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070101 ....................................................................................... 1 070101 ......................................................................................................... 14 070101a ................................................................................... 21 070102 ..................................................................................... 33 070102a ................................................................................... 38 070104 ..................................................................................... 43 070104 ......................................................................................................... 49 070105018 .................................................................... 53

............................................................................................................................. 59 070201 ..................................................................................... 59 070201 ......................................................................................................... 66 070205019 ........................................................................... 73 070205019 ............................................................................................... 80 070205019a.......................................................................... 87 070207019 ...................................................................................... 95 070207019 .......................................................................................................... 99 070207019a .................................................................................. 105

................................................................................................................. 111 070202 .................................................................................. 111 070202a ............................................................. 114 070203 ......................................................................... 118 070203 ............................................................................................ 122 070203a ...................................................................... 126

............................................................................................................................... 130 070301022 ............................................................................. 130 070301022 ................................................................................................. 134 070301022a ........................................................................... 138 070302 ................................................................................... 143 070302 ....................................................................................................... 147 070302a ................................................................................. 151 070303022 ............................................................................. 155 070303022 ................................................................................................. 159 070303022a ........................................................................... 163 070304022 ............................................................................. 167 070304022 ................................................................................................. 172 070304022a ........................................................................... 176 0703Z1 ............................................................................... 180

1

2

0703Z1 ................................................................................................... 184 .......................................................................................................... 188

081202 ..................................................................... 188 081202 ........................................................................................ 195 081202a ................................................................... 199 081203 ........................................................................ 204 081203 ............................................................................................. 211 0812Z1 ...................................................................................................... 215 083500 ................................................................................... 219 083500 ....................................................................................................... 227 083500a ................................................................................. 232 085271a ............................................................. 238 085271b ..................................................................... 241

........................................................................................................................ 244 080103 ................................................................................... 244 080103 ....................................................................................................... 251

........................................................................................................................ 258 080501 ........................................................................ 258 080501 ............................................................................................ 264 080501a ...................................................................... 269 080502 ....................................................................................... 278 080502 .......................................................................................................... 283 080502a ..................................................................................... 287 080901030 ............................................................................................. 293 080901030a........................................................................ 296

.................................................................................................................... 301 070305044 ............................................................... 301 070305044 .................................................................................. 305 070305044a ............................................................. 310

.................................................................................................................... 314 071001 .......................................................................................................... 314 071005 ................................................................................... 317 071005 ....................................................................................................... 320 071005a ................................................................................. 323 071006070 ......................................................................... 326 071006070 ............................................................................................. 329 071006070a........................................................................ 332 071007070 ................................................................................. 335 071007070 .................................................................................................... 339 071007070a ............................................................................... 342 071008070 ............................................................................................. 346

2

3

071010070 ........................................................ 349 071010070 ........................................................................... 352 071010070a ...................................................... 355 071011 ................................................................................ 358 071011 ................................................................................................... 361 0710Z1 ............................................................................... 364 0710Z1 ................................................................................................... 367 0710Z2 ................................................................................................... 370 071300 ....................................................................................... 373 071300 .......................................................................................................... 376 071300a ..................................................................................... 379 0714Z1 .................................................................................................... 382 0714Z1a ............................................................................. 385 085200023a........................................................................ 388 085200070b ....................................................... 391

.......................................................................................................... 394 070207072 ........................................................................................................ 394 070207072a .................................................................................. 398 080300 ................................................................................... 403 080300 ....................................................................................................... 407 080300a .................................................................................. 411 080901072 ......................................................................... 415 080901072 ............................................................................................. 420 080901072a........................................................................ 424 080902 ............................................................................... 428 080902 ................................................................................................... 434 080903 .............................................................. 438 080903 ................................................................................. 445 080904 ..................................................................... 450 080904 ........................................................................................ 454 083100072 ...................................................................... 457 083100072 .......................................................................................... 462 085200072e .............................. 465

............................................................................................................. 468 083001 ....................................................................................................... 468 083001a ............................................................................. 473 083002 ................................................................................... 476 083002 ....................................................................................................... 484 083002a ............................................................................. 491 083002b ................................................................................. 496 1204Z1 ...................................................................................................... 503

3

4

.................................................................................................................... 507 070101 ................................................................................... 507 070102 ................................................................................... 520 070103018 ............................................................... 525 070104 ................................................................................... 531

........................................................................................................................ 537 080903 .............................................................. 537 080903 ................................................................................. 544 080903a ............................................................ 549 085200072d ........................... 556

................................................................................................................. 559 070301301 ............................................................................. 559 070301301 ................................................................................................. 576 070303301 ................................................................................................. 584 070303022a ........................................................................... 588 070304301 ................................................................................................. 592 070304022a ........................................................................... 596 070305301 ............................................................... 600 070305301 .................................................................................. 604 080501 ........................................................................ 608 080501 ............................................................................................ 614 080501a ...................................................................... 619

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1 Introduction to Complex Conformal Invariants Ahffors

2 Partial Differential Equations Lawsence C. Evans 3 Homological Algebra J. J. RotmanC. Weible

11

12

4 Commutative Algebra H. Matsumura 5 6 7 8 9 Soliton Theory and Its Applications 10 Theory of Functional Differential Equations J. K. Hale 11 Devaney () 12 Annals. Acad. Sci. Fenn 13 Journal of Geom. Analysis 14 J. of Functional Analysis 15 J. of Differential Geometry 16 Comm. In Algebra 17 Algebra Colloquium 18 Integral Equations and Operator Theory 19 20 Analysis of Several Variables Homander 21 A Course in Functional Analysis J. B. Conway 22 23

Introduction to the Theory of Linear Partial Differential Equation

J. Chzarain & A. Pirion

24 Hamiltonian Approach in the Theory of Solitons

N. L. A. Tskhtajan & L. D. Fadd

25 Elements de Geometrie Algebrique Grothendieck & J. Diendonne 26 Algebraic Geometry R. Hartshorne 27 Basic Algebra (,) N. Jacobson 28 R. Kress 29 30 Probability Theory and Related Fields 31 Operator Theory 32 K-Theory 33 J. of Differential Equations 34 Comm. On Pure and Applied Math 35 Annals of Mathematics 36

Transactions of American Mathematical Society

37 Mathematische Annalen 38 Invention Math. 39 Comm. In Math. Physics 40 J. Math. Physics 41 J. of AMS 42 J. of Algebra 43 J. of Pure and Applied Algebra 44 Inverse Problems 45 Physics A. D. 46 International J. of Bifurcation and Chaos 47 48 49 --- 50 AB 51 52 53 Continuous Martingales and Brownian Motion D. Reuuz & M. Yor 54 Probability Theory Y. S. Chow & H. Teisher 55 C*-Algebras and Their Automorphism Groups G. K. Pedersen

12

13

56 Foundations of Differential Geometry S. Kobayasbi & K. Nomigu 57

A comprehensive Introduction to Differential geometry

M. Spivak 58 Large Scale Structure of Space-Time O. W. Hawking & G. F. R. Eills 59 Comm. In Partial Differential Equations

13

14

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2 Partial Differential Equations Lawsence C. Evans 3 Homological Algebra J. J. RotmanC. Weible 4 Commutative Algebra H. Matsumura 5 6 7 8 9 Soliton Theory and Its Applications 10 Theory of Functional Differential Equations J. K. Hale 11 Devaney () 12 Annals. Acad. Sci. Fenn 13 Journal of Geom. Analysis 14 J. of Functional Analysis 15 J. of Differential Geometry 16 Comm. In Algebra 17 Algebra Colloquium 18 Integral Equations and Operator Theory 19 20 Analysis of Several Variables Homander 21 A Course in Functional Analysis J. B. Conway 22 23





25 Elements de Geometrie Algebrique Grothendieck & J. Diendonne 26 Algebraic Geometry R. Hartshorne 27 Basic Algebra (,) N. Jacobson 28 R. Kress 29 30 Probability Theory and Related Fields 31 Operator Theory 32 K-Theory 33 J. of Differential Equations 34 Comm. On Pure and Applied Math

19

20

35 Annals of Mathematics 36


37 Mathematische Annalen 38 Invention Math. 39 Comm. In Math. Physics 40 J. Math. Physics 41 J. of AMS 42 J. of Algebra 43 J. of Pure and Applied Algebra 44 Inverse Problems 45 Physics A. D. 46 International J. of Bifurcation and Chaos 47 48 49 --- 50 AB 51 52 53 Continuous Martingales and Brownian Motion D. Reuuz & M. Yor 54 Probability Theory Y. S. Chow & H. Teisher 55 C*-Algebras and Their Automorphism Groups G. K. Pedersen 56 Foundations of Differential Geometry S. Kobayasbi & K. Nomigu 57


M. Spivak

58 Large Scale Structure of Space-Time O. W. Hawking & G. F. R. Eills 59 Comm. In Partial Differential Equations

20

21

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1 Basic Algebra (,) N. Jacobson 2 R. Kress 3 4 Probability Theory and Related Fields 5 Operator Theory 6 K-Theory 7 J. of AMS 8 J. of Algebra 9 J. of Pure and Applied Algebra 10 Inverse Problems 11 Physics A. D. 12 International J. of Bifurcation and Chaos 13 J. of Differential Equations 14 Comm. On Pure and Applied Math 15 Annals of Mathematics 16


17 Mathematische Annalen 18 Invention Math. 19 Comm. In Math. Physics 20 J. Math. Physics

31

32


22 Partial Differential Equations Lawsence C. Evans 23 Homological Algebra J. J. RotmanC. Weible 24 Commutative Algebra H. Matsumura 25 26 27 28 29 Soliton Theory and Its Applications 30 Theory of Functional Differential Equations J. K. Hale 31 Devaney () 32 Annals. Acad. Sci. Fenn 33 Journal of Geom. Analysis 34 J. of Functional Analysis 35 J. of Differential Geometry 36 Comm. In Algebra 37 Algebra Colloquium 38 Integral Equations and Operator Theory 39 40 Analysis of Several Variables Homander 41 A Course in Functional Analysis J. B. Conway 42 43





45 Elements de Geometrie Algebrique Grothendieck & J. Diendonne 46 Algebraic Geometry R. Hartshorne 47 48 49 --- 50 AB 51 52 53 Continuous Martingales and Brownian Motion D. Reuuz & M. Yor 54 Probability Theory Y. S. Chow & H. Teisher 55 C*-Algebras and Their Automorphism Groups G. K. Pedersen 56 Foundations of Differential Geometry S. Kobayasbi & K. Nomigu 57


M. Spivak

58 Large Scale Structure of Space-Time O. W. Hawking & G. F. R. Eills 59 Comm. In Partial Differential Equations

32

33

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1 Matrix Computations

Gene H. Golub & Charles F.Van Loan

2 3 4 Iteration Methods O. Axelsson 5

Interior point algorithms: Theory and Analysis

Ye, Yinyu 6 7 The Symmetric Eigenvalue Problem Beresford N. Parlatt 8 9 Multigrid Methods J. H. Bramble 10 Convex Analysis R.T. Rochafellar 11 FredholmTikhonov C. W. Groetrch 12

Inverse Problems for Partial Differential Equations

V. Isakov

36

37

13 Inverse Problems 14 15 SIAM Science Computation 16 SIAM Numerical Mathematics 17 SIAM Journal on Control and Optimization 18 SIAM Journal on Optimization 19 Applied Numerical Mathematics 20 IMA J. of Numerical Mathematics 21 Numerische Mathematik 22 Computational Mathematics 23 BIT 24 Applied Mathematics Computation 25 Numerical Linear Algebra with Application 26 Numerical Algorithm 27 Inter. J. Computation Appl. Math. 28

Journal of Mathematical Analysis and Applications

29 Journal of Optimization Theory and Applications

30 P. G. 31 Iteration Methods of Linear Equations Y. Saad 32 Sobolev Space R. A. Adams 33

The Finite Element Method for Elliptic Problems

P. G. Ciarlet

34 The Mathematical Theory of Finite Element Method

S. C. Brenner &L. R. Scott 35 Multigrid Methods and Applications W. Hackbush 36 Mixed and Hybrid Finite Element Methods F. Brezzi 37 Tikhonov 38 Nonlinear Analysis 39

Numerical Mathematics-A J. of Chinese Universities

40 J. of Computational Mathematics 41 42 43 Linear Algebra and Applications 44 Mathematical Programming 45 SIAM Matrix Analysis and Applications

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1 Matrix Computations

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2 3 4 Iteration Methods O. Axelsson 5

Interior point algorithms: Theory and Analysis

Ye, Yinyu 6 7 The Symmetric Eigenvalue Problem Beresford N. Parlatt 8 9 Multigrid Methods J. H. Bramble 10 Convex Analysis R.T. Rochafellar 11 FredholmTikhonov C. W. Groetrch 12

Inverse Problems for Partial Differential Equations

V. Isakov 13 Inverse Problems 14 15 SIAM Science Computation 16 SIAM Numerical Mathematics

41

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17 SIAM Journal on Control and Optimization 18 SIAM Journal on Optimization 19 Applied Numerical Mathematics 20 IMA J. of Numerical Mathematics 21 Numerische Mathematik 22 Computational Mathematics 23 BIT 24 Applied Mathematics Computation 25 Numerical Linear Algebra with Application 26 Numerical Algorithm 27 Inter. J. Computation Appl. Math. 28

Journal of Mathematical Analysis and Applications

29 Journal of Optimization Theory and Applications

30 P. G. 31 Iteration Methods of Linear Equations Y. Saad 32 Sobolev Space R. A. Adams 33

The Finite Element Method for Elliptic Problems

P. G. Ciarlet

34 The Mathematical Theory of Finite Element Method

S. C. Brenner &L. R. Scott 35 Multigrid Methods and Applications W. Hackbush 36 Mixed and Hybrid Finite Element Methods F. Brezzi 37 Tikhonov 38 Nonlinear Analysis 39

Numerical Mathematics-A J. of Chinese Universities

40 J. of Computational Mathematics 41 42 43 Linear Algebra and Applications 44 Mathematical Programming 45 SIAM Matrix Analysis and Applications

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Boundary Value Problems for Quasilinear Hyperbolic Systems

5 Boundary Value Problem with Equivalued Surface

6 Circuit System and Signal Processing 7 Int. J. of Bifurcation and Chaos 8 Nonlinearity 9 10 11

12 Nonlinear parabolic equations and hyperbolic-parabolic coupled systems

13 CAGD J. L. Lions 14 Computaion Geometry 15 Comm. Pur. Appl. 16 Comm. P. D. E. 17 Euro. J. of Appl. Math. 18 Surv. Math. Ind. 19 IEEE Transactions on Neural Networks 20 IEEE Transactions on Signal Processing 21 Signal Processing 22 Chaos 23 24 25 --- 26 AB 27 28 SIAM Journals ... 29 Journal of Differential Equations 30 Physica A, D

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5 Boundary Value Problem with Equivalued Surface

6 Circuit System and Signal Processing 7 Int. J. of Bifurcation and Chaos 8 Nonlinearity 9 10 11

12 Nonlinear parabolic equations and hyperbolic-parabolic coupled systems

13 CAGD J. L. Lions 14 Computaion Geometry 15 Comm. Pur. Appl. 16 Comm. P. D. E. 17 Euro. J. of Appl. Math. 18 Surv. Math. Ind. 19 IEEE Transactions on Neural Networks 20 IEEE Transactions on Signal Processing 21 Signal Processing 22 Chaos 23 24 25 --- 26 AB 27 28 Journal of Differential Equations 29 SIAM Journals ... 30 Physica A, D 31 Physical Review ...

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3 Optimal Control Theory for Infinite Dimensional Systems

Xunjing Li & Jiongmin Yong Birkhaeuser 1994

4 Stochastic Controls: Hamiltonian systems and HJB equations

Jiongmin Yong & Xunyu Zhou Springer 1999

5 Controlled Markov Processes and Viscosity Solutions

W. H. Fleming & H. M. Soner Springer 1993

6 Methods of Mathematical Finance I. Karatzas & S. Shreve Springer 1998

7 Mathematics of Financial Markets R.J. Elliott & K. P. Ekkehard Springer 1999

8 Introduction to Mathematical Finance:Discrete Time Models

S. R. Pliska Blackwell 1997

9 Continuous-time finance Robert C. Merton Blackwell 1999

10 Linear optimization D.Bertsimas,etd 11 Nonlinear programming D.Bertsimas,etd 12 Convex analysis R.T.Rockafellar 13

Introduction to Stochastic dynamic programming

S.Ross

14 Geometric algorithms and combinatorial optimization

M.Grotschel, etc 15 Set-Value Analysis J.P.Aubin, etc. 16 Optimization and Non-smooth Analysis F.H.Clarck 17 Variational Analysis R.T.Rockefeller 18 Mathematical method of classical mechanics

V.I. Arnold

19 Geometrical Methods for ordinary differential equations

V.I. Arnold

20 1990

21 2000.4

22 Theory of Funtional Differential Equations Springer-Verlag1997J.K.Hale

23 Mathematical programming Springer 24 SIAM Review SIAM 25 SIAM J. Control & Optim. SIAM 26 SIAM Math. Anal. SIAM 27 Appl. Math. & Optim. 28 J. Optim. Theory & Appl. Plenum Publishing 29 Inter. J. Control 30 SIAM J. Optim. SIAM 31 Diff. Eqs. 32 IEEE Transaction AC 33 Systems and Control Letter 34 Automatica 35 Ann. Probability 36 Probability Theory and Related Fields 37 Ann. Applied Probability

57

58

38 Stochastic Processes and Their Applications 39 Mathematical Finance 40 Finance and Stochastics 41 Econometrica 42 J. Finance 43 J. Mathematical Economics 44 J. Economic Theory 45 Operations Research INFORMS 46 Operations Research Letters Elsevier B.V. 47 Mathematics of Operations research INFORMS 48 Management Science INFORMS 49 50 51 AB 52 53 AB 54 AB 55 56 57 Journal of Control Theory and Applications

58 59 60 61 Journal of Differential Equations 62 Chaos 63 International Journal of Bifurcation & Chaos 64 Chaos,Solitons & Fractals 65 Physica D 66 Neural Network 67 Egodic theory and dynamical systems 68 Communication in Math. Physics 69 Communication on pure and applied math. 70 Annals of Math.

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Research interests: tests of general relativity and of alternative theories of gravity, black holes, quantum gravity phenomenology, high energy astrophysics, physics of the early Universe

Cosimo Bambi Antonino Marciano Leonardo Modesto

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1 The Quntum Theory of Light

London, Rodney Clarendon Press Oxford

2 Scaling and Renormalization in Statistical Physics

John Cardy Cambridge University Press

3 Statistical Physics of fields M Kardar Cambridge University Press

4

5

6 Topics in Advanced Quantum Mechanics B. R. Holstein Dover Publications

7 Advanced Quantum Mechanics J. J. Sakurai

8 II

9 Electrodynamics of continuous media LD Landau and E. M. Lifshitz Pergamon Press

10 Classical Electrodynamics JD Jackson John Wiley & Sons

11 Surface Physics and Surface Analysis (2004) (

12 Concepts of surface science M. C. Desjonqueres (2007)

13 Principles of surface physics F. Bechstedt Springer (2003), (2007)

14 Physics at surfaces Andrew Zangwill ( 2006)

15 Introduction to surface Physics

M. Prutton Oxford Science publication (1994)

16 Modern techniques of surface science

D. P. Woodruff and T. A, Delchar Cambridge Univ.(1994)

17 An Introduction to Introduction to Soft Matter Physics

Luwei Zhou Fudan University Press

18 Soft Condensed Matter Richard A.L.Jones Oxford University Press

64

65

19 Quantum Field Theory Franz Mandl, Graham, Shaw 20 Laser Spectroscopy

W. Demtroder Springer

21 Optical resonance and two-level atoms L. Allen and J.H. Eberly Dover , New York

22 Atom-Photon Interactions, Basic Process and Applications

Cohen-Tannoudji, Claude, Dupont-Roc, Jaques, and Grynberg, Gilbert Wiley-Interscience

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数学科学学院 1 - gs.fudan.edu.cn · 全面发展的高级基础数学理论研究人才。 ... 二 、 课程学习及 ... 成绩优秀的硕士生可以在二年级

数学科学学院 1 - gs.fudan.edu.cn · 全面发展的高级基础数学理论研究人才。 ... 二、课程学习及 ... 成绩优秀的硕士生可以在二年级