Partial differential equations of first order and their applications to physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
1999
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 116 S. graph. Darst. |
| ISBN: | 9810237464 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804127397630443520 |
|---|---|
| adam_text | PARTIAL DIFFERENTIAL EQUATIONS OF FIRST ORDER AND THEIR APPLICATIONS TO
PHYSICS GUSTAVO LOPEZ UNIVERSITY OF GUADALAJARA, MEXICO WORLD SCIENTIFIC
SINGAPORE * NEW JERSEY *LONDON * HONG KONG CONTENTS CHAPTER IT GEOMETRIC
CONCEPTS AND GENERALITIES 1. SURFACES AND CURVES IN THREE DIMENSIONS 1
2. METHODS OF SOLUTION OF DX/P = DY/Q = DZ/R 7 3. ORTHOGONAL
TRAJECTORIES OF A SYSTEM OF CURVES ON A SURFACE 11 4. PFAFNAN
DIFFERENTIAL EQUATION IN R 3 13 5. NEWTON S MECHANICS, LAGRANGIANS,
HAMILTONIAN, HAMILTON-JACOBI EQUATION, AND LIOUVILLE S THEOREM 15 6.
REFERENCES 22 CHAPTER II. PARTIAL DIFFERENTIAL EQUATIONS OF FIRST ORDER
1. CLASSIFICATION 23 2. LINEAR PDEFO FOR FUNCTIONS DENNED IN FT C R 2 25
3. QUASI-LINEAR PDEFO FOR FUNCTIONS DEFINED IN FT C R 2 27 4.
QUASI-LINEAR PDEFO FOR FUNCTIONS DEFINED IN FT C 5R 34 5. REFERENCES 36
CHAPTER III. PHYSICAL APPLICATIONS I 1. MECHANICS 37 2. ANGULAR MOMENTUM
IN QUANTUM MECHANICS 44 3. HEAT PROPAGATION BETWEEN TWO SUPERCONDUCTING
CABLES 51 4. CLASSICAL STATISTICAL MECHANICS IN EQUILIBRIUM 54 5.
RENORMALIZATION GROUP S EQUATIONS 56 6. PARTICLE MULTIPLICITY
DISTRIBUTION IN HIGH ENERGY PHYSICS 59 7. HAMILTONIAN PERTURBATION
APPROACH IN ACCELERATOR PHYSICS 61 8. PERTURBATION APPROACH FOR THE
ONE-DIMENSIONAL CONSTANT OF MOTION 64 9. CONSTANT OF MOTION FOR A
RELATIVISTIC PARTICLE UNDER PERIODIC PERTURBATION 65 10. REFERENCES 67
CHAPTER IV. NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF FIRST ORDER 1.
NON-LINEAR PDEFO FOR FUNCTIONS DEFINED IN FT C R? 68 2. NON-LINEAR PDEFO
FOR FUNCTIONS DEFINED IN FT C R 83 3. REFERENCES 89 CHAPTER V. PHYSICAL
APPLICATIONS II 1. MOTION OF A CLASSICAL PARTICLE 90 A) HAMILTON-JACOBI
EQUATION FOR A ONE-DIMENSIONAL HARMONIC OSCILLATOR 90 B) THE LAGRANGIAN
OBTAINED DIRECTLY FROM THE HAMILTONIAN 92 C) RELATIVISTIC PARTICLE
MOVING IN A COULOMB FIELD 93 D) MOTION OF A TEST PARTICLE IN A
SCHWARCHILD S SPACE 97 E) INTERACTION OF A PERIODIC GRAVITATIONAL WAVE
WITH A TEST PARTICLE 100 2. TRAJECTORY OF A RAY OF LIGHT 103 A) SOLUTION
OF THE EIKONAL EQUATION FOR A REFRACTION INDEX DEPENDING ON Z 104 B)
SOLUTION OF THE EIKONAL EQUATION FOR A REFRACTION INDEX RADIALLY
DEPENDING 105 3. REFERENCES 107 VIII CHAPTER VI. CHARACTERISTIC SURFACES
OF LINEAR PARTIAL DIFFERENTIAL EQUATION OF SECOND ORDER 1.
CHARACTERISTIC SURFACES OF A LINEAR PDESO DEFINED IN 9? 108 2.
CHARACTERISTIC SURFACES OF A LINEAR PDESO DEFINED IN SR 2 ILL 3.
REFERENCES 114 INDEX 115
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV012731421 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:32:42Z |
| institution | BVB |
| isbn | 9810237464 |
| language | English |
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| physical | VIII, 116 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | World Scientific |
| record_format | marc |
| spelling | López Velázquez, Gustavo Verfasser (DE-588)1027250718 aut Partial differential equations of first order and their applications to physics Gustavo López Singapore [u.a.] World Scientific 1999 VIII, 116 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematische Physik Differential equations, Partial Numerical solutions Mathematical physics Ordnung 1 (DE-588)4372621-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Ordnung 1 (DE-588)4372621-5 s Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008656426&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | López Velázquez, Gustavo Partial differential equations of first order and their applications to physics Mathematische Physik Differential equations, Partial Numerical solutions Mathematical physics Ordnung 1 (DE-588)4372621-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4372621-5 (DE-588)4044779-0 (DE-588)4037952-8 |
| title | Partial differential equations of first order and their applications to physics |
| title_auth | Partial differential equations of first order and their applications to physics |
| title_exact_search | Partial differential equations of first order and their applications to physics |
| title_full | Partial differential equations of first order and their applications to physics Gustavo López |
| title_fullStr | Partial differential equations of first order and their applications to physics Gustavo López |
| title_full_unstemmed | Partial differential equations of first order and their applications to physics Gustavo López |
| title_short | Partial differential equations of first order and their applications to physics |
| title_sort | partial differential equations of first order and their applications to physics |
| topic | Mathematische Physik Differential equations, Partial Numerical solutions Mathematical physics Ordnung 1 (DE-588)4372621-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Mathematische Physik Differential equations, Partial Numerical solutions Mathematical physics Ordnung 1 Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008656426&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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