Gauge Theory and Variational Principles

Author: David Bleecker

Publisher: Courier Corporation

ISBN: 0486151875

Category: Science

Page: 208

View: 5533

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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

Tensors, Differential Forms, and Variational Principles

Author: David Lovelock,Hanno Rund

Publisher: Courier Corporation

ISBN: 048613198X

Category: Mathematics

Page: 400

View: 6843

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Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.

The Variational Principles of Mechanics

Author: Cornelius Lanczos

Publisher: Courier Corporation

ISBN: 0486134709

Category: Science

Page: 464

View: 1628

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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 in Dynamics and Quantum Theory

Author: Wolfgang Yourgrau,Stanley Mandelstam

Publisher: Courier Corporation

ISBN: 9780486637730

Category: Science

Page: 201

View: 3863

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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.

An Introduction to the Theory of the Boltzmann Equation

Author: Stewart Harris

Publisher: Courier Corporation

ISBN: 9780486438313

Category: Science

Page: 221

View: 667

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This introductory graduate-level course for students of physics and engineering features detailed presentations of Boltzmann's equation, including applications using both Boltzmann's equation and the model Boltzmann equations developed within the text. It emphasizes physical aspects of the theory and offers a practical resource for researchers and other professionals. 1971 edition.

Physics and Music

The Science of Musical Sound

Author: Harvey E. White,Donald H. White

Publisher: Courier Corporation

ISBN: 0486794008

Category: Science

Page: 448

View: 9090

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Comprehensive and accessible, this foundational text surveys general principles of sound, musical scales, characteristics of instruments, mechanical and electronic recording devices, and many other topics. More than 300 illustrations plus questions, problems, and projects.

Calculus of Variations

Author: I. M. Gelfand,S. V. Fomin

Publisher: Courier Corporation

ISBN: 0486135012

Category: Mathematics

Page: 240

View: 5714

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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.

Geometric Continuum Mechanics and Induced Beam Theories

Author: Simon R. Eugster

Publisher: Springer

ISBN: 3319164953

Category: Technology & Engineering

Page: 146

View: 2146

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This research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as the fundamental principle of mechanics. Based on the perception of analytical mechanics that forces of a mechanical system are defined as dual quantities to the kinematical description, the virtual work approach is a systematic way to treat arbitrary mechanical systems. Whereas this methodology is very convenient to formulate induced beam theories, it is essential in geometric continuum mechanics when the assumptions on the physical space are relaxed and the space is modeled as a smooth manifold. The book addresses researcher and graduate students in engineering and mathematics interested in recent developments of a geometric formulation of continuum mechanics and a hierarchical development of induced beam theories.

Hilbert Space Methods in Partial Differential Equations

Author: Ralph E. Showalter

Publisher: Courier Corporation

ISBN: 0486135799

Category: Mathematics

Page: 224

View: 8581

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This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.

Methods of Quantum Field Theory in Statistical Physics

Author: A. A. Abrikosov,L. P. Gorkov,I. E. Dzyaloshinski

Publisher: Courier Corporation

ISBN: 0486140156

Category: Science

Page: 384

View: 6982

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This comprehensive introduction to the many-body theory was written by three renowned physicists and acclaimed by American Scientist as "a classic text on field theoretic methods in statistical physics."