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 to cart. $22.66, very good condition, Sold by Hay-on-Wye Booksellers rated 4.0 out of 5 stars, ships from Hereford, UNITED KINGDOM, published 1993 by Springer.
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Very Good. 1993. hardcover. Cloth, no dj. Minor scuffing and edge wear to boards. Former owner's signature on front paste down and ffep. Else a bright, clean copy. Very Good. (Subject: Mathematics).
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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. $93.53, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1993 by Springer.
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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.
Add this copy of A Course in Computational Algebraic Number Theory to cart. $167.73, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1993 by Springer.
