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LEADER 00000cam 2200493Mi 4500
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008 121227s1994 nyu o 000 0 eng
020 9781441985224|q(electronic bk.)
020 1441985220|q(electronic bk.)
050 4 QA299.6-433
072 7 PBK|2bicssc
072 7 MAT034000|2bisacsh
082 04 515|223
100 1 Simmonds, James G.
245 12 A Brief on Tensor Analysis|h[electronic resource] /|cby
James G. Simmonds.
250 Second edition.
260 New York, NY :|bSpringer New York,|c1994.
300 1 online resource (xiv, 114 pages).
338 online resource|bcr|2rdacarrier
490 1 Undergraduate Texts in Mathematics,|x0172-6056
505 0 Preface to the Second Edition -- Preface to the First
Edition -- Introduction: Vectors and Tensors -- General
Bases and Tensor Notation. -- Newton's Law and Tensor
Calculus -- The Gradient, the Del Operator, Covariant
Differentiation, and the Divergence Theorem.
520 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.
650 0 Mathematics.
650 0 Global analysis (Mathematics)
655 4 Electronic books.
776 08 |iPrint version:|z9781461264248
830 0 Undergraduate texts in mathematics.
856 40 |3SpringerLink|uhttp://dx.doi.org.ezp.lib.unimelb.edu.au/
10.1007/978-1-4419-8522-4|zConnect to ebook (University of
990 Ebook load - do not edit, delete or attach any records.