Solved Problems in Lagrangian and Hamiltonian Mechanics (Hardcover)
暫譯: 拉格朗日與哈密頓力學中的解題技巧 (精裝版)
Claude Gignoux, Bernard Silvestre-Brac
- 出版商: Springer
- 出版日期: 2009-07-17
- 售價: $4,600
- 貴賓價: 9.5 折 $4,370
- 語言: 英文
- 頁數: 464
- 裝訂: Hardcover
- ISBN: 9048123925
- ISBN-13: 9789048123926
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商品描述
The aim of this work is to bridge the gap between the well-known Newtonian mechanics and the studies on chaos, ordinarily reserved to experts. Several topics are treated: Lagrangian, Hamiltonian and Jacobi formalisms, studies of integrable and quasi-integrable systems. The chapter devoted to chaos also enables a simple presentation of the KAM theorem. All the important notions are recalled in summaries of the lectures. They are illustrated by many original problems, stemming from real-life situations, the solutions of which are worked out in great detail for the benefit of the reader. This book will be of interest to undergraduate students as well as others whose work involves mechanics, physics and engineering in general.
商品描述(中文翻譯)
本書的目的是彌合著名的牛頓力學與通常僅限於專家的混沌研究之間的鴻溝。書中探討了幾個主題:拉格朗日(Lagrangian)、哈密頓(Hamiltonian)和雅可比(Jacobi)形式,還有可積分系統和準可積分系統的研究。專門討論混沌的章節也簡單介紹了KAM定理。所有重要的概念都在講座的摘要中重申,並通過許多源自現實情況的原創問題進行說明,這些問題的解決方案都詳細闡述,以便讀者理解。本書將對本科生以及其他從事力學、物理學和工程學等相關工作的讀者感興趣。