A Brief on Tensor Analysis pdf epub mobi txt 电子书下载 2025

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出版者:Springer

作者:Simmonds, James G.

出品人:

页数:112

译者:

出版时间:1997

价格:USD 49.95

装帧:Hardcover

isbn号码:9780387940885

丛书系列:Undergraduate Texts in Mathematics

图书标签:

数学
张量分析
tensor
向量分析
math
geometry
Mathematics
线性代数

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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