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＜電子ブック＞
Tensor Analysis and Continuum Mechanics / by Y.R. Talpaert

版	1st ed. 2002.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	2002
本文言語	英語
大きさ	XVI, 591 p : online resource
著者標目	*Talpaert, Y.R author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Mechanics, Applied LCSH:Solids LCSH:Mechanics LCSH:Algebras, Linear FREE:Applications of Mathematics FREE:Solid Mechanics FREE:Classical Mechanics FREE:Linear Algebra
一般注記	1. Tensors -- 2 Lagrangian and Eulerian Descriptions -- 3 Deformations -- 4 Kinematics of Continua -- 5 Fundamental Laws; Principle of Virtual Work -- 6 Linear Elasticity -- Summary of Formulae -- Glossary of Symbols This book is designed for students in engineering, physics and mathematics. The material can be taught from the beginning of the third academic year. It could also be used for self­ study, given its pedagogical structure and the numerous solved problems which prepare for modem physics and technology. One of the original aspects of this work is the development together of the basic theory of tensors and the foundations of continuum mechanics. Why two books in one? Firstly, Tensor Analysis provides a thorough introduction of intrinsic mathematical entities, called tensors, which is essential for continuum mechanics. This way of proceeding greatly unifies the various subjects. Only some basic knowledge of linear algebra is necessary to start out on the topic of tensors. The essence of the mathematical foundations is introduced in a practical way. Tensor developments are often too abstract, since they are either aimed at algebraists only, or too quickly applied to physicists and engineers. Here a good balance has been found which allows these extremes to be brought closer together. Though the exposition of tensor theory forms a subject in itself, it is viewed not only as an autonomous mathematical discipline, but as a preparation for theories of physics and engineering. More specifically, because this part of the work deals with tensors in general coordinates and not solely in Cartesian coordinates, it will greatly help with many different disciplines such as differential geometry, analytical mechanics, continuum mechanics, special relativity, general relativity, cosmology, electromagnetism, quantum mechanics, etc HTTP:URL=https://doi.org/10.1007/978-94-015-9988-7

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