Classical Dynamics (Paperback)
暫譯: 經典動力學 (平裝本)
Donald T. Greenwood
- 出版商: Dover Publications
- 出版日期: 1997-07-07
- 售價: $730
- 貴賓價: 9.8 折 $715
- 語言: 英文
- 頁數: 368
- 裝訂: Paperback
- ISBN: 0486696901
- ISBN-13: 9780486696904
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相關分類:
動力學 Dynamics
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商品描述
Since Lagrange laid the foundation of analytical dynamics some two centuries ago, the discipline has continued to evolve and develop, embracing the theories of Hamilton and Jacobi, Einstein's relativity theory and advanced theories of classical mechanics.
This text proposes to give graduate students in science and engineering a strong background in the more abstract and intellectually satisfying areas of dynamical theory. It is assumed that students are familiar with the principles of vectorial mechanics and have some facility in the use of this theory for analysis of systems of particles and for rigid-body rotation in two and three dimensions.
After a concise review of basic concepts in Chapter 1, the author proceeds from Lagrange's and Hamilton's equations to Hamilton-Jacobi theory and canonical transformations. Topics include d'Alembert's principle and the idea of virtual work, the derivation of Langrange's equation of motion, special applications of Lagrange's equations, Hamilton's equations, the Hamilton-Jacobi theory, canonical transformations and an introduction to relativity.
Problems included at the end of each chapter will help the student greatly in solidifying his grasp of the principal concepts of classical dynamics. An annotated bibliography at the end of each chapter, a detailed table of contents and index, and selected end-of-chapter answers complete this highly instructive text.
商品描述(中文翻譯)
自從拉格朗日(Lagrange)在約兩個世紀前奠定了分析力學的基礎以來,這一學科持續演變和發展,吸收了哈密頓(Hamilton)和雅可比(Jacobi)的理論、愛因斯坦的相對論以及經典力學的進階理論。
本書旨在為科學和工程的研究生提供在動力學理論中更抽象且智力上令人滿意的領域的堅實背景。假設學生對向量力學的原則已經熟悉,並且在使用這一理論分析粒子系統及二維和三維剛體旋轉方面有一定的能力。
在第一章對基本概念進行簡明回顧後,作者從拉格朗日方程和哈密頓方程出發,進入哈密頓-雅可比理論和正則變換。主題包括達朗貝爾原理(d'Alembert's principle)和虛功的概念、拉格朗日運動方程的推導、拉格朗日方程的特殊應用、哈密頓方程、哈密頓-雅可比理論、正則變換以及相對論的介紹。
每章結尾的習題將大大幫助學生鞏固對經典動力學主要概念的理解。每章末尾的註釋書目、詳細的目錄和索引,以及選定的章末答案,為這本極具啟發性的文本增添了完整性。