Mathematical Methods for Physics and Engineering: A Comprehensive Guide, 3/e (Paperback) (物理與工程的數學方法：全面指南（第三版）)

K. F. Riley, M. P. Hobson, S. J. Bence

Mathematical Methods for Physics and Engineering: A Comprehensive Guide, 3/e (Paperback)
  • 出版商: Cambridge
  • 出版日期: 2006-03-13
  • 定價: $1,520
  • 售價: 9.8 折 $1,490
  • 語言: 英文
  • 頁數: 1359
  • 裝訂: Paperback
  • ISBN: 0521679710
  • ISBN-13: 9780521679718
  • 相關分類: 物理學 Physics

    • 立即出貨 (庫存=1)

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商品描述

Description

The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.

 

Table of Contents

Prefaces;

1. Preliminary algebra;

2. Preliminary calculus;

3. Complex numbers and hyperbolic functions;

4. Series and limits;

5. Partial differentiation;

6. Multiple integrals;

7. Vector algebra;

8. Matrices and vector spaces;

9. Normal modes;

10. Vector calculus;

11. Line, surface and volume integrals;

12. Fourier series;

13. Integral transforms;

14. First-order ordinary differential equations;

15. Higher-order ordinary differential equations;

16. Series solutions of ordinary differential equations;

17. Eigenfunction methods for differential equations;

18. Special functions;

19. Quantum operators;

20. Partial differential equations: general and particular;

21. Partial differential equations: separation of variables;

22. Calculus of variations;

23. Integral equations;

24. Complex variables;

25. Application of complex variables;

26. Tensors;

27. Numerical methods;

28. Group theory;

29. Representation theory;

30. Probability;

31. Statistics; Index.

商品描述(中文翻譯)

描述

這本廣受好評的本科教材的第三版適用於任何物理科學本科課程的數學教學。除了對所有主題的清晰描述和許多實例的解釋外，它還包含800多個練習題。新的獨立章節系統地介紹了物理科學的「特殊函數」，涵蓋了複變數的廣泛實際應用，並介紹了量子運算符。增加了在統計學和數值積分中相關的表格。在這版中，一半的練習題提供了提示和答案，並在一本供學生和教師使用的單獨手冊中提供了完整的解答。其餘的練習題沒有提示、答案或解答，可以用於自主作業；完整的解答將以密碼保護的網站www.cambridge.org/9780521679718提供給教師。

目錄

前言；
1. 初等代數；
2. 初等微積分；
3. 複數和雙曲函數；
4. 級數和極限；
5. 偏微分；
6. 多重積分；
7. 向量代數；
8. 矩陣和向量空間；
9. 正常模式；
10. 向量微積分；
11. 線、面和體積積分；
12. 傅立葉級數；
13. 積分變換；
14. 一階常微分方程；
15. 高階常微分方程；
16. 常微分方程的級數解；
17. 微分方程的特徵函數方法；
18. 特殊函數；
19. 量子運算符；
20. 偏微分方程：一般和特殊；
21. 偏微分方程：分離變量法；
22. 變分法；
23. 積分方程；
24. 複變數；
25. 複變數的應用；
26. 張量；
27. 數值方法；
28. 群論；
29. 表示論；
30. 概率；
31. 統計；索引。

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