Elements of Number Theory
This book is a concise introduction to number theory and some related algebra, with an emphasis on solving equations in integers. Finding integer solutions led to two fundamental ideas of number theory in ancient times - the Euclidean algorithm and unique prime factorization - and in modern times to...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
2003, 2003
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| Edition: | 1st ed. 2003 |
| Series: | Undergraduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Natural numbers and integers
- 2 The Euclidean algorithm
- 3 Congruence arithmetic
- 4 The RSA cryptosystem
- 5 The Pell equation
- 6 The Gaussian integers
- 7 Quadratic integers
- 8 The four square theorem
- 9 Quadratic reciprocity
- 10 Rings
- 11 Ideals
- 12 Prime ideals