The Geometry of Physics: An Introduction, 3/e (Paperback)
暫譯: 物理的幾何學:入門,第3版(平裝本)
Theodore Frankel
- 出版商: Cambridge
- 出版日期: 2011-11-03
- 售價: $1,450
- 貴賓價: 9.8 折 $1,421
- 語言: 英文
- 頁數: 748
- 裝訂: Paperback
- ISBN: 1107602602
- ISBN-13: 9781107602601
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相關分類:
工程數學 Engineering-mathematics
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商品描述
This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles, and Chern forms that are helpful for a deeper understanding of both classical and modern physics and engineering. It is ideal for graduate and advanced undergraduate students of physics, engineering or mathematics as a course text or for self study.
A main addition introduced in this Third Edition is the inclusion of an Overview, which can be read before starting the text. This appears at the beginning of the text, before Chapter 1. Many of the geometric concepts developed in the text are previewed here and these are illustrated by their applications to a single extended problem in engineering, namely the study of the Cauchy stresses created by a small twist of an elastic cylindrical rod about its axis.
商品描述(中文翻譯)
這本書提供了外部微分形式、微分幾何、代數與微分拓撲、李群、向量束以及陳形式等部分的實用知識,這些知識對於深入理解古典與現代物理學及工程學非常有幫助。它非常適合物理學、工程學或數學的研究生及高年級本科生作為課程教材或自學之用。
本第三版的一個主要新增內容是加入了概述部分,讀者可以在開始閱讀正文之前先閱讀這部分。這部分位於文本的開頭,在第一章之前。文本中發展的許多幾何概念在此進行了預覽,並通過應用於一個工程中的單一擴展問題來進行說明,即研究由彈性圓柱杆繞其軸心小幅扭轉所產生的柯西應力。
