invariant variational principles

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Invariant Variational Principles

Author : Logan
ISBN : 9780080956473
Genre : Mathematics
File Size : 61. 25 MB
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Invariant Variational Principles

Invariant Variational Principles

Author : John David Logan
ISBN : 0124547508
Genre : Calculus of variations
File Size : 55. 50 MB
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Invariance Properties Of Variational Principles In General Relativity Pretoria 1968 83 S 8

Author : J. C. Du Plessis
ISBN : UOM:39015078008359
Genre : Relativity (Physics)
File Size : 49. 22 MB
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Tensors Differential Forms And Variational Principles

Author : David Lovelock
ISBN : 9780486131986
Genre : Mathematics
File Size : 26. 61 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.

Tensors Differential Forms And Variational Principles

Author : David Lovelock
ISBN : 9780486131986
Genre : Mathematics
File Size : 65. 52 MB
Format : PDF
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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.

Variational Principles Of Continuum Mechanics With Engineering Applications

Author : V. Komkov
ISBN : 9027726396
Genre : Mathematics
File Size : 54. 74 MB
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Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Gauge Theory And Variational Principles

Author : David Bleecker
ISBN : 9780486151878
Genre : Science
File Size : 80. 53 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 Variational Principles Of Mechanics

Author : Cornelius Lanczos
ISBN : 9780486134703
Genre : Science
File Size : 65. 90 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.

Introduction To Global Variational Geometry

Author : Demeter Krupka
ISBN : 9789462390737
Genre : Mathematics
File Size : 29. 45 MB
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The book is devoted to recent research in the global variational theory on smooth manifolds. Its main objective is an extension of the classical variational calculus on Euclidean spaces to (topologically nontrivial) finite-dimensional smooth manifolds; to this purpose the methods of global analysis of differential forms are used. Emphasis is placed on the foundations of the theory of variational functionals on fibered manifolds - relevant geometric structures for variational principles in geometry, physical field theory and higher-order fibered mechanics. The book chapters include: - foundations of jet bundles and analysis of differential forms and vector fields on jet bundles, - the theory of higher-order integral variational functionals for sections of a fibred space, the (global) first variational formula in infinitesimal and integral forms- extremal conditions and the discussion of Noether symmetries and generalizations,- the inverse problems of the calculus of variations of Helmholtz type- variational sequence theory and its consequences for the global inverse problem (cohomology conditions)- examples of variational functionals of mathematical physics. Complete formulations and proofs of all basic assertions are given, based on theorems of global analysis explained in the Appendix.

Dictionary Of Scientific Principles

Author : Stephen Marvin
ISBN : 9781118582398
Genre : Science
File Size : 68. 84 MB
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Dictionary of Scientific Principles presents a unique and timeless collection of (almost) all known rules or laws commonly called principles, identified throughout the history of scientific development, their definition, and use. Exploring a broad range of disciplines, the book first lists more than 2,000 principles organized in a standard alphabetical order, then provides a list of subject headings for which related principles are identified. A staple addition to every library, the dictionary will also be of interest to scientists and general readers.

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