A Brief on Tensor Analysis

A Brief on Tensor Analysis pdf epub mobi txt 電子書 下載2025

出版者:Springer
作者:Simmonds, James G.
出品人:
頁數:112
译者:
出版時間:1997
價格:USD 49.95
裝幀:Hardcover
isbn號碼:9780387940885
叢書系列:Undergraduate Texts in Mathematics
圖書標籤:
  • 數學
  • 張量分析
  • tensor
  • 嚮量分析
  • math
  • geometry
  • Mathematics
  • 綫性代數
  • tensor analysis
  • mathematics
  • linear algebra
  • physics
  • engineering
  • differential geometry
  • vector calculus
  • applied mathematics
  • scientific computing
  • machine learning
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具體描述

This new edition is intended for third and fourth year undergraduates in Engineering, Physics, Mathematics, and the Applied Sciences, and can serve as a springboard for further work in Continuum Mechanics or General Relativity. Starting from a basic knowledge of calculus and matrix algebra, together with fundamental ideas from mechanics and geometry, the text gradually develops the tools for formulating and manipulating the field equations of Continuum Mechanics. The mathematics of tensor analysis is introduced in well-separated stages: the concept of a tensor as an operator; the representation of a tensor in terms of its Cartesian components; the components of a tensor relative to a general basis, tensor notation, and finally, tensor calculus. The physical interpretation and application of vectors and tensors are stressed throughout. Though concise, the text is written in an informal, non-intimidating style enhanced by worked-out problems and a meaningful variety of exercises. The new edition includes more exercises, especially at the end of chapter IV. Furthermore, the author has appended a section on Differential Geometry, the essential mathematical tool in the study of the 2-dimensional structural shells and 4-dimensional general relativity.

Written for:

Undergraduate Math Students

Keywords:

* Analysis

* Brief

* Tensoranalysis

著者簡介

圖書目錄

讀後感

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用戶評價

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張量分析一定是自學物理人的最大的痛苦之一!其實,它不是難在符號,而是難在它含有的內容。不是你張量不理解,而是你的麯綫和麯麵微分幾何沒有理解。張量是什麼?其實是組閤數學!!

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很簡潔,很清楚,比較“物理化”

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從物理入手 簡單明瞭

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我的張量入門書

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張量分析一定是自學物理人的最大的痛苦之一!其實,它不是難在符號,而是難在它含有的內容。不是你張量不理解,而是你的麯綫和麯麵微分幾何沒有理解。張量是什麼?其實是組閤數學!!

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