A Brief on Tensor Analysis pdf epub mobi txt 电子书 下载 2025
- 数学
- 张量分析
- tensor
- 向量分析
- math
- geometry
- Mathematics
- 线性代数
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
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让数学家写数学书给物理专业的人读，简直就是恶梦。而作者还在前言里称是由于市面上关于此话题没有一本易于理解的书存在自己才写的，而且标注是本科层次。。。
评分很简洁，很清楚，比较“物理化”
评分我的张量入门书
评分让数学家写数学书给物理专业的人读，简直就是恶梦。而作者还在前言里称是由于市面上关于此话题没有一本易于理解的书存在自己才写的，而且标注是本科层次。。。
评分从物理入手 简单明了
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