Introductory Differential Geometry For Physicists
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Introductory Differential Geometry For Physicists
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Author : A Visconti
language : en
Publisher: World Scientific Publishing Company
Release Date : 1992-10-09
Introductory Differential Geometry For Physicists written by A Visconti and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10-09 with categories.
This book develops the mathematics of differential geometry in a way more intelligible to physicists and other scientists interested in this field. This book is basically divided into 3 levels; level 0, the nearest to intuition and geometrical experience, is a short summary of the theory of curves and surfaces; level 1 repeats, comments and develops upon the traditional methods of tensor algebra analysis and level 2 is an introduction to the language of modern differential geometry. A final chapter (chapter IV) is devoted to fibre bundles and their applications to physics. Exercises are provided to amplify the text material.
Introductory Differential Geometry For Physicists
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Author : Antoine Visconti
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1992
Introductory Differential Geometry For Physicists written by Antoine Visconti 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 1992 with Mathematics categories.
This book develops the mathematics of differential geometry in a way more intelligible to physicists and other scientists interested in this field. This book is basically divided into 3 levels; level 0, the nearest to intuition and geometrical experience, is a short summary of the theory of curves and surfaces; level 1 repeats, comments and develops upon the traditional methods of tensor algebra analysis and level 2 is an introduction to the language of modern differential geometry. A final chapter (chapter IV) is devoted to fibre bundles and their applications to physics. Exercises are provided to amplify the text material.
A Brief Introduction To Topology And Differential Geometry In Condensed Matter Physics
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Author : Antonio Sergio Teixeira Pires
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2019-03-21
A Brief Introduction To Topology And Differential Geometry In Condensed Matter Physics written by Antonio Sergio Teixeira Pires and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-21 with Science categories.
In the last years there have been great advances in the applications of topology and differential geometry to problems in condensed matter physics. Concepts drawn from topology and geometry have become essential to the understanding of several phenomena in the area. Physicists have been creative in producing models for actual physical phenomena which realize mathematically exotic concepts and new phases have been discovered in condensed matter in which topology plays a leading role. An important classification paradigm is the concept of topological order, where the state characterizing a system does not break any symmetry, but it defines a topological phase in the sense that certain fundamental properties change only when the system passes through a quantum phase transition. The main purpose of this book is to provide a brief, self-contained introduction to some mathematical ideas and methods from differential geometry and topology, and to show a few applications in condensed matter. It conveys to physicists the basis for many mathematical concepts, avoiding the detailed formality of most textbooks.
An Introduction To Differential Geometry And Topology In Mathematical Physics
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Author : Wang Rong
language : en
Publisher: World Scientific
Release Date : 1999-01-18
An Introduction To Differential Geometry And Topology In Mathematical Physics written by Wang Rong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-18 with Mathematics categories.
This book gives an outline of the developments of differential geometry and topology in the twentieth century, especially those which will be closely related to new discoveries in theoretical physics.
Modern Differential Geometry For Physicists
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Author : Chris J. Isham
language : en
Publisher: World Scientific
Release Date : 1999
Modern Differential Geometry For Physicists written by Chris J. Isham and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Science categories.
"The result is a book which provides a rapid initiation to the material in question with care and sufficient detail to allow the reader to emerge with a genuine familiarity with the foundations of these subjects".Mathematical Reviews"This book is carefully written, and attention is paid to rigor and relevant details The key notions are discussed with great care and from many points of view, which attenuates the shock of the formalism". Mathematical Reviews
The Geometry Of Physics
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Author : Frankel Theodore
language : en
Publisher: 清华大学出版社有限公司
Release Date : 2005
The Geometry Of Physics written by Frankel Theodore and has been published by 清华大学出版社有限公司 this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Geometry, Differential categories.
Modern Differential Geometry For Physicists
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Author : C. J. Isham
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1989-01-01
Modern Differential Geometry For Physicists written by C. J. Isham 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 1989-01-01 with Mathematics categories.
Introductory text for graduate physics students. The three sections deal with introductory coordinate-free differential geometry; geometrical aspects of the theory of Lie groups and Lie group actions on manifolds; and introduction to the theory of fiber bundles. Acidic paper. Paper edition (unseen), $22. Annotation copyrighted by Book News, Inc., Portland, OR
An Introduction To Geometrical Physics
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Author : Aldrovandi Ruben
language : en
Publisher: World Scientific
Release Date : 2016-10-07
An Introduction To Geometrical Physics written by Aldrovandi Ruben and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-07 with Science categories.
This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature -- gravitational, electromagnetic, strong nuclear, and weak nuclear. The book provides in a single volume a thorough introduction to topology and differential geometry, as well as many applications to both mathematical and physical problems. It is aimed as an elementary text and is intended for first year graduate students. In addition to the traditional contents of books on special and general relativities, this book discusses also some recent advances such as de Sitter invariant special relativity, teleparallel gravity and their implications in cosmology for those wishing to reach a higher level of understanding.
Introduction To Mathematical Physics
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Author : Michael T. Vaughn
language : en
Publisher: John Wiley & Sons
Release Date : 2008-09-26
Introduction To Mathematical Physics written by Michael T. Vaughn and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-26 with Science categories.
A comprehensive survey of all the mathematical methods that should be available to graduate students in physics. In addition to the usual topics of analysis, such as infinite series, functions of a complex variable and some differential equations as well as linear vector spaces, this book includes a more extensive discussion of group theory than can be found in other current textbooks. The main feature of this textbook is its extensive treatment of geometrical methods as applied to physics. With its introduction of differentiable manifolds and a discussion of vectors and forms on such manifolds as part of a first-year graduate course in mathematical methods, the text allows students to grasp at an early stage the contemporary literature on dynamical systems, solitons and related topological solutions to field equations, gauge theories, gravitational theory, and even string theory. Free solutions manual available for lecturers at www.wiley-vch.de/supplements/.
Tensor Analysis And Elementary Differential Geometry For Physicists And Engineers
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Author : Hung Nguyen-Schäfer
language : en
Publisher: Springer
Release Date : 2016-08-16
Tensor Analysis And Elementary Differential Geometry For Physicists And Engineers written by Hung Nguyen-Schäfer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-16 with Technology & Engineering categories.
This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins. Among the topics examined are tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. The book includes numerous examples with solutions and concrete calculations, which guide readers through these complex topics step by step. Mindful of the practical needs of engineers and physicists, book favors simplicity over a more rigorous, formal approach. The book shows readers how to work with tensors and differential geometry and how to apply them to modeling the physical and engineering world. The authors provide chapter-length treatment of topics at the intersection of advanced mathematics, and physics and engineering: • General Basis and Bra-Ket Notation • Tensor Analysis • Elementary Differential Geometry • Differential Forms • Applications of Tensors and Differential Geometry • Tensors and Bra-Ket Notation in Quantum Mechanics The text reviews methods and applications in computational fluid dynamics; continuum mechanics; electrodynamics in special relativity; cosmology in the Minkowski four-dimensional space time; and relativistic and non-relativistic quantum mechanics. Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers benefits research scientists and practicing engineers in a variety of fields, who use tensor analysis and differential geometry in the context of applied physics, and electrical and mechanical engineering. It will also interest graduate students in applied physics and engineering.