Holdings: Fourier series :: THWS Bibkatalog

Fourier series:

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Bibliographic Details
Main Author:	Rogosinski, Werner W. (Author)
Format:	Book
Language:	English German
Published:	New York Chelsea Publ. Co. 1959
Edition:	2. ed.
Subjects:	Fourier series Harmonische Analyse Fourier-Reihe
Online Access:	Inhaltsverzeichnis
Item Description:	Einheitssacht.: Fouriersche Reihen <engl.>
Physical Description:	176 S.

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MARC


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Record in the Search Index

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adam_text	TABLE OF CONTENTS Translators preface iii I. Introduction to the Problem § 1. The vibrating string (statement of the problem) 1 § 2. Trigonometric series 4 § 3. Fourier series 8 § 4. The closure theorem 11 § 5. Some examples 15 II. Representation Theory § 1. Theorems on Fourier coefficients 21 § 2. The integration of Fourier series 26 § 3. A representation theorem 30 § 4. Examples 33 § 5. The vibrating string (solution) 39 § 6. The Weierstrass approximation theorem 46 III. The Completeness Theorem § 1. A minimal property of partial sums of Fourier series 50 § 2. The completeness theorem 53 § 3. Parseval s formula 58 § 4. Application to the Isoperimetric problem. 61 IV. Convergence Theory § 1. Dirichlet s formula 64 § 2. Riemann s theorem 66 v vi Table of Contents § 3. Dini s criterion 68 § 4. The Dirichlet Jordan criterion 72 §5. The Fourier series at ordinary points. ... 75 § 6. The conjugate series 82 V. Some Applications § 1. The Fourier integral theorem 88 § 2. Summation formulas 95 § 3. Stirling s formula 99 VI. Divergent Fourier Series § 1. Mean value methods 103 § 2. Fejer means Ill § 3. The Abel Poisson method 118 § 4. The Lebesgue and Riemann methods.. . .122 § 5. Another method of summation 128 § 6. The Gibbs phenomenon 135 VII. Uniqueness Theorems § 1. A theorem of Schwarz in the differential calculus 141 § 2. The Heine Cantor theorem 144 § 3. A theorem of Arzela and Lebesgue in the integral calculus 149 § 4. The DuBois Reymond theorem 154 Appendix 160 Bibliography 171 Index 173
adam_txt	TABLE OF CONTENTS Translators' preface iii I. Introduction to the Problem § 1. The vibrating string (statement of the problem) 1 § 2. Trigonometric series 4 § 3. Fourier series 8 § 4. The closure theorem 11 § 5. Some examples 15 II. Representation Theory § 1. Theorems on Fourier coefficients 21 § 2. The integration of Fourier series 26 § 3. A representation theorem 30 § 4. Examples 33 § 5. The vibrating string (solution) 39 § 6. The Weierstrass approximation theorem 46 III. The Completeness Theorem § 1. A minimal property of partial sums of Fourier series 50 § 2. The completeness theorem 53 § 3. Parseval's formula 58 § 4. Application to the Isoperimetric problem. 61 IV. Convergence Theory § 1. Dirichlet's formula 64 § 2. Riemann's theorem 66 v vi Table of Contents § 3. Dini's criterion 68 § 4. The Dirichlet Jordan criterion 72 §5. The Fourier series at ordinary points. . 75 § 6. The conjugate series 82 V. Some Applications § 1. The Fourier integral theorem 88 § 2. Summation formulas 95 § 3. Stirling's formula 99 VI. Divergent Fourier Series § 1. Mean value methods 103 § 2. Fejer means Ill § 3. The Abel Poisson method 118 § 4. The Lebesgue and Riemann methods. . .122 § 5. Another method of summation 128 § 6. The Gibbs phenomenon 135 VII. Uniqueness Theorems § 1. A theorem of Schwarz in the differential calculus 141 § 2. The Heine Cantor theorem 144 § 3. A theorem of Arzela and Lebesgue in the integral calculus 149 § 4. The DuBois Reymond theorem 154 Appendix 160 Bibliography 171 Index 173
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ctrlnum	(OCoLC)546049 (DE-599)BVBBV021916943
dewey-full	517.35
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discipline	Mathematik
discipline_str_mv	Mathematik
edition	2. ed.
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id	DE-604.BV021916943
illustrated	Not Illustrated
index_date	2024-07-02T16:05:33Z
indexdate	2024-07-09T20:47:21Z
institution	BVB
language	English German
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oclc_num	546049
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owner	DE-706
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physical	176 S.
publishDate	1959
publishDateSearch	1959
publishDateSort	1959
publisher	Chelsea Publ. Co.
record_format	marc
spelling	Rogosinski, Werner W. Verfasser aut Fourier series by Werner Rogosinski 2. ed. New York Chelsea Publ. Co. 1959 176 S. txt rdacontent n rdamedia nc rdacarrier Einheitssacht.: Fouriersche Reihen <engl.> Fourier series Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Fourier-Reihe (DE-588)4155109-6 gnd rswk-swf Fourier-Reihe (DE-588)4155109-6 s Harmonische Analyse (DE-588)4023453-8 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015132114&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Rogosinski, Werner W. Fourier series Fourier series Harmonische Analyse (DE-588)4023453-8 gnd Fourier-Reihe (DE-588)4155109-6 gnd
subject_GND	(DE-588)4023453-8 (DE-588)4155109-6
title	Fourier series
title_auth	Fourier series
title_exact_search	Fourier series
title_exact_search_txtP	Fourier series
title_full	Fourier series by Werner Rogosinski
title_fullStr	Fourier series by Werner Rogosinski
title_full_unstemmed	Fourier series by Werner Rogosinski
title_short	Fourier series
title_sort	fourier series
topic	Fourier series Harmonische Analyse (DE-588)4023453-8 gnd Fourier-Reihe (DE-588)4155109-6 gnd
topic_facet	Fourier series Harmonische Analyse Fourier-Reihe
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015132114&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT rogosinskiwernerw fourierseries

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