Differential Geometrical Methods In Theoretical Physics

Author : Bernard F. Schutz
Publisher : Cambridge University Press
ISBN 13 : 1107268141
Total Pages : 272 pages
Book Rating : 4.42/5 ( download)

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Download or read book Geometrical Methods of Mathematical Physics written by Bernard F. Schutz and published by Cambridge University Press. This book was released on 1980-01-28 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Bernard F. Schutz
Publisher : Cambridge University Press
ISBN 13 : 9780521298872
Total Pages : 272 pages
Book Rating : 4.73/5 ( download)

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Download or read book Geometrical Methods of Mathematical Physics written by Bernard F. Schutz and published by Cambridge University Press. This book was released on 1980-01-28 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: For physicists and applied mathematicians working in the fields of relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This book provides an introduction to the concepts and techniques of modern differential theory, particularly Lie groups, Lie forms and differential forms.

Author : Ling-Lie Chau
Publisher : Springer Science & Business Media
ISBN 13 : 1468491482
Total Pages : 795 pages
Book Rating : 4.87/5 ( download)

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Download or read book Differential Geometric Methods in Theoretical Physics written by Ling-Lie Chau and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 795 pages. Available in PDF, EPUB and Kindle. Book excerpt: After several decades of reduced contact, the interaction between physicists and mathematicians in the front-line research of both fields recently became deep and fruit ful again. Many of the leading specialists of both fields became involved in this devel opment. This process even led to the discovery of previously unsuspected connections between various subfields of physics and mathematics. In mathematics this concerns in particular knots von Neumann algebras, Kac-Moody algebras, integrable non-linear partial differential equations, and differential geometry in low dimensions, most im portantly in three and four dimensional spaces. In physics it concerns gravity, string theory, integrable classical and quantum field theories, solitons and the statistical me chanics of surfaces. New discoveries in these fields are made at a rapid pace. This conference brought together active researchers in these areas, reporting their results and discussing with other participants to further develop thoughts in future new directions. The conference was attended by SO participants from 15 nations. These proceedings document the program and the talks at the conference. This conference was preceded by a two-week summer school. Ten lecturers gave extended lectures on related topics. The proceedings of the school will also be published in the NATO-AS[ volume by Plenum. The Editors vii ACKNOWLEDGMENTS We would like to thank the many people who have made the conference a success. Furthermore, ·we appreciate the excellent talks. The active participation of everyone present made the conference lively and stimulating. All of this made our efforts worth while.

Author : K. Bleuler
Publisher : Springer Science & Business Media
ISBN 13 : 9401578095
Total Pages : 474 pages
Book Rating : 4.97/5 ( download)

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Download or read book Differential Geometrical Methods in Theoretical Physics written by K. Bleuler and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Research Workshop and the 16th International Conference, Como, Italy, August 24-29, 1987

Author : Mo-Lin Ge
Publisher : World Scientific
ISBN 13 : 9812703772
Total Pages : 542 pages
Book Rating : 4.74/5 ( download)

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Download or read book Differential Geometry and Physics written by Mo-Lin Ge and published by World Scientific. This book was released on 2006 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volumes provides a comprehensive review of interactions between differential geometry and theoretical physics, contributed by many leading scholars in these fields. The contributions promise to play an important role in promoting the developments in these exciting areas. Besides the plenary talks, the coverage includes: models and related topics in statistical physics; quantum fields, strings and M-theory; Yang-Mills fields, knot theory and related topics; K-theory, including index theory and non-commutative geometry; mirror symmetry, conformal and topological quantum field theory; development of integrable systems; and random matrix theory.

Author : P. L. Garcia
Publisher :
ISBN 13 : 9783662211038
Total Pages : 556 pages
Book Rating : 4.33/5 ( download)

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Download or read book Differential Geometrical Methods in Mathematical Physics written by P. L. Garcia and published by . This book was released on 2014-01-15 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : P. L. Garcia
Publisher : Springer
ISBN 13 : 3540384057
Total Pages : 551 pages
Book Rating : 4.52/5 ( download)

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Download or read book Differential Geometrical Methods in Mathematical Physics written by P. L. Garcia and published by Springer. This book was released on 2006-11-15 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Sultan Catto
Publisher : World Scientific
ISBN 13 : 9814555509
Total Pages : 1228 pages
Book Rating : 4.00/5 ( download)

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Download or read book Differential Geometric Methods In Theoretical Physics - Proceedings Of The Xx International Conference (In 2 Volumes) written by Sultan Catto and published by World Scientific. This book was released on 1992-01-27 with total page 1228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings reports on some of the most recent advances on the interaction between Differential Geometry and Theoretical Physics, a very active and exciting area of contemporary research.The papers are grouped into the following four broad categories: Geometric Methods, Noncommutative Geometry, Quantum Gravity and Topological Quantum Field Theory. A few of the topics covered are Chern-Simons Theory and Generalizations, Knot Invariants, Models of 2D Gravity, Quantum Groups and Strings on Black Holes.

Author : Claudio Bartocci
Publisher : Springer
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.55/5 ( download)

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Download or read book Differential Geometric Methods in Theoretical Physics written by Claudio Bartocci and published by Springer. This book was released on 1991 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry, if understood properly, is still the closest link between mathematics and theoretical physics, even for quantum concepts. In this collection of outstanding survey articles the concept of non-commutation geometry and the idea of quantum groups are discussed from various points of view. Furthermore the reader will find contributions to conformal field theory and to superalgebras and supermanifolds. The book addresses both physicists and mathematicians.

Author : Maria Ulan
Publisher : Springer Nature
ISBN 13 : 3030632539
Total Pages : 231 pages
Book Rating : 4.33/5 ( download)

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Download or read book Differential Geometry, Differential Equations, and Mathematical Physics written by Maria Ulan and published by Springer Nature. This book was released on 2021-02-12 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents lectures given at the Wisła 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wisła, Poland, and was organized by the Baltic Institute of Mathematics. The lectures were dedicated to symplectic and Poisson geometry, tractor calculus, and the integration of ordinary differential equations, and are included here as lecture notes comprising the first three chapters. Following this, chapters combine theoretical and applied perspectives to explore topics at the intersection of differential geometry, differential equations, and mathematical physics. Specific topics covered include: Parabolic geometry Geometric methods for solving PDEs in physics, mathematical biology, and mathematical finance Darcy and Euler flows of real gases Differential invariants for fluid and gas flow Differential Geometry, Differential Equations, and Mathematical Physics is ideal for graduate students and researchers working in these areas. A basic understanding of differential geometry is assumed.