Some Mathematical Methods of Physics (Paperback)
暫譯: 物理學中的一些數學方法 (平裝本)
Gerald Goertzel, Nunzio Tralli
- 出版商: Dover Publications
- 出版日期: 2014-06-18
- 售價: $620
- 貴賓價: 9.8 折 $608
- 語言: 英文
- 頁數: 320
- 裝訂: Paperback
- ISBN: 0486780635
- ISBN-13: 9780486780634
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相關分類:
物理學 Physics
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商品描述
This well-rounded, thorough treatment for advanced undergraduates and graduate students introduces basic concepts of mathematical physics involved in the study of linear systems. The text emphasizes eigenvalues, eigenfunctions, and Green's functions. Prerequisites include differential equations and a first course in theoretical physics.
The three-part presentation begins with an exploration of systems with a finite number of degrees of freedom (described by matrices). In part two, the concepts developed for discrete systems in previous chapters are extended to continuous systems. New concepts useful in the treatment of continuous systems are also introduced. The final part examines approximation methods — including perturbation theory, variational methods, and numerical methods — relevant to addressing most of the problems of nature that confront applied physicists. Two Appendixes include background and supplementary material. 1960 edition.
The three-part presentation begins with an exploration of systems with a finite number of degrees of freedom (described by matrices). In part two, the concepts developed for discrete systems in previous chapters are extended to continuous systems. New concepts useful in the treatment of continuous systems are also introduced. The final part examines approximation methods — including perturbation theory, variational methods, and numerical methods — relevant to addressing most of the problems of nature that confront applied physicists. Two Appendixes include background and supplementary material. 1960 edition.
商品描述(中文翻譯)
這本全面且深入的書籍適合高年級本科生和研究生，介紹了與線性系統研究相關的數學物理基本概念。文本強調特徵值（eigenvalues）、特徵函數（eigenfunctions）和格林函數（Green's functions）。先修課程包括微分方程和理論物理的第一門課程。
這本書的三個部分首先探討具有有限自由度的系統（由矩陣描述）。第二部分將前幾章中為離散系統發展的概念擴展到連續系統。還介紹了在處理連續系統時有用的新概念。最後一部分檢視了與應用物理學家面對的自然問題相關的近似方法，包括擾動理論（perturbation theory）、變分法（variational methods）和數值方法（numerical methods）。兩個附錄包含背景和補充材料。1960年版。
