Mathematical Methods of Classical Mechanics (Hardcover)
暫譯: 經典力學的數學方法 (精裝版)
V. I. Arnold
- 出版商: Springer
- 出版日期: 1989-05-16
- 售價: $3,250
- 貴賓價: 9.8 折 $3,185
- 語言: 英文
- 頁數: 520
- 裝訂: Hardcover
- ISBN: 0387968903
- ISBN-13: 9780387968902
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相關分類:
工程數學 Engineering-mathematics
海外代購書籍(需單獨結帳)
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商品描述
This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.
商品描述(中文翻譯)
本書從頭開始構建經典力學的數學工具,探討動力學中的基本問題,如振動理論和哈密頓形式主義。作者強調幾何考量,並包括相空間和流、向量場以及李群。討論內容涵蓋動態系統理論的定性方法以及漸近方法,如平均法和絕熱不變性。
