Tensors and Manifolds: With Applications to Physics by Robert H. Wasserman (Engl

Description: Tensors and Manifolds by Robert H. Wasserman This book sets forth the basic principles of tensors and manifolds and describes how the mathematics underlies elegant geometrical models of classical mechanics, relativity and elementary particle physics. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description 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 expanse of 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 andphysics students require in their advanced training, while simultaneously trying to promote, at an early stage, a better appreciation and understanding of each others discipline. The book sets forththe basic principles of tensors and manifolds, describing how the mathematics underlies elegant geometrical models of classical mechanics, relativity and elementary particle physics. The existing material from the first edition has been reworked and extended in some sections to provide extra clarity, as well as additional problems. Four new chapters on Lie groups and fibre bundles have been included, leading to an exposition of gauge theory and the standard model of elementary particle physics.Mathematical rigour combined with an informal style makes this a very accessible book and will provide the reader with an enjoyable panorama of interesting mathematics and physics. Author Biography Robert H. Wasserman is Professor Emeritus of Mathematics at Michigan State University, USA. Table of Contents 1: Vector spaces2: Multilinear mappings and dual spaces3: Tensor product spaces4: Tensors5: Symmetric and skew-symmetric tensors6: Exterior (Grassmann) algebra7: The tangent map of real cartesian spaces8: Topological spaces9: Differentiable manifolds10: Submanifolds11: Vector fields, 1-forms and other tensor fields12: Differentiation and integration of differential forms13: The flow and the Lie derivative of a vector field14: Integrability conditions for distributions and for pfaffian systems15: Pseudo-Riemannian manifolds16: Connection 1-forms17: Connection on manifolds18: Mechanics19: Additional topics in mechanics20: A spacetime21: Some physics on Minkowski spacetime22: Einstein spacetimes23: Spacetimes near an isolated star24: Nonempty spacetimes25: Lie groups26: Fiber bundles27: Connections on fiber bundles28: Gauge theory Review `Review from previous edition Clearly written and self-contained and, in particular, the author has succeeded in combining mathematical rigor with a certain degree of informality in a satisfactory way. As such, this work will certainly be appreciated by a wide audience.Mathematical Reviews, August 1993 Long Description 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 expanse of 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 andphysics students require in their advanced training, while simultaneously trying to promote, at an early stage, a better appreciation and understanding of each others discipline. The book sets forth the basic principles of tensors and manifolds, describing how the mathematics underlies elegantgeometrical models of classical mechanics, relativity and elementary particle physics. The existing material from the first edition has been reworked and extended in some sections to provide extra clarity, as well as additional problems. Four new chapters on Lie groups and fibre bundles have been included, leading to an exposition of gauge theory and the standard model of elementary particle physics. Mathematical rigour combined with an informal style makes this a very accessible book and willprovide the reader with an enjoyable panorama of interesting mathematics and physics. Review Text `Review from previous edition Clearly written and self-contained and, in particular, the author has succeeded in combining mathematical rigor with a certain degree of informality in a satisfactory way. As such, this work will certainly be appreciated by a wide audience.Mathematical Reviews, August 1993 Review Quote Review from previous edition Clearly written and self-contained and, inparticular, the author has succeeded in combining mathematical rigor with acertain degree of informality in a satisfactory way. As such, this work willcertainly be appreciated by a wide audience.Mathematical Reviews, August 1993 Feature Provides concise introduction to several branches of mathematical physics.Focuses on fundamental concepts, but avoids excessive technical details.Bridges gap between basic and highly specialised courses.Written in an informal style.Assumes minimal technical background.Enables early appreciation of modern mathematics and its application in modern physics. Details ISBN0198510594 Author Robert H. Wasserman Short Title TENSORS & MANIFOLDS 2/E Pages 464 Language English Edition 2nd ISBN-10 0198510594 ISBN-13 9780198510598 Media Book Format Hardcover Year 2004 Imprint Oxford University Press Subtitle With Applications to Physics Place of Publication Oxford Country of Publication United Kingdom Replaces 9780195065619 Affiliation Department of Mathematics, Michigan State University, USA Replaced by 9780199564828 DOI 10.1604/9780198510598 UK Release Date 2004-05-13 AU Release Date 2004-05-13 NZ Release Date 2004-05-13 Publisher Oxford University Press Edition Description 2nd Revised edition Publication Date 2004-05-13 Alternative 9780199564828 DEWEY 515.63 Illustrations numerous figures Audience Undergraduate We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:53299846;

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