数学物理(下第2版)(英文版)

S.哈桑尼著的《数学物理（下第2版）（英文版 ）》是为学习物理学的读者编写的数学基础教材，书 中除了用较现代的方法处理经典的数学物理问题外， 还引入了很多有较强物理应用意义的现代数学方法和 思想，从涵盖的知识面来看，已远远超出通常数学物 理方法教程的范围，因此可以供更大范围的读者参考 选用。与第1版相比，第2版重写了许多章节，新增的 章节包括代数、克里福代数的表示、纤维丛等内容。

1 Mathematical Preliminaries Part I Finite-Dimensional Vector Spaces 2 Vectors and Linear Maps 3 Algebras 4 Operator Algebra 5 Matrices 6 Spectral Decomposition Part II Infinite-Dimensional Vector Spaces 7 Hilbert Spaces 8 Classical Orthogonal Polynomials 9 Fourier Analysis Part III Complex Analysis 10 Complex Calculus 11 Calculus of Residues 12 Advanced Topics Part IV Differential Equations 13 Separation of Variables in Spherical Coordinates 14 Second-Order Linear Differential Equations 15 Complex Analysis of SOLDEs 16 Integral Transforms and Differential Equations Part V Operators on Hilbert Spaces 17 Introductory Operator Theory 18 Integral Equations 19 Sturm-Liouville Systems Part VI Green's Functions 20 Green's Functions in One Dimension 21 Multidimensional Green's Functions: Formalism 22 Multidimensional Green's Functions: Applications Part VII Groups and Their Representations 23 Group Theory 24 Representation of Groups 25 Representations of the Symmetric Group Part VIII Tensors and Manifolds 26 Tensors 27 Clifford Algebras 28 Analysis of Tensors Part IX Lie Groups and Their Applications 29 Lie Groups and Lie Algebras 30 Representation of Lie Groups and Lie Algebras 31 Representation of Clifford Algebras 32 Lie Groups and Differential Equations 33 Calculus of Variations, Symmetries, and Conservation Laws Part X Fiber Bundles 34 Fiber Bundles and Connections 35 Gauge Theories 36 Differential Geometry 37 Riemannian Geometry References Index