Variational Principles in Dynamics and Quantum Theory

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9780486637730: Variational Principles in Dynamics and Quantum Theory

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.

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Contenuti:

Preface to the Third Edition Preface to the Second Edition Preface to the First Edition 1 Prolegomena 2 Fermat's Principle of Least Time 3 The Principle of Least Action of Maupertuis 4 The Development of this Principle by Euler and Lagrange 5 The Equations of Lagrange and Hamilton 6 Hamilton's Principle and the Hamilton-Jacobi Equation 7 Contact Transformations and Hamilton's Canonical Equations 8 Electrodynamics in Hamiltonian Form 9 Résumé of Variational Principles in Classical Mechanics 10 Relation between Variational Principles and the Older Form of Quantum Theory 11 Variational Principles and Wave Mechanics 12 The Principles of Feynman and Schwinger in Quantum Mechanics 13 Variational Principles in Hydrodynamics 14 The Significance of Variational Principles in Natural Philosophy REFERENCES GENERAL REFERENCES APPENDIX 1. Proof of the Euler-Lagrange Conditions for an Integral to be Stationary APPENDIX 2. Variational Principles and Chemical Reactions Index

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Yourgrau, Wolfgang
ISBN 10: 0486637735 ISBN 13: 9780486637730
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Descrizione libro 2011. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria V0-9780486637730

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Wolfgang Yourgrau, Stanley Mandelstam
Editore: Dover Publications Inc., United States (2011)
ISBN 10: 0486637735 ISBN 13: 9780486637730
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Descrizione libro Dover Publications Inc., United States, 2011. Paperback. Condizione libro: New. 3rd Revised edition. 208 x 142 mm. Language: English . Brand New Book. Concentrating upon applications that are most relevant to modern physics, this valuable book surveys variational principles and examines their relationship to dynamics and quantum theory. Stressing the history and theory of these mathematical concepts rather than the mechanics, the authors provide many insights into the development of quantum mechanics and present much hard-to-find material in a remarkably lucid, compact form. After summarizing the historical background from Pythagoras to Francis Bacon, Professors Yourgrau and Mandelstram cover Fermat s principle of least time, the principle of least action of Maupertuis, development of this principle by Euler and Lagrange, and the equations of Lagrange and Hamilton. Equipped by this thorough preparation to treat variational principles in general, they proceed to derive Hamilton s principle, the Hamilton-Jacobi equation, and Hamilton s canonical equations. An investigation of electrodynamics in Hamiltonian form covers next, followed by a resume of variational principles in classical dynamics. The authors then launch into an analysis of their most significant topics: the relation between variational principles and wave mechanics, and the principles of Feynman and Schwinger in quantum mechanics. Two concluding chapters extend the discussion to hydrodynamics and natural philosophy. Professional physicists, mathematicians, and advanced students with a strong mathematical background will find this stimulating volume invaluable reading. Extremely popular in its hardcover edition, this volume will find even wider appreciation in its first fine inexpensive paperbound edition. Codice libro della libreria AAC9780486637730

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Yourgrau, Wolfgang
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Descrizione libro Dover Publishers. Condizione libro: New. Brand New. Codice libro della libreria 0486637735

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Yourgrau, Wolfgang
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Descrizione libro Dover Publications, 1979. Paperback. Condizione libro: New. Codice libro della libreria 0486637735

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Yourgrau, Wolfgang
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Descrizione libro 2011. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486637730

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Wolfgang Yourgrau, Stanley Mandelstam
Editore: Dover Publications Inc., United States (2011)
ISBN 10: 0486637735 ISBN 13: 9780486637730
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Descrizione libro Dover Publications Inc., United States, 2011. Paperback. Condizione libro: New. 3rd Revised edition. 208 x 142 mm. Language: English . Brand New Book. Concentrating upon applications that are most relevant to modern physics, this valuable book surveys variational principles and examines their relationship to dynamics and quantum theory. Stressing the history and theory of these mathematical concepts rather than the mechanics, the authors provide many insights into the development of quantum mechanics and present much hard-to-find material in a remarkably lucid, compact form. After summarizing the historical background from Pythagoras to Francis Bacon, Professors Yourgrau and Mandelstram cover Fermat s principle of least time, the principle of least action of Maupertuis, development of this principle by Euler and Lagrange, and the equations of Lagrange and Hamilton. Equipped by this thorough preparation to treat variational principles in general, they proceed to derive Hamilton s principle, the Hamilton-Jacobi equation, and Hamilton s canonical equations. An investigation of electrodynamics in Hamiltonian form covers next, followed by a resume of variational principles in classical dynamics. The authors then launch into an analysis of their most significant topics: the relation between variational principles and wave mechanics, and the principles of Feynman and Schwinger in quantum mechanics. Two concluding chapters extend the discussion to hydrodynamics and natural philosophy. Professional physicists, mathematicians, and advanced students with a strong mathematical background will find this stimulating volume invaluable reading. Extremely popular in its hardcover edition, this volume will find even wider appreciation in its first fine inexpensive paperbound edition. Codice libro della libreria AAC9780486637730

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Yourgrau, Wolfgang; Mandelstam, Stanley; Physics
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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486637735. Codice libro della libreria Z0486637735ZN

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Stanley Mandelstam
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Descrizione libro Paperback. Condizione libro: New. 3rd. 143mm x 210mm x 11mm. Paperback. A historical and theoretical survey of variational principles and their relationship to dynamics and quantum theory. Topics include Hamilton's principle, Hamilton-Jacobi equation, relation.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 224 pages. 0.240. Codice libro della libreria 9780486637730

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Physics
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ISBN 10: 0486637735 ISBN 13: 9780486637730
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Descrizione libro Dover Publications. Paperback. Condizione libro: New. Paperback. 224 pages. Dimensions: 8.2in. x 5.6in. x 0.5in.Concentrating upon applications that are most relevant to modern physics, this valuable book surveys variational principles and examines their relationship to dynamics and quantum theory. Stressing the history and theory of these mathematical concepts rather than the mechanics, the authors provide many insights into the development of quantum mechanics and present much hard-to-find material in a remarkably lucid, compact form. After summarizing the historical background from Pythagoras to Francis Bacon, Professors Yourgrau and Mandelstram cover Fermats principle of least time, the principle of least action of Maupertuis, development of this principle by Euler and Lagrange, and the equations of Lagrange and Hamilton. Equipped by this thorough preparation to treat variational principles in general, they proceed to derive Hamiltons principle, the Hamilton-Jacobi equation, and Hamiltons canonical equations. An investigation of electrodynamics in Hamiltonian form covers next, followed by a resume of variational principles in classical dynamics. The authors then launch into an analysis of their most significant topics: the relation between variational principles and wave mechanics, and the principles of Feynman and Schwinger in quantum mechanics. Two concluding chapters extend the discussion to hydrodynamics and natural philosophy. Professional physicists, mathematicians, and advanced students with a strong mathematical background will find this stimulating volume invaluable reading. Extremely popular in its hardcover edition, this volume will find even wider appreciation in its first fine inexpensive paperbound edition. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Codice libro della libreria 9780486637730

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10.

Wolfgang Yourgrau, Stanley Mandelstam
Editore: Dover Publications Inc.
ISBN 10: 0486637735 ISBN 13: 9780486637730
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Descrizione libro Dover Publications Inc. Paperback. Condizione libro: new. BRAND NEW, Variational Principles in Dynamics and Quantum Theory (3rd Revised edition), Wolfgang Yourgrau, Stanley Mandelstam. Codice libro della libreria B9780486637730

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