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Global Geometry And Mathematical Physics


Global Geometry And Mathematical Physics
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Global Geometry And Mathematical Physics


Global Geometry And Mathematical Physics
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Author : L. Francaviglia M. Alvarez-Gaume
language : en
Publisher:
Release Date : 2014-01-15

Global Geometry And Mathematical Physics written by L. Francaviglia M. Alvarez-Gaume and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Global Geometry And Mathematical Physics


Global Geometry And Mathematical Physics
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Author : L. Alvarez-Gaume
language : en
Publisher: Springer
Release Date : 2006-11-14

Global Geometry And Mathematical Physics written by L. Alvarez-Gaume and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.




Differential Geometry And Mathematical Physics


Differential Geometry And Mathematical Physics
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Author : Gerd Rudolph
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-09

Differential Geometry And Mathematical Physics written by Gerd Rudolph and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-09 with Science categories.


Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact.



Applications Of Global Analysis In Mathematical Physics


Applications Of Global Analysis In Mathematical Physics
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Author : Jerrold E. Marsden
language : en
Publisher:
Release Date : 1993

Applications Of Global Analysis In Mathematical Physics written by Jerrold E. Marsden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Global analysis (Mathematics) categories.




Mathematical Aspects Of String Theory


Mathematical Aspects Of String Theory
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Author : Shing-Tung Yau
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1987

Mathematical Aspects Of String Theory written by Shing-Tung Yau and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Science categories.




Schr Dinger Operators


Schr Dinger Operators
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Author : Hans L. Cycon
language : en
Publisher: Springer
Release Date : 2009-08-19

Schr Dinger Operators written by Hans L. Cycon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-19 with Science categories.


A complete understanding of Schrödinger operators is a necessary prerequisite for unveiling the physics of nonrelativistic quanturn mechanics. Furthermore recent research shows that it also helps to deepen our insight into global differential geometry. This monograph written for both graduate students and researchers summarizes and synthesizes the theory of Schrödinger operators emphasizing the progress made in the last decade by Lieb, Enss, Witten and others. Besides general properties, the book covers, in particular, multiparticle quantum mechanics including bound states of Coulomb systems and scattering theory, quantum mechanics in constant electric and magnetic fields, Schrödinger operators with random and almost periodic potentials and, finally, Schrödinger operator methods in differential geometry to prove the Morse inequalities and the index theorem.



Global Geometry And Mathematical Physics


Global Geometry And Mathematical Physics
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Author :
language : en
Publisher:
Release Date : 1990

Global Geometry And Mathematical Physics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.




Modern Differential Geometry For Physicists


Modern Differential Geometry For Physicists
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Author : Chris J. Isham
language : en
Publisher: Allied Publishers
Release Date : 2002

Modern Differential Geometry For Physicists written by Chris J. Isham and has been published by Allied Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Geometry, Differential categories.




Geometrical Methods Of Mathematical Physics


Geometrical Methods Of Mathematical Physics
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Author : Bernard F. Schutz
language : en
Publisher: Cambridge University Press
Release Date : 1980-01-28

Geometrical Methods Of Mathematical Physics written by Bernard F. Schutz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-01-28 with Science categories.


In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.



Symplectic Geometry And Mathematical Physics


Symplectic Geometry And Mathematical Physics
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Author : Paul Donato
language : en
Publisher: Birkhauser
Release Date : 1991

Symplectic Geometry And Mathematical Physics written by Paul Donato and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.


The proceedings of a June 1990 conference in Aix-en-Provence, France, containing 22 papers (of which seven are in French). Many include findings that will not be published elsewhere, in such areas of geometric quantization as Poisson manifolds, simplectic geometry, classical mechanics, and particles and fields in physics. No subject index. Annotation copyrighted by Book News, Inc., Portland, OR