Sugestões para compra de livros visando a formação de uma biblioteca básica de um Departamento de Matemática

Lista organizada por Artur O. Lopes em agosto de 2015
 

Análise
Análise Funcional
Geometria
Topologia Diferencial
Análise Complexa
Álgebra
Teoria dos Números
Equações Diferenciais Ordinárias e Sistemas Dinâmicos
Equações Diferenciais Parciais e Integrais
Topologia e Topologia Algébrica
Combinatória
Miscelânea
Otimização
Probabilidade
Estatística Matemática
Física Matemática
Teoria da Informação e Computação
Biologia Matemática e Bioestatística
Economia Matemática

Apresentamos abaixo uma lista de livros organizada por Artur O. Lopes com “Sugestões para compra de livros para a formação de uma pequena biblioteca de um Departamento de Matemática”. Tentamos cobrir com ela algumas das principais áreas básicas da Matemática.
Muitas vezes, um Departamento de Matemática de uma Instituição de Ensino Superior, isolada ou sem muitos recursos, gostaria de investir na formação de uma pequena biblioteca básica na área de Matemática, mas não sabe exatamente o que comprar. Nosso trabalho tem o objetivo de colaborar nesta tarefa. A lista abaixo é constituída por livros que, no nosso entender, apresentam ótimas exposições de alguns dos tópicos fundamentais do conhecimento matemático.
Certamente, distintos matemáticos produziriam diferentes listas daquilo que acham que são os melhores e mais bem escritos textos em Matemática. Apresento aqui, o que “na minha opinião” são as exposições mais didáticas e que cobrem o corpo central dos tópicos que “parecem-me mais relevantes”. Não acredito que possa haver unanimidade nestes assuntos. Penso, no entanto, que qualquer um, pode concordar que os textos abaixo descritos constituem excelentes exposições matemáticas.
Dividi a lista em distintas áreas e ordenei em cada área os livros por 1), 2)... etc numa ordem que seria crescente do mais básico e prioritário aos livros mais sofisticados do ponto de vista matemático. Não tentei cobrir com ela os tópicos mais avançados da pesquisa atual, ou algo assim. Isto por duas razões: a primeira é que não estaria habilitado para tanto, a segunda é que meu objetivo principal é apresentar uma lista que não seja muito extensa. Acredito que uma biblioteca que possuísse em seu acervo os textos abaixo descritos permitiria ao usuário que a consulta uma razoável cobertura dos resultados básicos da Matemática em diversas áreas. Um estudante ou professor que desejasse estudar algum tópico para ele desconhecido poderia nela encontrar, com certeza, um texto bastante didático para lhe auxiliar neste trabalho. A lista ficou mais extensa do que eu pretendia, de qualquer modo, fica a critério da Universidade interessada comprar aquilo que lhe parece mais atraente para os seus propósitos científicos.
Alguns livros excelentes não se encontram na lista por não estarem mais disponíveis para venda. Livros que são extremamente caros também não foram incluídos.
Aqueles assuntos que já são cobertos por textos disponibilizados por editoras nacionais (IMPA, SBM, EDUSP, Ed. UNICAMP, Ed. UNB, LTC, etc...) não estão contemplados na presente lista.
Finalmente, na hora de comprar, gostaria de sugerir ao interessado (que em geral não dispõe de muitos recursos) a consulta a grande oferta de livros usados e em oferta que estão disponíveis pela internet. A maioria dos sites aceitam compras com cartão de crédito internacional, o que configura, no meu entender, a maneira mais barata de adquirir livros importados. Alguns endereços são descritos abaixo:

http://www.amazon.com/
http://www.abebooks.com/
http://www.bookfinder.com/
http://www.fetchbook.info/

Análise

Análise Funcional

1) A Course in Functional Analysis,
John B. Conway, Springer Verlag

2) Functional Analysis, Walter Rudin, McGraw Hill ed.

3) Methods of Modern Mathematical Physics, Vol. 1, 2, 3, 4, Michael Reed and Barry Simon, Academic Press

4) Sobolev Spaces, V. G. Maz'ia, Springer Verlag

5) Perturbation Theory for Linear Operators,
Tosio Kato, Springer Verlag

6) Linear Operators, Part I, II and III, Neilson Dunford and Jacob T. Schwartz, Wiley

7) Theorie des distributions, Laurent Schwartz, Hermann

8) Introduction to Pseudo Differential and Fourier Integral Operators, F. Treves, Plenum Press

9) Topological Vector Spaces, Helmut H. Schaefer, Springer Verlag

10) The Analysis Of Linear Partial Differential Operators I, II,III, IV, L. Hormander, Springer Verlag

11) G. K. Pedersen, C*-Algebras and and their automorphism groups, Acad Press

12) Bounded and Compact Integral Operators, D. E. Edmunds, Vakhtang Kokilashvili, Alexander Meskhi, David E. Edmunds
Kluwer Academic Publishers

13) Nonlinear Functional Analysis and Its Applications, I, II,III,
Eberhard Zeidler, Springer Verlag

14) Harmonic Analysis, Elias M. Stein, Princeton University Press

15) Introduction to Fourier Analysis on Euclidean Spaces,
Elias M. Stein, Guido Weiss, Princeton University Press

16) Singular Integral Operators,
Solomon G. Mikhlin, Siegfried Prossdorf , Springer Verlag

17) Convex Analysis,
Ralph Tyrell Rockafellar, Princeton Univ Press

18) C*-Algebras and W*-Algebras, Shoichiro Sakai, Springer Verlag

19) Spectral Theory and Differential Operators,
E. Brian Davies, Cambridge

20) Ten Lectures on Wavelets, I. Daubechies, SIAM

21) Function Spaces, Entropy Numbers and Differential Operators,
D. E. Edmunds, H. Triebel, Cambridge

22) Traces and Determinants of Linear Operators, I. Gohberg, S. Goldberg and N. Krupnik, Birkhauser

23) Weakly Differentiable Functions, William P. Ziemer, Springer Verlag

24) Functional Analysis: Spectral Theory, V.S. Sunder, Birkhäuser

25) Semigroups of Operators and Spectral Theory, Shmuel Kantorovitz, Chapman & Hall/CRC

26)Functional Analysis, P. D. Lax, Wiley-Interscience

27) Introduction to Spectral Theory: With Applications to Schrodinger Operators, P. D. Hislop, I. M. Sigal, Springer

28) An Introduction to Semiclassical and Microlocal Analysis,
Andre Martinez, Springer

29) Fourier Integral Operators, J. J. Duistermaat, Birkhauser

30) A First Course on Wavelets, E. Hernandez and G. Weiss, CRC Press

31) Trace Ideals and Their Applications, Barry Simon, AMS

32) An Introduction to Frames and Riesz Bases, O. Christensen, Birkhauser

33) Topics in Harmonic Analysis on Homogeneous Spaces, S. Helgason, Birkhauser

34) Spectral Asymptotics in the Semi-Classical Limit,
M. Dimassi and J. Sjostrand, Cambridge Press

35) A Mathematical Introduction to Wavelets,
P. Wojtaszczyk, Cambrige press

36) Functional Analysis, Sobolev Spaces and Partial Differential Equations, H. Brezis, Springer Verlag

37) The Atiyah-Patodi-Singer Index Theorem ,
Richard B. Melrose, AK Peters, Ltd

38) Scattering Theory, Peter D. Lax, Academic Press

39) C* Algebras by Example, K. Davidson, AMS

40) Fundamentals of the Theory of Operator Algebras,
Richard V. Kadison and John R. Ringrose, AMS

41) On Spectral Theory of Elliptic Operators,
Y. V. Egorov, V. A. Kondratiev, Birkhauser

Geometria

1) Differential Geometry of Curves and Surfaces,
M. do Carmo, Pearson Edit.

2) Riemannian Geometry,
Sylvestre Gallot, Dominique Hulin and Jacques Lafontaine, Springer Verlag

3) Riemannian Geometry,
M. do Carmo, Birkhauser

4) Differential Geometry and Its Applications,
John Oprea, MAA

5) Foundations of Differential Geometry,
Shoshichi Kobayash and Katsumi Nomizu,
Wiley

6) Riemannian Geometry and Geometric Analysis,
Jurgen Jost, Springer verlag

7) Nonlinear Analysis on Manifolds: Sobolev Spaces and Inequalities, Emmanuel Hebey, AMS

8) Minimal Surfaces: Vol I and II,
U. Dierkes, S. Hildebrandt, A. Kuester, O. Wohlrab, Springer Verlag

9) Geometric Measure Theory, Herbert Federer, Springer Verlag

10) A cromprehensive introduction to Differential Geometry, M. Spivak, Volumes I, II, II, IV, V, Publish or Perish, 1999

11) Foundations of Hyperbolic Manifolds,  J.G. Ratcliffe Springer Verlag

12) An Introduction to Riemann-Finsler Geometry, David Dai-Wai Bao, D. Bao, Shiing-Shen Chern, Zhongmin Shen, S. -S.-Shen Chern and Z. Shen, Springer Verlag

13) Noncommutative Geometry, Alain Connes, Academic Press

14) Lectures on Harmonic Maps,
Richard Schoen, S.T. Yau, Shing-Tung Yau, International Press of Boston

15) The Laplacian on a Riemannian Manifold, S. Rosenberg, Cambridge

16) Curvature and Homology,
Samuel I. Goldberg, Dover

17) Lectures on Hyperbolic Geometry,
Riccardo Benedetti, Carlo Petronio, Springer

18) Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture,
Peter B. Gilkey, John V. Leahy and Jeonghyeong Park,
CRC

19) Basic Concepts of Synthetic Differential Geometry, Rene Lavendhomme, Kluwer

20) A Course in Minimal Surfaces,
Tobias Holck Colding (Author), William P. Minicozzi II, AMS

21) An Introduction to Sympletic Geometry, Rolf Berndt,
AMS.

22) Lectures on Polytopes, Gunter M. Ziegler, Springer Verlag

23) Lectures on Differential Geometry, Richard Schoen and Shing-Tung Yau, Intl Pr

24) Minimal Surfaces and Functions of Bounded Variation,
Enrico Giusti, Birkhauser

26) Gromov's Compactness Theorem for Pseudo-Holomorphic Curves, C. Hummel, Birkhauser

27) A Course in Metric Geometry, Dmitri Burago, Yuri Burago, Surgei Ivanov, Iu. D. Burago, Sergei Ivanov, AMS

28) Integral Geometry and Geometric Probability, Luis Santalo, Cambridge Press

29) Riemannian Geometry, W. Klingenberg, de Gruyter

30) Lectures on Geometric Variational Problems, S. Nishikawa and R. Schoen, Springer Verlag

31) Geometry of Four-Manifolds, S.K. Donaldson and P.B. Kronheimer, Oxford Press

32) Asymptotic Formulae in Spectral Geometry ,
Peter B. Gilkey, CRC

33) Modern Differential Geometry of Curves and Surfaces with Mathematica, Alfred Gray, CRC Press

34) Geometry of Curves and Surfaces with MAPLE, Vladimir Y. Rovenski, Birkhauser

Topologia Diferencial

1) Differential Topology, Victor Guillemin and Alan Pollack, Prentice Hall

2) Foundations of Differentiable Manifolds and Lie Groups, Frank Warner, Springer verlag

3) Morse Theory, John Willard Milnor, Princeton Univ. Press

4) Differential Topology,
Morris W. Hirsch, Springer Verlag

5) Differential Forms and Connections,
R. W. R. Darling, Cambridge press

6) Lectures on Lie groups, J. Frank Adams, Benjamin Ed.

7) Three-Dimensional Geometry and Topology, W. Thurston Princeton Press.

8) Singularities of Differentiable Maps, Vol I and II,
V. I. Arnold, S.M. Gusein-Zade and A.N. Varchenko, Springer Verlag

9) The Topology of Fibre Bundles,
Norman Steenrod, Princeton Press

10) An introduction to Morse Theory, Y. Matsumoto, AMS

11) Topology of four-manifolds, M. Freedman and F. Quinn, Princeton Press

12) Automorphisms of surfaces after Nielsen and Thurston, A. Casson and S. Bleiler, Cambrige Press

13) The Ricci Flow: An Introduction,
Bennett Chow, Dan Knopf, AMS

14) Stable Mappings and Their Singularities,
M. Golubitsky, V.W. Gullemin, Springer Verlag

15) The Knot Book, C. Adams, W. Freedmann Edit

16) Introduction to Piecewise-Linear Topology, C. Rourke and B. Sanderson, Springer

17) Topology of Closed One-Forms, Michael Farber, AMS

Análise Complexa

1) Functions of One Complex Variable I and II,
John B. Conway, Springer Verlag

2) Compact Riemann Surfaces,
Jurgen Jost, Springer Verlag

3) Principles of Algebraic Geometry,
Phillip Griffiths and J. Harris, Wiley

4) Basic Algebraic Geometry I, Igor R. Shafarevich,
Springer Verlag

5) An Introduction to Teichmuller Spaces,
M. Taniguchi and Yoichi Imayoshi, Springer verlag

6) Algebraic Geometry, Robin Hartshorne,
Springer Verlag

7) Asymptotics and Special Functions,
Frank W. J. Olver, AK Peters Ltd

8) Complex Analysis,
Lars Ahlfors, MCGraw Hill

9) Geometry of Discrete Groups,
Alan F. Beardon, Springer Verlag

10) Topics in Complex Function Theory, Automorphic Functions and Abelian Integral, C.L. Siegel, Wiley

11) Elliptic Curves, Anthony W. Knapp, Princeton Press

12) Univalent Function, Peter L. Duren, Springer Verlag

13) Teichmuller Theory and Quadratic Differentials, Frederick P. Gardiner, Wiley

14) Algebraic Surfaces and Holomorphic Vector Bundles,
Robert Friedman,
Springer

15) Introduction to Toric Varieties, William Fulton, Princeton University Press

16) Higher-Dimensional Algebraic Geometry,
Olivier Debarre, Springer

17) Introduction to the Mori Program,
Kenji Matsuki, Springer

18) Hodge Theory and Complex Algebraic Geometry, Volume 1,
Claire Voisin, Cambridge University Press;

19) Quasiconformal Teichmuller Theory, Frederick P. Gardiner, Nikola Lakic, AMS

20) The Bieberbach Conjecture,
Sheng Kung,
Ams

21) Harmonic Measure,
John B. Garnett, Donald E. Marshall, Cambridge press

22) Theta Constants, Riemann Surfaces and the Modular Group,
Hershel M. Farkas and Irwin Kra,
American Mathematical Society

23) Resolution of Singularities, Steven Dale Cutkosky, AMS

24) Function Theory in Several Complex Variables, Toshio Nishino, AMS

25) Theory of Hp Spaces, Peter L. Duren, Dover

26) Foundations of Potential Theory, Oliver D. Kellogg, Dover

27) Univalent Functions and Teichmuller Spaces, Olli Lehto, Springer

28) Boundary Behaviour of Conformal Maps, Christian Pommerenke, Springer

29) Lectures on Quasiconformal Mappings, Lars V. Ahlfors, AMS

31)Projective Geometry, P. Samuel, Springer

32) Fundamental Algebraic Geometry: Grothendieck's Fga Explained, Lothar Gottsche, Luc Illusie, Steven L. Kleiman, Nitin Nitsure, Angelo Vistoli and Barbara Fantechi, AMS

33) Complex Analysis with MATHEMATICA, William T. Shaw, Cambridge Press

Álgebra

1) Algebra, Thomas W. Hungerford, Springer Verlag

2) Algebra, S. Lang, Springer Verlag

3) Galois Theory, Ian Stewart, CRC Press

4) Algebra: A Graduate Course, I. Martin Isaacs,
Brooks Cole Ed.

5) Local Fields,
Jean Pierre Serre, Springer Verlag

6) Lie Groups, Lie Algebras, and Representations,
Brian C. Hall, Springer Verlag

7) Introduction to Commutative Algebra,
M.F. Atiyah, I.G. MacDonald, Addison Wesley

8) Commutative Ring Theory, H. Matsumura, Cambridge Univ Press

9) Linear Algebra, K. Hoffman and R. Kunze, Prentice Hall

10) Galois Cohomology,
Jean-Pierre Serre, Springer

11) Finite Group Theory, Michael Aschbacher, Cambridge Univ Press

12) Commutative Algebra With a View Toward Algebraic Geometry, David Eisenbud, Springer Verlag

13) Noncommutative Algebra,
Benson Farb, R. Keith Dennis, Springer

14) Introduction to Quadratic Forms,
O. T. O'Meara, Springer

15) The Geometry of Schemes, David Eisenbud, Joe Harris, Springer

16) Introduction to Cyclotomic Fields ,
Lawrence C. Washington, Springer

17) Introduction to Lie Algebras and Representation Theory,
James E. Humphreys Springer

18) Linear Representations of Finite Groups,
Jean-Pierre Serre, Springer

19) Geometric Algebra,
E. Artin, Wiley

20) Homological Algebra,
Henry Cartan and Samuel Eilenberg, Princeton Press

21) Methods of Homological Algebra,
Sergei I. Gelfand and Yuri I. Manin, Springer

22) Introduction to Quadratic Forms over Fields, T. Y. Lam , AMS

23) The Theory of Classical Valuations, P. Ribenboim, Springer

24) An Introduction to Grobner Bases,
W. W. Adams and P. Loustaunau, AMS

25) Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra,
David A. Cox, Springer Verlag

26) Computational Methods in Commutative Algebra and Algebraic Geometry, Wolmer Vasconcelos, Springer Verlag

27) Quantum Groups, Christian Kassel, Springer Verlag

Teoria dos Números

1) An Introduction to the Theory of Numbers,
Ivan Morton Niven and Herbert S. Zuckerman,
John Wiley

2) Introduction to Analytic Number Theory,
Tom M. Apostol,
Springer Verlag

3) Classical Theory of Algebraic Numbers, P. Ribenboim, Springer

4) Algebraic Number Theory, A. Fröhlich and M. J. Taylor, Cambridge Press

5) Number Theory, Loo-Keng Hua, Springer Verlag

6) An Introduction to the Theory of the Riemann Zeta-Function,
S. J. Patterson, Cambridge University Press

7) Algebraic Number Theory and Fermat's Last Theorem,
Ian Stewart and David Tall, AK Peters

8) Analytic Number Theory, H. Iwaniec and E. Kowalski, American Mathematical Society

9) A Course in Arithmetic,
Jean Pierre Serre, Springer

10) Number Theory, H Hasse, Springer

11) Invitation to the Mathematics of Fermat-Wiles,
Yves Hellegouarch, Academic Press

12) P-Adic Numbers: An Introduction,
F.Q. Gouvea, Springer

13) Introduction to Arithmetic Theory of Automorphic Functions,
Goro Shimura,
Princeton University Press

14) Diophantine Geometry, Marc Hindry and Joseph H. Silverman, Springer

16) Topics in the Theory of Numbers,
Paul Erdos and  Janos Suranyi, Springer

17) Special Functions,
George E. Andrews, Richard Askey and Ranjan Roy,
Cambridge University Press

18) P-Adic Numbers, P-Adic Analysis, Zeta-Functions, Neal Koblitz,
Springer

19) Spectral Methods of Automorphic Forms, Henryk Iwaniec, AMS

20) Topics in Classical Automorphic Forms, Henryk Iwaniec, AMS

21) Elliptic Curves: Function Theory, Geometry, Arithmetic,
Henry McKean and Victor Moll,
Cambridge University Press

22) Transcendental Numbers, A. B. Shidlovskii, ed Walter de Gruyter

23) The Arithmetic of Elliptic Curves, Joseph H. Silverman, Springer verlag

24) A Course in p-adic Analysis, Alain M. Robert, Springer verlag

25) A Course in Number Theory and Cryptography,
Neal Koblitz, Springer

26) Multiplicative Number Theory,
Harold Davenport, Springer

27) Modular Forms and Fermat's Last Theorem,
Gary Cornell, Joseph H. Silverman and  Glenn Stevens, Springer

28) Spectral Theory of Automorphic Functions,
A B. Venkov, Amer Math Soc

29) Abelian Functions, H. F. Baker, Cambridge University Press

30) Introduction to Analytic and Probabilistic Number Theory,
G. Tenenbaum, Cambridge

31) Field Arithmetic, Michael D. Fried and M. Jarden, Springer

32) Elementary Theory of L-functions and Eisenstein Series, Haruzo Hida, Cambridge

Equações Diferenciais Ordinárias e Sistemas Dinâmicos

1) Introduction to Dynamical Systems, Michael Brin
and
Garrett Stuck,
Cambridge Press

2) Ergodic Theory, Hyperbolic Dynamics and Dimension Theory, L. Barreira,

3) Global Stability of Dynamical Systems,
Michael Shub, Springer Verlag

4) Ergodic Theory and Differentiable Dynamics, R. Mane, Springer Verlag

5) Ergodic Theory,
Karl E. Petersen, Cambridge Press

6) Introduction to the Modern Theory of Dynamical Systems, Anatole Katok and Boris Hasselblatt, Cambridge Press

7) Dynamical Systems,
Clark Robinson, CRC Press

8) Concepts and Results in Chaotic Dynamics: A Short Course, P. Collet and J. P. Eckmann, Springer

9) Thermodynamic Formalism and Applications to Dimension Theory, L. Barreira, Birkhauser

10) One-dimensional dynamics, W. Melo and S. VanStrien, Springer Verlag

11) Conformal Fractals: Ergodic Theory Methods, F. Przytycki and M. Urbanski, Cambrige Press

12 ) Dynamics in One Complex Variable, John Milnor , Princeton Press

13) Bifurcations and Catastrophes: Geometry of Solutions to Nonlinear Problems, Michel Demazure, Springer Verlag

14) Applications of Lie Groups to Differential Equations, Peter J. Olver, Springer

15) Dynamical Systems and Ergodic Theory, Mark Pollicott and Michiko Yuri, Cambridge

16) An Introduction to Ergodic Theory, Peter Walters, Springer

17) Nonuniform Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents, L. Barreira and Y. Pesin

18) Fine Structures of Hyperbolic Diffeomorphisms, A. A. Pinto, D. A. Rand and F. Ferreira, Springer Verlag

19) Dimension and Recurrence in Hyperbolic Dynamics, L. Barreira, Birkhauser

20) Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, John Guckenheimer and Philip Holmes, Springer

21) Topology of Foliations: An Introduction, Itiro Tamura, AMS

22) Lectures on Lyapunov Exponents. M. Viana, Cambridge

23) Dimension Theory in Dynamical Systems, Yakov B. Pesin, Chicago Press

24) Calculus of Variations, S. V. Fomin and I. M. Gelfand, Dover

25) Calculus of Variations I and II, Mariano Giaquinta and Stefan Hildebrandt,
Springer Verlag

26) Equilibrium States in Ergodic Theory, Gerhard Keller, Cambridge

27) Theory of ordinary differential equations, E. Coddington and N. Levinson, Ed. McGraw Hill

28) Weak KAM Theorem in Lagrangian Dynamics, Albert Fathi, Cambridge

29) Global minimizers of Autonomous Lagrangians, G. Contreras and R. Iturraiaga, Amer Math Soc.

30) Singularities and Groups in Bifurcation Theory,
Martin Golubitsky  and David G. Schaeffer, Springer Verlag

31) Holomorphic Dynamics, S. Morosawa, Y. Nishimura, M. Taniguchi and T. Ueda, Cambridge Press

32) Random Dynamical Systems, L. Arnold, Springer Verlag

33) Dynamics Beyond Uniform Hyperbolicity: A Global Geometric And Probabilistic Perspective,
Christian Bonatti, Lorenzo J. Diaz  and Marcelo Viana, Springer-Verlag

34) Differential Geometry and Topology: With a View to Dynamical Systems,
Keith Burns and Marian Gidea, Chapmann and Hall

35) Cartesian Currents in the Calculus of Variations I and II, Mariano Giaquinta, Giuseppe Modica, Jiri Soucek,
Springer Verlag

36) Chaotic Billiards, N. Chernov and R. Markarian, AMS

37) Ergodic Theorems, Ulrich Krengel,
Walter de Gruyter Inc

38) Bifurcation Phenomena in Nonlinear Systems and Theory of Dynamical Systems,
H. Kawakami, Springer

39) Discrete groups, expanding graphs and invariant measures, A. Lubotzky, Birkhauser

40) An Introduction to Symbolic Dynamics and Coding,
Douglas Lind and Brian Marcus, Cambridge University Press

41) Ergodic Theory and Semisimple Groups,
R. Zimmer, Birkhauser

42) Dynamical Entropy in Operator Algebras ,
Sergey Neshveyev and Erling Størmer, Springer

43) Introduction to Functional Differential Equations, Jack K. Hale  and Sjoerd M. Verduyn Lunel, Springer Verlag

44) Basic Ergodic Theory, M. Nadkarni, Birkhauser

45) Aspects of Ergodic, Qualitative and Statistical Theory of Motion,
G. Gallavotti, F. Bonetto and G. Gentile, Springer Verlag

47) Qualitative Theory of Planar Differential Systems, Freddy Dumortier, Jaume Llibre and Joan C. Artes, Springer

48) Dynamical Systems and Semisimple Groups : An Introduction,
Renato Feres, Cambridge University Press

49) Foliations on Surfaces,
Igor Nikolaev, Springer

50) Topics from One-Dimensional Dynamics, Karen M. Brucks and Henk Bruin, Academic Press

51) Dynamics: Numerical Explorations, Helena E. Nusse, James A. Yorke, B.C. Hunt and E.J. Kostelich, Springer

52) Handbook of Exact Solutions for Ordinary Differential Equations, A. D. Polianin and  Valentin F. Zaitsev, CRC Press

53) Ordinary Differential Equations With Mathematica,
Alfred Gray, Mike Mezzino and Mark Pinsky, Springer Verlag

54) Dynamical Systems with Applications using Maple,
Stephen Lynch,
Birkhauser

55) Dynamical Systems and Numerical Analysis, A. Stuart and A. R. Humphries, Cambridge Press

Equações Diferenciais Parciais e Integrais

1) Partial Differential Equations,
Lawrence C. Evans, AMS

2) Partial Differential Equations: Vol I, II e III,
Michael E. Taylor, Springer Verlag

3) Semigroups of Linear Operators and Applications to Partial Differential Equations, A. Pazy, Springer Verlag

4) Partial Differential Equations, Harold Levine, AMS

5) Hyperbolic Partial Differential Equations and Wave Phenomena, Mitsuru Ikawa and Bohdan I. Kurpita, AMS

6) Elliptic Partial Differential Equations of Second Order, David Gilbarg and Neil S. Trudinger, Springer Verlag

7) Green's Functions and Boundary Value Problems, Ivar Stakgold, Wiley-Interscience

8) Systems of Conservation Laws, 1 and 2,
Denis Serre, Cambridge Press

9) Analysis on Real and Complex Manifolds, R. Narasimhan, Elsevier

10) Infinite-Dimensional Dynamical Systems in Mechanics and Physics, R. Teman, Springer Verlag

11) Navier-Stokes Equations and Turbulence, Ciprian Foias, Oscar Manley, Ricardo Rosa and Roger Temam, Cambridge Press

12) Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem, Peter B. Gilkey, CRC Press

13) Foundations of Fluid Dynamics, Giovanni Gallavotti, Springer Verlag

14) Solitons: An Introduction,
P. G. Drazin and R. S. Johnson, Cambridge Press

15) Kdv & Kam ,
Thomas Kappeler and Jurgen Poschel, Springer

16) An Introduction to the Mathematical Theory of the Navier-Stokes Equations: Volume 1 and 2, Giovanni P. Galdi,
Springer Verlag

17) Linear Integral Equations,
Rainer Kress, Springer Verlag

18) Analysis of Systems of Conservation Laws,
Heinrich Freistuhler,
CRC Press

19) Solutions de viscosité des équations de Hamilton-Jacobi,
Guy Barles Springer Verlag

20) Partial Differential Equations, J. Wloka, Cambridge Press

21) Dynamics in Infinite Dimensions,
Jack K. Hale, Luis T. Magalhaes and Waldyr M. Oliva,
Springer Verlag

22) Lectures on Nonlinear Hyperbolic Differential Equations, L. Hormander, Springer Verlag

23) Spectral and Scattering Theory and Applications,
K. Yajima, Ams

24) Analytic Methods for Partial Differential Equations,
G., Evans, J., Blackledge and P. Yardley, Springer Verlag

25) Toeplitz Matrices and Singular Integral Equations, Albrecht Bottcher, Israel Gohberg and Peter Junghanns, Springer-Verlag

26) Microlocal Analysis for Differential Operators: An Introduction,
Alain Grigis, Cambridge University Press

27) Volterra Integral and Functional Equations,
G. Gripenberg, S. O. Londen and O. Staffans, Cambridge University Press

28) Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations,
Martino Bardi and Italo Capuzzo-Dolcetta, Birkhauser

29) Topics in Optimal Transportation, Cedric Villani , AMS

30) Fully Nonlinear Elliptic Equations, Luis A. Caffarelli and Xavier Cabre, AMS

31) Théorie des perturbations et méthodes asymptotique, V. Maslov, Ed Dunod, Paris

32)Asymptotic Analysis of Differential Equations, R. B. White, Imperial College Press

33) Handbook of Nonlinear Partial Differential Equations,
Andrei D. Polyanin and Valentin F. Zaitsev, CRC Press

34) Handbook of Linear Partial Differential Equations for Engineers and Scientists,
Andrei D. Polyanin, CRC Press

35) Handbook of Integral Equations,
Andrei D. Polyanin, CRC Press

36) Introduction to Partial Differential Equations with MATLAB, Jeffery M. Cooper, Birkhauser

37) Partial Differential Equations & Boundary Value Problems with Maple V,
George A. Articolo, Academic Press

38) Partial Differential Equations and Mathematica,
Prem K. Kythe, Pratap Puri and Michael R. Schäferkotter, CRC Press

Topologia e Topologia Algébrica

1) A Basic Course in Algebraic Topology,
William S. Massey, Springer Verlag

2) Elements of Algebraic Topology,
James R. Munkres, Perseu Publishing

4) General Topology,
John L. Kelley, Springer Verlag

5) Differential Forms in Algebraic Topology, Raoul Bott and Loring W. Tu,
Springer Verlag

6) From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes, Ib H. Madsen and Jurgen Tornehave, Cambridge Press

7) Introduction to Knot Theory,
W. B. Raymond Lickorish,
Springer Verlag

8) Surgery on Compact Manifolds, C. T. C. Wall and A. A. Ranicki, AMS

9) Characteristic Classes, J. Milnor and J. Stasheff, Princeton Press

10) 3-Manifolds, John Hempel, AMS

11) Topology of 4-Manifolds, Michael Freedman and Frank Quinn, Princeton Univ . Press

12) Braid and Knot Theory in Dimension Four, Seiichi Kamada, AMS

13) K-theory, M. Atiyah, Addison Wesley

14) Introduction to Algebraic K-Theory, John Milnor,
Princeton Press

15) On Thom Spectra, Yu. B. Rudyak,
Springer

16) Topology and Geometry, Glen E. Bredon, Springer

17) Algebraic Topology, A. Hatcher, Cambridge Press

18) Fixed Point Theory, G. Anderson, Springer Verlag

19) Topics on Analysis in Metric Spaces, L. Ambrosio, Oxford Press

20) Introduction to Topological Groups, T. Husain, W. B. Saunders Co.

Combinatória

1) Combinatorial Theory, Marshall Hall,
Wiley-Interscience

2) Finite Geometries,
Peter Dembowski, Springer Verlag

3) Combinatorial Theory,
Martin Aigner, Springer Verlag

4) Combinatorial Methods in Discrete Mathematics, Vladimir N. Sachkov; Cambridge Press

Miscelânea

1) Encyclopedic Dictionary of Mathematics: The Mathematical Society of Japan (2 Vol. Set),  Kiyosi Ito,
The MIT Press

2) Difference Equations: An Introduction with Applications,
Walter G. Kelley and Allan C. Peterson, Academic Press

3) Measure, Topology and Fractal Geometry,
Gerald A. Edgar, Springer Verlag

4) Metric Spaces of Fuzzy Sets: Theory and Applications,
Phil Diamond, World scientific

5) The Geometry of Fractal Sets,
K. J. Falconer, Cambridge

6) Matrix Analysis, Roger A Horn and Charles R. Johnson,
Cambridge University Press

7) Fundamentals of Convex Analysis, Jean Baptiste Hiriart Urruty  and C. Lemarechal, Springer

8) Graph Theory, Reinhard Diestel, Springer Verlag

9) Sets, Logic and Categories,
P. Cameron, Springer Verlag

10) Hausdorff Measures,
C. A. Rogers, Cambridge

11) Introduction to Numerical Analysis,
R. Bulirsch and J. Stoer, Springer

12) An Introduction to the Fractional Calculus and Fractional Differential Equations,
Kenneth S. Miller and Bertram Ross, John Wiley

13) Theory of Fuzzy Differential Equations and Inclusions,
V. Lakshmikantham and R. N. Mohapatra, CRC Press

14) Nonstandard Analysis in Practice,
Francine Diener and  Marc Diener, Springer Verlag

15) Set Theory,
Thomas J. Jech, Springer Verlag

16) Logic for Mathematicians,
A. G. Hamilton, Cambridge University Press

17) Model Theory: An Introduction,
David Marker, Springer Verlag

18) Topics in Matrix Analysis, Roger A Horn and Charles R. Johnson,
Cambridge University Press

19) Lectures on Polytopes,
Gunter M. Ziegler, Springer

20) Modern Graph Theory,
B. Bollobas, Springer

21) Gradient Flows: In Metric Spaces and in the Space of Probability Measures, L. Ambrosio, N. Gigli and G. Savare, Birkhauser

Otimização

1) Methods of Mathematical Economics, Linear and Nonlinear Programming, Fixed-point theorems, J. Franklin, SIAM

2) Convex Optimization, Stephen Boyd and Lieven Vandenberghe, Cambridge

3) Introduction to Optimization, P. Pedregal, Springer

4) Linear and Nonlinear Programming, David G. Luenberger, Springer

5) Optimization and Nonlinear Analysis, A. Ioffe, CRC

6) Mathematical Control Theory, E. D. Sontag, Springer Verlag

7) Introduction to Stochastic Control Theory, Karl J. Astrom, Dover

8) Matrix Computations, G. H. Golub and C. F. Van Loan, The John Hopkins Press

9) Deterministic and Stochastic Optimal Control, W. H. Fleming and R. W. Rishel, Springer

10) Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control
P. Cannarsa and C. Sinestrari, Birkhauser

Probabilidade

1) Probability and Measure,
Patrick Billingsley, Wiley

2) Markov Chains, James R. Norris, Cambridge Press

3) A First Course in Stochastic Processes,
S. Karlin and H. Taylor, Academic Press

4) A Second Course in Stochastic Processes
S. Karlin and H. Taylor, Academic Press

5) Probability: Theory and Examples,
Richard Durrett, Wadsworth Publishing

6) An Introduction to Measure and Probability,
J. C. Taylor, Springer

7) Probability and Random processes, G. Grimmett and D. Stirzaker, Oxford Press

8) Probability, A. Shiryaev, Springer Verlag

9) Stochastic Differential Equations,
Bernt Oksendal, Springer Verlag

10) Random Perturbations of Dynamical Systems, M. I. Freidlin and A. D. Wentzell, Springer Verlag

11) Markov Processes : Characterization and Convergence
Stewart N. Ethier and Thomas G. Kurtz,
Wiley

12) An Introduction to Probability Theory and Its Applications, Volume 1 e 2,
William Feller, Wiley

13) Brownian Motion and Stochastic Calculus, Ioannis Karatzas and Steven E. Shreve, Springer Verlag

14) Probability with Martingales, David Williams, Cambridge Press

15) Interacting Particle Systems, Thomas M. Liggett, Springer Verlag

16) Entropy, Large Deviations, and Statistical Mechanics, R.S. Ellis, Springer Verlag

17) Continuous Martingales and Brownian Motion,
D. Revuz and Marc Yor, Springer Verlag

18) The Theory of Branching Processes, Theodore E. Harris, Dover

19) Convergence of Probability Measures, P. Billingsley, Wiley

20)Large Deviations and Metastability, E. Olivieri and M. E. Vares, Cambrige Press

21) Scaling Limits of Interacting Particle Systems,
Claude Kipnis and Claudio Landim, Springer Verlag

23) An Introduction to Markov Processes, Daniel W. Stroock, Springer

24) Markov Chains and Stochastic Stability,
Sean P. Meyn and Richard L. Tweedie,
Springer

25) Real Analysis and Probability,
R. M. Dudley, Cambridge Press

26) An Introduction to the Theory of Point Processes, Daryl J. Daley and David Vere-Jones, Springer

27) Percolation, Geoffrey Grimmett, Springer Verlag

28) Non-Negative Matrices and Markov Chains, E. Seneta, Springer

29) Coupling, Stationarity, and Regeneration, Hermann Thorisson, Springer

30) Lévy Processes,
Jean Bertoin, Cambridge

31) Gradient Flows: In Metric Spaces and in the Space of Probability Measures,
L. Ambrosio, N. Gigli and G. Savaré, Birkhauser

32) Stochastic Analysis on Manifolds, Elton P. Hsu, AMS

33) Gaussian Markov Random Fields: Theory and Applications,
H. Hue and  L. Held, Chapmann and Hall

34) Percolation, B. Bollobás and O. Riordan, Cambridge Press

35) Classical Potential Theory and Its Probabilistic Counterpart,
Joseph L. Doob Springer

36) Stochastic Calculus: Applications in Science and Engineering,
Mircea Grigoriu, Birkhauser

37) Probability Theory, Random Processes, Random Fields, L. Koralov and Y. Sinai, ed. Springer

38) Feynman-Kac-Type Theorems and Gibbs measures on path space, J. Lorinczi, F. Hiroshima and B. Betz, ed. de Gruyter

39) Probability in Banach spaces,
Michel Ledoux, Springer Verlag

40) Hidden Markov Models: Estimation and Control, Robert J. Elliott, Lakhdar Aggoun and John B. Moore, Springer

41) Schrödinger Diffusion Processes,
Robert Aebi, Birkhauser

42) Limit Theorems for Stochastic Processes,
J. Jacod and Albert Nikolaevich Shiriaev, Springer

43) Markov Processes : Structure and Asymptotic Behavior, Rosenblatt, Murray, Springer Verlag

44) Functional Analysis for Probability and Stochastic Processes: An Introduction, Adam Bobrowski, Cambridge Press

45) Gaussian Random Fields,
K. Ito and T. Hida, World scientific

46) Mass transportation problems, Vol I and II, S. Rachev and L. Ruschendorf, Springer Verlag

47) From Elementary Probability to Stochastic Differential Equations with MAPLE,
S. Cyganowski, P. Kloeden and J. Ombach, Springer

Estatística Matemática

1) Mathematical Statistics,
P. Bickel and K. Doksum,
Holden-Day

2) Foundations and Applications of Statistics: An Introduction Using R,
R. Pruim, AMS

3) An introduction to probability theory and mathematical statistics,
V. Rohatgi,
John Wiley

4) Mathematical Statistics,
Jun Shao, Springer Verlag

5) Time Series: Theory and Methods,
Peter J. Brockwell and R. Davis, Springer Verlag

6) Bayesian Theory, J. M. Bernardo and A. F. M. Smith, Ed. Wiley

7) Introduction to Statistical Theory, P. G. Hoel, Ed. Houghton Mifflin

8) An Introduction to Multivariate Statistical Analysis,
T. W. Anderson, John Wiley

9) Theory of Point Estimation E. L. Lehmann, Springer

10) Testing Statistical Hypotheses,
E. L. Lehmann, Springer

11) Generalized Linear Models,
P. McCullagh and J.A. Nelder, Chapman & Hall/CRC

12) Likelihood Methods in Statistics,
Thomas A. Severini,
Oxford

13) Elements of Large-Sample Theory, E. L. Lehmann, Springer

14) Asymptotics in Statistics: Some Basic Concepts,
Lucien Le Cam and  Grace Lo Yang, Springer

15) Bayesian Inference in Statistical Analysis,
George E. P. Box and George C. Tiao, Wiley-Interscience

16) Nonparametrics: Statistical methods based on ranks,
E. L Lehmann, Prentice Hall

17) Sampling Techniques,
William G. Cochran, John Wiley

18) Statistical Analysis of Stochastic Processes in Time, J. K. Lindsey,
Cambridge press

19) Elements of Applied Stochastic Processes,
U. Narayan,  John Wiley

20) Multivariate Analysis J. T. Kent, J. M. Bibby, K. V. Mardia, Elsevier

21) Asymptotic Statistics,
A. W. van der Vaart, Cambridge

22) Forecasting, Structural Time Series Models and the Kalman Filter, Andrew C. Harvey,
Cambridge University Press

23) Statistics for Long-Memory Processes,
Jan Beran, Chapmann Hall

25) Modelling Extremal Events for Insurance and Finance,
Paul Embrechts, Claudia Kluppelberg and Thomas Mikosch, Springer

26) Bayesian Data Analysis, Andrew Gelman, John B. Carlin, Hal S. Stern and Donald B. Rubin,
CRC

27) Stable Non-Gaussian Random Processes: Stochastic Models with Infinite Variance, Gennady Samorodnitsky and Murad S. Taqqu, Chapmann Hall

28) Bootstrap Methods and their Application, A. C. Davison and D. V. Hinkley, Cambrigde

29) An Introduction to Copulas,
Roger B. Nelsen, Springer

30) Theory and Applications of Long-Range Dependence, P. Doukhan, G. Oppenheim and M. S. Taqqu, Birkhauser

31) Simulation, Sheldon M. Ross, Academic Press

32) Statistical Modeling by Wavelets,
Brani Vidakovic, Wiley

31) Robust Statistics, Peter J. Huber, Wiley

32) Statistics of Random Processes I and II,
R. Sh Liptser and Albert Shiryaev, Springer

34) Extreme Value Theory: An Introduction, Laurens de Haan and Ana Ferreira, Springer

35) Applied Data Mining: Statistical Methods for Business and Industry,
Paolo Giudici, John Wiley

36) Long-Memory Time Series: Theory and Methods, W. Palma, Ed. Wiley

37) Probability & Statistics, Volumes 1 and 2, D. da Cunha Castelle, Springer Verlag

38) Decoupling: From Dependence to Independence: Randomly Stopped Processes U-Statistics and Processes Martingales and Beyond, Victor De LA Pena and Evarist Gine, Springer

39) Robust Statistics: The Approach Based on Influence Functions,
Frank R. Hampel, Wiley,

40) Applied Logistic Regression, David W. Hosmer and Stanley Lemeshow, Wiley

41) A Course in Time Series Analysis,
Daniel Peña, George C. Tiao and Ruey S. Tsay, Wiley

42) U-statistics,
A. J. Lee, Ed Marcel Dekker

43) Time-Series Forecasting,
Chris Chatfield Ed Chapmann-Hall

44) Approximation Theorems of Mathematical Statistics,
Robert J. Serfling, Wiley-Interscience

45) Statistical Design and Analysis of Experiments,
Peter William and Meredith John,
Soc for Industrial & Applied Math

46) Stable Non-Gaussian Random Processes: Stochastic Models with Infinite Variance,
Gennady Samorodnitsky, Chapmann Hall

47) The R Book, M. J. Crawley, Ed Wiley,

48) Time Series Analysis: With Applications in R, J. D. Cryer and K-S. Chan, Springer

49) Bayesian Computation with R, J. Albert, Springer

50) The Basics of S-PLUS,
Andreas Krause and Melvin Olson, Springer

51) Probability and Statistics Explorations with MAPLE,
Zaven A. Karian and Elliot A. Tanis, Prentice Hall

52) Mathematical Statistics with MATHEMATICA,
Colin Rose and Murray D. Smith, Springer

53) Modeling Financial Time Series with S-PLUS,
Eric Zivot and Jiahui Wang, Springer

Física Matemática

1) Mathematical Methods of Classical Mechanics, V. I. Arnold, Springer Verlag

2) Statistical Mechanics of Disorder Systems, A. Bovier, Cambridge Press<\p>

3) Statistical Mechanics: A Short Treatise, Giovanni Gallavotti, Springer Verlag

4) Analytical Mechanics: An Introduction, Antonio Fasano, S Marmi and Beatrice Pelloni , Oxford Press

5) Mathematical Concepts of
Quantum Mechanics, S. J. Gustafson and I. Sigal, Springer

7) Gibbs Measures and Phase Transitions,
Hans-Otto Georgii, ed. De Gruyter

8)Lectures on Quantum Mechanics for mathematics students, F. Faddeev and O. Yakubovskii, AMS

9)An Introduction to the Mathematical Structure of Quantum Mechanics: A Short Course for Mathematicians, F. Strocchi, World Scientific

10) Quantum Mechanics for Mathematicians, L, A. Takhtajan, AMS

11) Renormalization: An Introduction, Manfred Salmhofer, Springer Verlag

12) Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics, J. A. De Azcarraga and Jose M. Izquierdo, Cambridge

13) The principles of Newtonian and Quantum Mechanics, M. de Gosson, Imperial College Press

14) Operator Algebras and Quantum Statistical Mechanics 1 and 2: Ola Bratteli and D. W. Robinson, Springer Verlag

15) An Introduction to Quantum Theory, Keith Hannabuss,
Oxford Press

16) Symplectic Geometry and Quantum Mechanics, M. de Gosson, Birkhauser

17) Foundations of Mechanics,
Ralph Abraham and Jerrold E. Marsden,
Addison Wesley

18) Electricity and Magnetism for Mathematicians: A Guided Path from Maxwell's Equations to Yang-Mills,
Thomas A. Garrity, Cambridge

19) Differential Forms and the Geometry of General Relativity,
T Dray, CRC Press

20) Semiclassical Analysis,
Maciej Zworski, AMS

21) Manifolds, Tensor Analysis, and Applications,
Ralph Abraham, Jerrold E. Marsden and Tudor Ratiu, Springer

22) Gravitation and Cosmology, S. Weinberg, Wiley

23) General Relativity, Robert M. Wald, Univ. Chicago Press

24) Topology, geometry, and gauge fields, Vol I and II, L. Naber, Springer

25) Quantum Mechanics: A Modern Development, L. E. Ballentine,
World Scientific

26) Semi-Classical Approximation in Quantum Mechanics,
V. P. Maslov and M. V. Fedoriuk, Kluwer

27) General relativity and the Einstein equations, Y. Choquet-Bruhat, Oxford Press

28) Integration in function spaces and some of its applications, Mark Kac, Pub Ecole Norm. Sup. Pisa

29) Gauge Fields: An Introduction to Quantum Theory, L.D. Faddeev and A.A. Slacnov, Addison Wesley

) Differential Geometry and Relativity Theory,
Richard L. Faber, Marcel Dekker

29) Introduction to Mechanics and Symmetry, Jerrold E. Marsden and Tudor S. Ratiu, Springer

30) A Mathematical Introduction to String Theory,
Sergio Albeverio, Jurgen Jost, Sylvie Paycha and Sergio Scarlatti, Cambrige Press

31) Quantum Field Theory for Mathematicians, Robin Ticciati, Cambridge Press

32) Semiclassical Analysis, Witten Laplacians, and Statistical Mechanics,
Bernard Helffer, World scientific

33) Stochastic Processes in Physics and Chemistry,
N. G. Van Kampen, Elsevier Science Pub Co

34) Quantum Physics: A Functional Integral Point of View,
James Glimm and Arthur Jaffe Springer

35) Mathematical Theory of Quantum Fields,
Huzihiro Araki, Oxford University Press

36) Quantum Fields and Strings: A Course for Mathematicians, I and II, Pierre Deligne, American Mathematical Society

37) Introduction to Mathematical Statistical Physics, R. A. Minlos, AMS

38) Symplectic Techniques in Physics, Victor Guillemin and Shlomo Sternberg, Cambridge

39) Path Integrals in Quantum Mechanics Jean Zinn-Justin, Oxford

40) Introduction to Spectral Theory: With applications to Schrodinger Operators, P. Hislop and I. Sigal, Springer Verlag

41) Local quantum physics: Fields, particles, algebras,
Rudolf Haag, Springer

42) Geometric Asymptotics, V. Guillemin and Shlomo Sternberg, AMS

43) The Geometry of Physics: An Introduction, Theodore Frankel, Cambridge press

44) Clifford Algebras and Spinors, Pertti Lounesto, Cambridge

45) Gauge Fields, Knots and Gravity, John C. Baez and Javier P. Muniain, World Scientific

46) Introduction to Symplectic Topology,
Dusa McDuff, D. Salamon
Oxford University Press

47) Functional Integration and Quantum Physics,
B. Simon, AMS

48) Spinors and Space-Time: Volume 1 and 2,
Roger Penrose and Wolfgang Rindler, Cambridge

49) A renormalization group analysis of the hierarchical model in statistical mechanics,
Pierre Collet, Springer

50) Group Theory and Physics,
Shlomo Sternberg, Cambridge

51) Mathematical Methods in Electromagnetism: Linear Theory and Applications, Michel Cessenat, World scientific

52) Floer Homology Groups in Yang-Mills Theory, S. K. Donaldson, Cambridge

53) The Feynman Integral and Feynman's Operational Calculus,
Gerald W. Johnson and Michel L. Lapidus, Oxford press

54) Dynamics of complex systems, Y. Bar-Yam, Addison-Wesley

55) Quantum entropy and its use, M. Ohya and D. Petz, Springer Verlag

56) Celestial Mechanics, H. Pollard, MAA

57) Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics,
D. H. Sattinger and O. L. Weaver, Springer

58) Tensors, Relativity, and Cosmology,
Mirjana Dalarsson and Nils Dalarsson, Academic Press

59) The Mathematical Theory of Black Holes, S. Chandrasekhar,
Oxford Press

60) Techniques and Applications of Path Integration,
L. S. Schulman, Dover

61) The Elements of Mechanics,
G. Gallavotti, Springer

62) The Statistical mechanics of Lattice Gases, B. Simon,
Princeton Press

63) Spectral Functions in Mathematics and Physics,
Klaus Kirsten, CRC

64) Determinants and Their Applications in Mathematical Physics,
Robert Vein and  Paul Dale, Springer

65) Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces, Iu. I. Manin, Ams

66) An Introduction to String Theory and D-Brane Dynamics
by Richard J. Szabo, Imperial College Press

69) Topics in Quantum Mechanics, Floyd L. Williams, Birkhauser

75) Random Matrices, Frobenius Eigenvalues and Monodromy, Nicholas M. Katz and Peter Sarnak, AMS

76) Quantum symmetries on operator algebras, D. evans, Oxford Press

77) Classical Mechanics with Maple, Ronald L. Greene,
Springer-Verlag

78)Foundations of Classical Electrodynamics, Charge, Flux, and Metric,
F. W. Hehl and Y. N. Obukhov, Birkhauser

79) The analytical foundations of celestial mechanics, A. Wintner, Princeton Univ. Press.

80) Mathematical Quantization, N. Weaver,
Chapman & Hall/CRC

81) Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory, Roberto Fernandez, Jurg Frohlich and Alan D. Sokal, Springer Verlag

82) The Road to Reality: A Complete Guide to the Laws of the Universe,
Roger Penrose, Knopf Ed.

83) String Theory, Vol. 1 and 2 , Joseph Polchinski, Cambridge Press

84) Mathematical topics between classical and quantum mechanics, N. Landsman, Springer Verlag

85) Lectures on Quantum Theory: Mathematical and Structural Foundations, Chris J. Isham, World Scientific Pub Co.

86) Lagrangian Manifolds and the Maslov Operator, Aleksandr Sergeevich Mishchenko, V.E. Shatalov and B. Yu Sternin, Springer

87) Dynamical Systems and Cosmology, A.A. Coley, Springer

88) Quantum Mechanics Using Maple,
Marko Horbatsch, Springer-Verlag

89) Mathematica for Theoretical Physics: Electrodynamics, Quantum Mechanics, General Relativity, and Fractals,
Gerd Baumann, Springer

90) Mathematica for Theoretical Physics: Classical Mechanics and Nonlinear Dynamics,
Gerd Baumann, Springer

Teoria da Informação e Computação

1) The Mathematics of Coding Theory, Paul Garrett, Prentice Hall

2) The theory of information and coding, R. J. McEliece, Cambridge University Press

3) Computability, Complexity, and Languages: Fundamentals of Theoretical Computer Science,
Martin Davis, Ron Sigal and Elaine J. Weyuker,
Academic Press;

4) Finite fields, coding theory and advances in communications and computing, Gary L. Mullen and  Peter Jau-Shyong Shiue, ed. Marcel Dekker

5) Coding and Information Theory, Steven Roman, Springer

6) A Course in Number Theory and Cryptography, N. Koblitz, Springer

7) Elliptic Curves in Cryptography,
I. Blake, G. Seroussi and  N. Smart, Cambridge

8) Probability Models for Computer Science,
Sheldon M. Ross, Academic Press

9) Introduction to Coding Theory,
Jacobus Hendricus Van Lint, Springer

10) Number Theory for Computing,
Song Y. Yan, Springer

11) Elliptic Curves: Number Theory and Cryptography,
Lawrence C. Washington,
CRC

12) Complexity and Real Computation,
Lenore Blum, Felipe Cucker, Michael Shub and  Steve Smale, Springer

13) Computability theory, S. B. Cooper, CRC Press

14) Modern Cryptography, Probabilistic Proofs and Pseudorandomness, Oded Goldreich, Springer

15) Computation and Automata, Arto Salomaa, Cambridge

16) Abstract Methods in Information Theory, Y. Kakihara, World Scientific

17) Entropy and information theory, R, M. Gray, Springer-Verlag

18) An Introduction to Kolmogorov Complexity and Its Applications,
Ming Li and P. M. B. Vitanyi, Springer

19) Quantum computation and quantum information, M. Nielsen and I. Chuang, Cambridge Uni- versity Press,

20) Information and randomness: an algorithmic perspective, C. Calude, Springer

21) A probabilistic theory of pattern recognition, L Levroye, Springer

22) Classical and quantum computation, A Kitaev, AMS

23) A Probabilistic Theory of Pattern Recognition,
Luc Devroye, Laszlo Gyorfi and  Gabor Lugosi, Springer

24) Mathematics of Quantum Computation,
Ranee K. Brylinski, Goong Chen, Crc press

25) An Introduction to Formal Languages and Automata,
Peter Linz, Jones & Bartlett Publishers

26) Quantum Computing,
Mika Hirvensalo Springer

27) Logic for computer scientists, U. Schoning, Birkhäuser,

28) Complexity Theory of Real Functions,
Ker-I Ko, Birkhauser

29) Cryptography: Theory and Practice, Douglas R. Stinson, Chapman & Hall

30) Computability, Complexity, and Languages: Fundamentals of Theoretical Computer Science, Martin Davis, Ron Sigal and Elaine J. Weyuker, Academic press

31) Probability, Stochastic Processes, and Queueing Theory: The Mathematics of Computer Performance Modeling,
Randolph Nelson, Springer

32) Pattern Recognition and Machine Learning, C. M. Bishop, Springer

33) Algebraic automata theory, W. Holcombe, Cambridge University Press

34) Discrete Mathematics with Graph Theory,
Edgar G. Goodaire and Michael M. Parmenter, Prentice Hall

35) Graph Theory Applications, L. R. Foulds, Springer

36)Automata Theory and its Applications, B. Khoussainov and A. Nerode, Birkhauser

37) Statistical methods for speech recognition, F. Jelinek, MIT Press

Biologia Matemática e Bioestatística

1) Essential Mathematical Biology,
Nicholas F. Britton, Springer

2) Mathematical Biology I and II, J.D. Murray,
Springer

3) Differential Equations and Mathematical Biology,
D. S. Jones and  B. D. Sleeman Chapman & Hall

4) Evolution and the Theory of Games,
John Maynard Smith, Cambridge

5) Mathematical Models in Biology: An Introduction,
Elizabeth S. Allman and John A. Rhodes, Cambridge

6) Mathematical Biology: An Introduction with Maple and Matlab
Ronald W. Shonkwiler and James Herod, Springer

7) Biostatistical Analysis,
Jerrold H. Zar, Prentice Hall

8) Statistical Methods in Bioinformatics,
Warren J. Ewens, Gregory R. Grant, Springer

9) A Course in Applied Stochastic Processes, A. Goswami and B. V. Rao, AMS

10) Fundamentals of Clinical Trials,
Lawrence M. Friedman, Curt Furberg and  David L. Demets,
Springer-Verlag

11) Evolutionary Games and Population Dynamics,
Josef Hofbauer and Karl Sigmund, Cambridge

12) Modeling and Simulation in Medicine and the Life Sciences,
Frank C. Hoppensteadt and Charles S. Peskin, Springer

13) Virus Dynamics: Mathematical Principles of Immunology and Virology, Martin A. Nowak and Robert M. May, Oxford University Press

14) Mathematical and Statistical Methods for Genetic Analysis, Kenneth Lange, Springer

15) Statistics in Drug Research: Methodologies and Recent Developments,
Shein-Chung Chow and Jun Shao, Marcel Dekker

16) Mathematics of Genome Analysis, Jerome K. Percus, Cambridge

17) Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems, P. Dayan and L. F. Abbott, The MIT Press

18) Biological Sequence Analysis : Probabilistic Models of Proteins and Nucleic Acids,
Richard Durbin, Sean R. Eddy, Anders Krogh and Graeme Mitchison,
Cambridge

19) Biostatistics: A Bayesian Introduction,
George G. Woodworth, Wiley

20) Probability Models for DNA Sequence Evolution,
Richard Durrett, Springer

21) Applying Maths in the Chemical and Biomolecular Sciences: An Example-Based Approach, G. Beddard, Oxford press

22) Introduction to statistical methods in modern genetics, M. Yang, ed. Gordon and Breach

23) Stochastic Models with Applications to Genetics, Cancers, AIDS and Other Biomedical Systems, Tan Wai-Yuan, World Scientific

24) Design and Analysis of Clinical Experiments, Joseph L. Fleiss,
Wiley

25) Foundations of cellular neurophysiology, D. Johnston, Cambridge,

26) An introduction to the mathematics of neurons,
F. C. Hoppensteadt, Cambridge

27) Mathematical physiology, J. Keener, Springer

28) Foundations of Mathematical Biology, Robert Rosen
Academic Press

29) Computational Biology,
Ralf Blossey, CRC Press

30) Physiological Control Systems: Analysis, Simulation, and Estimation, Michael C. K. Khoo, Wiley

31) Probability models and statistical methods in genetics, R. Elandt-Johnson and N. Johnson, John Wiley

32) Brain Dynamics, H. Haken, Springer

33) Introduction to neural dynamics and signal transmission delay, J. Wu, Ed. Walter de Gruyter

34) Enzyme Mathematics, Jean Pierre Kernevez, North Holland

35) Hidden Markov Models of Bioinformatics, T. Koski, Springer

36) Modeling Dynamic Phenomena in Molecular and Cellular Biology, Lee Segel, Cambridge University Press

37) Regression Methods in Biostatistics: Linear, Logistic, Survival, and Repeated Measures Models,
Eric Vittinghoff, David V. Glidden, Stephen C. Shiboski and Charles E. McCulloch, Springer

38) Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting, E. M. Izhikevich, The MIT Press

39) Molecular Biophysics: Structures in Motion,
Michel Daune, Oxford University Press

40) Protein Structure Prediction: Bioinformatic Approach, Igor F. Tsigelny, International University Line

41) Biological Physics: Energy, Information, Life, P. Nelson, Ed. W. H. Freeman

42) Thermodynamics and Kinetics for the Biological Sciences, G. G. Hammes, Wiley

43) Fractal Physiology and Chaos in Medicine,
Bruce J. West, World Scientific

Economia Matemática

1) Mathematics for Economists,
Carl P. Simon and Lawrence Blume, W. W. Norton & Company

2) Microeconomic Analysis,
Hal R. Varian, W. W. Norton & Company

3) Microeconomic Theory,
Andreu Mas-Colell, Michael D. Whinston and Jerry R. Green, Oxford press

4) Advanced Macroeconomics,
David Romer, McGraw Hill

5) Probability Theory and Statistical Inference: Econometric Modeling with Observational Data,
Aris Spanos, Cambridge University Press

6) Statistical Foundations of Econometric Modelling,
Aris Spanos, Cambridge University Press

7) Econometric Analysis,
William H. Greene, Prnetice Hall

8) Mathematical Optimization and Economic Theory, Michael D. Intriligator, SIAM

9) Time Series Models for Business and Economic Forecasting, Philip Hans Franses, Cambridge University Press

10) Game Theory,
Drew Fudenberg and Jean Tirole, The MIT Press;

11) Elementary Stochastic Calculus With Finance in View, Thomas Mikosch, World scientific

12) Methods of Mathematical Finance,
Ioannis Karatzas and Steven E. Shreve, Springer

13) Life Insurance Mathematics,
Hans U. Gerber, Springer

14) Statistical Size Distributions in Economics and Actuarial Sciences, Christian Kleiber, Wiley

15) Mathematical Methods in Risk Theory,
H. Buhlmann, Springer

16) Statistics of Financial Markets: An Introduction, J. Franke, W. K. Härdle and C. M. Hafner, Springer

17) Essentials of Stochastic Finance: Facts, Models, Theory Albert N. Shiriaev World Scientific

18) Mathematics of Financial Markets,
Robert James Elliott and P. Ekkehard Kopp, springer

19) Pricing and Hedging of Derivative Securities,
L. T. Nielsen, Oxford press

20) An Introduction to Wavelets and Other Filtering Methods in Finance and Economics, Ramazan Gençay, Faruk Selçuk and  Brandon Whitcher, Academic press

21) Game Theory: Analysis of Conflict,
Roger B. Myerson, Harvard Univ Press

22) Notes on the Theory of Choice,
David M. Kreps, Westview Press

23) Martingale Methods in Financial Modelling,
Marek Musiela and Marek Rutkowski, Springer

24) Arbitrage Theory in Continuous Time,
Tomas Bjork, Oxford press

25) Analysis of Financial Time Series,
Ruey S. Tsay, Wiley

26) Advances in Markov-Switching Models: Applications in Business Cycle Research and Finance,
James D. Hamilton and Baldev Raj, Physica-verlag

27) Credit Scoring & Its Applications,
L. C. Thomas, Jonathan Crook, David Edelman and Lyn Thomas, SIAM

28) Value-at-Risk: Theory and Practice,
Glyn A. Holton, Academic Press

29) Financial Modelling with Jump Processes,
Rama Cont and Peter Tankov, CRC Press

30) Engineering Economy,
Leland T Blank, Anthony Tarquin and Leland Blank, Mc Graw-Hill

31) Optimization in Economic Theory,
Avinash K. Dixit, Oxford University Press

32) Computational Financial Mathematics using Mathematica,
Srdjan Stojanovic, Birhauser

33) Computational Economics and Finance: Modeling and Analysis with Mathematica, Hal R. Varian, Springer