Invitation to Number Theory /
| Основен автор: | ©re, ©ystein. |
|---|---|
| Формат: | Електронна книга |
| Език: | English |
| Публикувано: |
Cambridge :
Cambridge University Press,
2012.
|
| Серия: |
Anneli Lax new mathematical library.
|
| Предмети: | |
| Онлайн достъп: |
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=452158 |
| Подобни документи: |
Print version::
Invitation to Number Theory. |
Съдържание:
- ""Front Cover""; ""Invitation to Number Theory""; ""Copyright Page""; ""Contents""; ""Chapter 1. Introduction""; ""1.1 History""; ""1.2 Numerology""; ""1.3 The Pythagorean problem""; ""1.4 Figurate numbers""; ""1.5 Magic squares""; ""Chapter 2. Primes""; ""2.1 Primes and composite numbers""; ""2.2 Mersenne primes""; ""2.3 Fermat primes""; ""2.4 The sieve of Eratosthenes""; ""Chapter 3. Divisors of Numbers""; ""3.1 Fundamental factorization theorem""; ""3.2 Divisors""; ""3.3 Problems concerning divisors""; ""3.4 Perfect numbers""; ""3.5 Amicable numbers""
- ""Chapter 4. Greatest Common Divisor and Least Common Multiple""""4.1 Greatest common divisor""; ""4.2 Relatively prime numbers""; ""4.3 Euclid�s algorithm""; ""4.4 Least common multiple""; ""Chapter 5. The Pythagorean Problem""; ""5.1 Preliminaries""; ""5.2 Solutions of the Pythagorean equation""; ""5.3 Problems connected with Pythagorean triangles""; ""Chapter 6. Numeration Systems""; ""6.1 Numbers for the millions""; ""6.2 Other systems""; ""6.3 Comparison of numeration systems""; ""6.4 Some problems concerning numeration systems""; ""6.5 Computers and their numeration systems""
- ""6.6 Games with digits""""Chapter 7. Congruences""; ""7.1 Definition of congruence""; ""7.2 Some properties of congruences""; ""7.3 The algebra of congruences""; ""7.4 Powers of congruences""; ""7.5 Fermat�s congruence""; ""Chapter 8. Some Applications of Congruences""; ""8.1 Checks on computations""; ""8.2 The days of the week""; ""8.3 Tournament schedules""; ""8.4 Prime or composite?""; ""Solutions to Selected Problems""; ""References""; ""Index""