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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很簡潔，很清楚，比較“物理化”
评分讓數學傢寫數學書給物理專業的人讀，簡直就是惡夢。而作者還在前言裏稱是由於市麵上關於此話題沒有一本易於理解的書存在自己纔寫的，而且標注是本科層次。。。
评分很簡潔，很清楚，比較“物理化”
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评分很簡潔，很清楚，比較“物理化”
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