Developed from the author's popular text, A Concise Introduction to the
Theory of Numbers, this book provides a comprehensive initiation to all
the major branches of number theory. Beginning with the rudiments of the
subject, the author proceeds to more advanced topics, including
elements of cryptography and primality testing, an account of number
fields in the classical vein including properties of their units, ideals
and ideal classes, aspects of analytic number theory including studies
of the Riemann zeta-function, the prime-number theorem and primes in
arithmetical progressions, a description of the Hardy-Littlewood and
sieve methods from respectively additive and multiplicative number
theory and an exposition of the arithmetic of elliptic curves. The book
includes many worked examples, exercises and further reading. Its wider
coverage and versatility make this book suitable for courses extending
from the elementary to beginning graduate studies.Download
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