The Variational Principles of Mechanics (Paperback)

Cornelius Lanczos

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商品描述

Analytical mechanics is, of course, a topic of perennial interest and usefulness in physics and engineering, a discipline that boasts not only many practical applications, but much inherent mathematical beauty. Unlike many standard textbooks on advanced mechanics, however, this present text eschews a primarily technical and formalistic treatment in favor of a fundamental, historical, philosophical approach. As the author remarks, there is a tremendous treasure of philosophical meaning" behind the great theories of Euler and Lagrange, Hamilton, Jacobi, and other mathematical thinkers.
Well-written, authoritative, and scholarly, this classic treatise begins with an introduction to the variational principles of mechanics including the procedures of Euler, Lagrange, and Hamilton.
Ideal for a two-semester graduate course, the book includes a variety of problems, carefully chosen to familiarize the student with new concepts and to illuminate the general principles involved. Moreover, it offers excellent grounding for the student of mathematics, engineering, or physics who does not intend to specialize in mechanics, but wants a thorough grasp of the underlying principles.
The late Professor Lanczos (Dublin Institute of Advanced Studies) was a well-known physicist and educator who brought a superb pedagogical sense and profound grasp of the principles of mechanics to this work, now available for the first time in an inexpensive Dover paperback edition. His book will be welcomed by students, physicists, engineers, mathematicians, and anyone interested in a clear masterly exposition of this all-important discipline.

 

商品描述(中文翻譯)

分析力學當然是物理學和工程學中一個永恆的興趣和有用性的主題,這門學科不僅擁有許多實際應用,還具有很大的數學美感。然而,與許多關於高級力學的標準教科書不同,這本書選擇了一種基礎的、歷史的、哲學的方法,而不是主要的技術和形式主義的處理方式。正如作者所言,歐拉、拉格朗日、哈密頓、雅可比和其他數學思想家的偉大理論背後有著巨大的哲學意義的寶藏。

這本經典著作寫得很好,權威且學術性強,從力學的變分原理入手,包括歐拉、拉格朗日和哈密頓的程序。適合兩個學期的研究生課程,書中包含各種問題,精心選擇以使學生熟悉新概念並闡明涉及的一般原則。此外,它為數學、工程或物理學的學生提供了優秀的基礎,即使不打算專攻力學,也能對基本原理有透徹的理解。

已故的蘭科斯教授(都柏林高等研究所)是一位著名的物理學家和教育家,他對力學原理有著卓越的教學感覺和深刻的理解,這本書首次以廉價的多佛平裝本出版。他的書將受到學生、物理學家、工程師、數學家和對這一重要學科的清晰、傑出的闡述感興趣的人的歡迎。