數學物理方法 英文原版 Some Mathematical Methods of Physics (Dover Books on Physics)

基本信息/Product Details

出版社 : Dover Publications (2014年6月18日)

語言 : 英語

平裝 : 320頁

ISBN-10 : 0486780635

ISBN-13 : 978-0486780634

商品重量 : 318 g

尺寸 : 12.7 x 1.91 x 19.69 cm

頁面參數僅供參考，具體以實物為準

書籍簡介/Book De*ion

本書為高年級本科生和研究生提供了全面、徹底的處理方法，介紹了線性系統研究中涉及的數學物理學的基本概念。該書強調了特徵值、特徵函數和格林函數。先決條件包括微分方程和理論物理學的第一門課程。

該書由三部分組成，探討了具有有限自由度的系統（由矩陣描述）。在第二部分，前幾章中為離散系統發展的概念被擴展到連續系統。還介紹了在處理連續系統方面有用的新概念。最後一部分研究了近似方法--包括微擾理論、變異方法和數值方法--與解決應用物理學家所面臨的大多數自然問題有關。內含兩個附錄包括背景和補充材料。本書於1960年版。

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.

作者簡介/Author

美國理論物理學家傑拉爾德-戈特澤爾（1919-2002）曾參與曼哈頓項目，組建了賽格工業公司，並在IBM工作多年，活躍於設計自動化、數據壓縮和數字印刷領域。他開發了Goertzel算法，一種數據信號處理技術。

努齊奧-特拉利（1917-79）在聖約翰大學任教，是幾本物理學書籍的作者，包括經典電磁理論和原子理論。他與弗蘭克-R-波米拉共同編寫的《波動力學導論》。

American theoretical physicist Gerald Goertzel (1919–2002) worked on the Manhattan Project, formed Sage Industries, and worked for many years at IBM, where he was active in design automation, data compression, and digital printing. He developed the Goertzel algorithm, a data signal processing technique.

Nunzio Tralli (1917–79) taught at St. John's University and was the author of several books on physics, including Classical Electromagnetic Theory and Atomic Theory: An Introduction to Wave Mechanics, which he co-wrote with Frank R. Pomilla.