Mathematical methods for students of physics and related fields:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2000
|
| Schriftenreihe: | Undergraduate texts in contemporary physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 659 S. Ill., graph. Darst. |
| ISBN: | 0387989587 |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text | ATHEMATICAL METHODS FOR STUDENTS OF PHYSICS AND RELATED FIELDS SADRI
HASSANI WITH 179 ILLUSTRATIONS SPRINGER CONTENTS PREFACE VII NOTE TO THE
READER XI 1 COORDINATE SYSTEMS AND VECTORS 1 1.1 VECTORS IN A PLANE AND
IN SPACE 1 1.2 COORDINATE SYSTEMS 10 1.3 VECTORS IN DIFFERENT COORDINATE
SYSTEMS 15 1.4 RELATIONS AMONG UNIT VECTORS 32 1.5 PROBLEMS 38 2
DIFFERENTIATION 45 2.1 THE DERIVATIVE 46 2.2 PARTIAL DERIVATIVES 49 2.3
ELEMENTS OF LENGTH, AREA, AND VOLUME 62 2.4 PROBLEMS 71 3 INTEGRATION 77
3.1 / MEANS /UM 77 3.2 PROPERTIES OF INTEGRAL 81 3.3 APPLICATIONS:
GENERAL GUIDELINES 92 3.4 APPLICATIONS: SINGLE INTEGRALS 99 3.5
APPLICATIONS: DOUBLE INTEGRALS 115 3.6 APPLICATIONS: TRIPLE INTEGRALS
123 3.7 PROBLEMS 130 XIV CONTENTS 4 VECTORS 139 4.1 VECTORS IN A PLANE
REVISITED 140 4.2 VECTORS IN SPACE 160 4.3 DETERMINANT 171 4.4
THEJACOBIAN 176 4.5 FINITE-DIMENSIONAL VECTOR SPACES 180 4.6 ORTHOGONAL
POLYNOMIALS 193 4.7 SYSTEMS OF LINEAR EQUATIONS 197 4.8 PROBLEMS 201 5
INFINITE SERIES 205 5.1 INFINITE SEQUENCES 205 5.2 SUMMATIONS 208 5.3
INFINITE SERIES 213 5.4 SEQUENCES AND SERIES OF FUNCTIONS 221 5.5 POWER
SERIES . 227 5.6 FOURIER SERIES 243 5.7 MULTIVARIABLE TAYLOR SERIES 249
5.8 APPLICATION TO DIFFERENTIAL EQUATIONS 252 5.9 PROBLEMS 256 6
INTEGRALS AND SERIES AS FUNCTIONS 264 6.1 INTEGRALS AS FUNCTIONS 264 6.2
POWER SERIES AS FUNCTIONS 275 6.3 PROBLEMS 285 7 DIRAC DELTA FUNCTION
289 7.1 ONE-VARIABLE CASE 289 7.2 TWO-VARIABLE CASE 302 7.3
THREE-VARIABLE CASE 308 7.4 PROBLEMS 315 8 VECTOR ANALYSIS 320 8.1 SOLID
ANGLE . . . 321 8.2 TIME DERIVATIVE OF VECTORS 328 8.3 THE GRADIENT 334
8.4 FLUX OF A VECTOR FIELD .339 8.5 FLUX DENSITY = DIVERGENCE 344 8.6
THE LINE INTEGRAL 357 8.7 CURL OF A VECTOR FIELD AND STOKES THEOREM 362
8.8 CONSERVATIVE VECTOR FIELDS 370 8.9 DOUBLE DEL OPERATIONS 376 8.10
MAXWELL S EQUATIONS 381 8.11 CURVILINEAR VECTOR ANALYSIS 386 CONTENTS XV
8.12 VECTORS AND INDICES 399 8.13 PROBLEMS 405 9 COMPLEX ARITHMETIC 413
9.1 CARTESIAN FORM OF COMPLEX NUMBERS 413 9.2 POLAR FORM OF COMPLEX
NUMBERS 418 9.3 FOURIER SERIES REVISITED 425 9.4 PROBLEMS 428 10 COMPLEX
ANALYSIS 432 10.1 COMPLEX FUNCTIONS 432 10.2 COMPLEX SERIES 448 10.3
TAYLOR AND LAURENT SERIES 452 10.4 CALCULUS OF RESIDUES 456 10.5
PROBLEMS 467 11 DIFFERENTIAL EQUATIONS 474 11.1 FROM PDES TO ODES 475
11.2 FIRST-ORDER DIFFERENTIAL EQUATIONS . . 483 11.3 SECOND-ORDER
LINEAR DIFFERENTIAL EQUATIONS 494 11.4 SOLDES WITH CONSTANT COEFFICIENTS
502 11.5 PROBLEMS 514 12 LAPLACE S EQUATION 519 12.1 UNIQUENESS OF
SOLUTIONS 520 12.2 CARTESIAN COORDINATES 522 12.3 SPHERICAL COORDINATES
532 12.4 CYLINDRICAL COORDINATES 562 12.5 PROBLEMS 580 13 OTHER PDES OF
MATHEMATICAL PHYSICS 587 13.1 THE HEAT EQUATION 587 13.2 THE SCHRODINGER
EQUATION 592 13.3 THE WAVE EQUATION 607 13.4 PROBLEMS 615 14 NONLINEAR
DYNAMICS AND CHAOS 618 14.1 SYSTEMS OBEYING ITERATED MAPS 619 14.2
SYSTEMS OBEYING DES 628 14.3 UNIVERSALITY OF CHAOS 639 14.4 PROBLEMS 644
BIBLIOGRAPHY 647 INDEX 649
|
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| author | Hassani, Sadri |
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| author_facet | Hassani, Sadri |
| author_role | aut |
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| author_variant | s h sh |
| building | Verbundindex |
| bvnumber | BV023782525 |
| classification_rvk | SK 950 |
| ctrlnum | (OCoLC)247848765 (DE-599)BVBBV023782525 |
| dewey-full | 530.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15 |
| dewey-search | 530.15 |
| dewey-sort | 3530.15 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T21:36:42Z |
| institution | BVB |
| isbn | 0387989587 |
| language | English |
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| physical | XV, 659 S. Ill., graph. Darst. |
| publishDate | 2000 |
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| series2 | Undergraduate texts in contemporary physics |
| spelling | Hassani, Sadri Verfasser (DE-588)114976838X aut Mathematical methods for students of physics and related fields Sadri Hassani New York [u.a.] Springer 2000 XV, 659 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in contemporary physics Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017424736&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hassani, Sadri Mathematical methods for students of physics and related fields Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4037952-8 |
| title | Mathematical methods for students of physics and related fields |
| title_auth | Mathematical methods for students of physics and related fields |
| title_exact_search | Mathematical methods for students of physics and related fields |
| title_full | Mathematical methods for students of physics and related fields Sadri Hassani |
| title_fullStr | Mathematical methods for students of physics and related fields Sadri Hassani |
| title_full_unstemmed | Mathematical methods for students of physics and related fields Sadri Hassani |
| title_short | Mathematical methods for students of physics and related fields |
| title_sort | mathematical methods for students of physics and related fields |
| topic | Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Mathematische Physik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017424736&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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