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数学类 1. Serge Lang系列： Linear Algebra - 2nd Undergraduate Algebra Algebra - 3rd Short Calculus Calculus of Several Variables Undergraduate Analysis - 2nd Complex Analysis - 4th Real and Functional Analysis - 3rd Fundamentals of Differential Geometry Introduction to Algebraic Geometry 2. Walter Rudin系列： Principles of Mathematical Analysis - 3rd Real and Complex Analysis - 3rd Functional Analysis - 2nd 3. Elias M. Stein系列： Fourier Analysis: An Introduction Complex Analysis Real Analysis: Measure Theory, Integration, and Hilbert Spaces Functional Analysis: Introduction to Further Topics in Analysis Introduction to Fourier Analysis on Euclidean Spaces Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals 4. Hermann Weyl系列： The Classical Groups: Their Invariants and Representations Die Idee der Riemannschen Fläche The Concept of a Riemann Surface Einführung in die Funktionentheorie The Theory of Groups and Quantum Mechanics Philosophy of Mathematics and Natural Science Symmetry Raum · Zeit · Materie: Vorlesungen über Allgemeine Relativitätstheorie 5. G. H. Hardy系列： An Introduction to the Theory of Numbers - 6th A Course of Pure Mathematics - 10th 6. Richard Courant系列： What Is Mathematics Introduction to Calculus and Analysis Differential and Integral Calculus Methods of Mathematical Physics 7. 代数： 代数学引论（1，2，3卷） Algebra I - Neunte Auflage - B.L. van der Waerden Algebra II - Sechste Auflage - B.L. van der Waerden Algebra - 2nd - Michael Artin Applied Analysis - John K. Hunter Galois Theory - 2nd - Emil Artin Galois Theory - Harold M. Edwards Introduction to Lie Algebras and Representation Theory - James Humphreys Abstract Algebra - 3rd- I. N. Herstein Linear Algebra - 2nd - Kenneth Hoffman Linear Algebra done right - 2nd - Sheldon Axler Commutative Algebra - Oscar Zariski Advanced Linear Albebra - Steven Roman Linear Algebra and Its Applications - 4th - Gilbert Strang 8. 分析： Calculus - 3rd - Michael Spivak Analysis 1 - Sechste Auflage - Wolfgang Walter Analysis 2 - Sechste Auflage - Wolfgang Walter A Course of Modern Analysis - 4th - E.T.Whittaker Calculus on Manifolds - Michael Spivak Analysis on Manifolds - James R. Munkres Theory and Application of Infinite Series - Konrad Knopp Theorie und Anwendung der unendlichen Reihen - Dritte Auflage - Konrad Knopp Theory of Complex Functions - Reinhold Remmert Classical Topics in Complex Function Theory - Reinhold Remmert Funktionentheorie - Reinhold Remmert Introductory Functional Analysis with Applications - Erwin Kreyszig Elements of the Theory of Functions and Functional Analysis - A. N. Kolmogorov A Student's Guide to Fourier Transforms - 3rd - J. F. James Fourier Analysis - T. W. Körner Fourier Series and Integrals - H. Dym A panorama of Harmonic Analysis - Steven G. Krantz Trigonometric Series - 3rd - A. Zygmund The Fast Foruier Transform and Its Applications - E. Oran Brigham An Introduction to Harmonic Analysis - 3rd - Yitzhak Katznelson The Fourier Transform and Its Applications - 3rd - Ronald N. Bracewell Partial Differential Equations - 2nd - Lawrence C. Evans Calculus of Variations: with Applications to Physics and Engineering - Robert Weinstock Calculus of Variations - I. M. Gelfand Ordinary Differential Equations V.I. Arnold Differential Equations and Their Applications - 4th - Martin Braun Differential Equations, Dynamical Systems, and Linear Algebra - Morris W. Hirsch A First Course in Differential Equations with Modeling Applications - 7th - Dennis G. Zill Numerical Methods for Scientists and Engineers - R. W. Hamming Vector Calculus, Linear Algebra, and Differential Forms - John Hamal Hubbard 9. 几何、拓扑、微分几何 Basic Topology - M. A. Armstrong Topology - James Munkres Lehrbuch Der Topologie - H. Seifert Algebraic Topology: An Introduction - William S. Massey Singular Homology Theory - William S. Massey Differential Topology - Morris W. Hirsch Topology: from the Differentiable Viewpoint - John Willard Milnor Differential Geometry: Curves - Surfaces - Manifolds - 2nd - Wolfgang Kühnel Differentialgeometrie: Kurven - Flächen - Mannigfaltigkeiten - 4.Auflage - Wolfgang Kühnel 微分几何讲义 - 第二版 - 陈省身 Differential Geometry of Curves and Surfaces - Manfredo P. do Carmo Riemannian Geometry - Manfredo P. do Carmo 10. 概率 Foundations of The Theory of Probability - A. N. Kolmogorov Introduction to Probability Theory - Paul G. Hoel An Introduction to Probability Theory and Its Applications -2nd - William Feller Probability Theory: A Concise Course - Y.A. Rozanov Introduction to Probability - Joseph K. Blitzstein 11. 数学哲学、数学史等： A Hstory of Mathematics - 3rd Uta C. Merzbach 高观点下的初等数学 - Felix Klein 数学在19世纪的发展 - Felix Klein -------------------------------------------------- 物理类 1. Richard P. Feynman系列 The Feynman Lectures on Physics QED: The Strange Theory of Light and Matter Feynman Lectures On Computation Quantum Electrodynamics Quantum Mechanics and Path Integrals Statistical Mechanics: A Set Of Lectures Feynman Lectures on Gravitation Elementary Particles and the Laws of Physics The Character of Physical Law Feynman's Tips on Physics 2. L D Landau系列 Course of Theoretical Physics 3. P. A.M. Dirac系列 General Theory of Relativity - P. A.M. Dirac The Principles of Quantum Mechanics - 4th - P. A. M. Dirac Lectures on Quantum Mechanics and Relativistic Field Theory Directions in Physics 4. Max Born 系列 Moderne Physik Der Aufbau der Materie Atomic Physics - 2nd - Max Born Dynamical Theory of Crystal Lattices - Max Born 5.Werner Heisenberg 系列 The Physical Principles of the Quantum Theory Die Physik der Atomkerne - 4.Auflage Physics and Philosophy: The Revolution in Modern Science 6. Robert Resnick系列 Fundamentals of Physics - 2nd Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles - 2nd Basic Concepts in Relativity and Early Quantum Theory 7. David J. Griffiths系列 Introduction to Electrodynamics - 4th Introduction to Quantum Mechanics - 2nd Introduction to Elementary Particles 8. 力学 Classical Mechanics - 2nd - Herbert Goldstein Classical Mechanics - Leonard Susskind Vibrations and Waves - A.P. French 9. 电磁 Field and Wave Electromagnetics - 2nd - David K. Cheng Electricity and Magnetism - 2nd - Edward M. Purcell Classical Electrodynamics - 3rd - John David Jackson Advanced Engineering Electromagnetics - 2nd - Constantine A. Balanis 10.Statistical Mechanics Statistical Thermodynamics - Erwin Schrödinger Elementary Statistical Physics - Charles Kittel Treatise on Thermodynamics - Max Planck Thermal Physics - Charles Kittel 11. Quantum Mechanics Mathematical Foundations of Quantum Mechanics - John von Neumann Collective Electrodynamics: Quantum Foundations of Electromagnetism - Carver A. Mead Quantum Mechanics - Leonard Susskind Photons and Atoms: Introduction to Quantum Electrodynamics - Claude Cohen-Tannoudji Einführung in die Physik der Atome - 4.Auflage - K.H. Hellwege The Origin and Development of the Quantum Theory - Max Planck 12. 固体物理 Quantum Theory of Many-Particle Systems - Alexander L. Fetter Introduction to Solid State Physics - Charles Kittel Polymer Physics - M. Rubinstein 13. 相对论 Relativity: The Special and General Theory - Albert Einstein 14. 物理哲学 My View of the World - Erwin Schrödinger |
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