gauge theory and variational principles dover books on mathematics

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Gauge Theory And Variational Principles

Author : David Bleecker
ISBN : 9780486151878
Genre : Science
File Size : 53. 54 MB
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Covers principal fiber bundles and connections; curvature; particle fields, Lagrangians, and gauge invariance; inhomogeneous field equations; free Dirac electron fields; calculus on frame bundle; and unification of gauge fields and gravitation. 1981 edition

Techniques And Applications Of Path Integration

Author : L. S. Schulman
ISBN : 9780486137025
Genre : Science
File Size : 76. 2 MB
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Suitable for advanced undergraduates and graduate students, this text develops the techniques of path integration and deals with applications, covering a host of illustrative examples. 26 figures. 1981 edition.

Geometrical Methods Of Mathematical Physics

Author : Bernard F. Schutz
ISBN : 9781107268142
Genre : Science
File Size : 77. 53 MB
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In 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.

The Variational Principles Of Mechanics

Author : Cornelius Lanczos
ISBN : 9780486134703
Genre : Science
File Size : 45. 42 MB
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Philosophic, less formalistic approach to analytical mechanics offers model of clear, scholarly exposition at graduate level with coverage of basics, calculus of variations, principle of virtual work, equations of motion, more.

Differential Forms And Connections

Author : R. W. R. Darling
ISBN : 0521468000
Genre : Mathematics
File Size : 53. 43 MB
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This book introduces the tools of modern differential geometry--exterior calculus, manifolds, vector bundles, connections--and covers both classical surface theory, the modern theory of connections, and curvature. Also included is a chapter on applications to theoretical physics. The author uses the powerful and concise calculus of differential forms throughout. Through the use of numerous concrete examples, the author develops computational skills in the familiar Euclidean context before exposing the reader to the more abstract setting of manifolds. The only prerequisites are multivariate calculus and linear algebra; no knowledge of topology is assumed. Nearly 200 exercises make the book ideal for both classroom use and self-study for advanced undergraduate and beginning graduate students in mathematics, physics, and engineering.

Books In Print 2009 2010

Author :
ISBN : 0835250164
Genre : Publishers' catalogs
File Size : 27. 81 MB
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Variational Principles And Free Boundary Problems

Author : Avner Friedman
ISBN : 9780486478531
Genre : Mathematics
File Size : 33. 76 MB
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Originally published: New York: Wiley, 1982.

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