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 : 68. 58 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

The Dawning Of Gauge Theory

Author : Lochlainn O'Raifeartaigh
ISBN : 0691029776
Genre : Science
File Size : 85. 10 MB
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During the course of this century, gauge invariance has slowly emerged from being an incidental symmetry of electromagnetism to being a fundamental geometrical principle underlying the four known fundamental physical interactions. The development has been in two stages. In the first stage (1916-1956) the geometrical significance of gauge-invariance gradually came to be appreciated and the original abelian gauge-invariance of electromagnetism was generalized to non-abelian gauge invariance. In the second stage (1960-1975) it was found that, contrary to first appearances, the non-abelian gauge-theories provided exactly the framework that was needed to describe the nuclear interactions (both weak and strong) and thus provided a universal framework for describing all known fundamental interactions. In this work, Lochlainn O'Raifeartaigh describes the former phase. O'Raifeartaigh first illustrates how gravitational theory and quantum mechanics played crucial roles in the reassessment of gauge theory as a geometric principle and as a framework for describing both electromagnetism and gravitation. He then describes how the abelian electromagnetic gauge-theory was generalized to its present non-abelian form. The development is illustrated by including a selection of relevant articles, many of them appearing here for the first time in English, notably by Weyl, Schrodinger, Klein, and London in the pre-war years, and by Pauli, Shaw, Yang-Mills, and Utiyama after the war. The articles illustrate that the reassessment of gauge-theory, due in a large measure to Weyl, constituted a major philosophical as well as technical advance.

An Elementary Primer For Gauge Theory

Author : K. Moriyasu
ISBN : 9971950944
Genre : Technology & Engineering
File Size : 83. 38 MB
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Gauge theory is now recognized as one of the most revolutionary discoveries in physics since the development of quantum mechanics. This primer explains how and why gauge theory has dramatically changed our view of the fundamental forces of nature. The text is designed for the non-specialist. A new, intuitive approach is used to make the ideas of gauge theory accessible to both scientists and students with only a background in quantum mechanics. Emphasis is placed on the physics rather than the formalism.

Geometrical Methods Of Mathematical Physics

Author : Bernard F. Schutz
ISBN : 0521298873
Genre : Mathematics
File Size : 50. 77 MB
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For physicists and applied mathematicians working in the fields of relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This book provides an introduction to the concepts and techniques of modern differential theory, particularly Lie groups, Lie forms and differential forms.

Applied Exterior Calculus

Author : Dominic G. B. Edelen
ISBN : 9780486438719
Genre : Mathematics
File Size : 35. 21 MB
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This text begins with the essentials, advancing to applications and studies of physical disciplines, including classical and irreversible thermodynamics, electrodynamics, and the theory of gauge fields. Geared toward advanced undergraduates and graduate students, it develops most of the theory and requires only a familiarity with upper-division algebra and mathematical analysis. "Essential." — SciTech Book News. 1985 edition.

Variational Principles In Dynamics And Quantum Theory

Author : Wolfgang Yourgrau
ISBN : 0486637735
Genre : Science
File Size : 82. 30 MB
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Historical, theoretical survey with many insights, much hard-to-find material. Covers Hamilton's principle, Hamilton-Jacobi equation, relationship to quantum theory and wave mechanics, and more.

The Variational Principles Of Mechanics

Author : Cornelius Lanczos
ISBN : 9780486134703
Genre : Science
File Size : 72. 80 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.

Variational Principles And Free Boundary Problems

Author : Avner Friedman
ISBN : 9780486478531
Genre : Mathematics
File Size : 73. 78 MB
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Originally published: New York: Wiley, 1982.

Calculus Of Variations

Author : I. M. Gelfand
ISBN : 9780486135014
Genre : Mathematics
File Size : 33. 78 MB
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Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.

Manifolds Tensors And Forms

Author : Paul Renteln
ISBN : 9781107042193
Genre : Science
File Size : 46. 82 MB
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Comprehensive treatment of the essentials of modern differential geometry and topology for graduate students in mathematics and the physical sciences.

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