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| Author | : Chris J. Isham |
| Publisher | : Allied Publishers |
| Total Pages | : 308 |
| Release | : 2002 |
| Genre | : Geometry, Differential |
| ISBN | : 9788177643169 |
| Author | : Bo-Yu Hou |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 560 |
| Release | : 1997-10-31 |
| Genre | : Mathematics |
| 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 | : Anastasios Mallios |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 303 |
| Release | : 2006-07-27 |
| Genre | : 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 | : Marián Fecko |
| Publisher | : Cambridge University Press |
| Total Pages | : 11 |
| Release | : 2006-10-12 |
| Genre | : 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 | : C. J. Isham |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 182 |
| Release | : 1989 |
| Genre | : Electronic books |
| ISBN | : 9789971509569 |
1. Differentiable manifolds -- 2. Lie groups -- 3. Fibre bundles
| Author | : Peter Szekeres |
| Publisher | : Cambridge University Press |
| Total Pages | : 620 |
| Release | : 2004-12-16 |
| Genre | : Mathematics |
| ISBN | : 9780521829601 |
This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.
| Author | : A Visconti |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 424 |
| Release | : 1992-10-09 |
| Genre | : |
| 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 | : Jürgen Jost |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 226 |
| Release | : 2009-08-17 |
| Genre | : Mathematics |
| ISBN | : 3642005411 |
"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 | : M. Göckeler |
| Publisher | : Cambridge University Press |
| Total Pages | : 248 |
| Release | : 1989-07-28 |
| Genre | : 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 | : Theodore Frankel |
| Publisher | : Cambridge University Press |
| Total Pages | : 749 |
| Release | : 2011-11-03 |
| Genre | : 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.
