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1 |
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|a Logan, J. David
|q (John David)
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| 245 |
1 |
0 |
|a Invariant variational principles /
|c John David Logan.
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| 260 |
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|a New York :
|b Academic Press,
|c 1977.
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| 300 |
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|a 1 online resource (xv, 172 pages)
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| 336 |
|
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Mathematics in science and engineering ;
|v v. 138
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| 504 |
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|a Includes bibliographical references (pages 165-168) and index.
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0 |
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|a Print version record.
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0 |
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|a Front Cover; Invariant Variational Principles; Copyright Page; Contents; Preface; Acknowledgments; Chapter 1. Necessary Conditions for an Extremum; 1.1 Introduction; 1.2 Variation of Functionals; 1.3 Single Integral Problems; 1.4 Applications to Classical Dynamics; 1.5 Multiple Integral Problems; 1.6 Invariance-A Preview; 1.7 Bibliographic Notes; Exercises; Chapter 2. Invariance of Single Integrals; 2.1 r-Parameter Transformations; 2.2 Invariance Definitions; 2.3 The Fundamental Invariance Identities; 2.4 The Noether Theorem and Conservation Laws; 2.5 Particle Mechanics and the Galilean Group
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| 505 |
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|a 2.6 Bibliographic NotesExercises; Chapter 3. Generalized Killing Equations; 3.1 Introduction; 3.2 Example-The Emden Equation; 3.3 Killing's Equations; 3.4 The Damped Harmonic Oscillator; 3.5 The Inverse Problem; Exercises; Chapter 4. Invariance of Multiple Integrals; 4.1 Basic Definitions; 4.2 The Fundamental Theorems; 4.3 Derivation of the Invariance Identities; 4.4 Conservation Theorems; Exercises; Chapter 5. Invariance Principles in the Theory of Physical Fields; 5.1 Introduction; 5.2 Tensors; 5.3 The Lorentz Group; 5.4 Infinitesimal Lorentz Transformations; 5.5 Physical Fields
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| 505 |
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|a 5.6 Scalar Fields5.7 The Electromagnetic Field; 5.8 Covariant Vector Fields; Exercises; Chapter 6. Second-Order Variation Problems; 6.1 The Euler-Lagrange Equations; 6.2 Invariance Criteria for Single Integrals; 6.3 Multiple Integrals; 6.4 The Korteweg-devries Equation; 6.5 Bibliographic Notes; Exercises; Chapter 7. Conformally Invariant Problems; 7.1 Conformal Transformations; 7.2 Conformal Invariance Identities for Scalar Fields; 7.3 Conformal Conservation Laws; 7.4 Conformal Covariance; Exercises; Chapter 8. Parameter-Invariant Problems; 8.1 Introduction
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| 505 |
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|a 8.2 Sufficient Conditions for Parameter-Invariance8.3 The Conditions of Zermelo and Weierstrass; 8.4 The Second Noether Theorem; Exercises; References; Index
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| 590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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| 650 |
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|a Calculus of variations.
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| 650 |
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0 |
|a Invariants.
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| 650 |
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|a Transformations (Mathematics)
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| 650 |
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|a Calcul des variations.
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| 650 |
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6 |
|a Invariants.
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| 650 |
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6 |
|a Transformations (Mathématiques)
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| 650 |
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|a MATHEMATICS
|x Calculus.
|2 bisacsh
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| 650 |
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7 |
|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh
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| 650 |
|
7 |
|a Calculus of variations.
|2 fast
|0 (OCoLC)fst00844140
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| 650 |
|
7 |
|a Invariants.
|2 fast
|0 (OCoLC)fst00977982
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| 650 |
|
7 |
|a Transformations (Mathematics)
|2 fast
|0 (OCoLC)fst01154653
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| 776 |
0 |
8 |
|i Print version:
|a Logan, J. David (John David).
|t Invariant variational principles.
|d New York : Academic Press, 1977
|z 9780124547506
|w (DLC) 76052727
|w (OCoLC)2982901
|
| 830 |
|
0 |
|a Mathematics in science and engineering ;
|v v. 138.
|
| 856 |
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0 |
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