Fourier Analysis

Front Cover
Cambridge University Press, 1988 - 591 pages
Fourier analysis is a subject that was born in physics but grew up in mathematics. Now it is part of the standard repertoire for mathematicians, physicists and engineers. In most books, this diversity of interest is often ignored, but here Dr Körner has provided a shop-window for some of the ideas, techniques and elegant results of Fourier analysis, and for their applications. These range from number theory, numerical analysis, control theory and statistics, to earth science, astronomy, and electrical engineering. Each application is placed in perspective by a short essay. The prerequisites are few (the reader with knowledge of second or third year undergraduate mathematics should have no difficulty following the text), and the style is lively and entertaining. In short, this stimulating account will be welcomed by all who like to read about more than the bare bones of a subject. For them this will be a meaty guide to Fourier analysis.
 

Contents

III
3
IV
6
V
11
VI
15
VII
19
VIII
21
IX
24
X
28
LXX
295
LXXI
300
LXXII
308
LXXIII
315
LXXIV
324
LXXV
332
LXXVI
335
LXXVII
338

XI
32
XII
35
XIII
38
XIV
42
XV
46
XVI
56
XVII
59
XIX
62
XX
67
XXI
74
XXII
77
XXIII
79
XXIV
83
XXV
88
XXVI
93
XXVII
99
XXVIII
104
XXIX
113
XXX
116
XXXI
121
XXXII
124
XXXIV
131
XXXV
134
XXXVII
143
XXXVIII
145
XXXIX
150
XL
155
XLI
159
XLII
166
XLIII
170
XLIV
175
XLV
179
XLVI
185
XLVII
191
XLVIII
197
XLIX
201
L
207
LII
212
LIII
219
LIV
221
LV
226
LVII
230
LIX
240
LX
245
LXI
253
LXII
259
LXIII
265
LXIV
270
LXV
274
LXVI
282
LXVII
285
LXVIII
289
LXIX
292
LXXVIII
344
LXXIX
347
LXXX
349
LXXXI
357
LXXXII
363
LXXXIII
365
LXXXIV
368
LXXXV
372
LXXXVI
379
LXXXVII
386
LXXXVIII
395
LXXXIX
403
XC
407
XCI
413
XCII
418
XCIII
425
XCIV
429
XCV
434
XCVI
436
XCVII
443
XCVIII
451
XCIX
455
C
461
CI
467
CII
471
CIII
473
CIV
475
CV
478
CVI
481
CVII
484
CVIII
488
CIX
491
CX
497
CXI
500
CXII
503
CXIII
506
CXIV
509
CXV
513
CXVI
519
CXVIII
525
CXIX
532
CXX
539
CXXI
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CXXII
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CXXIII
558
CXXIV
563
CXXV
565
CXXVI
575
CXXVII
577
CXXVIII
580
CXXIX
581
CXXXI
585
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