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Field name	Details
Dewey Class	519
Title	Tensor Analysis and Continuum Mechanics ([EBook] /) / by Yves R. Talpaert.
Author	Talpaert, Yves R.
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : : Springer Netherlands : : Imprint: Springer, , 2002.
Physical Details	XVI, 591 p. : online resource.
ISBN	9789401599887
Summary Note	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 .:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-015-9988-7
Links to Related Works	Subject References: Algebra . Applications of Mathematics . Applied mathematics . Continuum Mechanics . Continuum Mechanics and Mechanics of Materials . Engineering mathematics . Linear and Multilinear Algebras, Matrix Theory . Mathematics . Matrix theory . Mechanics . Authors: Talpaert, Yves R. . Corporate Authors: SpringerLink (Online service) . Classification: 519 .

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Tensor Analysis and Continuum Mechanics

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