Lectures on fourier series:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford u.a.
Oxford Univ. Pr.
1988
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 120 S. |
| ISBN: | 0198561989 0198561997 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
INTRODUCTION jx
1 ON APPROXIMATIONS 1
1.1 Introduction 1
1.2 Approximation to a cosine function 1
1.3 Periodic functions 6
1.4 The claim 6
1.5 A few examples showing the build up 8
2 FINDING THE FOURIER SERIES 15
2.1 Derivation of the coefficients 15
2.2 Symmetry considerations 19
2.3 A few worked examples 22
2.4 How to sum up a series: a spin off 27
2.5 Differentiation and integration 29
2.6 The coefficients for arbitrary period 31
2.7 The Fourier series as optimum approximation 37
2.8 Full range, half range, quarter range, etc. 38
2.9 Exponential form 49
2.10 Parseval s theorem 53
2.11 Filters 54
Exercises 59
3 FORCED SOLUTIONS OF ORDINARY
DIFFERENTIAL EQUATIONS WITH PERIODIC
EXCITATION 62
3.1 Introduction 62
3.2 First order differential equations 63
3.3 Second order differential equations 64
3.4 Higher order differential equations 65
3.5 Examples from electrical engineering 67
3.6 Solution of a non linear differential equation 74
Exercises 76
4 PARTIAL DIFFERENTIAL EQUATIONS 79
4.1 Introduction 79
4.2 The vibrating string 80
viii Contents
4.3 Heat conduction 97
4.4 Transmission lines 104
Exercises 111
APPENDIX: The Gibbs phenomenon 114
INDEX 119
|
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| author | Solymar, Laszlo 1930- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515/.243 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| genre_facet | Einführung |
| id | DE-604.BV001775838 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-20T07:05:36Z |
| institution | BVB |
| isbn | 0198561989 0198561997 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001196803 |
| oclc_num | 24143485 |
| open_access_boolean | |
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| owner_facet | DE-12 DE-862 DE-BY-FWS DE-355 DE-BY-UBR DE-706 DE-83 |
| physical | X, 120 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Oxford Univ. Pr. |
| record_format | marc |
| spellingShingle | Solymar, Laszlo 1930- Lectures on fourier series Fourier, Séries de Fourier, Séries de ram Fourier series Fourier-Reihe (DE-588)4155109-6 gnd |
| subject_GND | (DE-588)4155109-6 (DE-588)4151278-9 |
| title | Lectures on fourier series |
| title_auth | Lectures on fourier series |
| title_exact_search | Lectures on fourier series |
| title_full | Lectures on fourier series L. Solymar |
| title_fullStr | Lectures on fourier series L. Solymar |
| title_full_unstemmed | Lectures on fourier series L. Solymar |
| title_short | Lectures on fourier series |
| title_sort | lectures on fourier series |
| topic | Fourier, Séries de Fourier, Séries de ram Fourier series Fourier-Reihe (DE-588)4155109-6 gnd |
| topic_facet | Fourier, Séries de Fourier series Fourier-Reihe Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001196803&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT solymarlaszlo lecturesonfourierseries |
Indexes
THWS Schweinfurt Zentralbibliothek Lesesaal
| Call Number: |
2000 SK 450 S692 |
|---|---|
| Copy 1 | ausleihbar Available Place a Hold |