A course of modern analysis: an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
1996
|
| Ausgabe: | 4. ed., repr. |
| Schriftenreihe: | Cambridge mathematical library
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | 608 S. |
| ISBN: | 0521588073 |
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Datensatz im Suchindex
| _version_ | 1804142003853721600 |
|---|---|
| adam_text | A COURSE OF MODERN ANALYSIS AN INTRODUCTION TO THE GENERAL THEORY OF
INFINITE PROCESSES AND OF ANALYTIC FUNCTIONS; WITH AN ACCOUNT OF THE
PRINCIPAL TRANSCENDENTAL FUNCTIONS BY E. T. WHITTAKER AND G. N. WATSON
FOURTH EDITION REPRINTED CAMBRIDGE UNIVERSITY PRESS CONTENTS PART I. THE
PROCESSES OF ANALYSIS CHAPTER PAGE I COMPLEX N U M B E R S . . . . . . .
. 3 II THE THEORY OF CONVERGENCE . . . . . . 1 1 III CONTINUOUS
FUNCTIONS AND UNIFORM CONVERGENCE . . . 4 1 I V THE THEORY O F RIEMANN
INTEGRATION . . . . . 6 1 V THE FUNDAMENTAL PROPERTIES OF ANALYTIC
FUNCTIONS; TAYLOR S, LAURENT S, AND LIOUVILLE S THEOREMS . . . . . . 82
VI THE THEORY OF RESIDUES; APPLICATION TO THE EVALUATION OF DEFINITE
INTEGRALS 111 V I I THE EXPANSION O F FUNCTIONS I N INFINITE SERIES . .
. . 125 V I I I ASYMPTOTIC EXPANSIONS AND SUMRNABLE SERIES . . . . 150
IX FOURIER SERIES AND TRIGONOMETRICAL SERIES . . . - . 160 X LINEAR
DIFFERENTIAL EQUATIONS . . . . . . 194 XI INTEGRAL EQUATIONS . . . . . .
. 2 1 1 PART II. THE TRANSCENDENTAL FUNCTIONS X I I THE G A M M A
FUNCTION . . . . . . . 235 XIII THE ZETA FUNCTION OF RIEMANN . . . . . .
265 X I V THE HYPERGEOMETRIC FUNCTION . . . . . . 281 . X V LEGENDRE
FUNCTIONS . . . . . . . 302 . X V I THE CONFLUENT HYPERGEOMETRIC
FUNCTION . . . . . 337 [VII BESSEL FUNCTIONS . . . . . . . . 355 THE
EQUATIONS O F MATHEMATICAL PHYSICS . . . . . 386 T L X MATHIEU
FUNCTIONS . . . . . . 404 ELLIPTIC FUNCTIONS. GENERAL THEOREMS AND THE
WEIERSTRASSIAN FUNCTIONS 429 THE THETA FUNCTIONS . . . . . . . 462 TIL
THE JACOBIAN ELLIPTIC FUNCTIONS . . . . . . 491 ELLIPSOIDAL HARMONICS
AND LAME S EQUATION . . . . 536 A P P E N D I X 579 L I S T O F A U T H
O R S Q U O T E D 591 G E N E R A L I N D E X 595 THE DECIMAL SYSTEM OF
PARAGRAPHING, INTRODUCED BY PEANO, IS ADOPTED IN THIS THE INTEGRAL PART
OF THE DECIMAL REPRESENTS THE NUMBER OF THE CHAPTER AND THE PARTS ARE
ARRANGED IN EACH CHAPTER IN ORDER OF MAGNITUDE. THUS, E.G., ON 7, 188, §
9-632 PRECEDES § 97 BECAUSE 9 632 97.]
|
| any_adam_object | 1 |
| author | Whittaker, Edmund T. 1873-1956 Watson, G. N. 1886-1965 |
| author_GND | (DE-588)117334588 (DE-588)117726761 |
| author_facet | Whittaker, Edmund T. 1873-1956 Watson, G. N. 1886-1965 |
| author_role | aut aut |
| author_sort | Whittaker, Edmund T. 1873-1956 |
| author_variant | e t w et etw g n w gn gnw |
| building | Verbundindex |
| bvnumber | BV024974420 |
| classification_rvk | SK 400 |
| ctrlnum | (OCoLC)615490342 (DE-599)BVBBV024974420 |
| discipline | Mathematik |
| edition | 4. ed., repr. |
| format | Book |
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| genre_facet | Einführung |
| id | DE-604.BV024974420 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:24:52Z |
| institution | BVB |
| isbn | 0521588073 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019641972 |
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| owner_facet | DE-11 DE-19 DE-BY-UBM |
| physical | 608 S. |
| publishDate | 1996 |
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| publishDateSort | 1996 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series2 | Cambridge mathematical library |
| spelling | Whittaker, Edmund T. 1873-1956 Verfasser (DE-588)117334588 aut A course of modern analysis an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions by E. T. Whittaker and G. N. Watson 4. ed., repr. Cambridge Cambridge Univ. Press 1996 608 S. txt rdacontent n rdamedia nc rdacarrier Cambridge mathematical library Hier auch später erschienene, unveränderte Nachdrucke Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Integralrechnung (DE-588)4027232-1 gnd rswk-swf Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf Differentialrechnung (DE-588)4012252-9 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Analphabetismus (DE-588)4001863-5 gnd rswk-swf Transzendente Funktion (DE-588)4312817-8 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Analysis (DE-588)4001865-9 s 2\p DE-604 Funktionentheorie (DE-588)4018935-1 s 3\p DE-604 Transzendente Funktion (DE-588)4312817-8 s 4\p DE-604 Analphabetismus (DE-588)4001863-5 s 5\p DE-604 Gewöhnliche Differentialgleichung (DE-588)4020929-5 s 6\p DE-604 Differentialrechnung (DE-588)4012252-9 s 7\p DE-604 Integralrechnung (DE-588)4027232-1 s 8\p DE-604 Orthogonale Polynome (DE-588)4172863-4 s 9\p DE-604 Watson, G. N. 1886-1965 Verfasser (DE-588)117726761 aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019641972&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 7\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 8\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 9\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Whittaker, Edmund T. 1873-1956 Watson, G. N. 1886-1965 A course of modern analysis an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions Funktionentheorie (DE-588)4018935-1 gnd Analysis (DE-588)4001865-9 gnd Integralrechnung (DE-588)4027232-1 gnd Orthogonale Polynome (DE-588)4172863-4 gnd Differentialrechnung (DE-588)4012252-9 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Analphabetismus (DE-588)4001863-5 gnd Transzendente Funktion (DE-588)4312817-8 gnd |
| subject_GND | (DE-588)4018935-1 (DE-588)4001865-9 (DE-588)4027232-1 (DE-588)4172863-4 (DE-588)4012252-9 (DE-588)4020929-5 (DE-588)4001863-5 (DE-588)4312817-8 (DE-588)4151278-9 |
| title | A course of modern analysis an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions |
| title_auth | A course of modern analysis an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions |
| title_exact_search | A course of modern analysis an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions |
| title_full | A course of modern analysis an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions by E. T. Whittaker and G. N. Watson |
| title_fullStr | A course of modern analysis an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions by E. T. Whittaker and G. N. Watson |
| title_full_unstemmed | A course of modern analysis an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions by E. T. Whittaker and G. N. Watson |
| title_short | A course of modern analysis |
| title_sort | a course of modern analysis an introduction to the general theory of infinite processes and of analytic functions with an account of the principal transcendental functions |
| title_sub | an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions |
| topic | Funktionentheorie (DE-588)4018935-1 gnd Analysis (DE-588)4001865-9 gnd Integralrechnung (DE-588)4027232-1 gnd Orthogonale Polynome (DE-588)4172863-4 gnd Differentialrechnung (DE-588)4012252-9 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Analphabetismus (DE-588)4001863-5 gnd Transzendente Funktion (DE-588)4312817-8 gnd |
| topic_facet | Funktionentheorie Analysis Integralrechnung Orthogonale Polynome Differentialrechnung Gewöhnliche Differentialgleichung Analphabetismus Transzendente Funktion Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019641972&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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