Mathematics for Physicists

Susan Lea

  • 出版商: Cengage Learning
  • 出版日期: 2003-04-14
  • 售價: $1,100
  • 貴賓價: 9.8$1,078
  • 語言: 英文
  • 頁數: 624
  • 裝訂: Hardcover
  • ISBN: 0534379974
  • ISBN-13: 9780534379971

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商品描述

This essential new text by Dr. Susan Lea will help physics undergraduate and graduate student hone their mathematical skills. Ideal for the one-semester course, MATHEMATICS FOR PHYSICISTS has been extensively class-tested at San Francisco State University--and the response has been enthusiastic from students and instructors alike. Because physics students are often uncomfortable using the mathematical tools that they learned in their undergraduate courses, MATHEMATICS FOR PHYSICISTS provides students with the necessary tools to hone those skills. Lea designed the text specifically for physics students by using physics problems to teach mathematical concepts.

Features:

The text is organized beginning with a SET OF CHAPTERS COVERING THE BASICS, followed by a set of OPTIONAL TOPICS to be chosen by the professor or read by the students on their own. The optional topics are more advanced than the chapter material. . Within each chapter, the material becomes progressively more advanced. Therefore, instructors who want a lower-level presentation can simply omit the final sections of each chapter and the optional topics.

MATERIAL INTRODUCED IN ONE CHAPTER IS REINFORCED IN LATER CHAPTERS. Thus, Chapter 2 ("Complex Variables") uses materials on vectors from Chapter 1; inverse transforms (Chapters 5 and 7) makes extensive use of contour integration from Chapter 2; and so on.

MATHEMATICAL PROOFS are kept to a minimum in the body of the text, with many placed in the appendices for added optional study.

The author omits computer applications almost entirely, allowing students to master the basic mathematical tools and understand what the computer is doing and why, before going on to learn the computer material in another course. However, numerical solution of differential equations is covered in Chapter 3 ("Differential Equations").

Table of Contents :

1. Describing the Universe.
2. Complex Variables.
3. Differential Equations.
4. Fourier Series.
5. Laplace Transforms.
6. Generalized Functions in Physics.
7. Fourier Transforms.
8. The Sturm-Liouville Theory .
Optional Topics.
A. Tensors.
B. Group Theory.
C. Green's Functions.
D. Approximate Evaluation of Integrals.
E. Calculus of Variations.
Bibliography.
Appendices.