Modern Differential Geometry for Physicists
Author : Chris J. Isham
Publisher : Allied Publishers
Page : 308 pages
File Size : 27,20 MB
Release : 2002
Category : Geometry, Differential
ISBN : 9788177643169
Author : Chris J. Isham
Publisher : Allied Publishers
Page : 308 pages
File Size : 27,20 MB
Release : 2002
Category : Geometry, Differential
ISBN : 9788177643169
Author : Chris J. Isham
Publisher : World Scientific
Page : 308 pages
File Size : 45,65 MB
Release : 1999
Category : Science
ISBN : 9789810235628
"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
Author : Bo-yu Hou
Publisher : World Scientific Publishing Company
Page : 561 pages
File Size : 32,8 MB
Release : 1997-10-31
Category : Science
ISBN : 9813105097
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 : Marián Fecko
Publisher : Cambridge University Press
Page : 11 pages
File Size : 22,77 MB
Release : 2006-10-12
Category : Science
ISBN : 1139458035
Covering 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.
Author : Anastasios Mallios
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 24,1 MB
Release : 2006-07-27
Category : Mathematics
ISBN : 0817644741
This 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
Author : Peter Szekeres
Publisher : Cambridge University Press
Page : 620 pages
File Size : 50,34 MB
Release : 2004-12-16
Category : Mathematics
ISBN : 9780521829601
This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.
Author : C. J. Isham
Publisher : World Scientific Publishing Company
Page : 182 pages
File Size : 46,28 MB
Release : 1989
Category : Electronic books
ISBN : 9789971509569
1. Differentiable manifolds -- 2. Lie groups -- 3. Fibre bundles
Author : M. Göckeler
Publisher : Cambridge University Press
Page : 248 pages
File Size : 41,59 MB
Release : 1989-07-28
Category : Mathematics
ISBN : 9780521378215
Cambridge 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.
Author : A Visconti
Publisher : World Scientific Publishing Company
Page : 433 pages
File Size : 27,8 MB
Release : 1992-10-09
Category :
ISBN : 9813103884
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.
Author : Theodore Frankel
Publisher : Cambridge University Press
Page : 749 pages
File Size : 33,83 MB
Release : 2011-11-03
Category : Mathematics
ISBN : 1139505610
This 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.