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Author : Robert Hermann
Publisher :
ISBN 13 :
Total Pages : 624 pages
Book Rating : 4.3/5 (91 download)
Download or read book Interdisciplinary Mathematics: Topics in physical geometry written by Robert Hermann and published by . This book was released on 1973 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tim Maudlin
Publisher : Oxford University Press
ISBN 13 : 0198701306
Total Pages : 374 pages
Book Rating : 4.1/5 (987 download)
Download or read book New Foundations for Physical Geometry written by Tim Maudlin and published by Oxford University Press. This book was released on 2014-02 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.
Author : Kishore Marathe
Publisher : Springer Science & Business Media
ISBN 13 : 1848829396
Total Pages : 458 pages
Book Rating : 4.8/5 (488 download)
Download or read book Topics in Physical Mathematics written by Kishore Marathe and published by Springer Science & Business Media. This book was released on 2010-08-09 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: As many readers will know, the 20th century was a time when the fields of mathematics and the sciences were seen as two separate entities. Caused by the rapid growth of the physical sciences and an increasing abstraction in mathematical research, each party, physicists and mathematicians alike, suffered a misconception; not only of the opposition’s theoretical underpinning, but of how the two subjects could be intertwined and effectively utilized. One sub-discipline that played a part in the union of the two subjects is Theoretical Physics. Breaking it down further came the fundamental theories, Relativity and Quantum theory, and later on Yang-Mills theory. Other areas to emerge in this area are those derived from the works of Donaldson, Chern-Simons, Floer-Fukaya, and Seiberg-Witten. Aimed at a wide audience, Physical Topics in Mathematics demonstrates how various physical theories have played a crucial role in the developments of Mathematics and in particular, Geometric Topology. Issues are studied in great detail, and the book steadfastly covers the background of both Mathematics and Theoretical Physics in an effort to bring the reader to a deeper understanding of their interaction. Whilst the world of Theoretical Physics and Mathematics is boundless; it is not the intention of this book to cover its enormity. Instead, it seeks to lead the reader through the world of Physical Mathematics; leaving them with a choice of which realm they wish to visit next.
Author : Robert Hermann
Publisher :
ISBN 13 : 9780915692408
Total Pages : 595 pages
Book Rating : 4.6/5 (924 download)
Download or read book Topics in Physical Geometry written by Robert Hermann and published by . This book was released on 1988 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bo-Yu Hou
Publisher : World Scientific Publishing Company
ISBN 13 : 9813105097
Total Pages : 560 pages
Book Rating : 4.8/5 (131 download)
Download or read book Differential Geometry for Physicists written by Bo-Yu Hou and published by World Scientific Publishing Company. This book was released on 1997-10-31 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is divided into fourteen chapters, with 18 appendices as introduction to prerequisite topological and algebraic knowledge, etc. The first seven chapters focus on local analysis. This part can be used as a fundamental textbook for graduate students of theoretical physics. Chapters 8–10 discuss geometry on fibre bundles, which facilitates further reference for researchers. The last four chapters deal with the Atiyah-Singer index theorem, its generalization and its application, quantum anomaly, cohomology field theory and noncommutative geometry, giving the reader a glimpse of the frontier of current research in theoretical physics.
Author : Robert Hermann
Publisher :
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.F/5 ( download)
Download or read book Topics in General Relativity written by Robert Hermann and published by . This book was released on 1976 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Everist Greene
Publisher : American Mathematical Soc.
ISBN 13 : 0821814958
Total Pages : 681 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differential Geometry: Geometry in Mathematical Physics and Related Topics written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1993 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Among the subjects of Part 2 are gauge theory, symplectic geometry, complex ge
Author : J. A. Thorpe
Publisher : Springer Science & Business Media
ISBN 13 : 1461261538
Total Pages : 263 pages
Book Rating : 4.4/5 (612 download)
Download or read book Elementary Topics in Differential Geometry written by J. A. Thorpe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past decade there has been a significant change in the freshman/ sophomore mathematics curriculum as taught at many, if not most, of our colleges. This has been brought about by the introduction of linear algebra into the curriculum at the sophomore level. The advantages of using linear algebra both in the teaching of differential equations and in the teaching of multivariate calculus are by now widely recognized. Several textbooks adopting this point of view are now available and have been widely adopted. Students completing the sophomore year now have a fair preliminary under standing of spaces of many dimensions. It should be apparent that courses on the junior level should draw upon and reinforce the concepts and skills learned during the previous year. Unfortunately, in differential geometry at least, this is usually not the case. Textbooks directed to students at this level generally restrict attention to 2-dimensional surfaces in 3-space rather than to surfaces of arbitrary dimension. Although most of the recent books do use linear algebra, it is only the algebra of ~3. The student's preliminary understanding of higher dimensions is not cultivated.
Author : Kishore Marathe
Publisher : Springer
ISBN 13 : 9781848829459
Total Pages : 442 pages
Book Rating : 4.8/5 (294 download)
Download or read book Topics in Physical Mathematics written by Kishore Marathe and published by Springer. This book was released on 2010-11-05 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: As many readers will know, the 20th century was a time when the fields of mathematics and the sciences were seen as two separate entities. Caused by the rapid growth of the physical sciences and an increasing abstraction in mathematical research, each party, physicists and mathematicians alike, suffered a misconception; not only of the opposition’s theoretical underpinning, but of how the two subjects could be intertwined and effectively utilized. One sub-discipline that played a part in the union of the two subjects is Theoretical Physics. Breaking it down further came the fundamental theories, Relativity and Quantum theory, and later on Yang-Mills theory. Other areas to emerge in this area are those derived from the works of Donaldson, Chern-Simons, Floer-Fukaya, and Seiberg-Witten. Aimed at a wide audience, Physical Topics in Mathematics demonstrates how various physical theories have played a crucial role in the developments of Mathematics and in particular, Geometric Topology. Issues are studied in great detail, and the book steadfastly covers the background of both Mathematics and Theoretical Physics in an effort to bring the reader to a deeper understanding of their interaction. Whilst the world of Theoretical Physics and Mathematics is boundless; it is not the intention of this book to cover its enormity. Instead, it seeks to lead the reader through the world of Physical Mathematics; leaving them with a choice of which realm they wish to visit next.
Author : Mallios Anastasios
Publisher : World Scientific
ISBN 13 : 981471948X
Total Pages : 304 pages
Book Rating : 4.8/5 (147 download)
Download or read book Differential Sheaves And Connections: A Natural Approach To Physical Geometry written by Mallios Anastasios and published by World Scientific. This book was released on 2015-09-17 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the experienced researcher in undertaking a background-independent, natural and relational approach to 'physical geometry'. In this manner, this book is situated at the crossroads between the foundations of mathematical analysis with a view toward differential geometry and the foundations of theoretical physics with a view toward quantum mechanics and quantum gravity. The unifying thread is provided by the theory of adjoint functors in category theory and the elucidation of the concepts of sheaf theory and homological algebra in relation to the description and analysis of dynamically constituted physical geometric spectrums.
Author : Robert Everist Greene
Publisher :
ISBN 13 :
Total Pages : 655 pages
Book Rating : 4.:/5 (92 download)
Download or read book Geometry in Mathematical Physics and Related Topics written by Robert Everist Greene and published by . This book was released on 1993 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jürgen Jost
Publisher : Springer Science & Business Media
ISBN 13 : 3642005411
Total Pages : 226 pages
Book Rating : 4.6/5 (42 download)
Download or read book Geometry and Physics written by Jürgen Jost and published by Springer Science & Business Media. This book was released on 2009-08-17 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics. Jürgen Jost, a well-known research mathematician and advanced textbook author, also develops important geometric concepts and methods that can be used for the structures of physics. In particular, he discusses the Lagrangians of the standard model and its supersymmetric extensions from a geometric perspective.
Author : Kouei Sekigawa
Publisher : World Scientific
ISBN 13 : 9814475025
Total Pages : 352 pages
Book Rating : 4.8/5 (144 download)
Download or read book Topics In Contemporary Differential Geometry, Complex Analysis And Mathematical Physics - Proceedings Of The 8th International Workshop On Complex Structures And Vector Fields written by Kouei Sekigawa and published by World Scientific. This book was released on 2007-06-11 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the contributions by the participants in the eight of a series workshops in complex analysis, differential geometry and mathematical physics and related areas.Active specialists in mathematical physics contribute to the volume, providing not only significant information for researchers in the area but also interesting mathematics for non-specialists and a broader audience. The contributions treat topics including differential geometry, partial differential equations, integrable systems and mathematical physics.
Author : Roberto Torretti
Publisher : Elsevier
ISBN 13 : 1483147371
Total Pages : 409 pages
Book Rating : 4.4/5 (831 download)
Download or read book Relativity and Geometry written by Roberto Torretti and published by Elsevier. This book was released on 2014-05-20 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relativity and Geometry aims to elucidate the motivation and significance of the changes in physical geometry brought about by Einstein, in both the first and the second phases of relativity. The book contains seven chapters and a mathematical appendix. The first two chapters review a historical background of relativity. Chapter 3 centers on Einstein's first Relativity paper of 1905. Subsequent chapter presents the Minkowskian formulation of special relativity. Chapters 5 and 6 deal with Einstein's search for general relativity from 1907 to 1915, as well as some aspects and subsequent developments of the theory. The last chapter explores the concept of simultaneity, geometric conventionalism, and a few other questions concerning space time structure, causality, and time.
Author : Donal J. Hurley
Publisher : Springer Science & Business Media
ISBN 13 : 9781852334918
Total Pages : 192 pages
Book Rating : 4.3/5 (349 download)
Download or read book Topics in Differential Geometry: A New Approach Using D-Differentiation written by Donal J. Hurley and published by Springer Science & Business Media. This book was released on 2002 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: D-differentiation is a unified operation that enables aspects of differential geometry to be developed and presented from a new perspective. This book is the first comprehensive and self-contained treatment of this new method. It demonstrates, concisely but without sacrificing rigour or intelligibility, how even elementary concepts in differential geometry can be reformulated to obtain new and valuable insights. In addition, D-differentiation has applications in several areas of physics, such as classical mechanics, solid-state physics and general relativity. This book will prove useful to all users of D-differentiation - from advanced graduate students onwards - and to those researching into new approaches to some branches of physics and mathematics.
Author : Reuven Segev
Publisher : Springer Nature
ISBN 13 : 3030426831
Total Pages : 416 pages
Book Rating : 4.0/5 (34 download)
Download or read book Geometric Continuum Mechanics written by Reuven Segev and published by Springer Nature. This book was released on 2020-05-13 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume explores the applications of various topics in modern differential geometry to the foundations of continuum mechanics. In particular, the contributors use notions from areas such as global analysis, algebraic topology, and geometric measure theory. Chapter authors are experts in their respective areas, and provide important insights from the most recent research. Organized into two parts, the book first covers kinematics, forces, and stress theory, and then addresses defects, uniformity, and homogeneity. Specific topics covered include: Global stress and hyper-stress theories Applications of de Rham currents to singular dislocations Manifolds of mappings for continuum mechanics Kinematics of defects in solid crystals Geometric Continuum Mechanics will appeal to graduate students and researchers in the fields of mechanics, physics, and engineering who seek a more rigorous mathematical understanding of the area. Mathematicians interested in applications of analysis and geometry will also find the topics covered here of interest.
Author : Peter W. Michor
Publisher : American Mathematical Soc.
ISBN 13 : 0821820036
Total Pages : 510 pages
Book Rating : 4.8/5 (218 download)
Download or read book Topics in Differential Geometry written by Peter W. Michor and published by American Mathematical Soc.. This book was released on 2008 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book treats the fundamentals of differential geometry: manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de Rham cohomology, bundles and connections, Riemann manifolds, isometric actions, and symplectic and Poisson geometry. It gives the careful reader working knowledge in a wide range of topics of modern coordinate-free differential geometry in not too many pages. A prerequisite for using this book is a good knowledge of undergraduate analysis and linear algebra."--BOOK JACKET.
