Mathematical physics: applied mathematics for scientists and engineers
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Weinheim
Wiley-VCH
2006
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Physics textbook
|
| Schlagworte: | |
| Online-Zugang: | Table of contents only Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references (p. 671) and index |
| Beschreibung: | XI, 678 S. graph. Darst. 24 cm |
| ISBN: | 3527406727 |
Internformat
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| 250 | |a 2. ed. | ||
| 264 | 1 | |a Weinheim |b Wiley-VCH |c 2006 | |
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Datensatz im Suchindex
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| adam_text | BRUCE R. KUSSE AND ERIK A. WESTWIG MATHEMATICAL PHYSICS APPLIED
MATHEMATICS FOR SCIENTISTS AND ENGINEERS 2ND EDITION WILEY- VCH
WILEY-VCH VERLAG GMBH & CO. KGAA CONTENTS 1 A REVIEW OF VECTOR AND
MATRIX ALGEBRA USING SUBSCRIPT/SUMMATION CONVENTIONS 1 1.1 NOTATION, 1
1.2 VECTOR OPERATIONS, 5 2 DIFFERENTIAL AND INTEGRAL OPERATIONS ON
VECTOR AND SCALAR FIELDS 18 2.1 PLOTTING SCALAR AND VECTOR FIELDS, 18
2.2 INTEGRAL OPERATORS, 20 2.3 DIFFERENTIAL OPERATIONS, 23 2.4 INTEGRAL
DEFINITIONS OF THE DIFFERENTIAL OPERATORS, 34 2.5 THE THEOREMS, 35 3
CURVILINEAR COORDINATE SYSTEMS 44 3.1 THE POSITION VECTOR, 44 3.2 THE
CYLINDRICAL SYSTEM, 45 3.3 THE SPHERICAL SYSTEM, 48 3.4 GENERAL
CURVILINEAR SYSTEMS, 49 3.5 THE GRADIENT, DIVERGENCE, AND CURL IN
CYLINDRICAL AND SPHERICAL SYSTEMS, 58 VII VLII CONTENTS 4 INTRODUCTION
TO TENSORS 67 4.1 THE CONDUCTIVITY TENSOR AND OHM S LAW, 67 4.2 GENERAL
TENSOR NOTATION AND TERMINOLOGY, 71 4.3 TRANSFORMATIONS BETWEEN
COORDINATE SYSTEMS, 71 4.4 TENSOR DIAGONALIZATION, 78 4.5 TENSOR
TRANSFORMATIONS IN CURVILINEAR COORDINATE SYSTEMS, 84 4.6
PSEUDO-OBJECTS, 86 5 THE DIRAC S-FUNCTION 100 5.1 EXAMPLES OF SINGULAR
FUNCTIONS IN PHYSICS, 100 5.2 TWO DEFINITIONS OF S(0, 103 5.3
5-FUNCTIONS WITH COMPLICATED ARGUMENTS, 108 5.4 INTEGRALS AND
DERIVATIVES OF S(T), 111 5.5 SINGULAR DENSITY FUNCTIONS, 114 5.6 THE
INFINITESIMAL ELECTRIC DIPOLE, 121 5.7 RIEMANN INTEGRATION AND THE DIRAC
S-FUNCTION, 125 6 INTRODUCTION TO COMPLEX VARIABLES 135 6.1 A COMPLEX
NUMBER REFRESHER, 135 6.2 FUNCTIONS OF A COMPLEX VARIABLE, 138 6.3
DERIVATIVES OF COMPLEX FUNCTIONS, 140 6.4 THE CAUCHY INTEGRAL THEOREM,
144 6.5 CONTOUR DEFORMATION, 146 6.6 THE CAUCHY INTEGRAL FORMULA, 147
6.7 TAYLOR AND LAURENT SERIES, 150 6.8 THE COMPLEX TAYLOR SERIES, 153
6.9 THE COMPLEX LAURENT SERIES, 159 6.10 THE RESIDUE THEOREM, 171 6.11
DEFINITE INTEGRALS AND CLOSURE, 175 6.12 CONFORMAL MAPPING, 189 CONTENTS
IX 7 FOURIER SERIES 219 7.1 THE SINE-COSINE SERIES, 219 7.2 THE
EXPONENTIAL FORM OF FOURIER SERIES, 227 7.3 CONVERGENCE OF FOURIER
SERIES, 231 7.4 THE DISCRETE FOURIER SERIES, 234 8 FOURIER TRANSFORMS
250 8.1 FOURIER SERIES AS T O - OO, 250 8.2 ORTHOGONALITY, 253 8.3
EXISTENCE OF THE FOURIER TRANSFORM, 254 8.4 THE FOURIER TRANSFORM
CIRCUIT, 256 8.5 PROPERTIES OF THE FOURIER TRANSFORM, 258 8.6 FOURIER
TRANSFORMS*EXAMPLES, 267 8.7 THE SAMPLING THEOREM, 290 9 LAPLACE
TRANSFORMS 303 9.1 LIMITS OF THE FOURIER TRANSFORM, 303 9.2 THE MODIFIED
FOURIER TRANSFORM, 306 9.3 THE LAPLACE TRANSFORM, 313 9.4 LAPLACE
TRANSFORM EXAMPLES, 314 9.5 PROPERTIES OF THE LAPLACE TRANSFORM, 318 9.6
THE LAPLACE TRANSFORM CIRCUIT, 327 9.7 DOUBLE-SIDED OR BILATERAL LAPLACE
TRANSFORMS, 331 10 DIFFERENTIAL EQUATIONS 339 10.1 TERMINOLOGY, 339 10.2
SOLUTIONS FOR FIRST-ORDER EQUATIONS, 342 10.3 TECHNIQUES FOR
SECOND-ORDER EQUATIONS, 347 10.4 THE METHOD OF FROBENIUS, 354 10.5 THE
METHOD OF QUADRATURE, 358 10.6 FOURIER AND LAPLACE TRANSFORM SOLUTIONS,
366 10.7 GREEN S FUNCTION SOLUTIONS, 376 X CONTENTS 11 SOLUTIONS TO
LAPLACE S EQUATION 424 11.1 CARTESIAN SOLUTIONS, 424 11.2 EXPANSIONS
WITH EIGENFUNCTIONS, 433 11.3 CYLINDRICAL SOLUTIONS, 441 11.4 SPHERICAL
SOLUTIONS, 458 12 INTEGRAL EQUATIONS 491 12.1 CLASSIFICATION OF LINEAR
INTEGRAL EQUATIONS, 492 12.2 THE CONNECTION BETWEEN DIFFERENTIAL AND
INTEGRAL EQUATIONS, 493 12.3 METHODS OF SOLUTION, 498 13 ADVANCED TOPICS
IN COMPLEX ANALYSIS 509 13.1 MULTIVALUED FUNCTIONS, 509 13.2 THE METHOD
OF STEEPEST DESCENT, 542 14 TENSORS IN NON-ORTHOGONAL COORDINATE SYSTEMS
562 14.1 A BRIEF REVIEW OF TENSOR TRANSFORMATIONS, 562 14.2
NON-ORTHONORMAL COORDINATE SYSTEMS, 564 15 INTRODUCTION TO GROUP THEORY
597 15.1 THE DEFINITION OF A GROUP, 597 15.2 FINITE GROUPS AND THEIR
REPRESENTATIONS, 598 15.3 SUBGROUPS, COSETS, CLASS, AND CHARACTER, 607
15.4 IRREDUCIBLE MATRIX REPRESENTATIONS, 612 15.5 CONTINUOUS GROUPS, 630
APPENDIX A THE LEVI-CIVITA IDENTITY 639 APPENDIX B THE CURVILINEAR CURL
641 APPENDIX C THE DOUBLE INTEGRAL IDENTITY 645 APPENDIX D GREEN S
FUNCTION SOLUTIONS 647 APPENDIX E PSEUDOVECTORS AND THE MIRROR TEST 653
CONTENTS XI APPENDIX F CHRISTOFFEL SYMBOLS AND COVARIANT DERIVATIVES 655
APPENDIX G CALCULUS OF VARIATIONS 661 ERRATA LIST 665 BIBLIOGRAPHY 671
INDEX 673
|
| adam_txt |
BRUCE R. KUSSE AND ERIK A. WESTWIG MATHEMATICAL PHYSICS APPLIED
MATHEMATICS FOR SCIENTISTS AND ENGINEERS 2ND EDITION WILEY- VCH
WILEY-VCH VERLAG GMBH & CO. KGAA CONTENTS 1 A REVIEW OF VECTOR AND
MATRIX ALGEBRA USING SUBSCRIPT/SUMMATION CONVENTIONS 1 1.1 NOTATION, 1
1.2 VECTOR OPERATIONS, 5 2 DIFFERENTIAL AND INTEGRAL OPERATIONS ON
VECTOR AND SCALAR FIELDS 18 2.1 PLOTTING SCALAR AND VECTOR FIELDS, 18
2.2 INTEGRAL OPERATORS, 20 2.3 DIFFERENTIAL OPERATIONS, 23 2.4 INTEGRAL
DEFINITIONS OF THE DIFFERENTIAL OPERATORS, 34 2.5 THE THEOREMS, 35 3
CURVILINEAR COORDINATE SYSTEMS 44 3.1 THE POSITION VECTOR, 44 3.2 THE
CYLINDRICAL SYSTEM, 45 3.3 THE SPHERICAL SYSTEM, 48 3.4 GENERAL
CURVILINEAR SYSTEMS, 49 3.5 THE GRADIENT, DIVERGENCE, AND CURL IN
CYLINDRICAL AND SPHERICAL SYSTEMS, 58 VII VLII CONTENTS 4 INTRODUCTION
TO TENSORS 67 4.1 THE CONDUCTIVITY TENSOR AND OHM'S LAW, 67 4.2 GENERAL
TENSOR NOTATION AND TERMINOLOGY, 71 4.3 TRANSFORMATIONS BETWEEN
COORDINATE SYSTEMS, 71 4.4 TENSOR DIAGONALIZATION, 78 4.5 TENSOR
TRANSFORMATIONS IN CURVILINEAR COORDINATE SYSTEMS, 84 4.6
PSEUDO-OBJECTS, 86 5 THE DIRAC S-FUNCTION 100 5.1 EXAMPLES OF SINGULAR
FUNCTIONS IN PHYSICS, 100 5.2 TWO DEFINITIONS OF S(0, 103 5.3
5-FUNCTIONS WITH COMPLICATED ARGUMENTS, 108 5.4 INTEGRALS AND
DERIVATIVES OF S(T), 111 5.5 SINGULAR DENSITY FUNCTIONS, 114 5.6 THE
INFINITESIMAL ELECTRIC DIPOLE, 121 5.7 RIEMANN INTEGRATION AND THE DIRAC
S-FUNCTION, 125 6 INTRODUCTION TO COMPLEX VARIABLES 135 6.1 A COMPLEX
NUMBER REFRESHER, 135 6.2 FUNCTIONS OF A COMPLEX VARIABLE, 138 6.3
DERIVATIVES OF COMPLEX FUNCTIONS, 140 6.4 THE CAUCHY INTEGRAL THEOREM,
144 6.5 CONTOUR DEFORMATION, 146 6.6 THE CAUCHY INTEGRAL FORMULA, 147
6.7 TAYLOR AND LAURENT SERIES, 150 6.8 THE COMPLEX TAYLOR SERIES, 153
6.9 THE COMPLEX LAURENT SERIES, 159 6.10 THE RESIDUE THEOREM, 171 6.11
DEFINITE INTEGRALS AND CLOSURE, 175 6.12 CONFORMAL MAPPING, 189 CONTENTS
IX 7 FOURIER SERIES 219 7.1 THE SINE-COSINE SERIES, 219 7.2 THE
EXPONENTIAL FORM OF FOURIER SERIES, 227 7.3 CONVERGENCE OF FOURIER
SERIES, 231 7.4 THE DISCRETE FOURIER SERIES, 234 8 FOURIER TRANSFORMS
250 8.1 FOURIER SERIES AS T O - OO, 250 8.2 ORTHOGONALITY, 253 8.3
EXISTENCE OF THE FOURIER TRANSFORM, 254 8.4 THE FOURIER TRANSFORM
CIRCUIT, 256 8.5 PROPERTIES OF THE FOURIER TRANSFORM, 258 8.6 FOURIER
TRANSFORMS*EXAMPLES, 267 8.7 THE SAMPLING THEOREM, 290 9 LAPLACE
TRANSFORMS 303 9.1 LIMITS OF THE FOURIER TRANSFORM, 303 9.2 THE MODIFIED
FOURIER TRANSFORM, 306 9.3 THE LAPLACE TRANSFORM, 313 9.4 LAPLACE
TRANSFORM EXAMPLES, 314 9.5 PROPERTIES OF THE LAPLACE TRANSFORM, 318 9.6
THE LAPLACE TRANSFORM CIRCUIT, 327 9.7 DOUBLE-SIDED OR BILATERAL LAPLACE
TRANSFORMS, 331 10 DIFFERENTIAL EQUATIONS 339 10.1 TERMINOLOGY, 339 10.2
SOLUTIONS FOR FIRST-ORDER EQUATIONS, 342 10.3 TECHNIQUES FOR
SECOND-ORDER EQUATIONS, 347 10.4 THE METHOD OF FROBENIUS, 354 10.5 THE
METHOD OF QUADRATURE, 358 10.6 FOURIER AND LAPLACE TRANSFORM SOLUTIONS,
366 10.7 GREEN'S FUNCTION SOLUTIONS, 376 X CONTENTS 11 SOLUTIONS TO
LAPLACE'S EQUATION 424 11.1 CARTESIAN SOLUTIONS, 424 11.2 EXPANSIONS
WITH EIGENFUNCTIONS, 433 11.3 CYLINDRICAL SOLUTIONS, 441 11.4 SPHERICAL
SOLUTIONS, 458 12 INTEGRAL EQUATIONS 491 12.1 CLASSIFICATION OF LINEAR
INTEGRAL EQUATIONS, 492 12.2 THE CONNECTION BETWEEN DIFFERENTIAL AND
INTEGRAL EQUATIONS, 493 12.3 METHODS OF SOLUTION, 498 13 ADVANCED TOPICS
IN COMPLEX ANALYSIS 509 13.1 MULTIVALUED FUNCTIONS, 509 13.2 THE METHOD
OF STEEPEST DESCENT, 542 14 TENSORS IN NON-ORTHOGONAL COORDINATE SYSTEMS
562 14.1 A BRIEF REVIEW OF TENSOR TRANSFORMATIONS, 562 14.2
NON-ORTHONORMAL COORDINATE SYSTEMS, 564 15 INTRODUCTION TO GROUP THEORY
597 15.1 THE DEFINITION OF A GROUP, 597 15.2 FINITE GROUPS AND THEIR
REPRESENTATIONS, 598 15.3 SUBGROUPS, COSETS, CLASS, AND CHARACTER, 607
15.4 IRREDUCIBLE MATRIX REPRESENTATIONS, 612 15.5 CONTINUOUS GROUPS, 630
APPENDIX A THE LEVI-CIVITA IDENTITY 639 APPENDIX B THE CURVILINEAR CURL
641 APPENDIX C THE DOUBLE INTEGRAL IDENTITY 645 APPENDIX D GREEN'S
FUNCTION SOLUTIONS 647 APPENDIX E PSEUDOVECTORS AND THE MIRROR TEST 653
CONTENTS XI APPENDIX F CHRISTOFFEL SYMBOLS AND COVARIANT DERIVATIVES 655
APPENDIX G CALCULUS OF VARIATIONS 661 ERRATA LIST 665 BIBLIOGRAPHY 671
INDEX 673 |
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| genre_facet | Lehrbuch |
| id | DE-604.BV021762433 |
| illustrated | Illustrated |
| index_date | 2024-07-02T15:35:41Z |
| indexdate | 2024-07-09T20:43:29Z |
| institution | BVB |
| isbn | 3527406727 |
| language | English |
| lccn | 2006277389 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014975493 |
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| owner | DE-898 DE-BY-UBR DE-634 DE-83 |
| owner_facet | DE-898 DE-BY-UBR DE-634 DE-83 |
| physical | XI, 678 S. graph. Darst. 24 cm |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Wiley-VCH |
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| series2 | Physics textbook |
| spelling | Kusse, Bruce R. 1938- Verfasser (DE-588)130871788 aut Mathematical physics applied mathematics for scientists and engineers Bruce R. Kusse ; Erik A. Westwig 2. ed. Weinheim Wiley-VCH 2006 XI, 678 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Physics textbook Includes bibliographical references (p. 671) and index Physique mathématique Mathematische Physik Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Mathematische Physik (DE-588)4037952-8 s DE-604 Westwig, Erik A. Sonstige oth http://www.loc.gov/catdir/toc/fy0610/2006277389.html Table of contents only HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014975493&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kusse, Bruce R. 1938- Mathematical physics applied mathematics for scientists and engineers Physique mathématique Mathematische Physik Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4123623-3 |
| title | Mathematical physics applied mathematics for scientists and engineers |
| title_auth | Mathematical physics applied mathematics for scientists and engineers |
| title_exact_search | Mathematical physics applied mathematics for scientists and engineers |
| title_exact_search_txtP | Mathematical physics applied mathematics for scientists and engineers |
| title_full | Mathematical physics applied mathematics for scientists and engineers Bruce R. Kusse ; Erik A. Westwig |
| title_fullStr | Mathematical physics applied mathematics for scientists and engineers Bruce R. Kusse ; Erik A. Westwig |
| title_full_unstemmed | Mathematical physics applied mathematics for scientists and engineers Bruce R. Kusse ; Erik A. Westwig |
| title_short | Mathematical physics |
| title_sort | mathematical physics applied mathematics for scientists and engineers |
| title_sub | applied mathematics for scientists and engineers |
| topic | Physique mathématique Mathematische Physik Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Physique mathématique Mathematische Physik Mathematical physics Lehrbuch |
| url | http://www.loc.gov/catdir/toc/fy0610/2006277389.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014975493&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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