A Course in Computational Algebraic Number Theory: 138 Softcover reprint of the original 1st ed. 1993 Edition

A Course in Computational Algebraic Number Theory: 138 Softcover reprint of the original 1st ed. 1993 Edition book cover

A Course in Computational Algebraic Number Theory: 138 Softcover reprint of the original 1st ed. 1993 Edition

Author(s): Henri Cohen (Author)

  • Publisher: Springer
  • Publication Date: 8 Dec. 2010
  • Edition: Softcover reprint of the original 1st ed. 1993
  • Language: English
  • Print length: 557 pages
  • ISBN-10: 3642081428
  • ISBN-13: 9783642081422

Book Description

This book describes 148 algorithms which are essential for serious number-theoretic computations, in particular for computations related to lattices, algebraic number theory, elliptic curves, primality testing and factoring. For each algorithm, a complete theoretical introduction is given so that prerequisites are reduced to a minimum. Many implementation hints and exercises are also provided.

Editorial Reviews

Review

From the reviews:

H. Cohen

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 MathematicalAssociation of America, January, 2011)

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