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This book presents a survey of Topology and Differential Geometry and also, Lie Groups and Algebras, and their Representations. The first topic is indispensable to students of gravitation and related areas of modern physics (including string theory), while the second has applications in gauge theory and particle physics, integrable systems and nuclear physics.
Part I provides a simple introduction to basic topology, followed by a survey of homotopy. Calculus of differentiable manifolds is then developed, and a Riemannian metric is introduced along with the key concepts of connections and curvature. The final chapters lay out the basic notions of simplicial homology and de Rham cohomology as well as fibre bundles, particularly tangent and cotangent bundles.
Part II starts with a review of group theory, followed by the basics of representation theory. A thorough description of Lie groups and algebras is presented with their structure constants and linear representations. Root systems and their classifications are detailed, and this section of the book concludes with the description of representations of simple Lie algebras, emphasizing spinor representations of orthogonal and pseudo-orthogonal groups.
The style of presentation is succinct and precise. Involved mathematical proofs that are not of primary importance to physics student are omitted. The book aims to provide the reader access to a wide variety of sources in the current literature, in addition to being a textbook of advanced mathematical methods for physicists. --Book Jacket.
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Previews available in: English
Subjects
Mathematical physicsEdition | Availability |
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1
Lectures on Advanced Mathematical Methods for Physicists
2010, World Scientific Publishing Co Pte Ltd
in English
981429974X 9789814299749
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Libraries near you:
WorldCat
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2
Lectures on advanced mathematical methods for physicists
2010, World Scientific
in English
9814299731 9789814299732
|
aaaa
Libraries near you:
WorldCat
|
3
Lectures on Advanced Mathematical Methods for Physicists
2010, World Scientific Publishing Co Pte Ltd
in English
1282763644 9781282763647
|
zzzz
Libraries near you:
WorldCat
|
Book Details
Edition Notes
"Hindustan Book Agency" distributor for India.
Includes bibliographical references (p.[273]-274) and index.
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Feedback?July 5, 2019 | Edited by MARC Bot | import existing book |
June 20, 2012 | Created by LC Bot | import new book |