MSC: Primary 11;
Print ISBN: 978-1-4704-6489-9
Product Code: MBK/139
List Price: $65.00
AMS Member Price: $52.00
MAA Member Price: $58.50
Electronic ISBN: 978-1-4704-6537-7
Product Code: MBK/139.E
List Price: $65.00
AMS Member Price: $52.00
MAA Member Price: $58.50
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Supplemental Materials
The Life of Primes in 37 Episodes
Share this pageJean-Marie De Koninck; Nicolas Doyon
This book is about the life of primes. Indeed, once they are defined, primes take on a life of their own and the mysteries surrounding them begin multiplying, just like living cells reproduce themselves, and there seems to be no end to it. This monograph takes the reader on a journey through time, providing an accessible overview of the numerous prime number theory problems that mathematicians have been working on since Euclid. Topics are presented in chronological order as episodes. These include results on the distribution of primes, from the most elementary to the proof of the famous prime number theorem. The book also covers various primality tests and factorisation algorithms. It is then shown how our inability to factor large integers has allowed mathematicians to create today's most secure encryption method. Computer science buffs may be tempted to tackle some of the many open problems appearing in the episodes. Throughout the presentation, the human side of mathematics is displayed through short biographies that give a glimpse of the lives of the people who contributed to the life of primes. Each of the 37 episodes concludes with a series of problems (many with solutions) that will assist the reader in gaining a better understanding of the theory.
Readership
Undergraduate and graduate students and researchers interested in prime numbers.
Table of Contents
Table of Contents
The Life of Primes in 37 Episodes
- 1/2 title 22
- title 44
- copyright 55
- Contents 66
- Preface 1212
- Part 1 1616
- Episode 1 1818
- Episode 2 2222
- Episode 3 2828
- Episode 4 3232
- Episode 5 4040
- Episode 6 4646
- Episode 7 5656
- Episode 8 6060
- Episode 9 6666
- Episode 10 7272
- Episode 11 7676
- Episode 12 8484
- Episode 13 9494
- Part 2 100100
- Episode 14 102102
- Episode 15 110110
- Episode 16 114114
- Episode 17 118118
- Episode 18 122122
- Episode 19 132132
- Episode 20 136136
- Episode 21 142142
- Episode 22 152152
- Part 3 156156
- Episode 23 158158
- Episode 24 164164
- Episode 25 170170
- Episode 26 174174
- Episode 27 180180
- Episode 28 184184
- Part 4 190190
- Episode 29 192192
- Episode 30 198198
- Episode 31 206206
- Episode 32 210210
- Episode 33 214214
- Episode 34 222222
- Episode 35 230230
- Part 5 236236
- Episode 36 238238
- Episode 37 246246
- Appendix A 262262
- Appendix B 268268
- Appendix C 320320
- Bibliography 328328
- Notation and Symbols 338338
- Index of short bios 340340
- Index of subjects 342342