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Algorithmic Algebraic Number Theory (Encyclopedia of Mathematics and its Applications)
ISBN 0521596696 / 9780521596695 / 0-521-59669-6
Publisher Cambridge University Press
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This classic book gives a thorough introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. It also provides a comprehensive look at recent research. For experimental number theoreticians, the authors developed new methods and obtained new results of great importance for them. Both computer scientists interested in higher arithmetic and those teaching algebraic number theory will find the book of value. [via]