Verfügbarkeit: Mathematical methods for physicists | Technische Universität München

Mathematical methods for physicists:

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Bibliographische Detailangaben
Beteiligte Personen:	Arfken, George B. 1922- (VerfasserIn), Weber, Hans J. (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Amsterdam [u.a.] Elsevier Acad. Press 2005
Ausgabe:	6. ed., internat. ed.
Schlagwörter:	Mathematische Physik Mathematical analysis Mathematical physics Mathematische Methode Schrödinger-Gleichung Mathematik Theorie Vektorrechnung Physik Quantenmechanik Physiker Analysis Maxwellsche Gleichungen Elektromagnetismus Lehrbuch
Links:	http://www.gbv.de/dms/ilmenau/toc/563555297.PDF http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014723795&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XII, 1182 S. graph. Darst.
ISBN:	0120885840 9780120885848

Internformat

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Datensatz im Suchindex

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adam_text	IMAGE 1 MATHEMATICAL METHODS FOR PHYSICISTS SIXTH EDITION GEORGE B. ARFKEN MIAMI UNIVERSITY OXFORD, OH HANS J. WEBER UNIVERSITY OF VIRGINIA CHARLOTTESVILLE, VA ACADEMIC PRESS AMSTERDAM BOSTON HEIDELBERG LONDON NEW YORK OXFORD PARIS SAN DIEGO SAN FRANCISCO SINGAPORE SYDNEY TOKYO IMAGE 2 CONTENTS PREFACE XI 1 VECTOR ANALYSIS 1 1.1 DEFINITIONS, ELEMENTARY APPROACH 1 1.2 ROTATION OFTHE COORDINATE AXES 7 1.3 SCALAR OR DOT PRODUCT 12 1.4 VECTOR OR CROSS PRODUCT 18 1.5 TRIPLE SCALAR PRODUCT, TRIPLE VECTOR PRODUCT 25 1.6 GRADIENT, V 32 1.7 DIVERGENCE, V 38 1.8 CURL, VX 43 1.9 SUCCESSIVE APPLICATIONS OFV 49 1.10 VECTOR INTEGRATION 54 1.11 GAUSS THEOREM 60 1.12 STOKES THEOREM 64 1.13 POTENTIAL THEORY 68 1.14 GAUSS LAW, POISSON S EQUATION 79 1.15 DIRAC DELTA FUNCTION 83 1.16 HELMHOLTZ S THEOREM 95 ADDITIONAL READINGS 101 2 VECTOR ANALYSIS IN CURVED COORDINATES AND TENSORS 103 2.1 ORTHOGONAL COORDINATES IN R 3 103 2.2 DIFFERENTIAL VECTOR OPERATORS 110 2.3 SPECIAL COORDINATE SYSTEMS: INTRODUCTION 114 2.4 CIRCULAR CYLINDER COORDINATES 115 2.5 SPHERICAL POLAR COORDINATES 123 V IMAGE 3 VI CONTENTS 2.6 TENSOR ANALYSIS 133 2.7 CONTRACTION, DIRECT PRODUCT 139 2.8 QUOTIENT RULE 141 2.9 PSEUDOTENSORS, DUAL TENSORS 142 2.10 GENERAL TENSORS 151 2.11 TENSOR DERIVATIVE OPERATORS 160 ADDITIONAL READINGS 163 3 DETERMINANTS AND MATRICES 165 3.1 DETERMINANTS 165 3.2 MATRICES 176 3.3 ORTHOGONAL MATRICES 195 3.4 HERMITIAN MATRICES, UNITARY MATRICES 208 3.5 DIAGONALIZATION OF MATRICES 215 3.6 NORMAL MATRICES 231 ADDITIONAL READINGS 239 4 GROUP THEORY 241 4.1 INTRODUCTION TO GROUP THEORY 241 4.2 GENERATORS OF CONTINUOUS GROUPS 246 4.3 ORBITAL ANGULAR MOMENTUM 261 4.4 ANGULAR MOMENTUM COUPLING 266 4.5 HOMOGENEOUS LORENTZ GROUP 278 4.6 LORENTZ COVARIANCE OF MAXWELL S EQUATIONS 283 4.7 DISCRETE GROUPS 291 4.8 DIFFERENTIAL FORMS 304 ADDITIONAL READINGS 319 5 INFINITE SERIES 321 5.1 FUNDAMENTAL CONCEPTS 321 5.2 CONVERGENCE TESTS 325 5.3 ALTERNATING SERIES 339 5.4 ALGEBRA OF SERIES 342 5.5 SERIES OF FUNCTIONS 348 5.6 TAYLOR S EXPANSION 352 5.7 POWER SERIES 363 5.8 ELLIPTIC INTEGRALS 370 5.9 BERNOULLI NUMBERS, EULER-MACLAURIN FORMULA 376 5.10 ASYMPTOTIC SERIES 389 5.11 INFINITE PRODUCTS 396 ADDITIONAL READINGS 401 6 FUNCTIONS OF A COMPLEX VARIABLE I ANALYTIC PROPERTIES, MAPPING 403 6.1 COMPLEX ALGEBRA 404 6.2 CAUCHY-RIEMANN CONDITIONS 413 6.3 CAUCHY S INTEGRAL THEOREM 418 IMAGE 4 CONTENTS VII 6.4 CAUCHY S INTEGRAL FORMULA 425 6.5 LAURENT EXPANSION 430 6.6 SINGULARITIES 438 6.7 MAPPING 443 6.8 CONFORMAL MAPPING 451 ADDITIONAL READINGS 453 7 FUNCTIONS OF A COMPLEX VARIABLE II 455 7.1 CALCULUS OF RESIDUES 455 7.2 DISPERSION RELATIONS 482 7.3 METHOD OF STEEPEST DESCENTS 489 ADDITIONAL READINGS 497 8 THE GAMMA FUNCTION (FACTORIAL FUNCTION) 499 8.1 DEFINITIONS, SIMPLE PROPERTIES 499 8.2 DIGAMMA AND POLYGAMMA FUNCTIONS 510 8.3 STIRLING S SERIES 516 8.4 THE BETA FUNCTION 520 8.5 INCOMPLETE GAMMA FUNCTION 527 ADDITIONAL READINGS 533 9 DIFFERENTIAL EQUATIONS 535 9.1 PARTIAL DIFFERENTIAL EQUATIONS 535 9.2 FIRST-ORDER DIFFERENTIAL EQUATIONS 543 9.3 SEPARATION OF VARIABLES 554 9.4 SINGULAR POINTS 562 9.5 SERIES SOLUTIONS - FROBENIUS METHOD 565 9.6 A SECOND SOLUTION 578 9.7 NONHOMOGENEOUS EQUATION - GREEN S FUNCTION 592 9.8 HEATFLOW, ORDIFFUSION, PDE 611 ADDITIONAL READINGS 618 10 STURM-LIOUVILLE THEORY-ORTHOGONAL FUNCTIONS 621 10.1 SELF-ADJOINT ODES 622 10.2 HERMITIAN OPERATORS 634 10.3 GRAM-SCHMIDT ORTHOGONALIZATION 642 10.4 COMPLETENESS OF EIGENFUNCTIONS 649 10.5 GREEN S FUNCTION - EIGENFUNCTION EXPANSION 662 ADDITIONAL READINGS 674 11 BESSEL FUNCTIONS 675 11.1 BESSEL FUNCTIONS OFTHE FIRST KIND, J V (X) 675 11.2 ORTHOGONALITY 694 11.3 NEUMANN FUNCTIONS 699 11.4 HANKE L FUNCTIONS 707 11.5 MODIFIED BESSEL FUNCTIONS, I V (X) AND K V (X) 713 IMAGE 5 11.6 ASYMPTOTIC EXPANSIONS 719 11.7 SPHERICAL BESSEL FUNCTIONS 725 ADDITIONAL READINGS 739 12 LEGENDRE FUNCTIONS 741 12.1 GENERATING FUNCTION 741 12.2 RECURRENCE RELATIONS 749 12.3 ORTHOGONALITY 756 12.4 ALTERNATE DEFINITIONS 767 12.5 ASSOCIATED LEGENDRE FUNCTIONS 771 12.6 SPHERICAL HARMONICS 786 12.7 ORBITAL ANGULAR MOMENTUM OPERATORS 793 12.8 ADDITION THEOREM FOR SPHERICAL HARMONICS 797 12.9 INTEGRALS OFTHREE Y S 803 12.10 LEGENDRE FUNCTIONS OF THE SECOND KIND 806 12.11 VECTOR SPHERICAL HARMONICS 813 ADDITIONAL READINGS 816 13 MORE SPECIAL FUNCTIONS 817 13.1 HERMITE FUNCTIONS 817 13.2 LAGUERRE FUNCTIONS 837 13.3 CHEBYSHEV POLYNOMIALS 848 13.4 HYPERGEOMETRIC FUNCTIONS 859 13.5 CONFLUENT HYPERGEOMETRIC FUNCTIONS 863 13.6 MATHIEU FUNCTIONS 869 ADDITIONAL READINGS 879 14 FOURIER SERIES 881 14.1 GENERAL PROPERTIES 881 14.2 ADVANTAGES, USES OF FOURIER SERIES 888 14.3 APPLICATIONS OF FOURIER SERIES 892 14.4 PROPERTIES OF FOURIER SERIES 903 14.5 GIBBS PHENOMENON 910 14.6 DISCRETE FOURIER TRANSFORM 914 14.7 FOURIER EXPANSIONS OFMATHIEU FUNCTIONS 919 ADDITIONAL READINGS 929 15 INTEGRAL TRANSFORMS 931 15.1 INTEGRAL TRANSFORMS 931 15.2 DEVELOPMENT OF THE FOURIER INTEGRAL 936 15.3 FOURIER TRANSFORMS - INVERSION THEOREM 938 15.4 FOURIER TRANSFORM OF DERIVATIVES 946 15.5 CONVOLUTION THEOREM 951 15.6 MOMENTUM REPRESENTATION 955 15.7 TRANSFER FUNCTIONS 961 15.8 LAPLACE TRANSFORMS 965 IMAGE 6 CONTENTS IX 15.9 LAPLACE TRANSFORM OF DERIVATIVES 971 15.10 OTHER PROPERTIES 979 15.11 CONVOLUTION (FALTUNGS) THEOREM 990 15.12 INVERSE LAPLACE TRANSFORM 994 ADDITIONAL READINGS 1003 16 INTEGRAL EQUATIONS 1005 16.1 INTRODUCTION 1005 16.2 INTEGRAL TRANSFORMS, GENERATING FUNCTIONS 1012 16.3 NEUMANN SERIES, SEPARABLE (DEGENERATE) KERNELS 1018 16.4 HILBERT-SCHMIDT THEORY 1029 ADDITIONAL READINGS 1036 17 CALCULUS OF VARIATIONS 1037 17.1 A DEPENDENT AND AN INDEPENDENT VARIABLE 1038 17.2 APPLICATIONS OF THE EULER EQUATION 1044 17.3 SEVERAL DEPENDENT VARIABLES 1052 17.4 SEVERAL INDEPENDENT VARIABLES 1056 17.5 SEVERAL DEPENDENT AND INDEPENDENT VARIABLES 1058 17.6 LAGRANGIAN MULTIPLIERS 1060 17.7 VARIATION WITH CONSTRAINTS 1065 17.8 RAYLEIGH-RITZ VARIATIONAL TECHNIQUE 1072 ADDITIONAL READINGS 1076 18 NONLINEAR METHODS AND CHAOS 1079 18.1 INTRODUCTION 1079 18.2 THE LOGISTIC MAP 1080 18.3 SENSITIVITY TO INITIAL CONDITIONS AND PARAMETERS 1085 18.4 NONLINEAR DIFFERENTIAL EQUATIONS 1088 ADDITIONAL READINGS 1107 19 PROBABILITY 1109 19.1 DEFINITIONS, SIMPLE PROPERTIES 1109 19.2 RANDOM VARIABLES 1116 19.3 BINOMIAL DISTRIBUTION 1128 19.4 POISSON DISTRIBUTION 1130 19.5 GAUSS NORMAL DISTRIBUTION 1134 19.6 STATISTICS 1138 ADDITIONAL READINGS 1150 GENERAL REFERENCES 1150 INDEX 1153
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genre	(DE-588)4123623-3 Lehrbuch gnd-content
genre_facet	Lehrbuch
id	DE-604.BV021507135
illustrated	Illustrated
indexdate	2024-12-20T12:35:11Z
institution	BVB
isbn	0120885840 9780120885848
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-014723795
oclc_num	71284064
open_access_boolean
owner	DE-703 DE-20 DE-91G DE-BY-TUM DE-92 DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-B768
owner_facet	DE-703 DE-20 DE-91G DE-BY-TUM DE-92 DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-B768
physical	XII, 1182 S. graph. Darst.
publishDate	2005
publishDateSearch	2005
publishDateSort	2005
publisher	Elsevier Acad. Press
record_format	marc
spellingShingle	Arfken, George B. 1922- Weber, Hans J. Mathematical methods for physicists Mathematische Physik Mathematical analysis Mathematical physics Mathematische Methode (DE-588)4155620-3 gnd Schrödinger-Gleichung (DE-588)4053332-3 gnd Mathematik (DE-588)4037944-9 gnd Theorie (DE-588)4059787-8 gnd Mathematische Physik (DE-588)4037952-8 gnd Vektorrechnung (DE-588)4062471-7 gnd Physik (DE-588)4045956-1 gnd Quantenmechanik (DE-588)4047989-4 gnd Physiker (DE-588)4045968-8 gnd Analysis (DE-588)4001865-9 gnd Maxwellsche Gleichungen (DE-588)4221398-8 gnd Elektromagnetismus (DE-588)4014306-5 gnd
subject_GND	(DE-588)4155620-3 (DE-588)4053332-3 (DE-588)4037944-9 (DE-588)4059787-8 (DE-588)4037952-8 (DE-588)4062471-7 (DE-588)4045956-1 (DE-588)4047989-4 (DE-588)4045968-8 (DE-588)4001865-9 (DE-588)4221398-8 (DE-588)4014306-5 (DE-588)4123623-3
title	Mathematical methods for physicists
title_auth	Mathematical methods for physicists
title_exact_search	Mathematical methods for physicists
title_full	Mathematical methods for physicists George B. Arfken ; Hans J. Weber
title_fullStr	Mathematical methods for physicists George B. Arfken ; Hans J. Weber
title_full_unstemmed	Mathematical methods for physicists George B. Arfken ; Hans J. Weber
title_short	Mathematical methods for physicists
title_sort	mathematical methods for physicists
topic	Mathematische Physik Mathematical analysis Mathematical physics Mathematische Methode (DE-588)4155620-3 gnd Schrödinger-Gleichung (DE-588)4053332-3 gnd Mathematik (DE-588)4037944-9 gnd Theorie (DE-588)4059787-8 gnd Mathematische Physik (DE-588)4037952-8 gnd Vektorrechnung (DE-588)4062471-7 gnd Physik (DE-588)4045956-1 gnd Quantenmechanik (DE-588)4047989-4 gnd Physiker (DE-588)4045968-8 gnd Analysis (DE-588)4001865-9 gnd Maxwellsche Gleichungen (DE-588)4221398-8 gnd Elektromagnetismus (DE-588)4014306-5 gnd
topic_facet	Mathematische Physik Mathematical analysis Mathematical physics Mathematische Methode Schrödinger-Gleichung Mathematik Theorie Vektorrechnung Physik Quantenmechanik Physiker Analysis Maxwellsche Gleichungen Elektromagnetismus Lehrbuch
url	http://www.gbv.de/dms/ilmenau/toc/563555297.PDF http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014723795&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT arfkengeorgeb mathematicalmethodsforphysicists AT weberhansj mathematicalmethodsforphysicists

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