Holdings: Introduction to Fourier analysis and generalised functions

Introduction to Fourier analysis and generalised functions:

This monograph on generalised functions, Fourier integrals and Fourier series is intended for readers who, while accepting that a theory where each point is proved is better than one based on conjecture, nevertheless seek a treatment as elementary and free from complications as possible. Little deta...

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Bibliographic Details
Main Author:	Lighthill, M. J. (Author)
Format:	Electronic eBook
Language:	English
Published:	Cambridge Cambridge University Press 1958
Series:	Cambridge monographs on mechanics
Subjects:	Fourier series Functions Fourier-Reihe Theorie Harmonische Analyse Distribution > Funktionalanalysis
Online Access:	BSB01 FHN01 Volltext Inhaltsverzeichnis
Summary:	This monograph on generalised functions, Fourier integrals and Fourier series is intended for readers who, while accepting that a theory where each point is proved is better than one based on conjecture, nevertheless seek a treatment as elementary and free from complications as possible. Little detailed knowledge of particular mathematical techniques is required; the book is suitable for advanced university students, and can be used as the basis of a short undergraduate lecture course. A valuable and original feature of the book is the use of generalised-function theory to derive a simple, widely applicable method of obtaining asymptotic expressions for Fourier transforms and Fourier coefficients
Item Description:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Physical Description:	1 online resource (viii, 79 pages)
ISBN:	9781139171427
DOI:	10.1017/CBO9781139171427

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adam_text	SIG.ENVERZEICHNIS .............................................................................................. VII EINLEITUNG ........................................................................................................ YY 1 PAEDAGOGIK UND BIWUNG ....................................................................... 9 1.1 DIE GLEICHHEIT DER INTELLIGENZ UND DER UNWISSENDE LEHRMEISTER (LE MAITRE IGNORANT) ............................................................................. 11 1.2 DIE EMANZIPATION: IHRE VERAECHTER UND IHRE BEFUERWORTER ........ 14 1.3 DIE AUSEINANDERSETZUNG MIT DER PHILOSOPHIE UND DEN SOZIALWISSENSCHAFTEN ................................................................ 21 2 GESCHICHTE, YY.............................................................................................25 2.1 AUSGANGSPUNKT: GEGEN ALTHUSSER UND LES REVOLTES LOGIQUES ..... 25 2.2 DIE NACHT DER PROLETARIER-DISKURSE DER ARBEITEREMANZIPATION .... 34 2.3 DIE NAMEN DER GESCHICHTE ....................................................................... 39 3 POLITIK/POLITISCHES ................................................................................. 43 3.1 YY AESTHETIK DER POLITIK-KONSTITUTIONSWEISEN VON WELT ........ 45 3.2 POLIZEI UND POLITIK - MEHR AIS EINE STRIKTE ENTGEGENSETZUNG? ..... 47 3.3 GLEICHHEIT/UNGLEICHHEIT .......................................................................... 49 3.4 DER ANTEYY DER ANTEILSLOSEN (LA PART DES SANS-PART) ......... 51 3.5 DAS UNVEMEHMEN: VON DER (POST-)DEMOKRATIE ZURZUYYKUNFTIGEN DEMOKRATIE? ............................................................. 53 4 AESTHETIK ..................................................................................................... 61 4.1 DIE REGIME .............................................................................................. 62 4.2 FRIEDRICH SCHILLER UND DIE J UNO L UDOVISI ................................................... 70 4.3 MODERNE UND POSTMODERNE ................................................................... 77 5 ETHIK: LYOTARD, AGAMBEN UND DAS ERH^ 85 6 EINZELANALYSEN ........................................................................................ 93 6.1 EKPHRASIS UND INTERMEDIALITAT ................................................................ 95 6.2 KINO UND FILM ............................................................................................ 05 YY 6.3 PHILOSOPHISCH-LITERARISCHE BEGEGNUNGEN ............................................ 115 7 WER - UND W AS-YYST JACQUES RANCIERE? RESUEMEE UND AUSBLICK .......................................................................... 141 7. YY ETHIK UND AESTHETIK DER GLEICHHEIT .............................................................. YY 4 YY 7.2 GLEICHHEIT, DISENSUSUND GEMEINSCHAFT ....................................................148 7.3 EIN ANDERER LIBERALISMUS? .................................................................... 150 8 APPENDIX YY: INTERVIEW THOMAS CLAVIEZ/DIETMAR WETZE. MIT JACQUES RANCIERE .............................................................................. 153 8.1 METHOD ..................................................................................................... 153 8.2 AESTHETIK .........................................................................................................155 8.3 KONSENS, DISSENS UND ETHIK ........................................................................ 58 YY 8.4 MACHT UND WISSEN/DIE ROLLE DER WISSENSCHAFT ............ 162 8.5 DIE ROLLE DER INSTITUTIONEN UND DIE FRAGE DES SOZIALEN ........ 166 8.6 DER STATUS DES INTELLEKTUELLEN/GESELLSCHAFTLICHE VERAENDERUNGEN YY 68 9 APPENDIX II: UEBERSICHT ZU THEMEN, AUTOREN UND KUENSTLERN IN DEN WICHTIGSTEN WERKEN JACQUES RANCIERES ...................................... YY 7 YY YYYY LITERATUR .........................................................................................................203 YY 0. YY PRIMAERLITERATUR ...............................................................................................203 10.2 SEKUNDAERLITERATUR SPEZIFISCH ZU RANCIERE ................................................... 206 10.3 SONSTIGE SEKUNDAERLITERATUR ...........................................................................210 11 NAMENSREGISTER ............................................................................................215 12 SACHREGISTER 219
any_adam_object	1
author	Lighthill, M. J.
author_facet	Lighthill, M. J.
author_role	aut
author_sort	Lighthill, M. J.
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contents	1. Introduction -- 2. The theory of generalised functions and their fourier transforms -- 3. Definitions, properties and fourier transforms of particular generalised functions -- 4. The asymptotic estimation of fourier transforms -- 5. Fourier series
ctrlnum	(ZDB-20-CBO)CR9781139171427 (OCoLC)992846676 (DE-599)BVBBV043940627
dewey-full	515.2433
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dewey-search	515.2433
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dewey-tens	510 - Mathematics
discipline	Psychologie Mathematik Wirtschaftswissenschaften
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format	Electronic eBook
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isbn	9781139171427
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series2	Cambridge monographs on mechanics
spelling	Lighthill, M. J. Verfasser aut Introduction to Fourier analysis and generalised functions M.J. Lighthill An Introduction to Fourier Analysis & Generalised Functions Cambridge Cambridge University Press 1958 1 online resource (viii, 79 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge monographs on mechanics Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1. Introduction -- 2. The theory of generalised functions and their fourier transforms -- 3. Definitions, properties and fourier transforms of particular generalised functions -- 4. The asymptotic estimation of fourier transforms -- 5. Fourier series This monograph on generalised functions, Fourier integrals and Fourier series is intended for readers who, while accepting that a theory where each point is proved is better than one based on conjecture, nevertheless seek a treatment as elementary and free from complications as possible. Little detailed knowledge of particular mathematical techniques is required; the book is suitable for advanced university students, and can be used as the basis of a short undergraduate lecture course. A valuable and original feature of the book is the use of generalised-function theory to derive a simple, widely applicable method of obtaining asymptotic expressions for Fourier transforms and Fourier coefficients Fourier series Functions Fourier-Reihe (DE-588)4155109-6 gnd rswk-swf Theorie (DE-588)4059787-8 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Distribution Funktionalanalysis (DE-588)4070505-5 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 s Theorie (DE-588)4059787-8 s 1\p DE-604 Distribution Funktionalanalysis (DE-588)4070505-5 s 2\p DE-604 Fourier-Reihe (DE-588)4155109-6 s 3\p DE-604 Erscheint auch als Druckausgabe 978-0-521-05556-7 Erscheint auch als Druckausgabe 978-0-521-09128-2 https://doi.org/10.1017/CBO9781139171427 Verlag URL des Erstveröffentlichers Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029349597&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
spellingShingle	Lighthill, M. J. Introduction to Fourier analysis and generalised functions 1. Introduction -- 2. The theory of generalised functions and their fourier transforms -- 3. Definitions, properties and fourier transforms of particular generalised functions -- 4. The asymptotic estimation of fourier transforms -- 5. Fourier series Fourier series Functions Fourier-Reihe (DE-588)4155109-6 gnd Theorie (DE-588)4059787-8 gnd Harmonische Analyse (DE-588)4023453-8 gnd Distribution Funktionalanalysis (DE-588)4070505-5 gnd
subject_GND	(DE-588)4155109-6 (DE-588)4059787-8 (DE-588)4023453-8 (DE-588)4070505-5
title	Introduction to Fourier analysis and generalised functions
title_alt	An Introduction to Fourier Analysis & Generalised Functions
title_auth	Introduction to Fourier analysis and generalised functions
title_exact_search	Introduction to Fourier analysis and generalised functions
title_full	Introduction to Fourier analysis and generalised functions M.J. Lighthill
title_fullStr	Introduction to Fourier analysis and generalised functions M.J. Lighthill
title_full_unstemmed	Introduction to Fourier analysis and generalised functions M.J. Lighthill
title_short	Introduction to Fourier analysis and generalised functions
title_sort	introduction to fourier analysis and generalised functions
topic	Fourier series Functions Fourier-Reihe (DE-588)4155109-6 gnd Theorie (DE-588)4059787-8 gnd Harmonische Analyse (DE-588)4023453-8 gnd Distribution Funktionalanalysis (DE-588)4070505-5 gnd
topic_facet	Fourier series Functions Fourier-Reihe Theorie Harmonische Analyse Distribution Funktionalanalysis
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work_keys_str_mv	AT lighthillmj introductiontofourieranalysisandgeneralisedfunctions AT lighthillmj anintroductiontofourieranalysisgeneralisedfunctions

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