| Edition |
Second edition. |
| Description |
xii, 414 pages : illustrations ; 25 cm. |
|
text txt rdacontent |
|
unmediated n rdamedia |
|
volume nc rdacarrier |
| Series |
Textbooks in mathematics |
|
Textbooks in mathematics (Boca Raton, Fla.)
|
| Note |
"A Chapman & Hall book." |
| Bibliography |
Includes bibliographical references (pages 405-407) and index. |
| Contents |
Divisibility -- Greatest common divisor -- Primes -- Congruences -- Special congruences -- Primitive roots -- Crytography -- Quadratic residues -- Applications of quadratic residues -- Sums of squares -- Further topics in diophantine equations -- Continued fractions -- Continued fraction expansions of quadratic irrationals -- Arithmetic functions -- Large primes -- Analytic number theory -- Elliptic curves. |
| Summary |
"Covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert's tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Euler's theorem in RSA encryption, and quadratic residues in the construction of tournaments."--Provided by publisher. |
| Subject |
Number theory -- History.
|
|
Number theory. (OCoLC)fst01041214
|
| Genre/Form |
History. (OCoLC)fst01411628
|
| Added Author |
Vazzana, Anthony, author.
|
|
Garth, David, author.
|
| Added Title |
Number theory |
| ISBN |
9781498717496 (hbk. ; acid-free paper) |
|
1498717497 |
|
