FRANKFURT BOOKFAIR 2011 - SpringerScience.pdfOrganic Computing systems. It presents and discusses the theoretical foundations of Organic Computing, basic methods and tools, learning

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FRANKFURT BOOKFAIR 2011

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springer.com Biomedicine 2

Biomedicine

I. Couillin, CNRS, Orléans, France; V. Pétrilli, Centre Léon

Bérard, Lyon, France; F. Martinon, Harvard School of Public

Health, Boston, MA, USA (Eds.)

The Inflammasomes

The inflammasome was first described in 2002 as a

molecular complex activating proinflammatory cas-

pases and therefore regulating the maturation and

biological activities of cytokines such as IL-1# and

IL-18. This finding was substantiated by the identifi-

cation of several mutations in the cias1 gene, encod-

ing the human NLRP3 protein, responsible for several

autoinflammatory disorders such as the Muckle

Wells syndrome. Since, the interest for this com-

plex has constantly increased and several inflamma-

some complexes with different specificities have been

described. These inflammasomes sense a wide variety

of pathogens and danger signals and are key players

in the inflammatory response. With the contributions

of leading international experts in the field, this book

provides an extensive overview of the current knowl-

edge of inflammasome biology and their role in health

and disease.

More on www.springer.com/978-3-0348-0147-8

Usually dispatched within 3 to 5 business days

2011. XIII, 224 p. 24 illus., 9 in color. (Progress in

Inflammation Research) Hardcover

978-3-0348-0147-8 ▶139,95 €

M. von Itzstein, Griffith University, QLD, Australia (Ed.)

Influenza Virus Sialidase - A Drug

Discovery Target

Influenza continues to be an ongoing problem despite

the existence of vaccines and drugs. Disease out-

breaks can occur relatively quickly as witnessed with

the recent emergence of the influenza virus A/H1N1

pandemic. The development of new anti-influenza

drugs is thus a major challenge. This volume describes

all aspects of the virus structure and function rele-

vant to infection. The focus is on drug discovery of

inhibitors to the enzyme sialidase, which plays a key

role in the infectious lifecycle of the virus. Following

an overview of the influenza virus, the haemagglu-

tinin, the interactions with the cell receptors and the

enzymology of virus sialidase, recent results in drug

design are presented. These include a full coverage of

the design, synthesis and evaluation of carbohydrate

as well as non-carbohydrate influenza virus sialidase

inhibitors. Further reviews of the clinical experience

with influenza virus sialidase inhibitors and of the

development of resistance to these inhibitor drugs

complement the topic.



2012. IX, 178 p. 58 illus., 21 in color. (Milestones in Drug

Therapy) Hardcover

978-3-7643-8926-0 ▶139,95 €

3rd Edition

F.P. Nijkamp, Utrecht University, The Netherlands; M.J. Parn-

ham, University Hospital for Infectious Diseases, Zagreb,

Croatia (Eds.)

Principles of

Immunopharmacology

Principles of Immunopharmacology provides a

unique source of essential knowledge on the immune

response, its diagnosis and its modification by drugs

and chemicals. The third edition of this internation-

ally recognized textbook has been revised to include

recent developments, but continues the established

format, dealing with four related fields in a single vol-

ume, thus obviating the need to refer to several differ-

ent textbooks.The first section of the book, providing

a basic introduction to immunology and its relevance

for human disease, has been updated to accommo-

date new immunological concepts, including den-

dritic cells. The second section on immunodiagnostics

offers a topical description of widely used molecular

techniques and is followed by a systematic coverage

of drugs affecting the immune system, including nat-

ural products. This third section contains 15 updated

chapters, covering classical immunopharmacolog-

ical topics such as anti-asthmatic, anti-rheumatic

and immunosuppressive drugs, but also deals with

antibiotics, plant-derived and dietary agents, with

a new chapter on probiotics. The book concludes

with a chapter on immunotoxicology and drug safety

tests. Aids to the reader include a two-column format,

glossaries of technical terms and appendix reference

tables. The emphasis on illustrations, many of which

have been redrawn for this edition, is maintained

from the first two editions. The book is a valuable sin-

gle reference for postgraduate medical and biomedical

students, postgraduate chemistry and pharmacy stu-

dents, researchers in chemistry, biochemistry and the

pharmaceutical industry and researchers lacking basic

immunological knowledge, who want to understand

the actions of drugs on the immune system. The first

section of the book, providing a basic introduction to

immunology and its relevance for human disease, has

been updated to accommodate new immunological

concepts, including dendritic cells. The second section

on immunodiagnostics offers a topical description of

widely used molecular techniques and is followed by

a systematic coverage of drugs affecting the immune

system, including natural products. This third sec-

tion contains 15 updated chapters, covering classical

immunopharmacological topics such as anti-asth-

matic, anti-rheumatic and immunosuppressive drugs,

but also deals with antibiotics, plant-derived and

dietary agents, with a new chapter on probiotics. The

book concludes with a chapter on immunotoxicol-

ogy and drug safety tests. Aids to the reader include a

two-column format, glossaries of technical terms and

appendix reference tables. The emphasis on illustra-

tions, many of which have been redrawn for this edi-

tion, is maintained from the first two editions. The

book is a valuable single reference for postgraduate

medical and biomedical students, postgraduate chem-

istry and pharmacy students, researchers in chemistry,

biochemistry and the pharmaceutical industry and

researchers lacking basic immunological knowledge,

who want to understand the actions of drugs on the

immune system.


Usually dispatched within 3 to 5 business days August 31,

2011

2011. XXXI, 728 p. 162 illus., 37 in color. Softcover

978-3-0346-0135-1 ▶89,95 €

M. Sibilia, Medical University of Vienna, Austria; C.C. Zielin-

ski, Medical University of Vienna, Austria; R. Bartsch, Medical

University of Vienna, Austria; Th.W. Grunt, Medical Univer-

sity of Vienna, Austria (Eds.)

Drugs for HER-2-positive Breast

Cancer

Growth factor receptors have long been known to

drive malignant transformation and cancer progres-

sion. The epidermal growth factor receptor (EGFR,

ErbB, HER) system is likely the best described mem-

brane receptor tyrosine kinase family in malig-

nant tumors. With implementation of the growth-

inhibitory anti-HER-2 antibody trastuzumab (Her-

ceptin) for the treatment of HER-2-positive advanced

metastatic breast cancer, a new era has dawned in

the therapy of this malignant disease. Unfortunately,

trastuzumab-sensitive cancers invariably develop

resistance to the antibody after some time. Recent

clinical studies have revealed that these refractory

tumors are still responsive to inhibition of the HER

receptor family using dual HER-1/-2 inhibitors such

as lapatinib (Tykerb/Tyverb). Moreover, a multiplicity

of novel, improved irreversibly acting small molecular

HER tyrosine kinase inhibitors are in the pipeline of

http://www.springer.com/978-3-0348-0147-8



springer.com Business & Economics 3

many drug developing companies and are being eval-

uated in the clinical setting.



2011. IX, 110 p. (Milestones in Drug Therapy) Hardcover

978-3-0346-0093-4 ▶99,95 €

V. Sunjic, University of Zagreb, Zagreb, Croatia; M.J. Parn-

ham, University Hospital for Infectious Diseases, Zagreb,

Croatia

Signposts to Chiral Drugs

Organic Synthesis in Action

.



2011. XX, 232 p. 253 illus., 19 in color. Hardcover

978-3-0348-0124-9 ▶139,95 €

N. Vergnolle, INSERM, Toulouse, France; M. Chignard, Insti-

tut Pasteur, Paris, France (Eds.)

Proteases and Their Receptors in

Inflammation

Proteases are everywhere from prokaryotes to eukary-

otes, from virus to bacteria and in all human tissues,

playing a role in many biological functions. Among

these functions, the inflammatory reaction is of par-

ticular interest. In inflamed tissues, proteases can

have a microbial and/or host origin and are involved

not only in tissue remodeling, but also in specific sig-

naling to resident or inflammatory cells, thereby con-

tributing to the innate immune response. This volume

presents all advances in our knowledge of the role

proteases and their inhibitors play in various diseases

associated with inflammatory response. Mechanisms

involved in protease signaling to cells are presented,

and the different types of proteases that are present at

inflammatory sites and their effects on the course of

inflammation are discussed. Finally, the evidence for

considering proteases and their receptors as potential

molecular targets for therapeutic interventions in the

treatment of inflammatory diseases is discussed in the

context of specific organ inflammatory pathologies

(the lung, gastrointestinal tract, skin, joints, etc.).



2011. XIV, 308 p. 30 illus., 19 in color. (Progress in

Inflammation Research) Hardcover

978-3-0348-0156-0 ▶139,95 €

Business & Economics

S. Dombrowski, BVL Berlin (Ed.)

Berichte zum Wirtschaftlichen

Verbraucherschutz 2009/2010

Nach § 3 Abs. 2 EG-Verbraucherschutzdurchset-

zungsgesetz (VSchDG) berichtet das Bundesamt

für Verbraucherschutz und Lebensmittelsicher-

heit (BVL) als Zentrale Verbindungsstelle den

für den Verbraucherschutz zuständigen ober-

sten Landesbehörden jährlich umfassend und

in anonymisierter Form über die im Zusam-

menhang mit dem VSchDG empfangenen und

weitergeleiteten Ersuchen um Amtshilfe und

Informationsaustausch.Nach Artikel 21 Abs. 2 der

Verordnung (EG) Nr. 2006/2004 über die Zusamme-

narbeit im Verbraucherschutz erstatten die Mitglied-

staaten der Europäischen Kommission alle zwei Jahre

Bericht über die Durchführung der Verordnung. Für

Deutschland nimmt diese Aufgabe ebenfalls das BVL

wahr. Die vorliegenden Berichte enthalten die rele-

vanten Angaben für die Jahre 2009 und 2010.



2011. VI, 22 S. (BVL-Reporte, Vol. 5.7) Softcover

978-3-0348-0182-9 ▶23,36 €

Computer Science

C. Müller-Schloer, Leibniz Universität Hannover, Germany;

H. Schmeck, Karlsruhe Institute of Technology, Germany; T.

Ungerer, Universität Augsburg, Germany (Eds.)

Organic Computing — A

Paradigm Shift for Complex

Systems

Organic Computing has emerged as a challenging

vision for future information processing systems.

Its basis is the insight that we will increasingly be

surrounded by and depend on large collections of

autonomous systems, which are equipped with sen-

sors and actuators, aware of their environment, com-

municating freely, and organising themselves in order

to perform actions and services required by the users.

These networks of intelligent systems surround-

ing us open fascinating application areas and at the

same time bear the problem of their controllability.

Hence, we have to construct such systems as robust,

safe, flexible, and trustworthy as possible. In partic-

ular, a strong orientation towards human needs as

opposed to a pure implementation of the technolog-

ically possible seems absolutely central. The techni-

cal systems, which can achieve these goals will have

to exhibit life-like or "organic" properties. "Organic

Computing Systems" adapt dynamically to their cur-

rent environmental conditions. In order to cope with

unexpected or undesired events they are self-organ-

ising, self-configuring, self-optimising, self-healing,

self-protecting, self-explaining, and context-aware,

while offering complementary interfaces for higher-

level directives with respect to the desired behaviour.

First steps towards adaptive and self-organising

computer systems are being undertaken. Adaptiv-

ity, reconfigurability, emergence of new properties,

and self-organisation are hot topics in a variety of

research groups worldwide. This book summarises

the results of a 6-year priority research program (SPP)

of the German Research Foundation (DFG) address-

ing these fundamental challenges in the design of

Organic Computing systems. It presents and discusses

the theoretical foundations of Organic Computing,

basic methods and tools, learning techniques used in

this context, architectural patterns and many applica-

tions. The final outlook shows that in the mean-time

Organic Computing ideas have spawned a variety of

promising new projects.



2011. XXX, 627 p. 100 illus., 10 in color. (Autonomic Systems)

Softcover

978-3-0348-0129-4 ▶109,95 €






4 Earth Sciences springer.com

Earth Sciences

W.L. Bandy, Universidad Nacional Autónoma de México;

Y. Taran, Universidad Nacional Autónoma de México; C.M.

Gutiérrez, Universidad Nacional Autónoma de México; V.

Kostoglodov, Universidad Nacional Autónoma de México

(Eds.)

Geodynamics of the Mexican

Pacific Margin

“Geodynamics of the Mexican Pacific Margin”

presents the results of studies from various disciplines

whose common goal is to better understand the com-

plex geodynamic processes that exist along the Pacific

margin of Mexico. The seventeen papers include con-

tributions in the fields of seismology, marine geo-

physics, geomorphology, petrology, geodesy, and

subductology presented by investigators from Mex-

ico, France, Spain, and the USA. These contributions

illustrate why the Mexican Pacific margin is fertile

ground for investigating a wide and rare combination

of current geodynamic processes such as subduction,

continental rifting and associated seismicity, deforma-

tions and magmatism. The volume will be useful to a

diverse group of investigators whose interests include

the geodynamics of western Mexico in particular, and

geodynamics in general.



2011. 284 p. (Pageoph Topical Volumes) Softcover

978-3-0348-0196-6 ▶49,95 €

G.F. Panza, University of Trieste, Italy; K. Irikura, Aichi Insti-

tute of Technology, Toyota, Japan; M. Kouteva-Guentcheva,

Bulgarian Academy of Sciences, Sofia, Bulgaria; A. Peresan,

University of Trieste, Italy; Z. Wang, University of Kentucky,

Lexington, KY, USA; R. Saragoni, University of Chile, Santi-

ago, Chile (Eds.)

Advanced Seismic Hazard

Assessment

Part I: Seismic Hazard Assessment

Issues pertaining to urban risks are a pressing concern

for those involved in disasters mitigation. Develop-

ment of effective mitigation strategies requires sound

seismic hazard information that is commonly derived

through a seismic hazard assessment (SHA). The pur-

pose of SHA is to provide a scientifically consistent

estimate of seismic hazard for engineering design and

other considerations. The time is ripe to move beyond

the old paradigms of the traditional Probabilistic Seis-

mic Hazard Analysis (PSHA). This two-part volume

advocates advanced methods for SHA that utilize up

to date earthquake science and basic scientific princi-

ples to derive the seismic hazard in terms of a ground

motion or related quantity and its occurrence fre-

quency at a site, as well as the associated uncertainty.

It aims to: 1) identify the issues in the current SHAs,

2) facilitate the development of a scientifically con-

sistent approach for SHA and 3) disseminate, both

in scientific and in engineering practice societies,

advanced reliable tools for independent hazard esti-

mates, like NDSHA (neo-deterministic SHA), which

incorporates physically based ground motion mod-

els. It provides a fresh approach to seismic hazard

analysis. Part 1 deals with the general issues of SHA

methodology review and development, as well as with

recent advances in earthquake science that may have

relevant implications toward an improved SHA. It is

addressed to seismologists, engineers and stake-hold-

ers, and aims to contribute to bridging between mod-

ern interdisciplinary research and practitioners.



2011. VI, 366 p. (Pageoph Topical Volumes) Softcover

978-3-0348-0039-6 ▶59,95 €

G.F. Panza, University of Trieste, Italy; K. Irikura, Aichi Insti-

tute of Technology, Toyota, Japan; M. Kouteva-Guentcheva,

Bulgarian Academy of Sciences, Sofia, Bulgaria; A. Peresan,

University of Trieste, Italy; Z. Wang, University of Kentucky,

Lexington, KT, USA; R. Saragoni, University of Chile, Santi-

ago, Chile (Eds.)

Advanced Seismic Hazard

Assessment

Part II: Regional Seismic Hazard and Seismic

Microzonation Case Studies

Issues pertaining to urban risks are a pressing concern

for those involved in disasters mitigation. Develop-

ment of effective mitigation strategies requires sound

seismic hazard information that is commonly derived

through a seismic hazard assessment (SHA). The pur-

pose of SHA is to provide a scientifically consistent

estimate of seismic hazard for engineering design and

other considerations. The time is ripe to move beyond

the old paradigms of the traditional Probabilistic Seis-

mic Hazard Analysis (PSHA). This two-part volume

advocates advanced methods for SHA that utilize up

to date earthquake science and basic scientific princi-

ples to derive the seismic hazard in terms of a ground

motion or related quantity and its occurrence fre-

quency at a site, as well as the associated uncertainty.

It aims to: 1) identify the issues in the current SHAs,

2) facilitate the development of a scientifically con-

sistent approach for SHA and 3) disseminate, both

in scientific and in engineering practice societies,

advanced reliable tools for independent hazard esti-

mates, like NDSHA (neo-deterministic SHA), which

incorporates physically based ground motion mod-

els. It provides a fresh approach to seismic hazard

analysis. Part 2 provides advanced SHA case studies,

concerning regional national and metropolitan esti-

mates for different parts of the world, including Asia,

Europe, North and South America. It is addressed to

seismologists, engineers and stake-holders, and aims

to contribute to bridging between modern interdisci-

plinary research and practitioners.




978-3-0348-0091-4 ▶59,95 €

K. Satake, University of Tokyo, Japan; A. Rabinovich, Institute

of Ocean Sciences, Sidney, BC, Canada; U. Kâno#lu, Middle

East Technical University, Ankara, Turkey; S. Tinti, University

of Bologna, Italy (Eds.)

Tsunamis in the World Ocean

Past, Present and Future Volume I

The Tsunami from the 1960 Chilean earthquake

affected the entire Pacific Ocean and motivated the

international coordination on tsunami research and

warning systems around the Pacific. However, the

2004 Indian Ocean tsunami affected the entire world,

and reminded that tsunamis are not a local or regional

problem but a global issue. This volume contains 18

papers, mostly presented at the 24th International

Tsunami Symposium held in 14-16 July 2009. They

reflect the current state of tsunami science, includ-

ing case studies of earthquake-generated tsunamis,

tsunami forecasting and hazard assessments, and

theoretical and computational modeling of tsunami

generation, propagation and coastal behavior. Cover

illustration: Based on a photograph from “Field Sur-

vey of the March 28, 2005 Nias-Simeulue Earthquake

and Tsunami” by J. C. Borrero, B. McAdoo, B. Jaffe,

L. Dengler, G. Gelfenbaum, B. Higman, R. Hidayat, A.

Moore, W. Kongko, Lukijanto, R. Peters, G. Prasetya,

V. Titov, and E. Yulianto.




978-3-0348-0187-4 ▶49,95 €





springer.com Geography 5

Geography

P. Huggenberger, University of Basel, Switzerland; J. Epting,

University of Basel, Switzerland (Eds.)

Urban Geology

Process-Oriented Concepts for Adaptive and

Integrated Resource Management

Urban subsurface resources and particularly urban

groundwater are vulnerable to environmental

impacts, and their rational management is of major

importance. In this book a multidisciplinary team

of specialists and scientists presents innovative pro-

cess-oriented approaches to the sustainable use of

these resources. The included case studies from

northwestern Switzerland describe representative

environments and are relevant for urban areas in gen-

eral. They illustrate the protection of groundwater;

river restoration; engineering and hydrogeological

questions related to urban infrastructure and manage-

ment concepts; as well as monitoring, modeling and

remediation strategies for contaminated sites; prob-

lems caused by karst in urban environments; the use

of shallow geothermal energy; and natural hazards

such as flood events and earthquakes. It is demon-

strated that modern quantitative earth sciences can

contribute significantly in finding solutions concern-

ing the sustainable use of subsurface resources in

urban environments. The book is an invaluable source

of information for hydrogeologists, geologists, urban

planners, water supply engineers, and environmental

agencies.



2011. XVI, 216 p. 92 illus., 25 in color. Hardcover

978-3-0348-0184-3 ▶99,95 €

Life Sciences

S. Dombrowski, BVL Berlin (Ed.)

Berichte zu Pflanzenschutzmitteln

2009

Jahresbericht Pflanzenschutz-

Kontrollprogramm

In der Bundesrepublik Deutschland überwachen

die Behörden der Länder die Einhaltung der

Vorschriften, die für das Inverkehrbringen und

die Anwendung von Pflanzenschutzmitteln gelten.

Das Pflanzenschutz-Kontrollprogramm ist ein bun-

desweit harmonisiertes Programm zur Überwachung

pflanzenschutzrechtlicher Vorschriften. Die

Durchführung und Berichterstattung der Kontrollen

erfolgten nach gemeinsamen Standards der Länder

auf Grundlage eines abgestimmten Handbuches. Die

Festlegung von Kontrolltatbeständen und die Betrieb-

sauswahl erfolgt durch die Länder; zusätzlich wer-

den bundesweite Kontrollschwerpunkte festgelegt.

Der vorliegende Bericht fasst die Ergebnisse des

Jahres 2009 zusammen. Bundesweit wurden in 2.727

Handelsbetrieben Verkehrskontrollen durchgeführt

und in 5.145 Betrieben der Landwirtschaft, des

Gartenbaus und der Forstwirtschaft Betriebs- oder

Anwendungskontrollen vorgenommen. Im Rahmen

der Überwachung der Verordnung über Pflanzen-

schutzmittel und Pflanzenschutzgeräte (Pflanzen-

schutzmittelverordnung) wurden des Weiteren

Pflanzenschutzgeräte von amtlichen bzw. amtlich

anerkannten Kontrollstellen überprüft. Die Zusam-

mensetzung und physikalische, chemische und tech-

nische Eigenschaften von 163 Pflanzenschutzmitteln

wurden untersucht.


Online orders shipping within 2-3 days.

2011. 40 S. 3 Abb. in Farbe. (BVL-Reporte, Vol. 5,4) Softcover

978-3-0348-0089-1 ▶23,36 €

Mathematics

A. Abbes, Université de Rennes, France

Éléments de Géométrie Rigide

Volume I. Construction et Étude Géométrique

des Espaces Rigides

La géométrie rigide est devenue, au fil des ans, un

outil indispensable dans un grand nombre de ques-

tions en géométrie arithmétique. Depuis ses premières

fondations, posées par J. Tate en 1961, la théorie

s’est développée dans des directions variées. Ce

livre est le premier volume d’un traité qui expose

un développement systématique de la géométrie

rigide suivant l’approche de M. Raynaud, basée sur

les schémas formels à éclatements admissibles près.

Ce volume est consacré à la construction des espaces

rigides dans une situation relative et à l’étude de leurs

propriétés géométriques. L’accent est particulièrement

mis sur l’étude de la topologie admissible d’un espace

rigide cohérent, analogue de la topologie de Zariski

d’un schéma. Parmi les sujets traités figurent l’étude

des faisceaux cohérents et de leur cohomologie, le

théorème de platification par éclatements admissibles

qui généralise au cadre formel-rigide un théorème

de Raynaud-Gruson dans le cadre algébrique, et

le théorème de comparaison du type GAGA pour

les faisceaux cohérents. Ce volume contient aussi

de larges rappels et compléments de la théorie des

schémas formels de Grothendieck. Ce traité est

destiné tout autant aux étudiants ayant une bonne

connaissance de la géométrie algébrique et souhai-

tant apprendre la géométrie rigide qu’aux experts

en géométrie algébrique et en théorie des nombres

comme source de références.



2011. XV, 496 p. (Progress in Mathematics, Vol. 286)

Hardcover

978-3-0348-0011-2 ▶85,26 €




6 Mathematics springer.com

D. Alpay, Ben Gurion University of the Negev, Beer Sheva,

Israel

A Complex Analysis Problem Book

This is a collection of exercises in the theory of ana-

lytic functions, with completed and detailed solutions.

We wish to introduce the student to application-

s and aspects of the theory of analytic functions not

always touched upon in a first course. Using appro-

priate exercises show the students some aspects of

what lies beyond a first course in complex variables.

We also discuss topics of interest for electrical engi-

neering students (for instance, the realization of ratio-

nal functions and its connections to the theory of

linear systems and state space representations of such

systems). Examples of important Hilbert spaces of

analytic functions (in particular the Hardy space and

the Fock space) are given. The book also includes

a part where relevant facts from topology, functional

analysis and Lebesgue integration are reviewed.



2011. X, 526 p. Softcover

978-3-0348-0077-8 ▶64,95 €

W. Arendt, University of Ulm, Germany; C.J.K. Batty, St. Johns

College, Oxford, UK; M. Hieber, TU Darmstadt, Germany; F.

Neubrander, Louisiana State University, Baton Rouge, USA

Vector-valued Laplace Transforms

and Cauchy Problems

Second Edition

This monograph gives a systematic account of the

theory of vector-valued Laplace transforms, ranging

from representation theory to Tauberian theorems.

In parallel, the theory of linear Cauchy problems and

semigroups of operators is developed completely

in the spirit of Laplace transforms. Existence and

uniqueness, regularity, approximation and above all

asymptotic behaviour of solutions are studied. Diverse

applications to partial differential equations are given.

The book contains an introduction to the Bochner

integral and several appendices on background mate-

rial. It is addressed to students and researchers inter-

ested in evolution equations, Laplace and Fourier

transforms, and functional analysis. The authors have

succeeded admirably in bringing together a wealth of

recent material, much of which appears in book form

for the first time. This authoritative work is likely

to become a standard reference on both the Laplace

transform and its applications to the abstract Cauchy

problem. … The book is an excellent textbook as

well. Proofs are always transparent and complete, and

many topics that could have been considered as back-

ground material are covered as well. All this makes

the text very accessible and self-contained. Appli-

cations to concrete differential operators are given

throughout the text. Each chapter ends with historical

and bibliographical comments. … In summary, this

book will be of interest to a wide audience of (func-

tional) analysts and it should have a place in every

mathematics library. Warmly recommended! Jan van

Neerven, Nieuw Archief voor Wiskunde, No. 3, 2003



2011. XII, 539 p. (Monographs in Mathematics, Vol. 96)

Hardcover

978-3-0348-0086-0 ▶99,95 €

Y. Arlinskii, East Ukrainian National University, Lugansk,

Ukraine; S. Belyi, Troy University, Troy, AL, USA; E.

Tsekanovskii, Niagara University, NY, USA

Conservative Realizations of

Herglotz-Nevanlinna Functions

This book is devoted to conservative realizations of

various classes of Stieltjes, inverse Stieltjes, and gen-

eral Herglotz-Nevanlinna functions as impedance

functions of linear systems. The main feature of the

monograph is a new approach to the realization the-

ory profoundly involving developed extension theory

in triplets of rigged Hilbert spaces and unbounded

operators as state-space operators of linear systems.

The connections of the realization theory to systems

with accretive, sectorial, and contractive state-space

operators as well as to the Phillips-Kato sectorial

extension problem, the Krein-von Neumann and

Friedrichs extremal extensions are provided. Among

other results the book contains applications to the

inverse problems for linear systems with non-self-

adjoint Schrödinger operators, Jacobi matrices, and

to the Nevanlinna-Pick system interpolation.



2011. XVIII, 528 p. 21 illus., 1 in color. (Operator Theory:

Advances and Applications, Vol. 217) Hardcover

978-3-7643-9995-5 ▶99,95 €

L. Barreira, Instituto Superior Técnico, Lisbon, Portugal

Thermodynamic Formalism and

Applications to Dimension Theory

This self-contained monograph presents a unified

exposition of the thermodynamic formalism and

some of its main extensions, with emphasis on the

relation to dimension theory and multifractal analysis

of dynamical systems. In particular, the book consid-

ers three different flavors of the thermodynamic for-

malism, namely nonadditive, subadditive, and almost

additive, and provides a detailed discussion of some of

the most significant results in the area, some of them

quite recent. It also includes a discussion of the most

substantial applications of these flavors of the thermo-

dynamic formalism to dimension theory and multi-

fractal analysis of dynamical systems.



2011. XII, 297 p. 5 illus. (Progress in Mathematics, Vol. 294)

Hardcover

978-3-0348-0205-5 ▶89,95 €

P. Brändén, Royal Institute of Technology, Stockholm, Swe-

den; M. Passare, Stockholm University, Sweden; M. Putinar,

University of California, Santa Barbara, CA, USA (Eds.)

Notions of Positivity and the

Geometry of Polynomials

The book consists of solicited articles from a select

group of mathematicians and physicists working at

the interface between positivity and the geometry,





springer.com Mathematics 7

combinatorics or analysis of polynomials of one or

several variables. It is dedicated to the memory of

Julius Borcea (1968-2009), a distinguished mathe-

matician, Professor at the University of Stockholm.

With his extremely original contributions and broad

vision, his impact on the topics of the planned volume

cannot be underestimated. All contributors knew or

have exchanged ideas with Dr. Borcea, and their arti-

cles reflect, at least partially, his heritage.



2011. XX, 403 p. 17 illus., 3 in color. (Trends in Mathematics)

Hardcover

978-3-0348-0141-6 ▶109,95 €

L. Bukovský, University P. J. Šafárik, Košice, Slovakia

The Structure of the Real Line

The rapid development of set theory in the last fifty

years, mainly in obtaining plenty of independence

results, strongly influenced an understanding of the

structure of the real line. This book is devoted to

the study of the real line and its subsets taking into

account the recent results of set theory. Whenever

possible the presentation is done without the full

axiom of choice. Since the book is intended to be self-

contained, all necessary results of set theory, topology,

measure theory, descriptive set theory are revisited

with the purpose to eliminate superfluous use of an

axiom of choice. The duality of measure and category

is studied in a detailed manner. Several statements

pertaining to properties of the real line are shown to

be undecidable in set theory. The metamathematics

behind it is shortly explained in the appendix. Each

section contains a series of exercises with additional

results.



2011. XIV, 536 p. 1 illus. in color. (Monografie

Matematyczne, Vol. 71) Hardcover

978-3-0348-0005-1 ▶99,95 €

F.A.C.C. Chalub, Universidade Nova de Lisboa, Portugal; J.F.

Rodrigues, Universidade de Lisboa, Portugal (Eds.)

The Mathematics of Darwin’s

Legacy

The book presents a general overview of mathemat-

ical models in the context of evolution. It covers a

wide range of topics such as population genetics,

population dynamics, speciation, adaptive dynam-

ics, game theory, kin selection, and stochastic pro-

cesses. Written by leading scientists working at the

interface between evolutionary biology and mathe-

matics the book is the outcome of a conference com-

memorating Charles Darwin's 200th birthday, and the

150th anniversary of the first publication of his book

"On the origin of species". Its chapters vary in for-

mat between general introductory and state-of-the-art

research texts in biomathematics, in this way address-

ing both students and researchers in mathematics,

biology and related fields. Mathematicians looking for

new problems as well as biologists looking for rigor-

ous description of population dynamics will find this

book fundamental.



2011. VIII, 293 p. 62 illus., 28 in color. (Mathematics and

Biosciences in Interaction, Vol.) Hardcover

978-3-0348-0121-8 ▶89,95 €

F. Colombo, Politecnico di Milano, Italy; I. Sabadini, Politec-

nico di Milano, Italy; D.C. Struppa, Chapman University,

Orange, CA, USA

Noncommutative Functional

Calculus

Theory and Applications of Slice

Hyperholomorphic Functions

This book presents a functional calculus for

n-tuples of not necessarily commuting lin-

ear operators. In particular, a functional calculus for

quaternionic linear operators is developed. These cal-

culi are based on a new theory of hyperholomorphic-

ity for functions with values in a Clifford algebra: the

so-called slice monogenic functions which are care-

fully described in the book. In the case of functions

with values in the algebra of quaternions these func-

tions are named slice regular functions. 

Except for the appendix and the introduction all

results are new and appear for the first time organized

in a monograph. The material has been carefully pre-

pared to be as self-contained as possible. The intended

audience consists of researchers, graduate and post-

graduate students interested in operator theory, spec-

tral theory, hypercomplex analysis, and mathematical

physics.



2011. VI, 221 p. 1 illus. in color. (Progress in Mathematics,

Vol. 289) Hardcover

978-3-0348-0109-6 ▶79,95 €

D.V. Cruz-Uribe, Trinity College, Hartford, CT, USA; J.M.

Martell, Instituto de Ciencias Matemáticas, Madrid, Spain; C.

Pérez, University of Sevilla, Spain

Weights, Extrapolation and the

Theory of Rubio de Francia

This book provides a systematic development of the

Rubio de Francia theory of extrapolation, its many

generalizations and its applications to one and two-

weight norm inequalities. The book is based upon a

new and elementary proof of the classical extrapo-

lation theorem that fully develops the power of the

Rubio de Francia iteration algorithm. This technique

allows us to give a unified presentation of the theory

and to give important generalizations to Banach func-

tion spaces and to two-weight inequalities. We pro-

vide many applications to the classical operators of

harmonic analysis to illustrate our approach, giving

new and simpler proofs of known results and prov-

ing new theorems. The book is intended for advanced

graduate students and researchers in the area of

weighted norm inequalities, as well as for mathemati-

cians who want to apply extrapolation to other areas

such as partial differential equations.



2011. XIII, 280 p. (Operator Theory: Advances and

Applications, Vol. 215) Hardcover

978-3-0348-0071-6 ▶79,95 €







V. Dragovi#, Mathematical Institute SANU, Belgrade, Serbia;

M. Radnovi#, Mathematical Institute SANU, Belgrade, Serbia

Poncelet Porisms and Beyond

Integrable Billiards, Hyperelliptic Jacobians and

Pencils of Quadrics

The goal of the book is to present, in a complete and

comprehensive way, areas of current research inter-

lacing around the Poncelet porism: dynamics of inte-

grable billiards, algebraic geometry of hyperelliptic

Jacobians, and classical projective geometry of pen-

cils of quadrics. The most important results and ideas,

classical as well as modern, connected to the Pon-

celet theorem are presented, together with a histor-

ical overview analyzing the classical ideas and their

natural generalizations. Special attention is paid to

the realization of the Griffiths and Harris programme

about Poncelet-type problems and addition theorems.

This programme, formulated three decades ago, is

aimed to understanding the higher-dimensional ana-

logues of Poncelet problems and the realization of

the synthetic approach of higher genus addition theo-

rems.



2011. VIII, 294 p. 75 illus., 1 in color. (Frontiers in

Mathematics) Softcover

978-3-0348-0014-3 ▶59,95 €

B. Duplantier, CEA Saclay, Gif-sur-Yvette, France; Th.C.

Halsey, ExxonMobil Upstream Research Company, Houston,

TX, USA; V. Rivasseau, Université de Paris-Sud, Orsay, France

(Eds.)

Glasses and Grains

Poincaré Seminar 2009

This tenth volume in the Poincaré Seminar Series

describes recent developments at one of the most

challenging frontiers in statistical physics - the deeply

related fields of glassy dynamics, especially near the

glass transition, and of the statics and dynamics of

granular systems. These fields are marked by a vig-

orous interchange between experiment, theory, and

numerical studies, all of which are well represented by

the leading experts who have contributed articles to

this volume. These articles are also highly pedagogi-

cal, as befits their origin in lectures to a broad scien-

tific audience. Highlights include a Galilean dialogue

on the mean field and competing theories of the glass

transition, a wide-ranging survey of colloidal glasses,

and experimental as well as theoretical treatments

of the relatively new field of dense granular flows.

This book should be of broad general interest to both

physicists and mathematicians.



2011. X, 157 p. 68 illus., 38 in color. (Progress in

Mathematical Physics, Vol. 61) Hardcover

978-3-0348-0083-9 ▶79,95 €

W. Dörfler, Karlsruhe Institute of Technology, Germany; A.

Lechleiter, Ecole Polytechnique, Palaiseau, France; M. Plum,

Karlsruhe Institute of Technology, Germany; G. Schneider,

University of Stuttgart, Germany; C. Wieners, Karlsruhe Insti-

tute of Technology, Germany

Photonic Crystals: Mathematical

Analysis and Numerical

Approximation

This volume collects a series of lectures which pro-

vide an introduction to the mathematical background

needed for the modeling and simulation of light,

in particular in periodic media, and for its applica-

tions in optical devices.The book concentrates on

the mathematics of photonic crystals, which form

an important class of physical structures investi-

gated in nanotechnology. Photonic crystals are mate-

rials which are composed of two or more different

dielectrics or metals, and which exhibit a spatially

periodic structure, typically at the length scale of hun-

dred nanometers.In the mathematical analysis and the

numerical simulation of the partial differential equa-

tions describing nanostructures, several mathemati-

cal difficulties arise, e. g., the appropriate treatment

of nonlinearities, simultaneous occurrence of contin-

uous and discrete spectrum, multiple scales in space

and time, and the ill-posedness of these problems.



2011. VIII, 162 p. (Oberwolfach Seminars, Vol. 42) Softcover

978-3-0348-0112-6 ▶24,95 €

J. Escher, Leibniz Universität Hannover, Germany; P.

Guidotti, University of California, Irvine, CA, USA; M. Hieber,

Technische Universität Darmstadt, Germany; P. Mucha, War-

saw University, Poland; J.W. Prüss, Universität Halle-Wit-

tenberg, Germany; Y. Shibata, Waseda University, Tokyo,

Japan; G. Simonett, Vanderbilt University, Nashville, TN,

USA; C. Walker, Leibniz Universität Hannover, Germany; W.

Zajaczkowski, Warsaw University of Technology, Poland

(Eds.)

Parabolic Problems

The Herbert Amann Festschrift

The volume originates from the 'Conference on Non-

linear Parabolic Problems' held in celebration of Her-

bert Amann's 70th birthday at the Banach Center

in Bedlewo, Poland. It features a collection of peer-

reviewed research papers by recognized experts high-

lighting recent advances in fields of Herbert Amann's

interest such as nonlinear evolution equations, fluid

dynamics, quasi-linear parabolic equations and sys-

tems, functional analysis, and more.



2011. XII, 717 p. 15 illus., 7 in color. (Progress in Nonlinear

Differential Equations and Their Applications, Vol. 80)

Hardcover

978-3-0348-0074-7 ▶159,95 €

I. Gavrilyuk, Staatliche Studienakademie Thüringen, Eise-

nach, Germany; M. Hermann, Friedrich Schiller University,

Jena, Germany; M.V. Kutniv, Lviv Polytechnical National Uni-

versity, Lviv, Ukraine; V. Makarov, National Academy of Sci-

ences of Ukraine, Kiev, Ukraine

Exact and Truncated Difference

Schemes for Boundary Value

ODEs

The book provides a comprehensive introduction to

compact finite difference methods for solving bound-

ary value ODEs with high accuracy. The correspond-

ing theory is based on exact difference schemes (EDS)

from which the implementable truncated difference

schemes (TDS) are derived. The TDS are now com-






petitive in terms of efficiency and accuracy with the

well-studied numerical algorithms for the solution

of initial value ODEs. Moreover, various a posteriori

error estimators are presented which can be used in

adaptive algorithms as important building blocks. The

new class of EDS and TDS treated in this book can

be considered as further developments of the results

presented in the highly respected books of the Rus-

sian mathematician A. A. Samarskii. It is shown that

the new Samarskii-like techniques open the horizon

for the numerical treatment of more complicated

problems. The book contains exercises and the corre-

sponding solutions enabling the use as a course text or

for self-study. Researchers and students from numer-

ical methods, engineering and other sciences will

find this book provides an accessible and self-con-

tained introduction to numerical methods for solving

boundary value ODEs.



2011. XI, 247 p. (International Series of Numerical

Mathematics, Vol. 159) Hardcover

978-3-0348-0106-5 ▶79,95 €

I. Gavrilyuk, University of Cooperative Education, Staatliche

Studienakademie Thüringen, Berufsakademie Eisenach, Ger-

many; V. Makarov, National Academy of Sciences of Ukraine,

Kiev, Ukraine; V. Vasylyk, National Academy of Sciences of

Ukraine, Kiev, Ukraine

Exponentially Convergent

Algorithms for Abstract

Differential Equations

This book presents new accurate and efficient expo-

nentially convergent methods for abstract differen-

tial equations with unbounded operator coefficients

in Banach space. These methods are highly relevant

for practical scientific computing since the equations

under consideration can be seen as the meta-models

of systems of ordinary differential equations (ODE)

as well as of partial differential equations (PDEs)

describing various applied problems. The frame-

work of functional analysis allows one to obtain very

general but at the same time transparent algorithms

and mathematical results which then can be applied

to mathematical models of the real world. The prob-

lem class includes initial value problems (IVP) for-

first order differential equations with constant and

variable unbounded operator coefficients in a Banach

space (the heat equation is a simple example), bound-

ary value problems for the second order elliptic differ-

ential equation with an operator coefficient (e.g. the

Laplace equation), IVPs for the second order strongly

damped differential equation as well as exponentially

convergent methods to IVPs for the first order non-

linear differential equation with unbounded operator

coefficients. For researchers and students of numer-

ical functional analysis, engineering and other sci-

ences this book provides highly efficient algorithms

for the numerical solution of differential equations

and applied problems.



2011. VIII, 180 p. 12 illus. (Frontiers in Mathematics)

Softcover

978-3-0348-0118-8 ▶39,95 €

M.A. de Gosson, Universität Wien, Austria

Symplectic Methods in Harmonic

Analysis and in Mathematical

Physics

The aim of this book is to give a rigorous and com-

plete treatment of various topics from harmonic anal-

ysis with a strong emphasis on symplectic invariance

properties, which are often ignored or underestimated

in the time-frequency literature. The topics that are

addressed include (but are not limited to) the the-

ory of the Wigner transform, the uncertainty princi-

ple (from the point of view of symplectic topology),

Weyl calculus and its symplectic covariance, Shubin’s

global theory of pseudo-differential operators, and

Feichtinger’s theory of modulation spaces. Several

applications to time-frequency analysis and quan-

tum mechanics are given, many of them concurrent

with ongoing research. For instance, a non-standard

pseudo-differential calculus on phase space is intro-

duced and studied, where the main role is played by

“Bopp operators” (also called “Landau operators” in

the literature). This calculus is closely related to both

the Landau problem and to the deformation quan-

tization theory of Flato and Sternheimer, of which

it gives a simple pseudo-differential formulation

where Feichtinger’s modulation spaces are key actors.

This book is primarily directed towards students or

researchers in harmonic analysis (in the broad sense)

and towards mathematical physicists working in

quantum mechanics. It can also be read with profit

by researchers in time-frequency analysis, providing

a valuable complement to the existing literature on

the topic. A certain familiarity with Fourier analysis

(in the broad sense) and introductory functional anal-

ysis (e.g. the elementary theory of distributions) is

assumed. Otherwise, the book is largely self-contained

and includes an extensive list of references.



2011. XXIV, 338 p. (Pseudo-Differential Operators, Vol. 7)

Softcover

978-3-7643-9991-7 ▶69,95 €

G. Grätzer, University of Manitoba, Winnipeg, Canada

Lattice Theory: Foundation

This book started with Lattice Theory, First Concepts,

in 1971. Then came General Lattice Theory, First Edi-

tion, in 1978, and the Second Edition twenty years

later. Since the publication of the first edition in 1978,

General Lattice Theory has become the authoritative

introduction to lattice theory for graduate students

and the standard reference for researchers. The First

Edition set out to introduce and survey lattice theory.

Some 12,000 papers have been published in the field

since then; so Lattice Theory: Foundation focuses on

introducing the field, laying the foundation for special

topics and applications. Lattice Theory: Foundation,

based on the previous three books, covers the fun-

damental concepts and results. The main topics are

distributivity, congruences, constructions, modular-

ity and semimodularity, varieties, and free products.

The chapter on constructions is new, all the other

chapters are revised and expanded versions from

the earlier volumes. Over 40 “diamond sections’’,

many written by leading specialists in these fields,

provide a brief glimpse into special topics beyond

the basics.“Lattice theory has come a long way... For

those who appreciate lattice theory, or who are curi-

ous about its techniques and intriguing internal prob-

lems, Professor Grätzer's lucid new book provides a

most valuable guide to many recent developments.

Even a cursory reading should provide those few who

may still believe that lattice theory is superficial or

naive, with convincing evidence of its technical depth

and sophistication.” Garrett Birkhoff (Bulletin of the

American Mathematical Society)“Grätzer’s book Gen-

eral Lattice Theory has become the lattice theorist’s

bible.” (Mathematical Reviews)



2011. XXIX, 613 p. Softcover

978-3-0348-0017-4 ▶64,95 €






G. Gupur, Xinjiang University, Urumqi, China

Functional Analysis Methods for

Reliability Models

The main goal of this book is to introduce readers

to functional analysis methods, in particular, time

dependent analysis, for reliability models. Under-

standing the concept of reliability is of key impor-

tance – schedule delays, inconvenience, customer

dissatisfaction, and loss of prestige and even weak-

ening of national security are common examples of

results that are caused by unreliability of systems

and individuals. The book begins with an introduc-

tion to C0-semigroup theory. Then, after a brief his-

tory of reliability theory, methods that study the well-

posedness, the asymptotic behaviors of solutions

and reliability indices for varied reliability models

are presented. Finally, further research problems are

explored. Functional Analysis Methods for Reliability

Models is an excellent reference for graduate students

and researchers in operations research, applied math-

ematics and systems engineering.



2011. VIII, 277 p. (Pseudo-Differential Operators, Vol. 6)

Softcover

978-3-0348-0100-3 ▶64,95 €

H. Hofer, Institute for Advanced Study, Princeton, NJ, USA; E.

Zehnder, ETH Zürich, Switzerland

Symplectic Invariants and

Hamiltonian Dynamics

The discoveries of the last decades have opened new

perspectives for the old field of Hamiltonian sys-

tems and led to the creation of a new field: symplectic

topology. Surprising rigidity phenomena demon-

strate that the nature of symplectic mappings is very

different from that of volume preserving mappings.

This raises new questions, many of them still unan-

swered. On the other hand, analysis of an old varia-

tional principle in classical mechanics has established

global periodic phenomena in Hamiltonian systems.

As it turns out, these seemingly different phenom-

ena are mysteriously related. One of the links is a class

of symplectic invariants, called symplectic capaci-

ties. These invariants are the main theme of this book,

which includes such topics as basic symplectic geome-

try, symplectic capacities and rigidity, periodic orbits

for Hamiltonian systems and the action principle, a

bi-invariant metric on the symplectic diffeomorphism

group and its geometry, symplectic fixed point the-

ory, the Arnold conjectures and first order elliptic

systems, and finally a survey on Floer homology and

symplectic homology. The exposition is self-contained

and addressed to researchers and students from the

graduate level onwards. ------ All the chapters have a

nice introduction with the historic development of the

subject and with a perfect description of the state of

the art. The main ideas are brightly exposed through-

out the book. (…) This book, written by two expe-

rienced researchers, will certainly fill in a gap in the

theory of symplectic topology. The authors have taken

part in the development of such a theory by them-

selves or by their collaboration with other outstanding

people in the area.(Zentralblatt MATH) This book is

a beautiful introduction to one outlook on the excit-

ing new developments of the last ten to fifteen years in

symplectic geometry, or symplectic topology, as cer-

tain aspects of the subject are lately called. (…) The

authors are obvious masters of the field, and their

reflections here and there throughout the book on the

ambient literature and open problems are perhaps the

most interesting parts of the volume.(Matematica)



2011. XIV, 341 p. 49 illus. (Modern Birkhäuser Classics)

Softcover

978-3-0348-0103-4 ▶59,95 €

C. Mantegazza, Scuola Normale Superiore di Pisa, Italy

Lecture Notes on Mean Curvature

Flow

This book is an introduction to the subject of mean

curvature flow of hypersurfaces with special empha-

sis on the analysis of singularities. This flow occurs in

the description of the evolution of numerous physi-

cal models where the energy is given by the area of the

interfaces. These notes provide a detailed discussion

of the classical parametric approach (mainly devel-

oped by R. Hamilton and G. Huisken). They are well

suited for a course at PhD/PostDoc level and can be

useful for any researcher interested in a solid intro-

duction to the technical issues of the field. All the

proofs are carefully written, often simplified, and con-

tain several comments. Moreover, the author revisited

and organized a large amount of material scattered

around in literature in the last 25 years.



2011. XII, 166 p. 1 illus. (Progress in Mathematics, Vol. 290)

Hardcover

978-3-0348-0144-7 ▶79,95 €

C. Okonek, Universität Zürich, Switzerland; M. Schneider,

Universität Bayreuth, Germany; H. Spindler, Universität

Osnabrück, Germany

Vector Bundles on Complex

Projective Spaces

With an Appendix by S. I. Gelfand

This expository treatment is based on a survey given

by one of the authors at the Séminaire Bourbaki in

November 1978 and on a subsequent course held at

the University of Göttingen. It is intended to serve as

an introduction to the topical question of classifica-

tion of holomorphic vector bundles on complex pro-

jective spaces, and can easily be read by students with

a basic knowledge of analytic or algebraic geometry.

Short supplementary sections describe more advanced

topics, further results, and unsolved problems. This

is a corrected third printing with an Appendix by S.

I. Gelfand. ------ The present book is the first one,

within the extensive literature on algebraic vector

bundles, to give both a self-contained introduction

to the basic methods and an exposition of the cur-

rent state of the classification theory of algebraic vec-

tor bundles over Pn(C). (…) The reviewer thinks that

readers should be grateful to the authors for present-

ing the first detailed, self-contained and systematic

textbook on vector bundles over projective varieties.

They have put in a lot of their own results to sim-

plify and to systematize many proofs, and to lead the

reader to the current research in this field as quickly

as possible.(Mathematical Reviews) (…) every sec-

tion ends with historical comments, further results,

and open questions. This brings the reader up to date

and provides a guide for further work.(Bulletin of

the American Mathematical Society) (…) the funda-

mental appendix essentially enhance this outstanding

standard textbook and research monograph on vector

bundles.(Mathematical Reviews)



1980. VIII, 239 p. (Modern Birkhäuser Classics, 0) Softcover

978-3-0348-0150-8 ▶49,95 €






L. Rodino, University of Torino, Italy; M.W. Wong, York

University, Toronto, ON, Canada; H. Zhu, York University,

Toronto, ON, Canada (Eds.)

Pseudo-Differential Operators:

Analysis, Applications and

Computations

This volume consists of eighteen peer-reviewed

papers related to lectures on pseudo-differential oper-

ators presented at the meeting of the ISAAC Group

in Pseudo-Differential Operators (IGPDO) held at

Imperial College London on July 13–18, 2009. Fea-

tured in this volume are the analysis, applications

and computations of pseudo-differential operators in

mathematics, physics and signal analysis. This volume

is a useful complement to the volumes “Advances in

Pseudo-Differential Operators”, “Pseudo-Differential

Operators and Related Topics”, “Modern Trends in

Pseudo-Differential Operators”, “New Developments

in Pseudo-Differential Operators” and “Pseudo-Dif-

ferential Operators: Complex Analysis and Partial

Differential Equations” published in the same series

in, respectively, 2004, 2006, 2007, 2009 and 2010.



2011. VII, 309 p. 8 illus., 6 in color. (Operator Theory:

Advances and Applications, Vol. 213) Hardcover

978-3-0348-0048-8 ▶109,95 €

M. Ruzhansky, Imperial College London, UK; J. Wirth, Univer-

sity of Stuttgart, Germany (Eds.)

Modern Aspects of the Theory of

Partial Differential Equations

The book provides a quick overview of a wide range

of active research areas in partial differential equa-

tions such as evolution equations and estimates for

their solutions, control theory, inverse problems, non-

linear equations, elliptic theory on singular domains,

numerical approaches. It will serve as a useful source

of information to mathematicians, scientists and

engineers. Contributors: Y.P. Apakov G. Avalos L.

Bociu L. Boutet de Monvel F. Colombo G. Frag-

nelli M. Ghergu D. Guidetti U.U. Hrusheuski T.Sh.

Kalmenov I.U. Khaydarov S. Khodjiev V. Kokilashvili

C. Lebiedzik P. Loreti F. Macià D. Mugnai M. Reissig

M.S. Salakhitdinov B.-W. Schulze D. Sforza L. Simon

D. Suragan D. Toundykov R. Triggiani A.K. Urinov

O.S. Zikirov J.-P. Zolésio



2011. VII, 367 p. 6 illus. (Advances in Partial Differential

Equations, Vol. 216) Hardcover

978-3-0348-0068-6 ▶109,95 €

D.A. Salamon, ETH Zürich, Schweiz

Funktionentheorie

Dies ist ein neues Lehrbuch über Funktionentheorie,

konzipiert als begleitender Text für eine einsemestrige

einführende Vorlesung auf diesem Gebiet. Einige

weiterführende Themen werden ebenfalls behandelt.

Der Anhang enthält drei Kapitel über den Zusam-

menhangsbegriff, kompakte metrische Räume und

harmonische Funktionen.



2012. VIII, 218 S. (Grundstudium Mathematik, Vol.)

Softcover

978-3-0348-0168-3 ▶23,32 €

A. Unterberger, Université de Reims, France

Pseudodifferential Analysis,

Automorphic Distributions in the

Plane and Modular Forms

Pseudodifferential analysis, introduced in this book

in a way adapted to the needs of number theorists,

relates automorphic function theory in the hyperbolic

half-plane # to automorphic distribution theory in

the plane. Spectral-theoretic questions are discussed

in one or the other environment: in the latter one,

the problem of decomposing automorphic functions

in # according to the spectral decomposition of the

modular Laplacian gives way to the simpler one of

decomposing automorphic distributions in R2 into

homogeneous components. The Poincaré summation

process, which consists in building automorphic dis-

tributions as series of g-transforms, for g Î SL(2;Z),

of some initial function, say in S(R2), is analyzed in

detail. On #, a large class of new automorphic func-

tions or measures is built in the same way: one of its

features lies in an interpretation, as a spectral den-

sity, of the restriction of the zeta function to any line

within the critical strip. The book is addressed to a

wide audience of advanced graduate students and

researchers working in analytic number theory or

pseudo-differential analysis.



2011. VIII, 300 p. (Pseudo-Differential Operators, Vol. 8)

Softcover

978-3-0348-0165-2 ▶69,95 €

V.P. Vizgin, Russian Academy of Sciences, Moscow, Russia

Unified Field Theories

in the first third of the 20th century

Despite the rapidly expanding ambit of physi-

cal research and the continual appearance of new

branches of physics, the main thrust in its develop-

ment has been the attempt at a theoretical synthesis

of the entire body of physical knowledge. Vladimir

Vizgin's work presents perhaps the first systematic

historico-scientific study of the formation and devel-

opment of the unified field theories in the general

context of 20th century physics. Concentrating on the

first three decades of the century and drawing exten-

sively on Russian sources, the author analyses the first

successes, failures and paths of further development

of the unified field theories. He presents the evolu-

tion of these theories as a process of interaction/com-

petition between the geometric field and quantum

research programs, and ascertains the relevance of

these theories for fundamental concepts in modern

field theory. ------ The author presents in detail the

unified theories of Nordström, Weyl, Eddington,

Kaluza and Klein and numerous theories proposed

by Einstein. It is stressed that these theories, contrary

to the widely held view, were not completely fruitless.

They were precursors of the modern quantum gauge

field theories which inherited from them a number

of important concepts. The monograph presents the

first complete historical description of the subject. It is

addressed to all physicists and mathematicians inter-

ested in the history of unification in physics.(Zen-

tralblatt MATH) The reviewer calls attention to the






extensive bibliography of original papers (approxi-

mately 400 items).(Mathematical Reviews)



2011. XIX, 335 p. (Modern Birkhäuser Classics) Softcover

978-3-0348-0173-7 ▶59,95 €

V. Volpert, Université Claude Bernard Lyon 1, France

Elliptic Partial Differential

Equations

Volume 1: Fredholm Theory of Elliptic Problems

in Unbounded Domains

The theory of elliptic partial differential equa-

tions has undergone an important development over

the last two centuries. Together with electrostatics,

heat and mass diffusion, hydrodynamics and many

other applications, it has become one of the most

richly enhanced fields of mathematics. This mono-

graph undertakes a systematic presentation of the the-

ory of general elliptic operators. The author discusses

a priori estimates, normal solvability, the Fredholm

property, the index of an elliptic operator, operators

with a parameter, and nonlinear Fredholm opera-

tors. Particular attention is paid to elliptic problems

in unbounded domains which have not yet been suf-

ficiently treated in the literature and which require

some special approaches. The book also contains

an analysis of non-Fredholm operators and discrete

operators as well as extensive historical and biblio-

graphical comments. The selected topics and

the author's level of discourse will make this book a

most useful resource for researchers and graduate stu-

dents working in the broad field of partial differential

equations and applications.



2011. XVII, 639 p. 12 illus. (Monographs in Mathematics, Vol.

101) Hardcover

978-3-0346-0536-6 ▶99,95 €

K. Williams, Torino, Italy (Ed.)

Nexus Network Journal 12,1

Architecture and Mathematics



2011. IV, 160 p. (Nexus Network Journal, Vol. 12,1) Softcover

978-3-0346-0517-5 ▶79,95 €

K. Williams, Kim Williams Books, Torino, Italy (Ed.)

Crossroads: History of Science,

History of Art

Essays by David Speiser, vol. II

This collection of essays on relationships between

science, history of science, history of art and phi-

losophy is a multi-faceted sequel to the first vol-

ume, Discovering the Principles of Mechanics

1600-1800, published in 2008. During his career,

David Speiser was first and foremost a theoretical

physicist with first-hand knowledge of how funda-

mental research is carried out, but he was also a his-

torian of science and editor of historical writings as

well as a keen observer of works of art and architec-

ture. In these essays he compares and contrasts artis-

tic creations with scientific discoveries, the work of

the artist and that of the scientist, and process of anal-

ysis of the art historian to that of the historian of sci-

ence. What is revealed is how the limits of individual

disciplines can be pushed and sometimes completely

overcome as the result of input from and interac-

tions with other fields, and how progress may even be

impossible without such interactions. The reflections

elucidated here refute the idea, so engrained in our

thinking today, of the ‘two cultures’, and underline

the unity rather than the diversity inherent in creative

thought both scientific and artistic. Contained here

are ten papers, all newly edited with updated refer-

ences, four of which have been translated into English

for the first time, and completed with an index of

names. Intended for the specialist and non-specialist

alike, these essays set before us a feast of ideas.



2011. XII, 154 p. 37 illus., 13 in color. Hardcover

978-3-0348-0138-6 ▶69,95 €

K. Williams, Torino, Italy (Ed.)

Nexus Network Journal 13,1

Architecture and Mathematics

no text



2011. V, 150 p. (Nexus Network Journal, Vol. 13,1) Softcover

978-3-0348-0159-1 ▶79,95 €

M.W. Wong, York University, Toronto, ON, Canada

Discrete Fourier Analysis

This textbook presents basic notions and techniques

of Fourier analysis in discrete settings. Written in a

concise style, it is interlaced with remarks, discus-

sions and motivations from signal analysis. The

first part is dedicated to topics related to the Fourier

transform, including discrete time-frequency analy-

sis and discrete wavelet analysis. Basic knowledge of

linear algebra and calculus is the only prerequisite.

The second part is built on Hilbert spaces and Fourier

series and culminates in a section on pseudo-differen-

tial operators, providing a lucid introduction to this

advanced topic in analysis. Some measure theory lan-

guage is used, although most of this part is accessi-

ble to students familiar with an undergraduate course

in real analysis. Discrete Fourier Analysis is aimed

at advanced undergraduate and graduate students

in mathematics and applied mathematics. Enhanced







with exercises, it will be an excellent resource for the

classroom as well as for self-study.



2011. VIII, 177 p. 1 illus. in color. (Pseudo-Differential

Operators, Vol. 5) Softcover

978-3-0348-0115-7 ▶39,95 €

I. Yavetz, Tel Aviv University, Tel Aviv, Israel

From Obscurity to Enigma

The Work of Oliver Heaviside, 1872-1889

Oliver Heaviside’s contributions to electromagnetism,

electrical engineering, and applied mathematics have

consistently attracted attention. Of late they have

become a major source for the study of the develop-

ment of field theory after Maxwell. From Obscurity

to Enigma: The Work of Oliver Heaviside, 1872-1889

is a systematic, in-depth study of the most creative

period in Heaviside’s scientific career. During this

period he wrote the essays and articles that constitute

his two-volume Electrical Papers. Here he presented

his novel reformulation of Maxwell’s equations, cre-

ated the elements of vector algebra, produced the

first comprehensive theory of transmission lines,

suggested the inductive «loading» of telegraph and

telephone lines to improve long-distance commu-

nications, introduced his innovative version of the

operational calculus, and made several important

contributions to the electrodynamics of moving bod-

ies. From Obscurity to Enigma traces the evolution of

Heaviside’s ideas against the background of growing

knowledge in basic electromagnetic theory, telegra-

phy, and telephony at the time. It reveals the thematic

coherence that unifies his various publications, and

sheds considerable light on the reason for the excla-

mations of incomprehension that greeted his work

from the time of its publication to the present. The

book is an important contribution to the history of

science and technology in the late 19th and early

20th centuries, and will be appreciated by electri-

cal engineers, physicists, and applied mathemati-

cians. ------ (…) at present Yavetz is probably the

best adept of Heaviside’s life and work (…) The book

is just as factual as it is written in an engaged and con-

vincing way. The handwritten (notebooks, correspon-

dence) and printed primary sources as well as most

of the existing secondary literature on Heaviside are

carefully and critically treated, documented and com-

mented on. [translation from German] (Arch. Int.

Hist. Sci.) [This book] includes an analysis of many

of his papers and provides an historical account of

the likely origin and development of his ideas. Several

major themes are identified by the author as the orga-

nizing principles for Heaviside’s research and publica-

tion program.(Mathematical Reviews)



1995. XI, 334 p. 16 illus. (Modern Birkhäuser Classics)

Softcover

978-3-0348-0176-8 ▶59,95 €

W. Zulehner, Universität Linz

Numerische Mathematik

Eine Einführung anhand von

Differentialgleichungsproblemen Band 2:

Instationäre Probleme

"Numerische Mathematik", aufgeteilt in zwei Bände,

ist eine Einführung in die Numerische Mathe-

matik anhand von Differentialgleichungsproble-

men. Gegliedert nach elliptischen, parabolischen

und hyperbolischen Differentialgleichungen wird

zunächst jeweils die Diskretisierung solcher Prob-

leme besprochen. Als Diskretisierungstechniken

stehen Finite-Elemente-Methoden im Raum und

(partitionierte) Runge-Kutta-Methoden in der Zeit

im Vordergrund. Die diskretisierten Gleichungen

dienen als Motivation zur Diskussion von Methoden

für endlichdimensionale lineare und nichtlineare Gle-

ichungen, die anschließend als eigenständige Themen

behandelt werden. Auf diese Weise wird versucht,

nicht nur ein einführendes sondern auch ein in sich

abgeschlossenes Bild der Numerischen Mathematik,

zumindest in einem zentralen Aufgabenbereich, zu

vermitteln. Der zweite Band setzt mit der Diskussion

parabolischer und hyperbolischer Anfangsrandwert-

probleme fort. Die durch Semi-Diskretisierung im

Raum entstehenden Anfangswertprobleme dienen als

Einstieg und Motivation der anschließenden Behand-

lung allgemeiner Anfangswertprobleme gewöhnlicher

Differentialgleichungen erster und zweiter Ordnung.

Schließlich werden die für diese allgemeinen Prob-

lemstellungen erarbeiteten Erkenntnisse auf semi-

diskretisierte parabolische und hyperbolische Prob-

leme angewendet.



2011. 150 S. (Mathematik Kompakt) Softcover

978-3-7643-8428-9 ▶17,66 €




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