the variational principles of mechanics dover books on physics

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The Variational Principles Of Mechanics

Author : Cornelius Lanczos
ISBN : 9780486134703
Genre : Science
File Size : 85. 49 MB
Format : PDF
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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
ISBN : 9780486151137
Genre : Science
File Size : 56. 80 MB
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DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div

Gauge Theory And Variational Principles

Author : David Bleecker
ISBN : 9780486445465
Genre : Mathematics
File Size : 71. 17 MB
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This text provides a framework for describing and organizing the basic forces of nature and the interactions of subatomic particles. A detailed and self-contained mathematical account of gauge theory, it is geared toward beginning graduate students and advanced undergraduates in mathematics and physics. This well-organized treatment supplements its rigor with intuitive ideas. Starting with an examination of principal fiber bundles and connections, the text explores curvature; particle fields, Lagrangians, and gauge invariance; Lagrange's equation for particle fields; and the inhomogeneous field equation. Additional topics include free Dirac electron fields; interactions; calculus on frame bundle; and unification of gauge fields and gravitation. The text concludes with references, a selected bibliography, an index of notation, and a general index.

Tensors Differential Forms And Variational Principles

Author : David Lovelock
ISBN : 9780486131986
Genre : Mathematics
File Size : 34. 46 MB
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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.

Calculus Of Variations

Author : I. M. Gelfand
ISBN : 9780486135014
Genre : Mathematics
File Size : 54. 94 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.

Variational Principles

Author : B. L. Moiseiwitsch
ISBN : 9780486150499
Genre : Mathematics
File Size : 65. 79 MB
Format : PDF
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This text shows how variational principles are used to determine the discrete eigenvalues for stationary state problems and to illustrate how to find the values of quantities that arise in the theory of scattering. 1966 edition.

Theoretical Mechanics Of Particles And Continua

Author : Alexander L. Fetter
ISBN : 9780486432618
Genre : Science
File Size : 62. 58 MB
Format : PDF
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This two-part text fills what has often been a void in the first-year graduate physics curriculum. Through its examination of particles and continua, it supplies a lucid and self-contained account of classical mechanics — which in turn provides a natural framework for introducing many of the advanced mathematical concepts in physics. The text opens with Newton's laws of motion and systematically develops the dynamics of classical particles, with chapters on basic principles, rotating coordinate systems, lagrangian formalism, small oscillations, dynamics of rigid bodies, and hamiltonian formalism, including a brief discussion of the transition to quantum mechanics. This part of the book also considers examples of the limiting behavior of many particles, facilitating the eventual transition to a continuous medium. The second part deals with classical continua, including chapters on string membranes, sound waves, surface waves on nonviscous fluids, heat conduction, viscous fluids, and elastic media. Each of these self-contained chapters provides the relevant physical background and develops the appropriate mathematical techniques, and problems of varying difficulty appear throughout the text.

A History Of Mechanics

Author : René Dugas
ISBN : 9780486173375
Genre : Science
File Size : 29. 48 MB
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Monumental study traces the history of mechanical principles chronologically from antiquity through the early 20th century. Contributions of ancient Greeks, Leonardo, Galileo, Kepler, Lagrange, others. 116 illustrations.

Mathematics Of Classical And Quantum Physics

Author : Frederick W. Byron
ISBN : 9780486135069
Genre : Science
File Size : 45. 46 MB
Format : PDF, Kindle
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Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.

An Introduction To The Calculus Of Variations

Author : Charles Fox
ISBN : 0486654990
Genre : Mathematics
File Size : 84. 87 MB
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In this highly regarded text for advanced undergraduate and graduate students, the author develops the calculus of variations both for its intrinsic interest and for its powerful applications to modern mathematical physics. Topics include first and second variations of an integral, generalizations, isoperimetrical problems, least action, special relativity, elasticity, more. 1963 edition.

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