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Tensors and manifolds : with applications to physics /

"This book is a new edition of Tensors and Manifolds: With Applications to Mechanics and Relativity which was published in 1992. It is based on courses taken by advanced undergraduate and beginning graduate students in mathematics and physics, giving an introduction to the expanses modern mathe...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Wasserman, Robert, 1923- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford ; New York : Oxford University Press, [2004]
Edición:Second edition.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Wasserman, Robert,  |d 1923-  |e author. 
245 1 0 |a Tensors and manifolds :  |b with applications to physics /  |c Robert H. Wasserman. 
250 |a Second edition. 
264 1 |a Oxford ;  |a New York :  |b Oxford University Press,  |c [2004] 
264 4 |c ©2004 
300 |a 1 online resource (xiv, 447 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references and index. 
505 0 |a Vector spaces -- Multilinear mappings and dual spaces -- Tensor product spaces -- Tensors -- Symmetric and skew-symmetric tensors -- Exterior (Grassmann) algebra -- The tangent map of real Cartesian spaces -- Topological spaces -- Differentiable manifolds -- Submanifolds -- Vector fields, 1-forms and other tensor fields -- Differentiation and integration of differential forms -- The flow and the lie derivative of a vector field -- Integrability conditions for distributions and for Pfaffian Systems -- Pseudo-Riemannian manifolds -- Connection 1-forms -- Connection on manifolds -- Mechanics -- Additional topics in mechanics -- A spacetime -- Some physics on Minkowski spacetime -- Einstein spacetimes -- Spacetimes near an isolated star -- Nonempty spacetimes-- Lie groups. -- Fiber bundles -- Connections on fiber bundles -- Gauge theory. 
520 1 |a "This book is a new edition of Tensors and Manifolds: With Applications to Mechanics and Relativity which was published in 1992. It is based on courses taken by advanced undergraduate and beginning graduate students in mathematics and physics, giving an introduction to the expanses modern mathematics and its application in modern physics. It aims to fill the gap between the basic courses and the highly technical and specialised courses which both mathematics and physics students require in their advanced training, while simultaneously trying to promote, at an early stage, a better appreciation and understanding of each other's discipline. 
520 8 |a The book sets forth the basic principles of tensors and manifolds, describing how the mathematics underlies elegant geometrical models of classical mechanics, relativity and elementary particle physics."--Jacket. 
588 0 |a Online resource; title from PDF title page (EBSCO, viewed June 15, 2017). 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Calculus of tensors. 
650 0 |a Manifolds (Mathematics) 
650 0 |a Mathematical physics. 
650 0 |a Generalized spaces. 
650 0 |a Mechanics. 
650 0 |a Relativity (Physics) 
650 6 |a Calcul tensoriel. 
650 6 |a Variétés (Mathématiques) 
650 6 |a Physique mathématique. 
650 6 |a Espaces généralisés. 
650 6 |a Mécanique. 
650 6 |a Relativité (Physique) 
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650 7 |a SCIENCE  |x Physics  |x General.  |2 bisacsh 
650 7 |a Calculus of tensors.  |2 fast  |0 (OCoLC)fst00844137 
650 7 |a Generalized spaces.  |2 fast  |0 (OCoLC)fst00939840 
650 7 |a Manifolds (Mathematics)  |2 fast  |0 (OCoLC)fst01007726 
650 7 |a Mathematical physics.  |2 fast  |0 (OCoLC)fst01012104 
650 7 |a Mechanics.  |2 fast  |0 (OCoLC)fst01013446 
650 7 |a Relativity (Physics)  |2 fast  |0 (OCoLC)fst01093604 
776 0 8 |i Print version:  |a Wasserman, Robert, 1923-  |t Tensors and manifolds.  |b Second edition.  |d Oxford ; New York : Oxford University Press, [2004]  |z 9780198510598  |z 0198510594  |w (OCoLC)299242457 
856 4 0 |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1533601  |z Texto completo 
880 8 |6 505-00/(S  |a 3.2 Generalizations, isomorphisms, and a characterization3.3 Tensor products of infinite-dimensional vector spaces; 4 Tensors; 4.1 Definitions and alternative interpretations; 4.2 The components of tensors; 4.3 Mappings of the spaces V(sup[r]sub[s]); 5 Symmetric and Skew-Symmetric Tensors; 5.1 Symmetry and skew-symmetry; 5.2 The symmetric subspace of V(sup[0]sub[s]); 5.3 The skew-symmetric (alternating) subspace of V(sup[0]sub[s]); 5.4 Some special properties of S(sup[2])(V*) and Λ(sup[2](V*); 6 Exterior (Grassmann) Algebra; 6.1 Tensor algebras 
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