A student's guide to Fourier transforms: with applications in physics and engineering
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2006
|
| Edition: | 2. ed., [Nachdr.], transferred to digital print. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Item Description: | Literaturerz. S. 131 - 132 |
| Physical Description: | IX, 135 S. Ill., graph. Darst. |
| ISBN: | 052180826X 9780521808262 9780521004282 0521004284 |
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Record in the Search Index
| _version_ | 1804138609612161024 |
|---|---|
| adam_text | IMAGE 1
PREFACE TO THE FIRST EDITION
P. VII
PREFACE TO THE SECOND EDITION
P. IX
PHYSICS AND FOURIER TRANSFORMS
P. 1
THE QUALITATIVE APPROACH
P. 1
FOURIER SERIES
P. 2
THE AMPLITUDES OF THE HARMONICS
P. 4
FOURIER TRANSFORMS
P. 8
CONJUGATE VARIABLES
P. 10
GRAPHICAL REPRESENTATIONS
P. 11
USEFUL FUNCTIONS
P. 11
WORKED EXAMPLES
P. 18
USEFUL PROPERTIES AND THEOREMS
P. 20
THE DIRICHLET CONDITIONS
P. 20
THEOREMS
P. 21
CONVOLUTIONS AND THE CONVOLUTION THEOREM
P. 23
THE ALGEBRA OF CONVOLUTIONS
P. 29
OTHER THEOREMS
P. 30
ALIASING
P. 33
WORKED EXAMPLES
P. 35
APPLICATIONS 1: FRAUNHOFER DIFFRACTION
P. 38
FRAUNHOFER DIFFRACTION
P. 38
EXAMPLES
P. 42
POLAR DIAGRAMS
P. 52
PHASE AND COHERENCE
P. 53
EXERCISES
P. 57
APPLICATIONS 2: SIGNAL ANALYSIS AND COMMUNICATION THEORY
P. 58
COMMUNICATION CHANNELS
P. 58
NOISE
P. 60
FILTERS
P. 61
THE MATCHED FILTER THEOREM
P. 62
MODULATIONS
P. 63
MULTIPLEX TRANSMISSION ALONG A CHANNEL
P. 69
THE PASSAGE OF SOME SIGNALS THROUGH SIMPLE FILTERS
P. 69
THE GIBBS PHENOMENON
P. 70
APPLICATIONS 3: SPECTROSCOPY AND SPECTRAL LINE SHAPES
P. 76
INTERFERENCE SPECTROMETRY
P. 76
THE SHAPES OF SPECTRUM LINES
P. 81
TWO-DIMENSIONAL FOURIER TRANSFORMS
P. 86
CARTESIAN COORDINATES
P. 86
POLAR COORDINATES
P. 87
THEOREMS
P. 88
IMAGE 2
EXAMPLES OF TWO-DIMENSIONAL FOURIER TRANSFORMS WITH CIRCULAR SYMMETRY P.
89
APPLICATIONS
P. 90
SOLUTIONS WITHOUT CIRCULAR SYMMETRY
P. 92
MULTI-DIMENSIONAL FOURIER TRANSFORMS
P. 94
THE DIRAC WALL
P. 94
COMPUTERIZED AXIAL TOMOGRAPHY
P. 97
A SPIKE OR NAIL
P. 101
THE DIRAC FENCE
P. 103
THE BED OF NAILS
P. 104
PARALLEL PLANE DELTA-FUNCTIONS
P. 106
POINT ARRAYS
P. 106
LATTICES
P. 107
THE FORMAL COMPLEX FOURIER TRANSFORM
P. 109
DISCRETE AND DIGITAL FOURIER TRANSFORMS
P. 116
HISTORY
P. 116
THE DISCRETE FOURIER TRANSFORM
P. 117
THE MATRIX FORM OF THE DFT
P. 118
THE BASIC FFT ROUTINE
P. 122
APPENDIX
P. 126
BIBLIOGRAPHY
P. 131
TABLE OF CONTENTS PROVIDED BY BLACKWELL S BOOK SERVICES AND R.R. BOWKER.
USED WITH PERMISSION.
|
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| building | Verbundindex |
| bvnumber | BV035306911 |
| classification_rvk | SK 450 |
| ctrlnum | (OCoLC)635052381 (DE-599)GBV379803186 |
| discipline | Mathematik |
| edition | 2. ed., [Nachdr.], transferred to digital print. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T21:30:55Z |
| institution | BVB |
| isbn | 052180826X 9780521808262 9780521004282 0521004284 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017111694 |
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| physical | IX, 135 S. Ill., graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | James, John F. Verfasser (DE-588)1012647161 aut A student's guide to Fourier transforms with applications in physics and engineering J. F. James 2. ed., [Nachdr.], transferred to digital print. Cambridge [u.a.] Cambridge Univ. Press 2006 IX, 135 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturerz. S. 131 - 132 Fourier transformations Mathematical physics Engineering mathematics Mathematische Physik Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Fourier-Transformation (DE-588)4018014-1 gnd rswk-swf Ingenieurwissenschaften (DE-588)4137304-2 gnd rswk-swf Fourier-Transformation (DE-588)4018014-1 s Ingenieurwissenschaften (DE-588)4137304-2 s 1\p DE-604 Mathematische Physik (DE-588)4037952-8 s 2\p DE-604 DE-601 pdf/application http://www.gbv.de/dms/bowker/toc/9780521808262.pdf Inhaltsverzeichnis GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017111694&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 |
| spellingShingle | James, John F. A student's guide to Fourier transforms with applications in physics and engineering Fourier transformations Mathematical physics Engineering mathematics Mathematische Physik Mathematische Physik (DE-588)4037952-8 gnd Fourier-Transformation (DE-588)4018014-1 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4018014-1 (DE-588)4137304-2 |
| title | A student's guide to Fourier transforms with applications in physics and engineering |
| title_auth | A student's guide to Fourier transforms with applications in physics and engineering |
| title_exact_search | A student's guide to Fourier transforms with applications in physics and engineering |
| title_full | A student's guide to Fourier transforms with applications in physics and engineering J. F. James |
| title_fullStr | A student's guide to Fourier transforms with applications in physics and engineering J. F. James |
| title_full_unstemmed | A student's guide to Fourier transforms with applications in physics and engineering J. F. James |
| title_short | A student's guide to Fourier transforms |
| title_sort | a student s guide to fourier transforms with applications in physics and engineering |
| title_sub | with applications in physics and engineering |
| topic | Fourier transformations Mathematical physics Engineering mathematics Mathematische Physik Mathematische Physik (DE-588)4037952-8 gnd Fourier-Transformation (DE-588)4018014-1 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd |
| topic_facet | Fourier transformations Mathematical physics Engineering mathematics Mathematische Physik Fourier-Transformation Ingenieurwissenschaften |
| url | http://www.gbv.de/dms/bowker/toc/9780521808262.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017111694&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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