Modern Differential Geometry for Physicists
Author: Chris J. Isham
Publisher: Allied Publishers
Published: 2002
Total Pages: 308
ISBN-13: 9788177643169
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Differential Geometry For Physicists
Author: Bo-yu Hou
Publisher: World Scientific Publishing Company
Published: 1997-10-31
Total Pages: 561
ISBN-13: 9813105097
DOWNLOAD EBOOKThis 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.
Modern Differential Geometry for Physicists
Author: Chris J. Isham
Publisher: World Scientific
Published: 1999
Total Pages: 308
ISBN-13: 9789810235628
DOWNLOAD EBOOK"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
A Course in Modern Mathematical Physics
Author: Peter Szekeres
Publisher: Cambridge University Press
Published: 2004-12-16
Total Pages: 620
ISBN-13: 9780521829601
DOWNLOAD EBOOKThis textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.
Differential Geometry and Lie Groups for Physicists
Author: Marián Fecko
Publisher: Cambridge University Press
Published: 2006-10-12
Total Pages: 11
ISBN-13: 1139458035
DOWNLOAD EBOOKCovering subjects including manifolds, tensor fields, spinors, and differential forms, this textbook introduces geometrical topics useful in modern theoretical physics and mathematics. It develops understanding through over 1000 short exercises, and is suitable for advanced undergraduate or graduate courses in physics, mathematics and engineering.
Modern Differential Geometry in Gauge Theories
Author: Anastasios Mallios
Publisher: Springer Science & Business Media
Published: 2006-07-27
Total Pages: 303
ISBN-13: 0817644741
DOWNLOAD EBOOKThis is original, well-written work of interest Presents for the first time (physical) field theories written in sheaf-theoretic language Contains a wealth of minutely detailed, rigorous computations, ususally absent from standard physical treatments Author's mastery of the subject and the rigorous treatment of this text make it invaluable
Geometrical Methods of Mathematical Physics
Author: Bernard F. Schutz
Publisher: Cambridge University Press
Published: 1980-01-28
Total Pages: 272
ISBN-13: 1107268141
DOWNLOAD EBOOKIn 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.
Differential Geometry in Physics
Author: Gabriel Lugo
Publisher:
Published: 2021-10-15
Total Pages: 372
ISBN-13: 9781469669250
DOWNLOAD EBOOKDifferential Geometry in Physics is a treatment of the mathematical foundations of the theory of general relativity and gauge theory of quantum fields. The material is intended to help bridge the gap that often exists between theoretical physics and applied mathematics. The approach is to carve an optimal path to learning this challenging field by appealing to the much more accessible theory of curves and surfaces. The transition from classical differential geometry as developed by Gauss, Riemann and other giants, to the modern approach, is facilitated by a very intuitive approach that sacrifices some mathematical rigor for the sake of understanding the physics. The book features numerous examples of beautiful curves and surfaces often reflected in nature, plus more advanced computations of trajectory of particles in black holes. Also embedded in the later chapters is a detailed description of the famous Dirac monopole and instantons. Features of this book: * Chapters 1-4 and chapter 5 comprise the content of a one-semester course taught by the author for many years. * The material in the other chapters has served as the foundation for many master's thesis at University of North Carolina Wilmington for students seeking doctoral degrees. * An open access ebook edition is available at Open UNC (https: //openunc.org) * The book contains over 80 illustrations, including a large array of surfaces related to the theory of soliton waves that does not commonly appear in standard mathematical texts on differential geometry.
The Geometry of Physics
Author: Theodore Frankel
Publisher: Cambridge University Press
Published: 2011-11-03
Total Pages: 749
ISBN-13: 1139505610
DOWNLOAD EBOOKThis book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), thermodynamics, the Dirac operator and spinors, and gauge fields, including Yang–Mills, the Aharonov–Bohm effect, Berry phase and instanton winding numbers, quarks and quark model for mesons. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space. The book is ideal for graduate and advanced undergraduate students of physics, engineering or mathematics as a course text or for self study. This third edition includes an overview of Cartan's exterior differential forms, which previews many of the geometric concepts developed in the text.
Differential Geometry, Gauge Theories, and Gravity
Author: M. Göckeler
Publisher: Cambridge University Press
Published: 1989-07-28
Total Pages: 248
ISBN-13: 9780521378215
DOWNLOAD EBOOKCambridge University Press is committed to keeping scholarly work in print for as long as possible. A short print-run of this academic paperback has been produced using digital technology. This technology has enabled Cambridge to keep the book in print for specialists and students when traditional methods of reprinting would not have been feasible. While the new digital cover differs from the original, the text content is identical to that of previous printings.
