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020 _a9783319315201
_9978-3-319-31520-1
024 7 _a10.1007/978-3-319-31520-1
_2doi
050 4 _aTA349-359
072 7 _aTGB
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTGB
_2thema
082 0 4 _a620.1
_223
100 1 _ade Souza Sánchez Filho, Emil.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_956860
245 1 0 _aTensor Calculus for Engineers and Physicists
_h[electronic resource] /
_cby Emil de Souza Sánchez Filho.
250 _a1st ed. 2016.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aXXIX, 345 p. 60 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aChapter 1 Fundamental Concepts -- Chapter 2 Covariant, Absolute and Contravariant Differentiation -- Chapter 3 Integral Theorems -- Chapter 4 Differential Operators -- Chapter 5 Riemann Spaces -- Chapter 6 Parallelisms of Vectors.
520 _aThis textbook provides a rigorous approach to tensor manifolds in several aspects relevant for Engineers and Physicists working in industry or academia. With a thorough, comprehensive, and unified presentation, this book offers insights into several topics of tensor analysis, which covers all aspects of N dimensional spaces. The main purpose of this book is to give a self-contained yet simple, correct and comprehensive mathematical explanation of tensor calculus for undergraduate and graduate students and for professionals. In addition to many worked problems, this book features a selection of examples, solved step by step. Although no emphasis is placed on special and particular problems of Engineering or Physics, the text covers the fundamentals of these fields of science. The book makes a brief introduction into the basic concept of the tensorial formalism so as to allow the reader to make a quick and easy review of the essential topics that enable having the grounds for the subsequent themes, without needing to resort to other bibliographical sources on tensors. Chapter 1 deals with Fundamental Concepts about tensors and chapter 2 is devoted to the study of covariant, absolute and contravariant derivatives. The chapters 3 and 4 are dedicated to the Integral Theorems and Differential Operators, respectively. Chapter 5 deals with Riemann Spaces, and finally the chapter 6 presents a concise study of the Parallelism of Vectors. It also shows how to solve various problems of several particular manifolds.
650 0 _aMechanics, Applied.
_93253
650 0 _aMathematical physics.
_911013
650 1 4 _aEngineering Mechanics.
_931830
650 2 4 _aMathematical Methods in Physics.
_931865
650 2 4 _aMathematical Physics.
_911013
710 2 _aSpringerLink (Online service)
_956861
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319315195
776 0 8 _iPrinted edition:
_z9783319315218
776 0 8 _iPrinted edition:
_z9783319810560
856 4 0 _uhttps://doi.org/10.1007/978-3-319-31520-1
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c79829
_d79829