Mathematics for Physicists (Paperback)
Philippe Dennery, André Krzywicki
- 出版商: Dover Publications
- 出版日期: 1996-08-14
- 售價: $670
- 貴賓價: 9.8 折 $657
- 語言: 英文
- 頁數: 416
- 裝訂: Paperback
- ISBN: 0486691934
- ISBN-13: 9780486691930
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商品描述
"A fine example of how to present 'classical' physical mathematics." — American Scientist
Written for advanced undergraduate and graduate students, this volume provides a thorough background in the mathematics needed to understand today's more advanced topics in physics and engineering. Without sacrificing rigor, the authors develop the theoretical material at length, in a highly readable, and, wherever possible, in an intuitive manner. Each abstract idea is accompanied by a very simple, concrete example, showing the student that the abstraction is merely a generalization from easily understood specific cases. The notation used is always that of physicists. The more specialized subjects, treated as simply as possible, appear in small print; thus, it is easy to omit them entirely or to assign them to the more ambitious student.
Among the topics covered are the theory of analytic functions, linear vector spaces and linear operators, orthogonal expansions (including Fourier series and transforms), theory of distributions, ordinary and partial differential equations and special functions: series solutions, Green's functions, eigenvalue problems, integral representations.
"An outstandingly complete collection of mathematical material of wide application in physics . . . invaluable to the reader intent on increasing his knowledge of the mathematical theories and techniques underlying physics." — Applied Optics
商品描述(中文翻譯)
「一個展示如何呈現『古典』物理數學的優秀範例。」— 《美國科學家》
本書為高年級本科生及研究生所寫,提供了理解當今更高級物理和工程主題所需的數學基礎。作者在不犧牲嚴謹性的情況下,詳細發展理論材料,以高度可讀且盡可能直觀的方式呈現。每個抽象概念都附有非常簡單、具體的例子,讓學生明白這些抽象只是從易於理解的具體案例中推廣而來。所使用的符號始終是物理學家的標準符號。更專門的主題以盡可能簡單的方式處理,並以小字體顯示;因此,讀者可以輕易地完全省略這些內容,或將其分配給更有抱負的學生。
涵蓋的主題包括解析函數理論、線性向量空間和線性算子、正交展開(包括傅立葉級數和變換)、分佈理論、常微分方程和偏微分方程及特殊函數:級數解、格林函數、特徵值問題、積分表示。
「一個極為完整的數學材料集,廣泛應用於物理學……對於希望增進對物理學背後數學理論和技術知識的讀者來說,無價。」— 《應用光學》