Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing and Self-similarity

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Springer Science & Business Media, 1997 - Mathematics - 362 pages
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Number Theory in Science and Communication is an introduction for non-mathematicians. The book stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primitive elements. Their applications to problems in the real world is one of the main themes of the book. This third edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with elliptic curves, quantum factoring, Golomb rulers and "baroque" integers.
  

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User Review  - Knud - LibraryThing

A very accessible book on number theory and its applications. Anyone with a reasonable amount of university/college math will find it very readable. Schroeder never spends too much time on any one ... Read full review

Contents

I
1
II
4
III
6
IV
8
V
10
VI
11
VII
16
IX
17
CXVIII
178
CXIX
179
CXX
181
CXXII
183
CXXIV
184
CXXV
186
CXXVI
187
CXXVII
190

X
18
XII
20
XIII
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XIV
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XVI
25
XVIII
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XIX
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XX
28
XXI
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XXII
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XXIII
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XXIV
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XXV
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XXVI
38
XXVIII
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XXIX
44
XXX
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XXXI
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XXXII
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XXXIII
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XXXV
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XXXVI
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XXXVII
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XXXIX
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XL
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XLII
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XLIII
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XLIV
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XLV
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XLVI
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XLVII
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XLVIII
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XLIX
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L
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LI
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LII
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LIII
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LIV
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LV
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LVII
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LVIII
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LIX
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LXI
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LXII
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LXIII
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LXIV
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LXV
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LXVII
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LXVIII
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LXIX
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LXXI
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LXXIII
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LXXIV
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LXXV
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LXXVI
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LXXVII
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LXXVIII
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LXXIX
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LXXX
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LXXXI
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LXXXII
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LXXXIII
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LXXXVI
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LXXXVIII
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XC
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XCI
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XCIII
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XCV
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XCVI
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XCVII
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XCVIII
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CI
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CIII
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CIV
162
CVI
163
CVII
165
CVIII
166
CX
168
CXI
170
CXII
171
CXIII
173
CXV
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CXVI
177
CXXIX
191
CXXX
192
CXXXI
194
CXXXII
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CXXXIII
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CXXXIV
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CXXXV
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CXXXVII
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CXXXVIII
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CXL
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CXLI
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CXLII
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CXLIII
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CXLIV
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CXLVI
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CXLVIII
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CXLIX
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CL
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CLI
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CLIII
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CLV
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CLVI
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CLVIII
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CLIX
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CLX
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CLXI
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CLXIII
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CLXIV
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CLXVI
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CLXVII
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CLXVIII
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CLXIX
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CLXX
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CLXXI
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CLXXIII
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CLXXV
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CLXXVI
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CLXXVIII
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CLXXIX
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CLXXX
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CLXXXI
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CLXXXIV
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CLXXXV
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CLXXXVII
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CLXXXVIII
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CLXXXIX
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CXC
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CXCI
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CXCIII
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CXCIV
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CXCV
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CXCVI
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CXCVII
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CXCVIII
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CXCIX
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CC
283
CCI
284
CCII
285
CCIII
286
CCIV
287
CCV
288
CCVI
289
CCVII
290
CCVIII
292
CCIX
293
CCX
295
CCXI
297
CCXII
299
CCXIII
301
CCXV
303
CCXVI
304
CCXVII
308
CCXVIII
311
CCXIX
315
CCXX
320
CCXXI
325
CCXXII
327
CCXXIII
329
CCXXIV
332
CCXXV
335
CCXXVI
336
CCXXVII
339
CCXXVIII
351
CCXXIX
355
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About the author (1997)

Manfred R. Schroeder served as a distinguished member and Director of Research at AT&T Bell Laboratories for 33 years. In 1969 he became a professor of physics at the University of Gottingen, Germany.

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