Maths Titles J&B

1www.jblearning.com

Mathematics

ISBN: 9781449649128 544pp Hardback 2013

FORTHCOMING

PREC

ALC

ULU

S Precalculus, 6/e

A Functional Approach to Graphing & Problem Solving

Karl J. SmithIt prepares students for the concepts and applications they will encounter in future calculus courses. In far too many texts, process is stressed over insight and understanding, and students move on to calculus ill equipped to think conceptually about its essential ideas. This text provides sound development of the important mathematical underpinnings of calculus, stimulating problems and exercises, and a well-developed, engaging pedagogy. Students will leave with a clear understanding of what lies ahead in their future calculus courses. Instructors will find that Smith’s straightforward, student-friendly presentation provides exactly what they have been looking for in a text! Contents: Algebraic and Geometrical Foundations • Functions with Problem Solving • Polynomial Functions • Additional Functions • Trigonometric Functions • Trigonometric Equations and Identities • Analytic Geometry • Sequences, Systems, and Matrices • Vectors and Solid Analytic Geometry

Precalculus With Calculus Previews, 5/e

Dennis G. Zill & Jacqueline M. DewarBuilding off the success of Zill and Dewar’s popular Essentials version, the new Fifth Edition of Precalculus with Calculus Previews continues to include all of the outstanding features and learning tools found in the original text while incorporating additional topics of coverage that some courses may require. With a continued effort to keep the text complete, yet concise, the authors have included four additional chapters making the text a clear choice for many mainstream courses. Additional chapters include a new chapter on Polar Coordinates, as well as Triangle Trigonometry, Systems of Equations and Inequalities, and Sequences and Series. This student-friendly, full-colour text offers numerous exercise sets and examples to aid in students’ learning and understanding, and graphs & figures throughout serve to better illuminate key concepts. The exercise sets include engaging problems that focus on algebra, graphing, and function theory, the sub-text of so many calculus problems. The authors are careful to use the terminology of calculus in an informal and comprehensible way to facilitate the student’s successful transition into future calculus courses. Contents: Inequalities, Equations, and Graphs • Functions • Polynomial & Rational Functions • Trigonometric Functions • Triangle Trigonometry • Exponential and Logarithmic Functions • Conic Sections • Polar Coordinates • Systems of Equations and Inequalities • Sequences and Series • Appendix A: Complex Numbers • Appendix B: Formulas from Geometry

ISBN: 9780763751777 792pp Hardback 2013

ISE PRICE: $79.00

InternationalStudent Edition


2 www.jblearning.com

MathematicsPR

ECA

LCU

LUS Essentials of Precalculus With Calculus

Previews, 5/e

Dennis G. Zill & Jacqueline M. DewarIt provides a complete, introduction to precalculus concepts, focusing on important topics that will be of direct & immediate use in most calculus courses. Has an outstanding collection of student & instructor resources. Contents: Inequalities, Equations & Graphs • The Real Line • Absolute Value • The Rectangular Coordinate System • Circles & Graphs • Algebra & Limits • Functions • Functions & Graphs • Symmetry & Transformations • Linear Functions • Quadratic Functions • Piecewise-Defined Functions • Combining Functions • Inverse Functions • Building a Function from Words • The Tangent Line Problem • Polynomial & Rational Functions • Polynomial Functions • Division of Polynomial Functions • Zeros & Factors of Polynomial Functions • Real Zeros of Polynomial Functions • Rational Functions • Partial Fractions • The Area Problem • Trigonometric Functions • Angles & Their Measurement • The Sine & Cosine Functions • Graphs of Sine & Cosine Functions • Other Trigonometric Functions • Special Identities • Trigonometric Equations• Inverse Trigonometric Functions • Simple Harmonic Motion • Right Triangle Trigonometry • Law of Sines & Law of Cosines • The Limit of Concept Revisited • Exponential & Logarithmic Functions • Exponential Functions • Logarithmic Functions • Exponential & Logarithmic models • The Hyperbolic Functions • Conic Sections • The Parabola • The Ellipse • The Hyperbola • The Polar Coordinate System • Graphs of Polar Equations • Conic Sections in Polar Coordinates • Parametric Equations • 3-Space • Final Examination • Index

Calculus, 4/e

Early Transcendentals

Dennis G. Zill & Warren S. WrightIt provides the student-friendly presentation and robust examples and problem sets for which Dennis Zill is known. This outstanding revision incorporates all of the exceptional learning tools that have made Zill’s texts a resounding success. He carefully blends the theory and application of important concepts while offering modern applications and problem-solving skills. Key Features: Each exercise set is clearly partitioned into groups of problems using headings such as Fundamentals, Applications, Mathematical Models, Projects, Calculator/CAS Problems, etc • Each chapter opens with its own table of contents and an introduction to the material covered in the chapter • The text ends with Resource Pages, which is a compact review of basic concepts from algebra, geometry, trigonometry, and calculus • Instructor’s resources include a complete solutions manual and test items • Includes examples and applications ideal for science and engineering students. Contents: Functions • Limit of a Function • The Derivative • Applications of the Derivative • Integrals • Applications of the Integral • Techniques of Integration • First-Order Differential Equations • Sequences and Series • Conics and Polar Coordinates • Vectors and 3-Space • Vector-Valued Functions • Partial Derivatives • Multiple Integrals • Vector Integral Calculus • Higher-Order Differential Equations • Appendices

CA

LCU

LUS

ISBN: 9781449614973 440pp Hardback 2012

ISE PRICE: $72.00

ISBN: 9780763786526 994pp Paperback 2011

ISE PRICE: $75.00



CA

LCU

LUS

3www.jblearning.com

MathematicsC

ALC

ULU

S Single Variable Calculus, 4/eEarly Transcendentals

Dennis G. Zill & Warren S. WrightStudents are provided with a solid foundation in important mathematical concepts & problem solving skills, while maintaining the level of rigor expected of a Calculus course. Contents: Functions & Graphs • Combining Functions • Polynomial & Rational Functions • Transcendental Functions • Inverse Functions • Exponential & Logarithmic Functions • From Words to Functions • Limit of a Function • Limits-An Informed Approach • Limit Theorems • Continuity • Trigonometric Limits • Limits That Involve Infinity • Limits- A Formal Approach • The Tangent Line Problem • The Derivative • Power & Sum Rules • Product & Quotient Rules • Trigonometric Functions • Chain Rule • Implicit Differentiation • Derivative of Inverse Functions • Exponential Functions • Logarithmic Functions • Hyperbolic Functions • Applications of the Derivative • Rectilinear Motion • Related Rates • Extrema of Function • Mean Value Theorem • Limits Revisited- L’Hospital’s Rule • Graphing & the First Derivative • Graphing & the Second Derivative • Optimization • Linearization & Differentials • Newton’s Method • Integrals • The Indefinite Integral • Integration by the u-Substitution • The Area Problem • The Definite Integral • Fundamental Theorem of Calculus • Applications of the Integral • Rectilinear Motion Revisited • Area Revisited • Volumes of Solids: Slicing/ Shell Method • Length of a Graph • Area of a Surface of Revolution • Average Value of a Function • Work • Liquid Pressure & Force • Centers of Mass & Centroids • Techniques of Integration • Integration by Substitution/Parts • Powers of Trigonometric Functions • Trigonometric Substitution • Partial Fractions • Improper Integrals • Approximate Integration • First-Order Differential Equations • Sequences & Series • Conics & Polar Coordinates • Appendix

Multivariable Calculus, 4/e

Dennis G. Zill & Warren S. WrightPresents topics covered in a traditional third semester college calculus course. Contents: Sequences & Series • Sequences • Monotonic Sequences • Series • Integral Test • Comparison Test • Ratio & Root Tests • Alternating Series • Power Series • Representing Functions by Power Series • Taylor Series • Binomial Series • Conics & Polar Coordinates • Conic Sections • Parametric Equations • Calculus & Parametric Equations • Polar Coordinate System • Graphs of Polar Equations • Calculus in Polar Coordinates • Conic Sections in Polar Coordinates • Vectors & 3-Space • Vectors in 2-Space • 3-Space & Vectors • Dot Product • Cross Product • Lines in 3-Space • Planes • Cylinders & Spheres • Quadric Surfaces • Vector-Valued Functions • Vector Functions • Calculus of Vector Functions • Motion on a Curve • Curvature & Acceleration • Partial Derivatives • Functions of Several Variables • Limits & Continuity • Partial Derivatives • Linearization & Differentials • Chain Rule • Directional Derivative • Tangent Planes & Normal Lines • Extrema of Multivariable Functions • Method of Least Squares • Langrange Multipliers • Multiple Integrals • The Double Integral • Iterated Integrals • Evaluation of Double Integrals • Centre of Mass & Moments • Double Integrals in Polar Coordinates • Surface Area • The Triple Integral • Triple Integrals in Other Coordinate Systems • Change of Variables in Multiple Integrals • Vector Integral Calculus • Line Integrals of Vector Fields • Independence of the Path • Green’s Theorem • Parametric Surfaces & Areas • Surface Integrals • Curl & Divergence • Stoke’s Theorem • Divergence Theorem • Higher-Order Differential Equations • Exact First-Order Equations • Homogeneous Linear Equations • Nonhomogeneous Linear Equations • Mathematical Models • Power Series Solutions • Resource Pages • Answers • Index



ISBN: 9780763749651 674pp Hardback 2011

ISE PRICE: $69.00

ISBN: 9780763749668 470pp Hardback 2011

ISE PRICE: $66.00


Mathematics

Multivariable Calculus

David B Damiano & Margaret N FreijeBridges the gap between mathematical concepts and their real-world applications outside of mathematics. The ideas of multivariable calculus are presented in a context that is informed by their non-mathematical applications. It incorporates collaborative learning strategies and the sophisticated use of technology, which asks students to become active participants in the development of their own understanding of mathematical ideas. This teaching and learning strategy urges students to communicate mathematically, both orally and in writing. With extended examples, and exercises and a student-friendly accessible writing style, Multivariable Calculus is an exciting and engaging journey into mathematics relevant to students’ everyday lives. Key Features: Connections between mathematics and the sciences are central to the text • Selected applications appear in multiple contexts facilitating the use of different mathematical techniques to explore a physical model • Applied topics are chosen from the physical sciences and the life sciences and include traditional applications from mechanics as well as biomedical applications • Numerous exercises incorporate Maple as a tool to explore a topic in-depth or to investigate an extended application. Contents: Euclidean Space and Vectors • Parametric Curves and Vector Fields • Differentiation of Real-Valued Functions • Critical Points and Optimization • Integration • Integration on Curves • Integration on Surfaces • Appendix: Solutions to Selected Exercises • Index

A Transition to Mathematics with Proofs

Michael CullinaneDeveloped for the “transition” course for mathematics majors moving beyond the primarily procedural methods of their calculus courses toward a more abstract and conceptual environment found in more advanced courses, A Transition to Mathematics with Proofs emphasizes mathematical rigor and helps students learn how to develop and write mathematical proofs. The author takes great care to develop a text that is accessible and readable for students at all levels. It addresses standard topics such as set theory, number system, logic, relations, functions, and induction in at a pace appropriate for a wide range of readers. Throughout early chapters students gradually become aware of the need for rigor, proof, and precision, and mathematical ideas are motivated through examples. Key Features: Proof techniques and strategies are thoroughly discussed and the underlying logic behind them is made transparent • Each chapter section begins with a set of guided reading questions intended to help students in identifying the most significant points made within the section • Each chapter also includes a collection of problems, ranging in level of difficulty, which are perfect for in-class discussion or homework assignments. Contents: Mathematics and Mathematical Activity • Sets, Numbers, and Axioms • Elementary Logic • Planning and Writing Proofs • Relations and Functions • The Natural Numbers, Induction, and Counting • Further Mathematical Explorations

CA

LCU

LUS



ISBN: 9780763782474 544pp Hardback 2012

ISE PRICE: $71.00

ISBN: 9781449627782 448pp Hardback 2013

ISE PRICE: $60.00

CA

LCU

LUS

ALG

EBRA

5www.jblearning.com

MathematicsC

ALC

ULU

S


ISE PRICE: $24.00

ISBN: 9780763754617 750pp Hardback 2012

ISE PRICE: $75.00



Exploring Mathematics

Solving Problems With the TI-84 Plus Graphing Calculator

Jeffrey M GervasiExploring Mathematics: Solving Problems with the TI-84 Plus Graphing Calculator is a useful manual which provides students in precalculus, college algebra, and trigonometry courses with instruction on how to use a graphing calculator to solve a number of problems in their textbook. Students are urged to first make a conjecture about the solution based on their previous experience and knowledge from other math courses, and then test that conjecture with the aid of a graphing calculator. All references in the manual refer to the TI-84 Plus graphing calculator; however many of the keystrokes described also apply to the TI-83 Plus.

Contents: Correlation of Topics Chart • Getting Started • Conventions • The Viewing Rectangle • Graphing Equations • Locating Intercepts & Checking for Symmetry • Locating Intercepts • Checking for Symmetry • Solving Equations • Square Screens • Graphing Inequalities • Linear Inequalities • Systems of Linear Inequalities • Solving Systems of Linear Equations • Graphing Polar Equations • Graphing Parametric Equations • Least Squares Line

Algebra and Trigonometry, 3/e

Dennis G. Zill & Jacqueline M. DewarWritten for the undergraduate course, the Third Edition covers the principles of college algebra, trigonometry, and analytic geometry in the concise and student-friendly style that have made Zill’s texts a world-wide success. It includes all of the trademark features for which Zill is known, including lucid examples and problem sets, a rich pedagogy, a complete teaching and learning ancillary package, and much more. Throughout the text readers will find a wide range or word problems and relevant applications, historical accounts of famous mathematicians, and a variety of modern exercises. With an emphasis on problem solving, the examples are designed to motivate, instruct, and guide students, while urging them to test their comprehension, challenge their understanding, and apply their knowledge to real world situations. Ancillary package includes student solutions manual, instructor solutions manual & PowerPoint lecture slides.

Contents: Review of Basic Algebra • Equations and Inequalities • Rectangular Coordinate System and Graphs • Functions and Graphs • Polynomial and Rational Functions • Exponential and Logarithmic Functions • Right Triangle Trigonometry • Unit Circle Trigonometry • Applications of Trigonometry • Topics in Analytic Geometry • Polar Coordinates • Systems of Equations and Inequalities • Matrices & Determinants • Sequences, Series, and Probability • Final Examination • Index

ALG

EBRA


Mathematics

College Algebra, 3/e

Dennis G. Zill & Jacqueline M. DewarIt is the perfect text for the traditional college algebra course. Contents: Review of Basic Algebra • The Real Number System • The Real Number Line • Integer Exponents • Radicals • Rational Exponents • Polynomials & Special Products • Factoring Polynomials • Rational Expressions • Equations & Inequalities • Equation • Building an Equation from Words • Quadratic Equations • Complex Numbers • Linear Inequalities • Absolute-Value Equations & Inequalities • Polynomial & Rational Inequalities • Rectangular Coordinate Systems & Graphs • The Rectangular Coordinate System • Circles & Graphs • Equations of Lines • Variation • Functions & Graphs • Symmetry & Transformations • Linear & Quadratic Functions • Piecewise-Defined Functions • Combining Functions • Inverse Functions • Building a Function from Words • Least Squares Line • Polynomial & Rational Functions • Division of Polynomial Functions • Zeros & Factors of Polynomial Functions • Real Zeros of Polynomial Functions • Approximating Real Zeros • Rational Functions • Exponential & Logarithmic Functions • Exponential Functions • Logarithmic Functions • Exponential & Logarithmic Equations • Exponential & Logarithmic Models • Hyperbolic Functions • Topics in Analytic Geometry • The Parabola • The Ellipse • The Hyperbola • Systems of Equations & Inequalities • Systems of Linear Equations • Systems of Nonlinear Equations • Partial Fractions • Systems of Inequalities • Linear Programming • Matrices & Determinants • Introduction to Matrices • Algebra of Matrices • Determinants • Inverse of a Matrix • Linear Systems- Augmented Matrices; Matrix Inverses; Determinants • Cryptography • Sequences, Series & Probability • Sequences • Series • Convergence of Sequences & Series • Mathematical Induction • The Binomial Theorem • Principles of Counting • Introduction to Probability • Answers

Linear Algebra With Applications, 7/e

Gareth WilliamsIt is designed for the introductory course in linear algebra and is organized into 3 natural parts. Part 1 introduces the basics, presenting systems of linear equations, vectors and subspaces of Rn, matrices, linear transformations, determinants, and eigenvectors. Part 2 builds on this material, introducing the concept of general vector spaces, discussing properties of bases, developing the rank/nullity theorem and introducing spaces of matrices and functions. Part 3 completes the course with many of the important ideas and methods of numerical linear algebra, such as ill-conditioning, pivoting, and LU decomposition. Offering 28 core sections, the Seventh Edition successfully blends theory, important numerical techniques, and interesting applications making it ideal for engineers, scientists, and a variety of other majors. Key Features: A MATLAB manual is included as an appendix and provides students with computational practice exercises • An appendix on graphing calculators is provided • A Student Solutions Manual & Instructor’s Solutions Manual are available and contains complete solutions to all exercises.

Contents: Linear Equations and Vectors • Matrices and Linear Transformations • Determinants and Eigenvectors • General Vector Spaces • Coordinate Representations • Inner Product Spaces • Numerical Linear Algebra • Numerical Methods • Linear Programming • Appendices • Answers to Selected Exercises

ISBN: 9781449606022 544pp Hardback 2012

ISE PRICE: $72.00

ISBN: 9780763782481 532pp Hardback 2011

ISE PRICE: $75.00



ALG

EBRA

ALG

EBRA

7www.jblearning.com

Mathematics

Linear Algebra With Applications, 7/e

Alternate Edition

Gareth WilliamsBuilding upon the sequence of topics of the popular 5th Edition, Linear Algebra with Applications, Alternate Seventh Edition provides instructors with an alternative presentation of course material. In this edition earlier chapters cover systems of linear equations, matrices, and determinates. The vector space Rn is introduced in chapter 4, leading directly into general vector spaces and linear transformations. This order of topics is ideal for those preparing to use linear equations and matrices in their own fields. New exercises and modern, real-world applications allow students to test themselves on relevant key material and a MATLAB manual, included as an appendix, provides 29 sections of computational problems. Key Features: An appendix on graphing calculators is provided for those readers who plan to use a calculator to perform matrix operations • A Student Solutions Manual & Instructor’s Solutions Manual is available

Contents: Linear Equations • Matrices • Determinants • General Vector Spaces • Eigenvalues and Eigenvectors • Linear Transformation • Inner Product Spaces • Numerical Methods • Linear Programming • Appendices • Answers to Selected Exercises • Index

Linear Algebra

Theory and Applications

Ward Cheney & David KincaidThis multi-faceted introduction to linear algebra focuses on understanding and learning vector spaces, matrices, linear transformations, and other tools of applied linear algebra. With its flexible design, Linear Algebra: Theory and Applications is an ideal resource for instructors who wish to choose what material to cover. The text includes over 3100 problems and homework assignments of great variety to support their choice. A Student Solutions Manual & study guide provides worked solutions to selected exercises from the text. Contents: Systems of Linear Equations • Solving Systems of Linear Equations • Vectors & Matrices • Kernels, Rank, Homogeneous Equations• Vector Sub Spaces • Euclidean Vector Spaces • Lines, Planes & Hyperplanes • Linear Transformations • General Vector Space • Matrix Operations • Matrices • Determinants • Determinants: Introduction • Determinants: Properties • Vector Spaces • Column, Row & Null Spaces • Coordinate Systems • Eigensystems • Eigenvalues and Eigenvectors • Inner Product Vector Spaces • Inner Product Spaces • Orthogonality • Additional Topics • Hermitian Matrices & the Spectral Theorem • Matrix Factorizations and Block Matrices • Iterative Methods for Linear Equations • Appendix A: Deductive Reasoning and Proofs • Appendix B: Complex Arithmetic • Answers/Hints for General Exercises • References • Index

ISBN: 9780763782498 532pp Hardback 2011

ISE PRICE: $75.00


INDIAN PRICE: Rs.495.00


Jones & BartlettStudent Edition

ALG

EBRA


Mathematics

Trigonometry, 3/eDennis G. Zill & Jacqueline M. DewarDesigned for the one-term course in trigonometry, the Third Edition incorporates all of the many teaching and learning tools that have made Zill’s texts a resounding success. Contents: Prerequisites for Trigonometry • The Real Number Line • The Rectangular Coordinate System • Circles and Graphs • Equations of Lines • Functions and Graphs • Symmetry and Transformations • Linear & Quadratic Functions • Combining Functions • Inverse Functions • Building a Function From Words • Right Triangle Trigonometry • Angles and their Measure • Right Angle Trigonometry • Trigonometric Functions of Special Angles/General Angles • Unit Circle Trigonometry • The Circular Functions • Graphs of Sine & Cosine Functions • Graphs of Other Trigonometric Functions • Special Identities • Inverse Trigonometric Functions • Trigonometric Equations • Applications of Trigonometry • Solving Right Triangles • Applications of Right Triangles • Law of Sines • Simple Harmonic Motion • Complex Numbers and Vectors • Complex Numbers • Trigonometric Form of Complex Numbers • Powers and Roots of Complex Numbers • Vectors in the Plane • Dot Product • Exponential & Logarithmic Functions • Exponential Functions • Logarithmic Functions • Exponential and Logarithmic Equations/Logarithmic Models • Hyperbolic Functions • Topics in Analytic Geometry • The Parabola • The Ellipse • The Hyperbola • Rotation of Axes • Parametric Equations • Polar Coordinates • Graphs of Polar Equations • Conic Sections in Polar Coordinates • Appendixes • Index

Probability (With CD)David A. SantosIt provides the fundamentals of probability requiring minimal algebraic skills from the student. Contents: Sets & Functions • Sets • Set Operations • Inclusion-Exclusion • Functions • Arithmetical Functions • Countable & Uncountable Sets •Computer Activities • Arithmetic • Algebra • Sets & Lists • Number Theory • Programming• Combinatorics • Direct Counting • The Sum Rule • The Product Rule • Rearrangements Without Repetitions • Rearrangements with Repetitions • Selections Without Repetitions • Selections with Repetitions • The Binomial Theorem • Counting Finite Functions • Counting with Arithmetical Functions • Classical Problems • Computer Activities • Useful Combinatorial Commands • The Combinatorics Library • Probability • Introduction • Mathematical Models • Brief History • Sample Spaces & Events • Countable Sample Spaces • Uncountable Sample Spaces • Probability Spaces • Axiom Consequences • Equiprobable Sample Spaces • Geometric Probability • Classical Problems • Computer Activities • Empirical Probability • Conditional Probability • Independence • Conditional Probability • Conditioning • Bayes’ Rule • Classical Problems • Computer Activities • Discrete Random Variables • Histograms & Distribution Functions • Expectation • Variance • Moment-Generating Functions • Bernoulli Random Variables • Binomial Random Variables • Poisson Random Variable • Geometric Random Variables • Negative Binomial Random Variables • Hypergeometric Random Variables • Classical Problems • Computer Activities• Densities • Absolutely Continuous Random Variables • Uniform Continuous Random Variables • Exponential Random Variables.• Normal Random Variables• Classical Problems • Computer Activities • Multiple-Choice Test • Various Sums • Linear Recurrences • First-Order Equations • Second-Order Equations • Standard Normal Distribution • Answers

ISBN: 9781449606046 394pp Hardback 2012

ISE PRICE: $72.00





WIT

H CD ROM

TRIG

ON

OM

ETRY

PRO

BABI

LITY

ENG

INEE

RIN

GM

ATH

SD

ISCR

ETE

MAT

HEM

ATIC

S

9www.jblearning.com

Mathematics

Advanced Engineering Mathematics, 4/e

Dennis G. Zill & Warren S. WrightNow with a full-colour design, the new Fourth Edition of Zill’s Advanced Engineering Mathematics provides an in-depth overview of the many mathematical topics necessary for students planning a career in engineering or the sciences. A key strength of this text is Zill’s emphasis on differential equations as mathematical models, discussing the constructs & pitfalls of each. New modern applications & projects, makes Zill’s classic text a must-have text & resource for Engineering Math students. Key Features: New full-colour design & art program • Nine interesting projects in front of the text • Includes a new section on Green’s functions for ordinary differential equations • Includes new modern projects & applications • Instructor resources include a complete solutions manual & test items. Contents: Ordinary Differential Equations • Introduction to Differential Equations • First-Order Differential Equations • Higher-Order Differential Equations • The Laplace Transform • Series Solutions of Linear Differential Equations • Numerical Solutions of Ordinary Differential Equations • Vectors, Matrices, & Vector Calculus • Systems of Linear Differential Equations • Systems of Nonlinear Differential Equations • Orthogonal Functions & Fourier Series • Boundary-Value Problems in Rectangular Coordinates • Boundary-Value Problems in Other Coordinate Systems • Integral Transform Method • Numerical Solutions of Partial Differential Equations • Functions of a Complex Variable • Integration in the Complex Plane • Series & Residues • Conformal Mappings • Appendices

Discrete Structures, Logic, and

Computability, 3/e

James L. HeinWritten for the prospective computer scientist, computer engineer, or applied mathematician, Discrete Structures, Logic, and Computability, Third Edition provides elementary introductions to those ideas and techniques that are necessary to understand and practice the art and science of computing. The text contains all the topics for discrete structures highlighted in the reports put forth by the IEEE/ACM Joint Task Force on Computing Curricula for both computer science and computer engineering programs. The author supports a spiral method of learning by introducing the basics of a given topic and then revisiting the topic whenever new skills or knowledge about the topic are needed to solve problems. This approach allows students to master key material and maximizes their problem-solving ability. Over 100 new examples have been added. Instructor’s Solutions Manual available. Contents: Elementary Notions and Notations • Facts about Functions • Construction Techniques • Equivalence, Order, and Inductive Proof • Analysis Techniques • Elementary Logic • Predicate Logic • Applied Logic • Computational Logic • Algebraic Structures and Techniques • Regular Languages and Finite Automata • Context-Free Languages and Pushdown Automata • Turing Machines and Equivalent Modes • Computational Notions • Answers to Selected Exercises • References • Greek Alphabet • Symbol Glossary • Index







ENG

INEE

RIN

G M

ATH

SD

ISCR

ETE

MAT

HEM

ATIC

S


Mathematics

Essentials of Discrete Mathematics

David J. HunterEssentials of Discrete Mathematics is the ideal text for a one-term discrete mathematics course to serve computer science majors as well as students from a wide range of other disciplines. The material is organized around five types of mathematical thinking: logical, relational, recursive, quantitative, and analytical. This presentation results in a coherent outline that steadily builds upon mathematical sophistication. Graphs are introduced early and are referred to throughout the text, providing a richer context for examples and applications. Students will encounter algorithms near the end of the text, after they have acquired enough skills and experience to analyze them properly. The final chapter contains in-depth case studies from a variety of fields, including biology, sociology, linguistics, economics, and music. Key Features: One-term focus • Early introduction to graph theory • A range of exercises designed to help students think mathematically • Careful attention to mathematical logic and proof techniques • Coverage of algorithms appropriate for computer science majors, as well as students with no previous programming experience • A wealth of applications, including many applications from areas beyond mathematics and computer science. Contents: Logical Thinking • Relational Thinking • Recursive Thinking • Quantitative Thinking • Analytical Thinking • Thinking Through Applications • Hints, Answers, and Solution to Selected Exercises • Index

Logic, Sets, and Recursion, 2/eRobert L. CauseyThis text teaches students how to construct & write informal, yet difficult, mathematical proofs using basic set theory, recursive definitions, & mathematical induction. Contents: Sentential Calculus • Syntax of the Sentential Calculus • Correspondence to Natural Languages • Semantics of the Sentential Calculus • Some Metatheoretical Concepts • Principles for Sentential Calculus Derivations • Adequacy & Use of Sentential Calculus Derivation Rules • Soundness & Completeness • Strategies for Constructing Proofs • Sentential Calculus Derivation Examples • Conjunctive Normal Form & Resolution Proofs • Basic Set Theory • Sets • Extensionality, Predicates, & Abstraction • Some Special Sets & Set Operations • Relations • General Features • Special Kinds of Relations • Functions • Basic Ideas • Compositions & Inverses • Relational Systems • Recursion & mathematical Induction • The Natural Number System • Introduction • Peano’s Axioms & the Induction Principle • Definition by Recursion • Basic Arithmetic • Some Simple Functions • Additional Arithmetical Definitions • Extensions of Recursive Definition & Induction • Some Additional Applications of the Recursion Theorem • The Well-Ordering of the Natural Numbers • Course of Values Induction • Two Arithmetical Algorithms • Pitfalls of Recursion • Non-Numerical Data • Strings • A Simple Treatment of Lists • Sentential Calculus Expressions • Stacks & Queues • Predicate Calculus • Syntax of the Predicate Calculus • Semantical Aspects of the Predicate Calculus • Interpretations & Truth • Tautologous Sentences in Predicate Calculus • Tautological Consequences in Predicate Calculus • Predicate Calculus Derivations • Derivation Rules • Proof Strategies & Examples • Adequacy of the Predicate Calculus Rules • Application Example • Identity & Function Symbols • Extension of the Syntax • Semantics of Predicate Calculus with Identity & Function Symbols • Derivation Rules for Predicate Calculus with Identity & Function Symbols • Use of Identity in Representing Information • Formalized Theories







DIS

CRET

E M

ATH

EMAT

ICS

AN

ALY

SIS

REA

LA

NA

LYSI

S

11www.jblearning.com

Mathematics

An Introduction to Analysis, 2/e

Gerald G. Bilodeau, Paul R Thie & G. E. KeoughA concise and sharply focused introduction to the basic concepts of analysis-from the development of real numbers through uniform convergences of a sequence of functions-and includes coverage both of the analysis of functions of more than one variable and of differential equations. Contents: The Real Numbers • Sets • Functions • Algebraic and order properties • The positive integers • The least upper bound axiom • Sequences • Sequences and limits • Limit theorems • Monotonic sequences • Sequences defined inductively • Subsequences • Cauchy sequences • Infinite limits • Functions and Continuity • Limit of a function • Limit theorems • Other Limits • Continuity • Intermediate values, extreme values • Uniform continuity • Functions of two variables • The Derivative • Definition of the derivative • Rules for differentiation • The Mean Value Theorem • Inverse functions • Differentiability in R2 • The Integral • The definition of the integral • Properties of the Integral • Existence theory • The Fundamental Theorem of Calculus • Improper integrals • Double integrals • Infinite Series • Basic Theory • Absolute convergence • Power series • Taylor series • Sequences and Series of Functions • Uniform Convergence • Consequences of uniform convergence • Two examples • Introduction to Differential Equations • Elementary first order differential equations • Existence and uniqueness • Power series solutions • Appendix: Solutions and Hints for Selected Problems • List of Symbols

Basic Real Analysis

James S. HowlandProves the basic theorems of Single Variable Calculus in a simple & accessible manner. Contents: Numbers • Real Analysis • The Integers & Mathematical Induction • The Real Numbers • The Axiom of Continuity • Supremum & Infimum • The Archimedean Property • Supplementary Problems • Limits • Sequences • The Limit of a Sequence • Properties of Limits • Infinite Limits • The Monotone Sequence Theorem • The Bolzano-Weierstrass Theorem • Cauchy Sequences • Application to Infinite series • Limits Superior & Inferior • Supplementary Problems • Continuity • Limits of Functions • Limits & Sequences • Continuity • Infinite Limits • One-sided Limits & Monotone Functions • The Intermediate Value Theorem • The Extreme Value Theorem • Supplementary Problems • Derivatives • Rules for Derivatives • Critical Point Theorem • The Mean Value Theorem • *L’ Hospital’s Rule • Supplementary Problems • Integrals • The Reimann Integral • Properties of the Integral • Riemann’s Integrability Condition • Integrability Theorems • Uniform Continuity • Integrability of Continuous Functions • Riemann Sums • The Fundamental Theorem • Substitution & Integration by Parts • Improper Integrals • Supplementary Problems • Infinite series • Convergence • Series of Positive Terms • The Ratio & Root Tests • Absolute & Conditional Convergence • Rearrangement of Series • Uniform Convergence • Limits of Sequences of Functions • Uniform Convergence • Continuity • The Weierstrass M-Test • Integration • Differentiation • Iterated Limits • Supplementary Problems • Power Series • Hadamard’s Formula • Operations on Power Series • Taylor’s Theorem• Supplementary Problems *Further Topics in Series • *Summation by Parts • *The Theorems of Abel and Tauber • *The Integral Form of Taylor’s Theorem • *Kummer’s Test • Appendices



ISBN: 9780763773182 232pp Hardback 2010

ISE PRICE: $52.00



AN

ALY

SIS

REA

L A

NA

LYSI

S


Mathematics

Elements of Real Analysis, 2/e

Charles G. DenlingerA student-friendly guide to learning all the important ideas of elementary real analysis. Contents: The Real Number System • The Field Properties • The Order Properties • Natural Numbers • Rational Numbers • The Archimedean Property • The Completeness Property • *“The” Complete Ordered Field • Sequences • Basic Concepts• Algebra of Limits • Inequalities & Limits • Divergence to Infinity • Monotone Sequences • Subsequences & Cluster Points • Cauchy Sequences • Countable & Uncountable Sets • Upper & Lower Limits • Topology of the Real Number System • Neighborhoods & Open Sets • Closed Sets & Cluster Points • Compact Sets • The Cantor Set • Limits of Functions • Definition of Limit for Functions • Algebra of Limits of Functions • One-Sided Limits • Infinity in Limits • Continuous Functions • Continuity of a Function at a Point • Discontinuities & Monotone Functions • Continuity on Compact Sets & Intervals • Uniform Continuity • Monotonicity, Continuity, & Inverses • Exponentials, Powers, & Logarithms • Sets of Points of Discontinuity (Project) • Differentiable Functions • The Derivative & Differentiability • Rules for Differentiation • Local Extrema & Monotone Functions • Mean-Value Type Theorems • Taylor’s Theorem • *L’HÔpital’s Rule • The Riemann Integral • Refresher on Suprema, Infima, & the Forcing Principle • The Riemann Integral Defined • The Integral as a Limit of Riemann Sums • Basic Existence & Additivity Theorems • Algebraic Properties of the Integral • The Fundamental Theorem of Calculus • Elementary Transcendental Functions • Improper Riemann Integrals • Lebesgue’s Criterion for Riemann Integrability • Infinite Series of Real Numbers • Basic Concepts & Examples • Nonnegative Series • Series with Positive & Negative Terms • The Cauchy Product of Series • Series of Products • Power Series • Analytic Functions • Elementary Transcendental Functions (Project) • Sequences and Series of Functions • Families of Functions & Pointwise Convergence • Uniform Convergence • Implications of Uniform Convergence in Calculus • Two Results of Weierstrass • A Glimpse Beyond the Horizon • Appendices

A First Course in Complex Analysis with

Applications, 2/e

Dennis G. Zill & Patrick D. ShanahanAn introduction to the fundamental principles & applications of complex analysis. Contents: Complex Numbers & the Complex Plane • Complex numbers & their properties • Complex plane • Polar form of complex numbers • Power & roots • Sets of points in the complex plane • Applications • Complex Functions & Mappings • Complex functions • Complex functions as mappings • Linear mappings • Special power functions • Reciprocal function • Limits & continuity • Applications • Analytic Functions • Differentiability & analyticity • Cauchy- Reimann equations • Harmonic functions • Applications • Elementary Functions • Exponential & logarithmic functions • Complex powers • Trigonometric & hyperbolic functions • Inverse trigonometric & hyperbolic functions • Applications • Integration in the Complex Plane • Real integrals • Complex integrals • Cauchy-Goursat Theorem • Independence of Path • Cauchy’s Integral formulas & their consequences • Applications • Series & Residues • Sequences & series • Taylor series • Laurent series • Zeros & poles • Residue & residue theorem • Some consequences of the residue theorem • Applications • Conformal Mappings • Conformal mapping • Linear fractional transformations • Schwartz- Christoffel Transformations • Poisson integral formulas • Applications • Appendices







REA

L A

NA

LYSI

SCO

MPL

EX A

NA

LYSI

S

COM

PLEX

AN

ALY

SIS


Mathematics

Classical Complex Analysis

Liang-shin Hahn & Bernard EpsteinIdeal for an introductory course in complex analysis at the advanced undergraduate or graduate level, this text has been developed over decades of teaching with an enthusiastic student reception. The first half of the book focuses in the core material. An early chapter on power series gives the reader concrete examples of analytic functions and a review of calculus. Mödius transformations are presented with emphasis on the geometric aspect and the Cauchy theorem is covered in the classical manner. The remaining chapters provide an elegant and solid overview of special topics such as Entire and Meromorphic Function, Analytic Continuation, Normal families, Conformal Mapping, and Harmonic Functions.

Contents: Complex Numbers • Power Series • Analytic Functions • The Cauchy Theorem • Singularities and Residues • The Maximum Modulus Principle • Entire and Meromorphic Functions • Analytic Continuation • Normal Families • Conformal Mapping • Harmonic Functions • The Picard Theorems • Appendix: Unsolved Problems • Index

Complex Analysis for Mathematics and

Engineering, 6/e

John H. Mathews & Russell W. HowellIntended for the undergraduate student majoring in mathematics, physics or engineering, the Sixth Edition of Complex Analysis for Mathematics & Engineering continues to provide a comprehensive, student-friendly presentation of this interesting area of mathematics. Key Features: New material on the origin of complex numbers • New exercises help students work through and understand key concepts • The essential details of residues and conformal mappings are included • A chapter on z-transforms illustrates the area of digital signal filtering • Applications include steady state temperatures, fluid flow, and electrostatics • Fourier series are used to solve the Dirichlet problem in the unit disk • Solutions to the odd-numbered problems are included as an appendix • Additional exercises using Maple and Mathematica are available online.

Contents: Complex Numbers • Complex Functions • Analytic and Harmonic Functions • Sequences, Julia and Mandelbrot Sets, and Power Series • Elementary Functions • Complex Integration • Taylor and Laurent Series • Residue Theory • z-Transforms and Applications • Conformal Mapping • Applications of Harmonic Functions • Fourier Series and the Laplace Transform • Answers •Index




ISE PRICE: $71.00



COM

PLEX

AN

ALY

SIS


Mathematics

Mathematical Modeling for the Scientifi c

Method

David W. Pravica & Michael J SpurrMathematical Modeling for the Scientific Method is intended for the sophomore/junior-level student seeking to be well-grounded in mathematical modeling for their studies in biology, the physical sciences, engineering, and/or medicine. It clarifies the connection between deductive and inductive reasoning as used in Mathematics and Science and urges students to think critically about concepts and applications. The authors’ goal is to be introductory in level while covering a broad range of techniques. They unite topics in statistics, linear algebra, calculus and differential equations, while discussing how these subjects are interrelated and utilized. Mathematical Modeling for the Scientific Method leaves students with a clearer perspective of the role of mathematics within the sciences and the understanding of how to rationally work through even rigorous applications with ease.

Contents: Part 1: Foundations • Review of Algebra • Functions and Relations • Statistics • Part 2: Multidimensionality • Linear Algebra and Matrices • Calculus • Vector Calculus and Differential Equations • Part 3: Applications • Mathematical Modeling • The Scientific Method • References • Glossary • Index

Mathematical Modeling with Excel®

Brian AlbrightMathematical modeling is the practice of applying mathematics to real-world problems and investigating important questions about their outcomes. Mathematical Modeling with Excel presents the various methods used to build and analyze mathematical models in a format that students can quickly comprehend. Excel is used as a tool to accomplish this goal of building and analyzing the models. Contents: What is Mathematical Modeling? • Definitions • Purpose • The Process • Assumptions • Proportionality & Geometric Similarity • Using Data • Modeling with Proportionality • Fitting Straight Lines Analytically • Geometric Similarity • Empirical Modeling • Linearizable Models • Coefficient of Determination • Polynomials • Multiple Regression • Spline Models • Discrete Dynamical Systems • Long Term Behavior & Equilibria • Growth of a Bacteria Population • A Linear Predator-Prey Model • A Non-linear Predator-Prey Model • Epidemics • Differential Equations • Euler’s Method • Quadratic Population Model • Volterra’s Principle • Lancester Combat Models • Eigenvalues • Simulation Modeling • Basic Examples • The Birthday Problem • Random Number Generators • Modeling Random Variables • Approximating Density Functions • A Theoretical Queuing Model • A Coffee Shop Queuing Model • A Scheduling Model • An Inventory Model • Optimization • Linear Programming • The Transportation Problem • The Assignment Problem & Binary Constraints • Solving Linear Programs • The Simplex Method • Sensitivity Analysis • The Gradient Method • Spreadsheet Basics • Basic Terminology • Entering Text, Data & Formulas • Creating Charts & Graphs • Array Formulas • Built-In Functions • Index

ISBN: 9780763779467 492pp Hardback 2012

ISE PRICE: $66.00





MAT

HEM

ATIC

AL

MO

DEL

ING

GEO

MET

RY


Mathematics

A Gateway to Modern Geometry, 2/e

The Poincare Half-Plane

Saul StahlStahl’s Second Edition continues to provide students with the elementary and constructive development of modern geometry that brings them closer to current geometric research. At the same time, repeated use is made of high school geometry, algebra, trigonometry, and calculus, thus reinforcing the students’ understanding of these disciplines as well as enhancing their perception of mathematics as a unified endeavor. This distinct approach makes these advanced geometry principles accessible to undergraduates and graduates alike.

Contents: Euclidean Geometry • Euclidean Rigid Motions • Inversions • The Hyperbolic Plane • Euclidean Versus Hyperbolic Triangle • The Angles of the Hyperbolic Triangle • Hyperbolic Area • The Trigonometry of the Hyperbolic Triangle • Complex Numbers and Rigid Motions • Absolute Geometry and the Angles of the Triangle • Spherical Trigonometry and Elliptic Geometry • Differential Geometry and Gaussian Curvature • The Cross-Ration and the Unit Disk Model • The Beltrami-Klein Model • A Brief History of Non-Euclidean Geometry • Spheres and Horospheres • Appendix A Proofs of Some of Euclid’s Propositions • Appendix B Formulas for Hyperbolic Trigonometric Functions • Sources, References and Suggested Readings • Index

Geometry with an Introduction to Cosmic

Topology

Michael P. HitchmanIt focuses on the mathematical tools used to investigate the shape of the universe. The text follows the Erlangen Program, which develops geometry in terms of a space and a group of transformations of that space.

Contents: An Invitation to Geometry • A Brief History of Geometry • Geometry on Surfaces: A First Look • The Plane & Complex Numbers • Basic Notions • Polar Form of a Complex Number • Division of Complex Numbers • Complex Expressions • Transformations • Basic Transformations of C • Inversion • The Extended Plane • MÖbius Transformations: A Closer Look • Geometry • The Basics • MÖbius Geometry • Hyperbolic Geometry • The Hyperbolic Transformation Group • Figures of Hyperbolic Geometry • Measurement in Hyperbolic Geometry • Area & Triangle Trigonometry • The Upper Half-Plane Model • Elliptic Geometry • Antipodal Points • Elliptic Geometry • Measurement in Elliptic Geometry • Revisiting Euclid’s Postulates • Geometry on Surfaces • Curvature • Elliptic Geometry with Curvature k>0 • Hyperbolic Geometry with Curvature k<0 • Observing Curvature in a Universe • Surfaces • Geometry of Surfaces • Quotient Spaces • Cosmic Topology • Three-Dimensional Geometry & 3-manifolds • Cosmic Crystallography • Circles in the Sky • Final Remarks • Bibliography • Index

ISBN: 9780763753818 256pp Hardback 2008

ISE PRICE: $74.00

ISBN: 9780763754570 238pp Hardback 2009

ISE PRICE: $63.00



GEO

MET

RY


Mathematics

Foundations of Topology, 2/e

C. Wayne PattyTopology is a branch of pure mathematics that considers the abstract relationships found within geometry & analysis. It provides a user-friendly, clear, and concise introduction to this fascinating area of mathematics. Contents: Topological Spaces • Metric Spaces • Topological Spaces: The Definition & Examples • Basis for a Topology • Closed Sets, Closures & Interiors of Sets • Metric Spaces Revisited • Convergence • Continuous Functions & Homeomorphisms • New Spaces from Old Ones • Subspaces • The Product Topology on X x Y • The Product Topology • The Weak Topology & the Product Topology • The Uniform Metric • Quotient Spaces • Connectedness • Connected Spaces • Pathwise & Local Connectedness • Totally Disconnected Spaces • Compactness • Compactness in Metric Spaces • Compact Spaces • Local Compactness & the Relation Between Various Forms of Compactness • The Separation & Countability Axioms • To’, T 1’ & T2’ Spaces • Regular & Completely Regular Spaces • Normal & Completely Normal Spaces • The Countability Axioms • Urysohn’s Lemma & the Tietze Extension Theorem • Embeddings • Special Topics • Contraction Mappings in Metric Spaces • Normal Linear Spaces • The Frechet Derivative • Manifolds • Fractals • Compactification • The Alexander Subbase & the Tychonoff Theorems • Metrizability & Paracompactness • Urysohn’s Metrization Theorem • Paracompactness • The Nagata-Smirnov Metrization Theorem • The Fundamental Group & Covering Spaces • Homotopy of Paths • The Fundamental Group • The Fundamental Group of the Circle • Covering Spaces • Applications & Additional Examples of Fundamental groups • Applications of Homotopy • Inessential Maps • The Fundamental Theorem of Algebra • Homotopic Maps • The Jordan Curve Theorem • Appendices

Euclidean and Transformational GeometryShlomo LibeskindProvides a complete & solid presentation of Euclidean geometry with an emphasis on how to solve challenging problems. The author examines various strategies & heuristics for approaching proofs & discusses the process students should follow to determine how to proceed from one step to the next, through numerous problem solving techniques. Contents: The Treasure Island Problem • The Nine-Point Circle • Morley’s Theorem • The Hiker’s Path • The Shortest Highway • Steiner’s Minimum Distance Problem • The Pythagorean Theorem • Congruence, Constructions, & the Parallel Postulate • Angles & Their Measurement • Congruences of Triangles • The Parallel Postulate & Its Consequences • More on Construction • Circles • Basic Properties of Arcs, Central & Inscribed Angles • Circles Inscribed in Polygons • More on Constructions • Area & the Pythagorean Theorem • Areas of Polygons • The Pythagorean Theorem • The Distance Formula • Similarity • Ratio, Proportion & Similar Polygons • Further Applications of the Side Splitting Theorem & Similarity • Areas of Similar Figures • The Golden Ratio & the Construction of a Regular Pentagon • Circumference & Area of a Circle • Other Recursive Formulas for Evaluating p • Trigonometric Functions • Isometries • Reflections, Translations, & Rotations • Congruence & Euclidean Constructions • More on Extremal Problems • Similarity Transformation with Applications to Constructions • Composition of Transformations & Transformation Groups • In Search for New Isometries • Composition of Rotations, The Treasure Island Problems & Other Treasures • More Recent Discoveries • The Nine-Point Circle & Other Results • Complex Numbers & Geometry • Appendix: Basic Notions • References • Index




ISE PRICE: $71.00



GEO

MET

RY

AD

VAN

CED

MAT

HS


Mathematics

A Journey Into Partial Diff erential Equations

William O BrayIdeal for the 1-term course, A Journey into Partial Differential Equations provides a solid introduction to PDEs for the undergraduate math, engineering, or physics student. Discussing underlying physics, concepts and methodologies, the text focuses on the classical trinity of equations: the wave equation, heat/diffusion equation, and Laplace’s equation. Bray provides careful treatment of the separation of variables and the Fourier method, motivated by the geometrical notion of symmetries and places emphasis on both the qualitative and quantitative methods, as well as geometrical perspectives. With hundred of exercises and a wealth of figures, A Journey into Partial Differential Equations proves to be the model book for the PDE course. Key Features: Contains over 200 exercises and a wealth of figures for graphic illustration • Analytical methodologies and geometric perspectives are emphasized throughout • Offers an early introduction to distributions/generalized functions and their use throughout the text • Mathematica notebook files are available on the text’s Website • A complete Instructor’s Solutions Manual is available to qualified instructors. Contents: Unfolding Ideas via Examples • First Order Linear PDE • The Classical Trinity Revisited • An Introduction to Distributions • Fourier Expansions • Diffusion & Waves with Boundaries • Laplace’s Equation • Fourier Expansions on a Sphere • Appendices • Bibliography • Index

An Elementary Course in Partial Diff erential

Equations, 2/e

T. AmaranathIt is a concise, 1-term introduction to partial differential equations for the upper-level undergraduate/graduate course in Mathematics, Engineering & Science. Divided into two accessible parts, the first half of the text presents first-order differential equations while the later half is devoted to the study of second-order partial differential equations. Numerous applications & exercises throughout allow students to test themselves on key material discussed. Key Features: Provides core material necessary for the 1-term course without overwhelming students • Exercises & applications allow students to work through material presented in the text. Contents: First Order Partial Differential Equations • Curves & Surfaces • Genesis of First Order PDE • Classification of Integrals • Linear Equations of the First Order • Pfaffian Differential Equations • Compatible Systems of First Order PDE • Charpit’s Method • Jacobi’s Method • Integral Surfaces Through a Given Curve • Quasi-Linear Equations • Non-Linear First Order PDE • Second Order Partial Differential Equations • Genesis of Second Order PDE • Classification of Second Order PDE • One Dimensional Wave Equation • Laplace’s Equation • Heat Conduction Problem • Duhamel’s Principle • Classification in the Case of n-Variables • Families of Equipotential Surfaces • Kelvin's Inversion Theorem • Appendix A: Fourier Transforms & Integrals • Appendix B: Additional Problems • Suggested Reading • Index

ISBN: 9780763762445 156pp Hardback 2009

ISE PRICE: $42.00



AD

VAN

CED

MAT

HS

ISBN: 9780763772567 316pp Hardback 2012

ISE PRICE: $74.00


Mathematics

Association Schemes of Matrices

Yangxian Wang, Changli Ma & Yuanji HoAssociation Schemes of Matrices is an 8- chapter monograph that has met with wide success throughout the Chinese mathematics community. The main emphasis of this book is on the association schemes of various types of matrices. The matrix method here is elementary and requires little mathematical background. An undergraduate student who has completed a course in linear algebra and abstract algebra will be able to take on a research project on matrix groups and their geometries with the matrix techniques that are presented by the mathematicians that have contributed to this project. The matrix method has proven to be effective when the underlying field has fewer elements or in lower dimensions.

Contents: Basic Theory of Association Schemes • Association Schemes of Rectangular Matrices • Association Schemes of Alternate Matrices • Association Schemes of Hermitian Matrices • Association Schemes of Symmetric Matrices in Odd Characteristic • Association Schemes of Symmetric Matrices in Even Characteristic • Association Schemes of Quadratic Forms in Even Characteristic • The Eigenvalues of Association Schemes of Quadratic Forms

Numerical Methods with VBA ProgrammingJames HiestandIt provides a unique and unified treatment of numerical methods and VBA computer programming, topics that naturally support one another within the study of engineering and science. This engaging text incorporates real-world scenarios to motivate technical material, helping students understand and retain difficult and key concepts. Such examples include comparing a two-point boundary value problem to determining when you should leave for the airport to catch a scheduled flight. Numerical examples are accompanied by closed-form solutions to demonstrate their correctness. Within the programming sections, tips are included that go beyond language basics to make programming more accessible for students. A unique section suggest ways in which the starting values for non-linear equations may be estimated. Flow charts for many of the numerical techniques discussed provide general guidance to students without revealing all of the details. Useful appendices provide summaries of Excel and VBA commands, Excel functions accessible in VBA, basics of differentiation, and more!

Contents: Introduction • Programming Basics: Arithmetic, Input/Output, and All That • Errors, Series, and Uncertainty • Decisions and Loops: Which is Bigger? How Many Times? • Numerical Integration • Subprograms and Functions: Useful Specialists • Roots of Non-linear Equations: Finding Zero • Ordinary Differential Equations: Take One Step Forward • Sets of Linear Equations • Arrays, Variables with a Family Name • Curve Fitting • Elliptic Partial Differential Equations • Appendices



AD

VAN

CED

MAT

HS


ISE PRICE: $49.00

ISBN: 9780763785055 320pp Hardback 2012

ISE PRICE: $63.00

AD

VAN

CED

MAT

HS


Mathematics

3D Math Primer for Graphics and Game

Development

Fletcher Dunn & Ian Parberry Covers fundamental 3D math concepts that are especially useful for computer game developers & programmers. The authors discuss the mathematical theory in detail & then provide the geometric interpretation necessary to make 3D math intuitive. Working C++ classes illustrate how to put the techniques into practice, & exercises at the end of each chapter help reinforce the concepts. This book explains basic concepts such as vectors, coordinate spaces, matrices, transformations, Euler angles, homogenous coordinates, geometric primitives, intersection tests, & triangle meshes • Discusses orientation in 3D, including thorough coverage of quaternions & a comparison of the advantages & disadvantages of different representation techniques • Describes working C++ classes for mathematical & geometric entities & several different matrix classes, each tailored to specific geometric tasks • Includes complete derivations for all the primitive transformation matrices. Contents: Introduction • Cartesian Coordinate Systems • Vectors • Polar Coordinate Systems • Multiple Coordinate Spaces • Operations on Vectors • Introduction to Matrices • Matrices & Linear Transformations • More on Matrices • Orientation & Angular Displacement in 3D • Control Systems for Games • Geometric Primitives • Geometric Tests • Mathematical Topics From 3D Graphics • Curves in 3D • Splines • Answers to the Exercises • Index

Clinical Statistics

Olga KorostelevaProvides the mathematical background necessary for students preparing for a career as a statistician in the biomedical field. The manual explains the steps a clinical statistician must take in clinical trials from protocol writing to subject randomization, to data monitoring, & on to writing a final report to the FDA. Contents: Conducting Clinical Trails • Basic Concepts • Phases of Clinical Trials • Clinical Trials Management • Preparation of Protocols • Implementation of Statistics in Clinical Trials • Determination of Trial Length • Interim Data Monitoring • Randomization of Group Assignments • Data Reporting • Exercises • Introduction to Survival Analysis • Basic Definitions • Estimation of Survival Function by the Kaplan-Meier Method • Definition of the Kaplan-Meier Estimator • Derivation of the Kaplan-Meier Estimator • The Kaplan-Meier Survival Curve • Comparison of Two Survival Functions: Log-Rank Test • Estimation of the Survival Function by the Actuarial Method • Parametric Estimation of the Survival Function • Regression Model for Survival Time Distribution • Exponential Regression Model • Weibull Regression Model • Model Fit Evaluation • Data Examples • Cox Proportional Hazards Model • Standard Definition • Estimation of Regression Coefficients • Interpretation of Regression Coefficients • Alternative Form of the Cox Model • Exercises • Introduction to Longitudinal Data Analysis • Basic Definitions • Graphical Presentation • Random Intercept Model • Random Slope & Intercept Model • Model with Spatial Power Covariance Structure for Error • Random Intercept Logistic Regression Model • Handling Missing Observations • Index


ISE PRICE: $35.00



AD

VAN

CED

MAT

HS


ISE PRICE: $40.00

STAT

ISTI

CS


Mathematics

BOSTON TORONTO LONDON SINGAPORE NEW DELHI

B-1, 4262/3 Ansari Road, Daryaganj, New Delhi 110002Tel: +91 11 43613900, 43613901, 23258325, Fax: +91 11 23280359

Email: [email protected] Website: www.jblearning.com

Buy the books from your nearest bookseller. In case of any diffi culty please contact our distributor:

*Prices are subject to change without prior notice.

Documents

Maths Titles J&B