Classical Mechanics
暫譯: 經典力學

Curry, James

  • 出版商: Independently Published
  • 出版日期: 2023-05-11
  • 售價: $3,080
  • 貴賓價: 9.5$2,926
  • 語言: 英文
  • 頁數: 538
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 9798393730994
  • ISBN-13: 9798393730994
  • 立即出貨 (庫存=1)

商品描述

Hamiltonian and Lagrangian Dynamics (HLD) are two interrelated regimes and sets of techniques that can be used to solve Classical Mechanics problems, like Newtonian Physics does, but HLD is much more powerful and flexible, making manageable the otherwise intractable. In addition, HLD provides intuitive insight and guides approximation techniques. Most importantly, HLD is a foundation for Quantum Mechanics, Quantum Field Theory, Elementary Particle Physics, Solid State Physics and Celestial Mechanics.
The book begins with Newtonian Mechanics, and Special Relativity, then HLD, and goes on to cover the usual applications in the physics curriculum.
This book emphasizes geometric reasoning in both the exposition and in exercises.
The author has also written a book on Linear Algebra for Physicists and Engineers, wherein the necessary mathematics is treated lovingly. I treat rotations, Hermitian matrices, Functional Analysis, with a derivation of the Euler Lagrange equation, Lie Groups, Elliptic Function Theory.
The book is intended to be useful for undergraduates and graduate students in Physics and Engineering and Mathematics.

商品描述(中文翻譯)

哈密頓與拉格朗日動力學(HLD)是兩個相互關聯的範疇和技術集,可以用來解決經典力學問題,類似於牛頓物理學,但HLD更為強大和靈活,使得原本難以處理的問題變得可管理。此外,HLD提供了直觀的見解並指導近似技術。最重要的是,HLD是量子力學、量子場論、基本粒子物理學、固態物理學和天體力學的基礎。

本書從牛頓力學和特殊相對論開始,然後介紹HLD,接著涵蓋物理課程中的常見應用。本書強調幾何推理,無論是在闡述還是練習中。作者還撰寫了一本針對物理學家和工程師的線性代數書籍,其中對必要的數學進行了細緻的處理。我探討了旋轉、厄米矩陣、泛函分析,並推導了歐拉-拉格朗日方程、李群、橢圓函數理論。

本書旨在對物理學、工程學和數學的本科生及研究生有所幫助。

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