Algebraic number theory is a subject which came into being through
the attempts of mathematicians to try to prove Fermat's last
theorem and which now has a wealth of applications to diophantine
equations, cryptography, factoring, primality testing and
public-key cryptosystems. This book provides an introduction to the
subject suitable for senior undergraduates and beginning graduate
students in mathematics. The material is presented in a
straightforward, clear and elementary fashion, and the approach is
hands on, with an explicit computational flavour. Prerequisites are
kept to a minimum, and numerous examples illustrating the material
occur throughout the text. References to suggested reading and to
the biographies of mathematicians who have contributed to the
development of algebraic number theory are given at the end of each
chapter. There are over 320 exercises, an extensive index, and
helpful location guides to theorems and lemmas in the text.
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