Mathematics for Physics pdf epub mobi txt 電子書 下載2025
- 數學物理
- 數學
- 這個纔是學習數理方法的最佳用書
- 物理
- 數學-數學物理
- 數學
- 物理學
- 高等數學
- 數學物理方法
- 微積分
- 綫性代數
- 常微分方程
- 偏微分方程
- 復變函數
- 數值分析
具體描述
An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics - differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.
著者簡介
MICHAEL STONE is a Professor in the Department of Physics at the University of Illinois at Urbana-Champaign. He has worked on quantum field theory, superconductivity, the quantum Hall effect and quantum computing.
PAUL GOLDBART is a Professor in the Department of Physics at the University of Illinois at Urbana-Champaign, where he directs the Institute for Condensed Matter Theory. His research ranges widely over the field of condensed matter physics, including soft matter, disordered systems, nanoscience and superconductivity.
圖書目錄
Acknowledgements
1 Calculus of variations
2 Function spaces
3 Linear ordinary differential equations
4 Linear differential operators
5 Green functions
6 Partial differential equations
7 The mathematics of real waves
8 Special functions
9 Integral equations
10 Vectors and tensors
11 Differential calculus on manifolds
12 Integration on manifolds
13 An introduction to differential topology
14 Groups and group representations
15 Lie groups
16 The geometry of fibre bundles
17 Complex analysis
18 Applications of complex variables
19 Special functions and complex variables
A Linear algebra review
B Fourier series and integrals
References
Index
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nice reference and textbook. some conceptual questions can be really "math".
评分nice reference and textbook. some conceptual questions can be really "math".
评分nice reference and textbook. some conceptual questions can be really "math".
评分nice reference and textbook. some conceptual questions can be really "math".
评分nice reference and textbook. some conceptual questions can be really "math".
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