图书标签: 数学 张量分析 tensor 向量分析 math geometry Mathematics 线性代数
发表于2024-09-09
A Brief on Tensor Analysis pdf epub mobi txt 电子书 下载 2024
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
张量分析一定是自学物理人的最大的痛苦之一!其实,它不是难在符号,而是难在它含有的内容。不是你张量不理解,而是你的曲线和曲面微分几何没有理解。张量是什么?其实是组合数学!!
评分很简洁,很清楚,比较“物理化”
评分我的张量入门书
评分从物理入手 简单明了
评分很简洁,很清楚,比较“物理化”
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A Brief on Tensor Analysis pdf epub mobi txt 电子书 下载 2024