With the advent of powerful computing tools and numerous advances in math ematics, computer science and cryptography, algorithmic number theory has become an important subject in its own right. Both external and internal pressures gave a powerful impetus to the development of more powerful al gorithms. These in turn led to a large number of spectacular breakthroughs. To mention but a few, the LLL algorithm which has a wide range of appli cations, including real world applications to integer programming, primality testing ...
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With the advent of powerful computing tools and numerous advances in math ematics, computer science and cryptography, algorithmic number theory has become an important subject in its own right. Both external and internal pressures gave a powerful impetus to the development of more powerful al gorithms. These in turn led to a large number of spectacular breakthroughs. To mention but a few, the LLL algorithm which has a wide range of appli cations, including real world applications to integer programming, primality testing and factoring algorithms, sub-exponential class group and regulator algorithms, etc ... Several books exist which treat parts of this subject. (It is essentially impossible for an author to keep up with the rapid pace of progress in all areas of this subject.) Each book emphasizes a different area, corresponding to the author's tastes and interests. The most famous, but unfortunately the oldest, is Knuth's Art of Computer Programming, especially Chapter 4. The present book has two goals. First, to give a reasonably comprehensive introductory course in computational number theory. In particular, although we study some subjects in great detail, others are only mentioned, but with suitable pointers to the literature. Hence, we hope that this book can serve as a first course on the subject. A natural sequel would be to study more specialized subjects in the existing literature.
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Add this copy of A Course in Computational Algebraic Number Theory: 138 to cart. $57.88, good condition, Sold by Greener Books rated 4.0 out of 5 stars, ships from London, UNITED KINGDOM, published 2010 by Springer.
Edition:
2010, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
12/08/2010
Language:
English
Alibris ID:
16922351538
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Volume 138. This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 1100grams, ISBN: 9783540556404.
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Near Fine. No Jacket as Issued. Book Complete number line from 0 to 5; minor wear; previous owner's name on front end paper; otherwise a solid, clean copy with no marking or underlining; collectible condition.
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Good. No jacket. Cover is scratched and smudged on the front and back cover, not affecting legibility. Spine and hinges are sunned. Spine is shaken, but binding is secure. Inside is clean and unmarked.
Add this copy of A Course in Computational Algebraic Number Theory to cart. $71.96, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1993 by Springer Verlag.