One of the first of a new generation of books in mathematics that show the reader how to do large or complex computations using the power of computer algebra. It contains descriptions of 148 algorithms, which are fundamental for number theoretic calculations, in particular for computations related to algebraic number theory, elliptic curves, primality testing, lattices and factoring. For each subject there is a complete theoretical introduction. A detailed description of each algorithm is given allowing for immediate computer implementation. Many of the algorithms are new or appear for the first time in this book. A large number of exercises is also included.
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From the reviews:
A Course in Computational Algebraic Number Theory
"With numerous advances in mathematics, computer science, and cryptography, algorithmic number theory has become an important subject. Undoubtedly, this book, written by one of the leading authorities in the field, is one of the most beautiful books available on the market."
―ACTA SCIENTIARUM MATHEMATICARUM
“This book is intended to provide material for a three-semester sequence, introductory, graduate course in computational algebraic number theory. ... The book is excellent. ... The book has 75 sections, making it suitable for a three-semester sequence. There are numerous exercises at all levels ... . The bibliography is quite comprehensive and therefore has intrinsic value in its own right. ... chapters bring the student to the frontiers of the field, covering elliptic curves, modern primality testing and modern factoring methods.” (Russell Jay Hendel, The Mathematical Association of America, January, 2011)
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Description du livre Springer, 1993. Hardcover. État : New. N° de réf. du libraire P110387556400
Description du livre Springer. Hardcover. État : New. 0387556400 New Condition. N° de réf. du libraire NEW6.0183134
Description du livre Springer, 1993. Hardcover. État : New. 3rd, Corr. Print. This item is printed on demand. N° de réf. du libraire DADAX0387556400