Number Theory and Its History"A very valuable addition to any mathematical library." — School Science and Math |
Contents
Counting and Recording of Numbers | 9 |
Writing of numbers | 9 |
Calculations | 14 |
Properties of Numbers Division | 25 |
Number systems | 34 |
Euclids Algorism | 41 |
Greatest common divisor and least common multiple for several | 47 |
Factor tables | 53 |
AlKarkhi and Leonardo Pisano | 185 |
From Diophantos to Fermat | 194 |
Fermats last theorem | 203 |
The Disquisitiones arithmeticae | 209 |
Operations with congruences | 216 |
Casting out nines | 225 |
Analysis of Congruences | 234 |
Simultaneous congruences and the Chinese remainder theorem | 240 |
Eulers factorization method | 59 |
Mersenne and Fermat primes | 69 |
The distribution of primes | 75 |
The Aliquot Parts | 86 |
Amicable numbers | 98 |
Greatest common divisor and least com noa multiple | 109 |
Indeterminate Problems | 116 |
Problems with two unknowns | 124 |
Problems with several unknowns | 131 |
Theory of Linear Indeterminate Problems | 142 |
Linear indeterminate equations in several unknowns | 153 |
Diophantine Problems | 165 |
Diophantos of Alexandria | 179 |
Further study of algebraic congruences | 249 |
Wilsons Theorem and Its Consequences | 259 |
Representations of numbers as the sum of two squares | 267 |
Fermats theorem | 277 |
Primitive roots for primes | 284 |
Universal exponents | 290 |
Number theory and the splicing of telephone cables | 302 |
Theory of Decimal Expansions | 311 |
The Converse of Fermats Theorem | 326 |
The classical construction problems | 340 |
Supplement | 358 |
361 | |