Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers (Mathematical Engineering)
暫譯: 物理學家與工程師的張量分析與初等微分幾何(數學工程)

Hung Nguyen-Schäfer, Jan-Philip Schmidt

  • 出版商: Springer
  • 出版日期: 2014-07-16
  • 售價: $3,830
  • 貴賓價: 9.5$3,639
  • 語言: 英文
  • 頁數: 241
  • 裝訂: Hardcover
  • ISBN: 3662434431
  • ISBN-13: 9783662434437
  • 海外代購書籍(需單獨結帳)

商品描述

Tensors and methods of differential geometry are very useful mathematical tools in many fields of modern physics and computational engineering including relativity physics, electrodynamics, computational fluid dynamics (CFD), continuum mechanics, aero and vibroacoustics and cybernetics.

This book comprehensively presents topics, such as bra-ket notation, tensor analysis and elementary differential geometry of a moving surface. Moreover, authors intentionally abstain from giving mathematically rigorous definitions and derivations that are however dealt with as precisely as possible. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors and differential geometry and to use them in the physical and engineering world. The target audience primarily comprises graduate students in physics and engineering, research scientists and practicing engineers.

商品描述(中文翻譯)

張量和微分幾何的方法是現代物理學和計算工程中非常有用的數學工具,涵蓋了相對論物理學、電動力學、計算流體力學 (CFD)、連續介質力學、氣動聲學和振動聲學以及控制論等多個領域。

本書全面介紹了如 bra-ket 符號、張量分析和運動表面的初等微分幾何等主題。此外,作者故意避免給出數學上嚴謹的定義和推導,但仍然以盡可能精確的方式處理這些內容。讀者將獲得實際計算和詳細範例,從中學習如何處理 bra-ket 符號、張量和微分幾何,並在物理和工程領域中運用這些知識。目標讀者主要包括物理學和工程學的研究生、研究科學家以及實務工程師。