Problems of mathematical physics:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Englewood Cliffs, N.J.
Prentice-Hall
1965
|
| Schriftenreihe: | Selected Russian publications in the mathematical sciences
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005987979&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | EST: Sbornik zadač po mathematičeskoj fizike <engl.> |
| Umfang: | XI, 429 S. zahlr. graph. Darst. |
Internformat
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| 245 | 1 | 0 | |a Problems of mathematical physics |c Nikolaj N. Lebedev ; J. P. Skalskaya ; Y. S. Uflyand |
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Datensatz im Suchindex
| _version_ | 1819335361691648000 |
|---|---|
| adam_text | CONTENTS
part 1 PROBLEMS, Page 1.
1 DERIVATION OF EQUATIONS AND FORMU
1 LATION OF PROBLEMS, Page 3.
1. Mechanics, 3.
2. Heat Conduction, 9.
3. Electricity and Magnetism, 11.
O SOME SPECIAL METHODS FOR SOLVING
^ HYPERBOLIC AND ELLIPTIC EQUATIONS,
Page 20.
1. Hyperbolic Equations, 20.
2. Elliptic Equations: The Green s Function Method,
27.
3. Elliptic Equations: The Method of Conformal
Mapping, 33.
O STEADY STATE HARMONIC OSCILLATIONS,
3 Page 42.
1. Elastic Bodies: Free Oscillations, 43.
2. Elastic Bodies: Forced Oscillations, 46.
3. Electromagnetic Oscillations, 49.
A THE FOURIER METHOD, Page 55.
1. Mechanics: Vibrating Systems, Acoustics, 60.
2. Mechanics: Statics of Deformable Media, Fluid
Dynamics, 73.
ix
X CONTENTS
A THE FOURIER METHOD—Continued
3. Heat Conduction: Nonstationary Problems, 77.
4. Heat Conduction: Stationary Problems, 83.
5. Electricity and Magnetism, 91.
r THE EIGENFUNCTION METHOD FOR SOLV
J ING INHOMOGENEOUS PROBLEMS, Page 103.
1. Mechanics: Vibrating Systems, 107.
2. Mechanics: Statics of Deformable Media, 114.
3. Heat Conduction: Nonstationary Problems, 119.
4. Heat Conduction: Stationary Problems, 124.
5. Electricity and Magnetism, 131.
C INTEGRAL TRANSFORMS, Page 143.
1. The Fourier Transform, 146.
2. The Hankel Transform, 160.
3. The Laplace Transform, 169.
4. The Mellin Transform, 189.
5. Integral Transforms Involving Cylinder Functions
of Imaginary Order, 194.
H CURVILINEAR COORDINATES, Page 203.
1. Elliptic Coordinates, 204.
2. Parabolic Coordinates, 210.
3. Two Dimensional Bipolar Coordinates, 212.
4. Spheroidal Coordinates, 219.
5. Paraboloidal Coordinates, 231.
6. Toroidal Coordinates, 233.
7. Three Dimensional Bipolar Coordinates, 242.
8. Some General Problems on Separation of Var¬
iables, 247.
O INTEGRAL EQUATIONS, Page 253.
1. Diffraction Theory, 254.
2. Electrostatics, 259.
CONTENTS Xi
part 2 SOLUTIONS, Page 273.
MATHEMATICAL APPENDIX, Page 381.
1. Special Functions Appearing in the Text, 381.
2. Expansions in Series of Orthogonal Functions,
384.
3. Some Definite Integrals Frequently Encountered
in the Applications, 386.
4. Expansion of Some Differential Operators in
Orthogonal Curvilinear Coordinates, 388.
Supplement. VARIATIONAL AND RELATED
METHODS, Page 391.
1. Variational Methods, 392.
1.1. Formulation of Variational Problems, 392.
1.2. The Ritz Method, 396.
1.3. Kantorovich s Method, 401.
2. Related Methods, 404.
2.1. Galerkin s Method, 404.
2.2. Collocation, 407.
2.3. Least Squares, 411.
3. References, 412.
BIBLIOGRAPHY, Page 415.
NAME INDEX, Page 423.
SUBJECT INDEX, Page 427.
|
| any_adam_object | 1 |
| author | Lebedev, Nikolaj N. Skalʹskaja, I. P. ca. 20./21. Jh Ufljand, Iakov S. |
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| author_variant | n n l nn nnl i p s ip ips i s u is isu |
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| id | DE-604.BV009047649 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T09:31:06Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005987979 |
| oclc_num | 258560300 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | XI, 429 S. zahlr. graph. Darst. |
| publishDate | 1965 |
| publishDateSearch | 1965 |
| publishDateSort | 1965 |
| publisher | Prentice-Hall |
| record_format | marc |
| series2 | Selected Russian publications in the mathematical sciences |
| spellingShingle | Lebedev, Nikolaj N. Skalʹskaja, I. P. ca. 20./21. Jh Ufljand, Iakov S. Problems of mathematical physics Physik (DE-588)4045956-1 gnd Numerische Mathematik (DE-588)4042805-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4045956-1 (DE-588)4042805-9 (DE-588)4155620-3 (DE-588)4037952-8 |
| title | Problems of mathematical physics |
| title_auth | Problems of mathematical physics |
| title_exact_search | Problems of mathematical physics |
| title_full | Problems of mathematical physics Nikolaj N. Lebedev ; J. P. Skalskaya ; Y. S. Uflyand |
| title_fullStr | Problems of mathematical physics Nikolaj N. Lebedev ; J. P. Skalskaya ; Y. S. Uflyand |
| title_full_unstemmed | Problems of mathematical physics Nikolaj N. Lebedev ; J. P. Skalskaya ; Y. S. Uflyand |
| title_short | Problems of mathematical physics |
| title_sort | problems of mathematical physics |
| topic | Physik (DE-588)4045956-1 gnd Numerische Mathematik (DE-588)4042805-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Physik Numerische Mathematik Mathematische Methode Mathematische Physik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005987979&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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