My Library

University LibraryCatalogue


LEADER 00000cam  2200493Mi 4500 
003    OCoLC 
005    20140506114953.0 
006    m     o  d         
007    cr mnu---uuaaa 
008    121227s1994    nyu     o     000 0 eng   
019    SPRINGERocn853258887 
020    9781441985224|q(electronic bk.) 
020    1441985220|q(electronic bk.) 
020    |z9781461264248 
020    |z1461264243 
020    |z1441985220 
035    (OCoLC)853258887 
040    AU@|beng|epn|cAU@|dOCLCO|dGW5XE|dOCLCQ 
049    UMVA 
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). 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
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
       Melbourne only) 
990    Ebook load  - do not edit, delete or attach any records. 
994    92|bUMV 
Location Call No. Status
 UniM INTERNET resource    AVAILABLE