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.
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
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.
Modern Differential Geometry for Physicists
Author: C. J. Isham
Publisher: World Scientific Publishing Company
Published: 1989
Total Pages: 182
ISBN-13: 9789971509569
DOWNLOAD EBOOK1. Differentiable manifolds -- 2. Lie groups -- 3. Fibre bundles
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.
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.
Introductory Differential Geometry For Physicists
Author: A Visconti
Publisher: World Scientific Publishing Company
Published: 1992-10-09
Total Pages: 433
ISBN-13: 9813103884
DOWNLOAD EBOOKThis 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.
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.
