An introduction to mathematical methods of physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Menlo Park, Calif. [u.a.]
Benjamin/Cummings
1979
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 342 S. |
| ISBN: | 0805351302 |
Internformat
MARC
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-001485391 | ||
Datensatz im Suchindex
| _version_ | 1804116717531561984 |
|---|---|
| adam_text | Contents
Chapter 1 Vectors and Matrices, 1
1 1 Linear Vector Spaces, 1
1 2 Linear Operations, 4
1 3 Coordinate Transformations, 13
1 4 Eigenvalue Problems, 19
Chapter 2 Abstract Formalism of Vector Spaces, 31
2 1 Bra Ket Notation, 31
2 2 Green s Functions and the Inhomogeneous Equation, 35
2 3 Perturbation Theory, 39
Chapter 3 Ordinary Differential Equations, 51
3 1 Solution in Closed Form, 51
3 2 Power Series Solutions. 65
3 3 Legendre Functions, 76
3 4 Bessel Functions, 80
3 5 Hypergeometric Functions, 85
Chapter 4 Function Spaces and Expansions in
Orthogonal Sets, 92
4 1 Transition from the Discrete Case, 92
4 2 The Sturm Liouville Equation, 94
4 3 Use of Uncountable Basis Sets Fourier Transforms, 103
4 4 Some More General Ideas about Function Spaces. 107
4 5 Ladder Operators for Function Spaces, 109
vii
viii CONTENTS
Chapter 5 infinite Series, 114
5 1 Convergence, 114
5 2 Familiar Series, 119
5 3 Transformation of Series, 120
Chapter 6 Evaluation of Integrals, 125
6 1 Elementary Methods, 125
6 2 Use of Symmetry Arguments, 130
Chapter 7 Some Properties of Functions of a Complex
Variable, 135
7 1 Functions of a Complex Variable as Mappings, 136
7 2 Basic Properties of Analytic Functions, 144
7 3 Series Expansions of Complex Functions, 154
7 4 Poles on the Contour, 160
7 5 Analytic Continuation, 162
Chapter 8 Uses of Complex Variable Theory I:
Evaluation of Integrals, 168
8 1 Contour Integration, 168
8 2 Method of Steepest Descent, 182
8 3 Sommerfeld Watson Transformation, 188
Chapter 9 Uses of Complex Variable Theory II:
Transform Techniques and Conformal Mapping, 193
9 1 Integral Transforms, 193
9 2 Conformal Mapping, 216
Chapter 10 Uses of Complex Variable Theory III:
Special Topics, 229
10 1 Dispersion Relations, 230
10 2 Contour Integral Representations of Special Functions, 239
10 3 Derivation of the WKB Connection Formulae, 257
CONTENTS ix
Chapter 11 Integral Equations, 269
11 1 Classification, 269
11 2 Degenerate Kernels, 270
11 3 Miscellaneous Devices, 272
11 4 Schmidt Hilbert Theory, 276
11 5 Wiener Hopf Method, 282
Chapter 12 Partial Differential Equations, 286
12 1 Introduction, 287
12 2 Boundary Conditions, 288
12 3 Separation of Variables I: Basic Methods, 298
12 4 Separation of Variables II: Perturbations and Green s Functions, 313
12 5 Integral Transform Methods, 324
References, 337
Index, 340
|
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| ctrlnum | (OCoLC)4549596 (DE-599)BVBBV002260270 |
| dewey-full | 530.1/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1/5 |
| dewey-search | 530.1/5 |
| dewey-sort | 3530.1 15 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:57Z |
| institution | BVB |
| isbn | 0805351302 |
| language | English |
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| spelling | Jones, Lorella M. 1943- Verfasser (DE-588)172176328 aut An introduction to mathematical methods of physics Menlo Park, Calif. [u.a.] Benjamin/Cummings 1979 IX, 342 S. txt rdacontent n rdamedia nc rdacarrier Fisica matematica larpcal Mathematische Physik Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001485391&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jones, Lorella M. 1943- An introduction to mathematical methods of physics Fisica matematica larpcal Mathematische Physik Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4037952-8 |
| title | An introduction to mathematical methods of physics |
| title_auth | An introduction to mathematical methods of physics |
| title_exact_search | An introduction to mathematical methods of physics |
| title_full | An introduction to mathematical methods of physics |
| title_fullStr | An introduction to mathematical methods of physics |
| title_full_unstemmed | An introduction to mathematical methods of physics |
| title_short | An introduction to mathematical methods of physics |
| title_sort | an introduction to mathematical methods of physics |
| topic | Fisica matematica larpcal Mathematische Physik Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Fisica matematica Mathematische Physik Mathematical physics |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001485391&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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