数学物理(下第2版)(英文版)
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作者(美)S.哈桑尼
出版社世界图书出版公司
ISBN9787519226077
出版时间2017-08
装帧其他
开本其他
定价115元
货号30130834
上书时间2024-11-25
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目录
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
内容摘要
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。
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