Mathematical Physics

力学，赵凯华和罗蔚茵编写的《新概念物理教程》力学部分
高等教育出版社
热学，赵凯华和罗蔚茵编写的《新概念物理教程》热学部分。
高等教育出版社
电磁学，赵凯华和陈熙谋编写的《电磁学》，高等教育出版社。
光学，赵凯华和钟锡华编写的《光学》，北京大学出版社

量子力学：曾谨言，《量子力学教程》，高等教育出版社出版
电动力学：郭硕鸿，《电动力学》，高等教育出版社出版。
理论力学：周伯衍, 《理论力学教程》高等教育出版社。
热力学与统计物理：汪志诚，《热力学与统计物理》，高等教育出版社出版。

谷超豪,李大潜,谭永基(?),沈纬熙,秦铁虎,是嘉鸿”数学物理方程”(上海科技) 

谷超豪,李大潜,陈恕行,谭永基(?), Ｋ文*,??? “数学物理方程”(人民教育?高等教育?) 

陈恕行,秦铁虎 “数学物理方程–方法导引” 

R. Courant, D. Hilbert “数学物理方法”(I,II) 

彼得罗夫斯基 “偏微分方程讲义” 

AMS Notice, vol. 44(1997), No.4, p.432 

AMS Notice, vol. 46(1999), No.10,p.1217 

O.A. Ladyzhenskaya “The Boudary Value Problems of Mathematical Physics” 

李大潜,秦铁虎 “物理学与偏微分方程”(高教) 

L.Bers, F. John, M. Scheter, “Partial Differential Equations” 

L.Steen, ed. “今日数学”(Mathematics Today) 

F. John “Partial Differential Equations” 

J. Rauch “Partial Differential Equations”(GTM128) 

M. Taylor “Partial Differential Equations I”(Applied Mathematical Sciences 115) 

L. Hormander “Linear Partial Differential Operators, I” 

伯克利物理教程或者Halliday和Resnick的physics（有中译版）。

当然了，还有大名鼎鼎Feynman的Feynman Lectures On Physics，

科学出版社新出的那套科大物理教材，是把普物和四大力学打通的上的。

科大的四大力学教材中沈惠川老师的《经典力学》，张永德老师的《量子力学》都是国内同类教材中最好的。

李书民，em   

科大老师还编过一本《大学物理解题诠释》，

大可去做《物理学大题典》7卷够你啃的。

符拉基米诺夫《偏微分方程习题集》

Landau,Mechanics(有中文版)

Goldstein,Classical Mechanics(有中文版)

Landau,The Classical Theory of Fields(有中文版)

Jackson,Classical Electrodynamics(有中文版)

Landau,Statistical Physics Part1(有中文版)

Kerson Huang,Statistical Mechanics

Landau,Quantum Mechanics(Non-relatisticTheory)(有中文版)

Greiner,Quantum Mechanics:A Introduction(有中文版)

黄昆《固体物理学》

Kittel,Introduction to Solid State Physics(有中文版)

费曼《费曼物理讲义》

玻恩《光学原理》

郑永令《力学》复旦大学出版社

张玉民《基础物理学教程———热学》中国科学技术大学出版社

胡有秋《电磁学》高等教育出版社

郭光灿《光学》高等教育出版社

徐克尊《近代物理学》高等教育出版社

漆安慎《力学》高等教育出版社

秦允豪《热学》高等教育出版社

赵凯华《电磁学》高等教育出版社

赵凯华《光学》高等教育出版社

杨福家《原子物理学》高等教育出版社

中国科大物理教研室《美国物理试题汇编》中国科学技术大学出版社

陈希孺《数理统计学教程》上海科技出版社

陈家鼎《数理统计学讲义》高等教育出版社

陆璇《数理统计基础》清华大学出版社

中国科学技术大学统计与金融系《数理统计习题集》中国科学技术大学讲义

金尚年《经典力学》复旦大学出版社

Landau，Mechanics，Heinemann

郭硕鸿《电动力学》（第二版）高等教育出版社

Jackson，Classical Electrodynamics

汪志诚《热力学?统计物理》高等教育出版社

Landau，Statistical Physics Part1，Heinemann 

张永德《量子力学讲义》中国科学技术大学讲义

Landau，Quantum Mechanics (Non-relatisticTheory)，Heinemann

希尔伯特和柯朗的《数学物理方法》。

梁昆淼，郭敦仁和王竹溪的书

绿皮的《力学与热学》的上。热学选《力学与热学》的下。

赵凯华的《电磁学》。

赵凯华的《光学》，

朗道的《经典力学》。

郭硕鸿的《电动力学》就可以了，看

JACKSON的书需要很好的数学基础，关键是对位势形偏微分方程有相当的了解。

P.A.M DIRAC在1937年写过著名的《量子力学的原理》。

曾谨言的《量子力学I，II》和《量子力学习题集》。

有一本《Quan-tum Physics》对此详细地进行了讨论。

卢里的《粒子与场》。

如果对凝聚态理论感兴趣，你可以学统计力学。以朗道的书为上。

雷克老太太的《现代统计物理教程》。

黄昆的《固体物理》，这本书很好理解。

孙洪洲的《群论》就足够了。群论的内容大致是有限群和连续群两部份，前一部份和晶体的对称性直接相关，后一部份和角动量理论有关，学凝聚态的人做含有d或f电子的紧束缚方法时自然会用到。

马汉的《多粒子问题》（该有中译本了）或者

北大的《固体物理中格林函数方法》。

卡拉威的《固体理论》。

赵凯华的《光学》

量子光学的麻烦在于边界条件，一般量子场论的边界很简单，而量子光学就不是了。一个有限体系的量子光学性质是很有意思的问题。比如微腔中的光吸收和发射以及由此引申出的光子晶体中的若干问题。这里要分清光子晶体和人工电介质。光子晶体中存在量子效应，而人工电介质中没有。所以一个有三维人工周期机构工作在微波波段的陶瓷算不上光子晶体，只是人工电介质。

如果对核物理感兴趣，那我建议你多看看角动量理论或者群论的书。

实变函数和泛函分析的书最好的当属《REAL AND ABSTRACT ANALYSIS》

为了准备学微分几何，还要学一些拓朴和代数。

代数: 蓝以中的《高等代数教程》，

拓朴可以看《拓朴学基础》

陈维桓的《微分几何基础》

陈省身的《微分几何》了。

《数学物理中的微分形式》，

不过我建议找一本以特殊函数为工具，介绍李群的书。看过以后你就知道Bessel函数等那些在数理方法中学过的东西是何等重要。它们直接是对称性的反映，只不过那时你还小并没有认识这一点。学过这以后你知道量子力学真正关心的是什么了。原来量子力学做来做去是一种关于对称的理论。在这一理论中作为群的表示的基的波函数是次要的，而群本身和代表它的特征值才重要，而这些被物理量正是特征值。

融合量子论和广义相对论的方法，

” Advanced mathematical methods for scientists and engineers “，作者是Bender和Ozszag。是学习渐进方法(asymtotic 和 perturbation)的好书,从局部分析开始到全局分析,非常深入浅出

《数理统计学教程》陈希孺

《数理统计学讲义》陈家鼎

《数理统计基础》陆璇

《数理统计》赵选民

《数理统计习题集》中国科学技术大学统计与金融系

《Basic Partial Differential Equations》, D. Bleecker, G. Csordas 著, 李俊杰译，高等教育出版社，2008.

《数学物理方法》，柯朗、希尔伯特著。

费曼物理讲义

郎道的理论物理教程。

姜礼尚《数学物理方程讲义》高等教育出版社

《数学物理方程》谷超豪，李大潜等

《数学物理方程》柯朗

《数学物理方法》梁昆淼

《数学物理方程习题集》弗拉基米洛夫

General Physics

1. M.S. Longair: Theoretical concepts in physics, 1986.
2. Arnold Sommerfeld: Lectures on Theoretical Physics
3. Richard Feynman: The Feynman lectures on Physics (3 vols)
4. Jearle Walker: The Flying Circus of Physics
5. There is the entire Landau and Lifshitz series.  
6. The New Physics edited by Paul Davies.
   
7. Richard Feynman: The Character of Physical Law
8. David Mermin: Boojums all the way through: Communicating science in prosaic language
9. Frank Wilczek and Betsy Devine: Longing for the Harmonies: Themes and variations from modern physics
10. 10.Greg Egan: Permutation City
    

Classical Mechanics

1. Herbert Goldstein: Classical Mechanics, 2nd ed, 1980.
2. Introductory: The Feynman Lectures, vol 1.
3. Keith Symon: Mechanics, 3rd ed., 1971 undergrad. level
4. H. Corbin and P. Stehle: Classical Mechanics, 2nd ed., 1960
5. V.I. Arnold: Mathematical methods of classical mechanics, translated by K. Vogtmann and A. Weinstein, 2nd ed., 1989. 
6. R. Resnick and D. Halliday: Physics, vol 1, 4th Ed., 1993
7. Marion & Thornton: Classical Dynamics of Particles and Systems, 2nd ed., 1970.
8. A. Fetter and J. Walecka: Theoretical mechanics of particles and continua
9. Kiran Gupta: Classical Mechanics of Particles and Rigid Bodies (1988)
   

Classical Electromagnetism

1. Jackson: Classical Electrodynamics, 2nd ed., 1975
2. Purcell: Berkeley Physics Series Vol 2.
3. Chen, Min, Berkeley Physics problems with solutions.
4. Reitz, Milford and Christy: Foundations of Electromagnetic Theory 4th ed., 1992
5. Feynman: The Feynman Lectures, Vol. 2
6. Lorrain & Corson: Electromagnetism, Principles and Applications, 1979
7. Resnick and Halliday: Physics, vol 2, 4th ed., 1993
8. Igor Irodov: Problems in Physics 
9. William Smythe: Static and Dynamic Electricity, 3rd ed., 1968
10. 10.Landau, Lifshitz, and Pitaevskii: Electrodynamics of Continuous Media, 2nd ed., 1984
11. 11.Marion and Heald: Classical Electromagnetic Radiation, 2nd ed., 1980 
    

Quantum Mechanics

1. QED: The strange theory of light and matter Richard Feynman.
2. Cohen-Tannoudji: Quantum Mechanics I & II&, 1977.
3. Liboff: Introductory Quantum Mechanics, 2nd ed., 1992
4. Sakurai: Modern Quantum Mechanics, 1985
5. Sakurai: Advanced Quantum Mechanics 1967
6. J. Wheeler and W. Zurek (eds.): Quantum Theory and Measurement, 1983
7. C. DeWitt and N. Graham: The Many Worlds Interpretation of Quantum Mechanics
8. H. Everett: Theory of the Universal Wavefunction
9. Bjorken and Drell: Relativistic Quantum Mechanics/ Relativistic Quantum Fields
10. 10.Ryder: Quantum Field Theory, 1984
11. 11.Guidry: Gauge Field Theories: an introduction with applications 1991
12. 12.Messiah: Quantum Mechanics, 1961
13. 13.Dirac: 
    a] Principles of QM, 4th ed., 1958
    b] Lectures in QM, 1964
    c] Lectures on Quantum Field Theory, 1966
14. 14.Itzykson and Zuber: Quantum Field Theory, 1980
15. 15.Slater: Quantum theory: Address, essays, lectures.
    note: Schiff, Bjorken and Drell, Fetter and Walecka, and Slater are all volumes in “International Series in pure and Applied Physics” published by McGraw-Hill.
16. 16.Pierre Ramond: Field Theory: A Modern Primer, 2nd edition. Volume 74 in the FiP series.
17. 17.Feynman: The Feynman Lectures, Vol. 3
18. 18.Heitler & London: Quantum theory of molecules
19. 19.J. Bell: Speakable and Unspeakable in Quantum Mechanics, 1987
20. 20.Milonni: The quantum vacuum: an introduction to quantum electrodynamics 1994.
21. 21.Holland: The Quantum Theory of Motion
22. 22.John von Neumann: Mathematical foundations of quantum mechanics, 1955. 
23. 23.Schiff: Quantum Mechanics, 3rd ed., 1968
24. 24.Eisberg and Resnick: Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, 2nd ed., 1985. 
25. 25.David Saxon: Elementary Quantum Mechanics
26. 26.Bethe and Jackiw: Intermediate Quantum Mechanics
27. 27.P.W.Atkins: Quanta: A Handbook of concepts
28. 28.James Peebles: Quantum Mechanics (1993)
    

Statistical Mechanics and Entropy

1. David Chandler: Introduction to Modern Statistical Mechanics, 1987
2. R. Tolman: Prinicples of Statistical Mechanics. Dover
3. Kittel & Kroemer: Statistical Thermodynamics
4. Reif: Principles of statistical and thermal physics.
   
5. Felix Bloch: Fundamentals of Statistical Mechanics.
6. Radu Balescu: Statistical Physics
7. Abrikosov, Gorkov, and Dyzaloshinski: Methods of Quantum Field Theory in Statistical Physics
8. Huw Price: Time’s Arrow and Archimedes’ Point
9. Thermodynamics, by H. Callen.
10. 10.Statistical Mechanics, by R. K. Pathria
11. 11.Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions, by D. Forster
12. 12.Introduction to Phase Transitions and Critical Phenomena, by H. E. Stanley
13. 13.Modern Theory of Critical Phenomena, by S. K. Ma
14. 14.Lectures on Phase Transitions and the Renormalization Group, by N. Goldenfeld

Condensed Matter

1. Charles Kittel: Introduction to Solid State Physics (ISSP),
2. Ashcroft and Mermin: Solid State Physics,
3. Charles Kittel: Quantum Theory of Solids.
4. Solid State Theory, by W. A. Harrison 
5. Theory of Solids, by Ziman.
6. Fundamentals of the Theory of Metals, by Abrikosov
7. Many-Particle Physics, G. Mahan.
   

Special Relativity

1. Taylor and Wheeler: Spacetime Physics Still the best introduction out there.
2. Relativity: Einstein’s popular exposition.
3. Wolfgang Rindler: Essential Relativity.  Springer 1977
4. A.P. French: Special Relativity
5. Abraham Pais: Subtle is the Lord: The Science and Life of Albert Einstein
6. Special Relativity and its Experimental Foundations Yuan Zhong Zhang
   

Particle Physics

1. Kerson Huang: Quarks, leptons & gauge fields, World Scientific, 1982.
2. L. B. Okun: Leptons and quarks, translated from Russian by V. I. Kisin, North-Holland, 1982.
3. T. D. Lee: Particle physics and introduction to field theory.
4. Itzykson: Particle Physics
5. Bjorken & Drell: Relativistic Quantum Mechanics
6. Francis Halzen & Alan D. Martin: Quarks & Leptons,
7. Donald H. Perkins: Introduction to high energy physics
8. Close, Marten, and Sutton: The Particle Explosion 
9. Christine Sutton: Spaceship Neutrino
10. 10.Mandl, Shaw: Quantum Field Theory
11. 11.F.Gross: Relativistic Quantum Mechanics and Field Theory
12. 12.S. Weinberg: The Quantum Theory of Fields, Vol I,II, 1995 
13. 13.M.B. Green, J.H. Schwarz, E. Witten: Superstring Theory (2 vols)
14. 14.M. Kaku: Strings, Conformal Fields and Topology
15. 15.Superstrings: A Theory of Everything ed P.C.W. Davies
16. 16.A Pais: Inward Bound 
17. 17.R.P. Crease, C.C. Mann: The Second Creation 1996
18. 18.L. Lederman, D. Teresi: The God Particle: If the Universe Is the Answer, What Is the Question? 2006
    

General Relativity

1. Meisner, Thorne and Wheeler: Gravitation W. H. Freeman & Co., San Francisco 1973
2. Robert M. Wald: Space, Time, and Gravity: the Theory of the Big Bang and Black Holes.
3. Schutz: A First Course in General Relativity.
4. Weinberg: Gravitation and Cosmology 
5. Hans Ohanian: Gravitation & Spacetime (recently back in print)
6. Robert Wald: General Relativity
7. Clifford Will: Was Einstein Right? Putting General Relativity to the Test
8. Kip Thorne: Black Holes and Time Warps: Einstein’s Outrageous Legacy
   

Mathematical Methods

1. Morse and Feshbach: Methods of Theoretical Physics.  
2. Mathews and Walker: Mathematical Methods of Physics.  An absolute joy for those who 
3. Arfken: Mathematical Methods for Physicists Academic Press
4. Zwillinger: Handbook of Differential Equations. Academic Press
5. Gradshteyn and Ryzhik: Table of Integrals, Series, and Products Academic
6. F.W. Byron and R. Fuller: Mathematics of Classical and Quantum Physics (2 vols) 
   

Nuclear Physics

1. Preston and Bhaduri: Structure of the Nucleus
2. Blatt and Weisskopf: Theoretical Nuclear Physics
3. DeShalit and Feshbach: Theoretical Nuclear Physics
4. Satchler: Direct Nuclear Reactions
5. Walecka: Theoretical Nuclear and Subnuclear Physics (1995)
6. Krane: Introductory nuclear physics
   

Cosmology

1. J. V. Narlikar: Introduction to Cosmology.1983 Jones & Bartlett Publ.
2. Hawking: A Brief History of Time 
3. Weinberg: First Three Minutes
4. Timothy Ferris: Coming of Age in the Milky Way and The Whole Shebang
5. Kolb and Turner: The Early Universe.
6. Peebles: Principles of Physical Cosmology. Comprehensive, and on the whole it’s quite a 
7. Black Holes and Warped Spacetime, by William J. Kaufmann III.
8. M.V. Berry: Principles of Cosmology and Gravitation
9. Dennis Overbye: Lonely Hearts of the Cosmos The unfinished history of converge on 
10. 10.Joseph Silk: The Big Bang
11. 11.Bubbles, voids, and bumps in time: the new cosmology edited by James Cornell.
12. 12.T. Padmanabhan: Structure formation in the universe
13. 13.P.J.E. Peebles: The large-scale structure of the universe
14. 14.Andrzej Krasinski: Inhomogeneous Cosmological Models
15. 15.Alan Lightman and Roberta Brawer: Origins: The lives and worlds of modern cosmologists, 1990

Astronomy

1. Hannu Karttunen et al. (eds.): Fundamental Astronomy.
2. Pasachoff: Contemporary Astronomy
3. Frank Shu: The physical universe: an introduction to astronomy
4. Kenneth R. Lang: Astrophysical formulae: a compendium for the physicist and astrophysicist
   

Plasma Physics

(See Robert Heeter’s sci.physics.fusion FAQ for details)

Numerical Methods/Simulations

1. Johnson and Rees: Numerical Analysis Addison Wesley
2. Numerical Recipes in X (X=c,fortran,pascal,etc) Tueklosky and Press
3. Young and Gregory: A survey of Numerical Mathematics Dover 2 volumes.
4. Hockney and Eastwood: Computer Simulation Using Particles Adam Hilger
5. Birdsall and Langdon: Plasma Physics via Computer Simulations
6. Tajima: Computational Plasma Physics: With Applications to Fusion and Astrophysics Addison Wesley Frontiers in physics Series.
   

Fluid Dynamics

1. D.J. Tritton: Physical Fluid Dynamics
2. G.K. Batchelor: Introduction to Fluid Dynamics
3. S. Chandrasekhar: Hydrodynamics and Hydromagnetic Stability
4. Segel: Mathematics Applied to Continuum Mechanics Dover.

Nonlinear Dynamics, Complexity, and Chaos

There is a FAQ posted regularly to sci.nonlinear.

1. Prigogine: Exploring Complexity
2. Guckenheimer and Holmes: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields Springer
3. Lichtenberg, A. J. and M. A. Lieberman (1982): Regular and Stochastic Motion.  New York, Springer-Verlag.
4. Ioos and Joseph: Elementary Stability and Bifurcation Theory.  New York, Springer.
5. Heinz Pagels: The Dreams Of Reason
6. M. Mitchell Waldrop: Complexity
   

Optics (Classical and Quantum), Lasers

1. Max Born and Emil Wolf: Principles of Optics: Electromagnetic Theory of Propagation
   Standard reference.
2. Sommerfeld: For the more classically minded.
3. Allen and Eberly: Optical Resonance and Two-Level Atoms.
4. Goodman: Introduction to Fourier Optics.
5. Quantum Optics and Electronics (Les Houches Summer School 1963 or 1964, but someone has claimed that Gordon and Breach, NY, are going to republish it in 1995), 
6. Sargent, Scully, & Lamb: Laser Physics
7. Yariv: Quantum Electronics
8. Siegman: Lasers
9. Shen: The Principles of Nonlinear Optics
10. 10.Meystre & Sargent: Elements of Quantum Optics
11. 11.Cohen-Tannoudji, Dupont-Roc, & Grynberg: Photons, Atoms and Atom-Photon Interactions.
12. 12.Hecht: Optics 
13. 13.Practical Holography by Graham Saxby, Prentice Hall: New York; 1988.

Mathematical Physics

1. Yvonne Choquet-Bruhat, Cecile DeWitt-Morette, and Margaret Dillard-Bleick: Analysis, manifolds, and physics (2 volumes)
2. Jean Dieudonne: A panorama of pure mathematics, as seen by N. Bourbaki, translated by I.G. Macdonald.
3. Robert Hermann: Lie groups for physicists, Benjamin-Cummings, 1966.
4. George Mackey: Quantum mechanics from the point of view of the theory of group representations, Mathematical Sciences Research Institute, 1984.
5. George Mackey: Unitary group representations in physics, probability, and number theory.
6. Charles Nash and S. Sen: Topology and geometry for physicists.
7. B. Booss and D.D. Bleecker: Topology and analysis: the Atiyah-Singer index formula and gauge-theoretic physics.
8. Bamberg and S. Sternberg: A Course of Mathematics for Students of Physics
9. Bishop & Goldberg: Tensor Analysis on Manifolds.
10. 10.Flanders: Differential Forms with applications to the Physical Sciences.
11. 11.Dodson & Poston: Tensor Geometry.
12. 12.von Westenholz: Differential forms in Mathematical Physics.
13. 13.Abraham, Marsden & Ratiu: Manifolds, Tensor Analysis and Applications.
14. 14.M. Nakahara: Topology, Geometry and Physics.
15. 15.Morandi: The Role of Topology in Classical and Quantum Physics
16. 16.Singer, Thorpe: Lecture Notes on Elementary Topology and Geometry
17. 17.L. Kauffman: Knots and Physics, World Scientific, Singapore, 1991.
18. 18.C. Yang and M. Ge: Braid group, Knot Theory & Statistical Mechanics.
19. 19.D. Kastler: C-algebras and their applications to Statistical Mechanics and Quantum Field Theory.
20. 20.Courant and Hilbert: Methods of Mathematical Physics Wiley
21. 21.Cecille Dewitt is publishing a book on manifolds that should be out soon (maybe already 
22. 22.Howard Georgi: Lie Groups for Particle Phyiscs Addison Wesley Frontiers in Physics Series.
23. 23.Synge and Schild.

Atomic Physics

1. Max Born: Atomic Physics
2. Gerhard Herzberg: Atomic spectra and atomic structure, Translated with the co-operation 
3. E. U. Condon and G. H. Shortley: The theory of atomic spectra, CUP 1951
4. G. K. Woodgate: Elementary atomic structure, 2d ed. Oxford: New York: Clarendon Press, Oxford University Press, 1983, c 1980
5. Alan Corney: Atomic and laser spectroscopy, Oxford, New York: Clarendon Press, 1977
   

Low Temperature Physics, Superconductivity

1. The Theory of Quantum Liquids, by D. Pines and P. Nozieres
2. Superconductivity of Metals and Alloys, P. G. DeGennes A classic introduction.
3. Theory of Superconductivity, J. R. Schrieffer
4. Superconductivity, M. Tinkham
5. Experimental techniques in low-temperature physics, by Guy K. White.
   This is considered by many as a “bible” for those working in experimental low-temperature physics.

Mathematical Physics

Mechanics, Zhao, kaihua and Luo Weiyin, prepared by the new concept physics tutorial mechanics
Higher education press
Thermal, Zhao, kaihua and Luo Weiyin prepared by the thermal part of the new concept physics.
Higher education press
Electromagnetism, prepared by Zhao, kaihua and Chen Ximou of the electromagnetics, higher education press.
Optics, prepared by Zhao, kaihua and Zhong Xihua of the optics, Peking University Press

Quantum mechanics: careful, the course in quantum mechanics, the higher education press
Electrodynamics: Guo Shuohong, the electrodynamics of higher education publishing.
Theoretical mechanics: Zhou Boyan , Higher education press of the course of theoretical mechanics. 
Thermodynamics and statistical physics: Wang Zhicheng, the thermodynamics and statistical physics, higher education press.

Gu chaohao , Li Daqian , Tan Yongji (?), Shen Wei Xian , Qin tiehu , Is jiahong ” Equations of mathematical physics “( The Shanghai Science and technology)

Gu chaohao , Li Daqian , Chen shuxing , Tan Yongji (?), K *,??? ” Equations of mathematical physics “( people’s education ? Higher education?)

Chen shuxing , Qin tiehu ” Equations of mathematical physics — Method guidance”

R.Courant,D.Hilbert” methods of mathematical physics ” (I, II)

Petrovsky ” Lectures on partial differential equations”

AMS Notice, vol. 44(1997), No.4, p.432

AMS Notice, vol. 46(1999), No.10,p.1217

O.A. Ladyzhenskaya “The Boudary Value Problems of Mathematical Physics”

Li Daqian , Qin tiehu ” Physics and partial differential equations “( Higher education)

L.Bers, F. John, M. Scheter, “Partial Differential Equations”

L.Steen, ed. ” Mathematics today “(Mathematics Today)

F. John “Partial Differential Equations”

J. Rauch “Partial Differential Equations”(GTM128)

M. Taylor “Partial Differential Equations I”(Applied Mathematical Sciences 115)

L. Hormander “Linear Partial Differential Operators, I”

Berkeley Physics or Halliday Resnick physics (Translated version).

Of course, there is the famous Feynman Feynman Lectures On Physics ,

Science Press new set of University physics textbooks, is a general and four mechanics on the side through.

HKUST four Shen Huichuan teacher of the classical mechanics in mechanics textbooks, teacher Zhang Yong-de of the quantum mechanics are similar materials in the country’s best.

Li Shumin, em

University teacher who has written a book on Physics problem-solving of interpretation,

Can go to do the physics problem code 7 Volume is sufficient for you to bite.

Fu Laji Anatoly perminov of the partial differential equation problem sets

Landau, Mechanics ( the Chinese version)

Goldstein, Classical Mechanics ( the Chinese version)

Landau, The Classical Theory of Fields ( the Chinese version)

Jackson, Classical Electrodynamics ( the Chinese version)

Landau, Statistical Physics Part1 ( Chinese version)

Kerson Huang,Statistical Mechanics

Landau, Quantum Mechanics (Non-relatisticTheory) ( Chinese version)

Greiner, Quantum Mechanics: Introduction ( Chinese version)

Huang Kun of the solid state physics

Kittel, Introduction to Solid State Physics ( Chinese version)

Feynman Feynman lectures on Physics

Born of the optical principles

Zheng Yongling mechanics, Fudan University Press

Zhang Yumin—the basic physics tutorial thermal University of science and technology of China press

Hu Youqiu of the electromagnetism of the higher education press

Guo Guangcan optics, higher education press

Xu kezhun modern physics, higher education press

Paint An Shen of the mechanics of the higher education press

Qin Yunhao thermal, higher education press

Zhao, kaihua electromagnetics, higher education press

Zhao, kaihua optics, higher education press

Yang fujia atomic physics, higher education press

Physics Department of the American physics ustc compilation of University of science and technology of China press

Chen xiru course in mathematical statistics, Shanghai Science and technology press

Chen Jiading lectures on mathematical statistics, higher education press

Lu Xuan of the statistical basis of the Tsinghua University Press

Chinese University of science and technology statistics and Department of finance problem sets of mathematical statistics, China University of science and technology lecture

Jin Shangnian of the classical mechanics of the Fudan University Press

Landau , Mechanics , Heinemann

Guo Shuohong electrodynamics, (Second Edition) by higher education press

Jackson , Classical Electrodynamics

Wang Zhicheng of the thermodynamic ? Statistical physics higher education press

Landau , Statistical Physics Part1 , Heinemann

Zhang Yong-de lectures on quantum mechanics lectures on China University of science and technology

Landau , Quantum Mechanics (Non-relatisticTheory) , Heinemann

Hilbert and Ke Lang of the methods of mathematical physics.

Liang Kunmiao, Guo d r and Wang Zhuxi’s book

On the green of the Mechanics and Thermodynamics. Under the thermal separation of the mechanical and thermal.

Zhao, kaihua of the electromagnetism.

Zhao, kaihua’s optics,

Landau of the classical mechanics.

Guo Shuohong electrodynamics, can see

JACKSON Books need very good mathematical basis, the key is to position has considerable knowledge of partial differential equations.

P.A.M DIRAC 1937 Years wrote the famous principles of quantum mechanics.

Would like to speak of the quantum mechanics I , II And the quantum mechanics problem sets .

There is a copy of the Quan-tum Physics This is discussed in detail.

Lurie of the particle and field.

If interested in condensed matter theory, statistical mechanics you can learn. Landau’s book is on.

Lady Lake’s modern course in statistical physics.

Huang Kun of the solid state physics, this book is easy to understand.

Sun Hongzhou group theory, it is enough. Briefly, group theory is a finite group and group of two consecutive parts, front part and the symmetry of the Crystal is directly related to the latter part and angular momentum theory, condensed matter people doing d or f e’s tight-binding method will be used.

Mahan of the many-particle problem (the translation) or

North of the Green’s function methods in solid state physics .

Callaway of the solid state theory.

Zhao, kaihua’s optics

Trouble boundary condition in quantum optics, General boundary quantum field theory is very simple, and quantum optics are not. A quantum optical properties of finite system is a very interesting question. Such as micro-cavity light absorption and emission and hence the photon crystals in several issues. To distinguish artificial dielectric Photonic Crystal and here. There are quantum effects in Photonic crystals, and no artificial dielectric. So a three dimensional artificial cycle working ceramic not Photonic crystals in microwave band, just artificial dielectric.

If interested in nuclear physics, then I suggest that you look more angular momentum theory or group theory book.

Real variable function theory and functional analysis, the book is the best of the REAL AND ABSTRACT ANALYSIS 》

In order to prepare for the differential geometry, to learn some topology and algebra.

Algebra : Blue’s course in advanced algebra,

Topology can be seen the basis of topology

Chen Weihuan the fundamentals of differential geometry

Shiing-Shen Chern of the differential geometry.

Of the differential forms in mathematical physics,

But I would suggest looking for a special function as a tool, introduces the book of lie groups. Read, then you know Bessel functions, such as those in the mathematical methods learned how important it is. They directly reflect the symmetry of, but when you are young and do not realize it. Learned this after you know what quantum mechanics is of real concern. Quantum mechanics is a theory about the symmetry. In the theory of group representations of wave function of the base is less important, and the group itself and on behalf of its eigenvalues are important, and these are characteristic values of physical quantities.

Fusion methods of quantum theory and general relativity,

” Advanced mathematical methods for scientists and engineers ” , The author is Bender Ozszag 。 Is a progressive learning methods (asymtotic andperturbation) good book , from the beginning to the global analysis of local analysis , very easy

The course in mathematical statistics, Chen xiru

The lectures on mathematical statistics, Chen Jiading

The fundamentals of mathematical statistics Lu Xuan

Zhao of the mathematical statistics voters

The mathematical statistic problem set Chinese University of science and technology statistics and Department of finance

《 Basic Partial Differential Equations 》 , D. Bleecker, G. Csordas The , Lee Chun kit, and higher education press, 2008.

Of the methods of mathematical physics, r.Courant, Hilbert with.

Feynman lectures on Physics

I.d.Landau theoretical physics tutorial.

Jiang lishang lectures on the equations of mathematical physics higher education press

Gu chaohao of the equations of mathematical physics, Li Daqian,

The equations of mathematical physics, r.Courant

The methods of mathematical physics, Liang Kunmiao

Of the equations of mathematical physics problem set fulajimiluofu

General Physics

1. M.S. Longair: Theoretical concepts in physics, 1986.

2. Arnold Sommerfeld: Lectures on Theoretical Physics

3. Richard Feynman: The Feynman lectures on Physics (3 vols)

4. Jearle Walker: The Flying Circus of Physics

5. There is the entire Landau and Lifshitz series.

6. The New Physics edited by Paul Davies.

7. Richard Feynman: The Character of Physical Law

8. David Mermin: Boojums all the way through: Communicating science in prosaic language

9. Frank Wilczek and Betsy Devine: Longing for the Harmonies: Themes and variations from modern physics

10.                       Greg Egan: Permutation City

Classical Mechanics

1. Herbert Goldstein: Classical Mechanics, 2nd ed, 1980.

2. Introductory: The Feynman Lectures, vol 1.

3. Keith Symon: Mechanics, 3rd ed., 1971 undergrad. level

4. H. Corbin and P. Stehle: Classical Mechanics, 2nd ed., 1960

5. V.I. Arnold: Mathematical methods of classical mechanics, translated by K. Vogtmann and A. Weinstein, 2nd ed., 1989.

6. R. Resnick and D. Halliday: Physics, vol 1, 4th Ed., 1993

7. Marion & Thornton: Classical Dynamics of Particles and Systems, 2nd ed., 1970.

8. A. Fetter and J. Walecka: Theoretical mechanics of particles and continua

9.    Kiran Gupta: Classical Mechanics of Particles and Rigid Bodies (1988)

Classical Electromagnetism

1. Jackson: Classical Electrodynamics, 2nd ed., 1975

2. Purcell: Berkeley Physics Series Vol 2.

3. Chen, Min, Berkeley Physics problems with solutions.

4. Reitz, Milford and Christy: Foundations of Electromagnetic Theory 4th ed., 1992

5. Feynman: The Feynman Lectures, Vol. 2

6. Lorrain & Corson: Electromagnetism, Principles and Applications, 1979

7. Resnick and Halliday: Physics, vol 2, 4th ed., 1993

8. Igor Irodov: Problems in Physics

9. William Smythe: Static and Dynamic Electricity, 3rd ed., 1968

10. Landau, Lifshitz, and Pitaevskii: Electrodynamics of Continuous Media, 2nd ed., 1984

11.                       Marion and Heald: Classical Electromagnetic Radiation, 2nd ed., 1980 

Quantum Mechanics

1. QED: The strange theory of light and matter Richard Feynman.

2. Cohen-Tannoudji: Quantum Mechanics I & II&, 1977.

3. Liboff: Introductory Quantum Mechanics, 2nd ed., 1992

4. Sakurai: Modern Quantum Mechanics, 1985

5. Sakurai: Advanced Quantum Mechanics 1967

6. J. Wheeler and W. Zurek (eds.): Quantum Theory and Measurement, 1983

7. C. DeWitt and N. Graham: The Many Worlds Interpretation of Quantum Mechanics

8. H. Everett: Theory of the Universal Wavefunction

9. Bjorken and Drell: Relativistic Quantum Mechanics/ Relativistic Quantum Fields

10. Ryder: Quantum Field Theory, 1984

11. Guidry: Gauge Field Theories: an introduction with applications 1991

12. Messiah: Quantum Mechanics, 1961

13.                       Dirac: 
a] Principles of QM, 4th ed., 1958
b] Lectures in QM, 1964
c] Lectures on Quantum Field Theory, 1966

14. Itzykson and Zuber: Quantum Field Theory, 1980

15.                       Slater: Quantum theory: Address, essays, lectures.
note: Schiff, Bjorken and Drell, Fetter and Walecka, and Slater are all volumes in “International Series in pure and Applied Physics” published by McGraw-Hill.

16. Pierre Ramond: Field Theory: A Modern Primer, 2nd edition. Volume 74 in the FiP series.

17. Feynman: The Feynman Lectures, Vol. 3

18. Heitler & London: Quantum theory of molecules

19. J. Bell: Speakable and Unspeakable in Quantum Mechanics, 1987

20. Milonni: The quantum vacuum: an introduction to quantum electrodynamics 1994.

21. Holland: The Quantum Theory of Motion

22. John von Neumann: Mathematical foundations of quantum mechanics, 1955.

23. Schiff: Quantum Mechanics, 3rd ed., 1968

24. Eisberg and Resnick: Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, 2nd ed., 1985.

25. David Saxon: Elementary Quantum Mechanics

26. Bethe and Jackiw: Intermediate Quantum Mechanics

27. P.W.Atkins: Quanta: A Handbook of concepts

28.                       James Peebles: Quantum Mechanics (1993)

Statistical Mechanics and Entropy

1. David Chandler: Introduction to Modern Statistical Mechanics, 1987

2. R. Tolman: Prinicples of Statistical Mechanics. Dover

3. Kittel & Kroemer: Statistical Thermodynamics

4.    Reif: Principles of statistical and thermal physics.

5. Felix Bloch: Fundamentals of Statistical Mechanics.

6. Radu Balescu: Statistical Physics

7. Abrikosov, Gorkov, and Dyzaloshinski: Methods of Quantum Field Theory in Statistical Physics

8. Huw Price: Time’s Arrow and Archimedes’ Point

9. Thermodynamics , by H. Callen.

10. Statistical Mechanics , by R. K. Pathria

11. Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions , by D. Forster

12. Introduction to Phase Transitions and Critical Phenomena , by H. E. Stanley

13. Modern Theory of Critical Phenomena , by S. K. Ma

14. Lectures on Phase Transitions and the Renormalization Group , by N. Goldenfeld

Condensed Matter

1. Charles Kittel: Introduction to Solid State Physics (ISSP),

2. Ashcroft and Mermin: Solid State Physics,

3. Charles Kittel: Quantum Theory of Solids.

4. Solid State Theory , by W. A. Harrison

5. Theory of Solids , by Ziman.

6. Fundamentals of the Theory of Metals , by Abrikosov

7. Many-Particle Physics , G. Mahan.

Special Relativity

1. Taylor and Wheeler: Spacetime Physics Still the best introduction out there.

2. Relativity : Einstein’s popular exposition.

3. Wolfgang Rindler: Essential Relativity . Springer 1977

4. A.P. French: Special Relativity

5. Abraham Pais: Subtle is the Lord: The Science and Life of Albert Einstein

6. Special Relativity and its Experimental Foundations Yuan Zhong Zhang

Particle Physics

1. Kerson Huang: Quarks, leptons & gauge fields, World Scientific, 1982.

2. L. B. Okun: Leptons and quarks, translated from Russian by V. I. Kisin, North-Holland, 1982.

3. T. D. Lee: Particle physics and introduction to field theory.

4. Itzykson: Particle Physics

5. Bjorken & Drell: Relativistic Quantum Mechanics

6. Francis Halzen & Alan D. Martin: Quarks & Leptons,

7. Donald H. Perkins: Introduction to high energy physics

8. Close, Marten, and Sutton: The Particle Explosion

9. Christine Sutton: Spaceship Neutrino

10. Mandl, Shaw: Quantum Field Theory

11. F.Gross: Relativistic Quantum Mechanics and Field Theory

12. S. Weinberg: The Quantum Theory of Fields, Vol I,II, 1995

13. M.B. Green, J.H. Schwarz, E. Witten: Superstring Theory (2 vols)

14. M. Kaku: Strings, Conformal Fields and Topology

15. Superstrings: A Theory of Everything ed P.C.W. Davies

16. A Pais: Inward Bound

17. R.P. Crease, C.C. Mann: The Second Creation 1996

18.                       L. Lederman, D. Teresi: The God Particle: If the Universe Is the Answer, What Is the Question? 2006

General Relativity

1. Meisner, Thorne and Wheeler: Gravitation W. H. Freeman & Co., San Francisco 1973

2. Robert M. Wald: Space, Time, and Gravity: the Theory of the Big Bang and Black Holes.

3. Schutz: A First Course in General Relativity.

4. Weinberg: Gravitation and Cosmology

5. Hans Ohanian: Gravitation & Spacetime (recently back in print)

6. Robert Wald: General Relativity

7. Clifford Will: Was Einstein Right? Putting General Relativity to the Test

8.    Kip Thorne: Black Holes and Time Warps: Einstein’s Outrageous Legacy

Mathematical Methods

1. Morse and Feshbach: Methods of Theoretical Physics.

2. Mathews and Walker: Mathematical Methods of Physics. An absolute joy for those who

3. Arfken: Mathematical Methods for Physicists Academic Press

4. Zwillinger: Handbook of Differential Equations. Academic Press

5. Gradshteyn and Ryzhik: Table of Integrals, Series, and Products Academic

6.    F.W. Byron and R. Fuller: Mathematics of Classical and Quantum Physics (2 vols) 

Nuclear Physics

1. Preston and Bhaduri: Structure of the Nucleus

2. Blatt and Weisskopf: Theoretical Nuclear Physics

3. DeShalit and Feshbach: Theoretical Nuclear Physics

4. Satchler: Direct Nuclear Reactions

5. Walecka: Theoretical Nuclear and Subnuclear Physics (1995)

6.    Krane: Introductory nuclear physics

Cosmology

1. J. V. Narlikar: Introduction to Cosmology.1983 Jones & Bartlett Publ.

2. Hawking: A Brief History of Time

3. Weinberg: First Three Minutes

4. Timothy Ferris: Coming of Age in the Milky Way and The Whole Shebang

5. Kolb and Turner: The Early Universe.

6. Peebles: Principles of Physical Cosmology. Comprehensive, and on the whole it’s quite a

7. Black Holes and Warped Spacetime , by William J. Kaufmann III.

8. M.V. Berry: Principles of Cosmology and Gravitation

9. Dennis Overbye: Lonely Hearts of the Cosmos The unfinished history of converge on

10. Joseph Silk: The Big Bang

11. Bubbles, voids, and bumps in time: the new cosmology edited by James Cornell.

12. T. Padmanabhan: Structure formation in the universe

13. P.J.E. Peebles: The large-scale structure of the universe

14. Andrzej Krasinski: Inhomogeneous Cosmological Models

15. Alan Lightman and Roberta Brawer: Origins: The lives and worlds of modern cosmologists, 1990

Astronomy

1. Hannu Karttunen et al. (eds.): Fundamental Astronomy.

2. Pasachoff: Contemporary Astronomy

3. Frank Shu: The physical universe: an introduction to astronomy

4.    Kenneth R. Lang: Astrophysical formulae: a compendium for the physicist and astrophysicist

Plasma Physics

(See Robert Heeter’s sci.physics.fusion FAQ for details)

Numerical Methods/Simulations

1. Johnson and Rees: Numerical Analysis Addison Wesley

2. Numerical Recipes in X (X=c,fortran,pascal,etc) Tueklosky and Press

3. Young and Gregory: A survey of Numerical Mathematics Dover 2 volumes.

4. Hockney and Eastwood: Computer Simulation Using Particles Adam Hilger

5. Birdsall and Langdon: Plasma Physics via Computer Simulations

6.    Tajima: Computational Plasma Physics: With Applications to Fusion and Astrophysics Addison Wesley Frontiers in physics Series.

Fluid Dynamics

1. D.J. Tritton: Physical Fluid Dynamics

2. G.K. Batchelor: Introduction to Fluid Dynamics

3. S. Chandrasekhar: Hydrodynamics and Hydromagnetic Stability

4. Segel: Mathematics Applied to Continuum Mechanics Dover.

Nonlinear Dynamics, Complexity, and Chaos

There is a FAQ posted regularly to sci.nonlinear.

1. Prigogine: Exploring Complexity

2. Guckenheimer and Holmes: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields Springer

3. Lichtenberg, A. J. and M. A. Lieberman (1982): Regular and Stochastic Motion. New York, Springer-Verlag.

4. Ioos and Joseph: Elementary Stability and Bifurcation Theory. New York, Springer.

5. Heinz Pagels: The Dreams Of Reason

6.    M. Mitchell Waldrop: Complexity

Optics (Classical and Quantum), Lasers

1.    Max Born and Emil Wolf: Principles of Optics: Electromagnetic Theory of Propagation
Standard reference.

2. Sommerfeld: For the more classically minded.

3. Allen and Eberly: Optical Resonance and Two-Level Atoms.

4. Goodman: Introduction to Fourier Optics.

5. Quantum Optics and Electronics (Les Houches Summer School 1963 or 1964, but someone has claimed that Gordon and Breach, NY, are going to republish it in 1995),

6. Sargent, Scully, & Lamb: Laser Physics

7. Yariv: Quantum Electronics

8. Siegman: Lasers

9. Shen: The Principles of Nonlinear Optics

10. Meystre & Sargent: Elements of Quantum Optics

11. Cohen-Tannoudji, Dupont-Roc, & Grynberg: Photons, Atoms and Atom-Photon Interactions.

12. Hecht: Optics

13. Practical Holography by Graham Saxby, Prentice Hall: New York; 1988.

Mathematical Physics

1. Yvonne Choquet-Bruhat, Cecile DeWitt-Morette, and Margaret Dillard-Bleick: Analysis, manifolds, and physics (2 volumes)

2. Jean Dieudonne: A panorama of pure mathematics, as seen by N. Bourbaki, translated by I.G. Macdonald.

3. Robert Hermann: Lie groups for physicists, Benjamin-Cummings, 1966.

4. George Mackey: Quantum mechanics from the point of view of the theory of group representations, Mathematical Sciences Research Institute, 1984.

5. George Mackey: Unitary group representations in physics, probability, and number theory.

6. Charles Nash and S. Sen: Topology and geometry for physicists.

7. B. Booss and D.D. Bleecker: Topology and analysis: the Atiyah-Singer index formula and gauge-theoretic physics.

8. Bamberg and S. Sternberg: A Course of Mathematics for Students of Physics

9. Bishop & Goldberg: Tensor Analysis on Manifolds.

10. Flanders: Differential Forms with applications to the Physical Sciences.

11. Dodson & Poston: Tensor Geometry.

12. von Westenholz: Differential forms in Mathematical Physics.

13. Abraham, Marsden & Ratiu: Manifolds, Tensor Analysis and Applications.

14. M. Nakahara: Topology, Geometry and Physics.

15. Morandi: The Role of Topology in Classical and Quantum Physics

16. Singer, Thorpe: Lecture Notes on Elementary Topology and Geometry

17. L. Kauffman: Knots and Physics, World Scientific, Singapore, 1991.

18. C. Yang and M. Ge: Braid group, Knot Theory & Statistical Mechanics.

19. D. Kastler: C-algebras and their applications to Statistical Mechanics and Quantum Field Theory.

20. Courant and Hilbert: Methods of Mathematical Physics Wiley

21. Cecille Dewitt is publishing a book on manifolds that should be out soon (maybe already

22. Howard Georgi: Lie Groups for Particle Phyiscs Addison Wesley Frontiers in Physics Series.

23. Synge and Schild.

Atomic Physics

1. Max Born: Atomic Physics

2. Gerhard Herzberg: Atomic spectra and atomic structure, Translated with the co-operation

3. E. U. Condon and G. H. Shortley: The theory of atomic spectra, CUP 1951

4. G. K. Woodgate: Elementary atomic structure, 2d ed. Oxford: New York: Clarendon Press, Oxford University Press, 1983, c 1980

5.    Alan Corney: Atomic and laser spectroscopy, Oxford, New York: Clarendon Press, 1977

Low Temperature Physics, Superconductivity

1. The Theory of Quantum Liquids , by D. Pines and P. Nozieres

2. Superconductivity of Metals and Alloys , P. G. DeGennes A classic introduction.

3. Theory of Superconductivity , J. R. Schrieffer

4. Superconductivity , M. Tinkham

5. Experimental techniques in low-temperature physics , by Guy K. White.
This is considered by many as a “bible” for those working in experimental low-temperature physics.