Invariant variational principles /:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York :
Academic Press,
1977.
|
| Schriftenreihe: | Mathematics in science and engineering ;
v. 138. |
| Schlagworte: | |
| Online-Zugang: | Volltext Volltext |
| Beschreibung: | 1 online resource (xv, 172 pages) |
| Bibliographie: | Includes bibliographical references (pages 165-168) and index. |
| ISBN: | 9780124547506 0124547508 9780080956473 0080956475 1282289675 9781282289673 |
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| 245 | 1 | 0 | |a Invariant variational principles / |c John David Logan. |
| 260 | |a New York : |b Academic Press, |c 1977. | ||
| 300 | |a 1 online resource (xv, 172 pages) | ||
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| 490 | 1 | |a Mathematics in science and engineering ; |v v. 138 | |
| 504 | |a Includes bibliographical references (pages 165-168) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |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 | |
| 505 | 8 | |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 | |
| 505 | 8 | |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 | |
| 505 | 8 | |a 8.2 Sufficient Conditions for Parameter-Invariance8.3 The Conditions of Zermelo and Weierstrass; 8.4 The Second Noether Theorem; Exercises; References; Index | |
| 650 | 0 | |a Calculus of variations. |0 http://id.loc.gov/authorities/subjects/sh85018809 | |
| 650 | 0 | |a Invariants. |0 http://id.loc.gov/authorities/subjects/sh85067665 | |
| 650 | 0 | |a Transformations (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85136920 | |
| 650 | 6 | |a Calcul des variations. | |
| 650 | 6 | |a Invariants. | |
| 650 | 6 | |a Transformations (Mathématiques) | |
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| author | Logan, J. David (John David) |
| author_GND | http://id.loc.gov/authorities/names/n86123213 |
| author_facet | Logan, J. David (John David) |
| author_role | |
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| callnumber-search | QA316 .L76 1977eb |
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| contents | 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 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 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 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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| dewey-search | 515/.64 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:16:42Z |
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| series | Mathematics in science and engineering ; |
| series2 | Mathematics in science and engineering ; |
| spelling | Logan, J. David (John David) https://id.oclc.org/worldcat/entity/E39PBJfX6CTw7wPThgtmWJrQbd http://id.loc.gov/authorities/names/n86123213 Invariant variational principles / John David Logan. New York : Academic Press, 1977. 1 online resource (xv, 172 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Mathematics in science and engineering ; v. 138 Includes bibliographical references (pages 165-168) and index. Print version record. 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 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 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 8.2 Sufficient Conditions for Parameter-Invariance8.3 The Conditions of Zermelo and Weierstrass; 8.4 The Second Noether Theorem; Exercises; References; Index Calculus of variations. http://id.loc.gov/authorities/subjects/sh85018809 Invariants. http://id.loc.gov/authorities/subjects/sh85067665 Transformations (Mathematics) http://id.loc.gov/authorities/subjects/sh85136920 Calcul des variations. Invariants. Transformations (Mathématiques) MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Calculus of variations fast Invariants fast Transformations (Mathematics) fast has work: Invariant variational principles (Text) https://id.oclc.org/worldcat/entity/E39PCFRXmg94RdQwVQd9dQYJcK https://id.oclc.org/worldcat/ontology/hasWork Print version: Logan, J. David (John David). Invariant variational principles. New York : Academic Press, 1977 9780124547506 (DLC) 76052727 (OCoLC)2982901 Mathematics in science and engineering ; v. 138. http://id.loc.gov/authorities/names/n42015986 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297119 Volltext FWS01 ZDB-4-EBA FWS_PDA_EBA https://www.sciencedirect.com/science/bookseries/00765392/138 Volltext |
| spellingShingle | Logan, J. David (John David) Invariant variational principles / Mathematics in science and engineering ; 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 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 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 8.2 Sufficient Conditions for Parameter-Invariance8.3 The Conditions of Zermelo and Weierstrass; 8.4 The Second Noether Theorem; Exercises; References; Index Calculus of variations. http://id.loc.gov/authorities/subjects/sh85018809 Invariants. http://id.loc.gov/authorities/subjects/sh85067665 Transformations (Mathematics) http://id.loc.gov/authorities/subjects/sh85136920 Calcul des variations. Invariants. Transformations (Mathématiques) MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Calculus of variations fast Invariants fast Transformations (Mathematics) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85018809 http://id.loc.gov/authorities/subjects/sh85067665 http://id.loc.gov/authorities/subjects/sh85136920 |
| title | Invariant variational principles / |
| title_auth | Invariant variational principles / |
| title_exact_search | Invariant variational principles / |
| title_full | Invariant variational principles / John David Logan. |
| title_fullStr | Invariant variational principles / John David Logan. |
| title_full_unstemmed | Invariant variational principles / John David Logan. |
| title_short | Invariant variational principles / |
| title_sort | invariant variational principles |
| topic | Calculus of variations. http://id.loc.gov/authorities/subjects/sh85018809 Invariants. http://id.loc.gov/authorities/subjects/sh85067665 Transformations (Mathematics) http://id.loc.gov/authorities/subjects/sh85136920 Calcul des variations. Invariants. Transformations (Mathématiques) MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Calculus of variations fast Invariants fast Transformations (Mathematics) fast |
| topic_facet | Calculus of variations. Invariants. Transformations (Mathematics) Calcul des variations. Transformations (Mathématiques) MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Calculus of variations Invariants |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297119 https://www.sciencedirect.com/science/bookseries/00765392/138 |
| work_keys_str_mv | AT loganjdavid invariantvariationalprinciples |