Computational algebraic number theory has been attracting broad interest in the last few years due to its potential applications in coding theory and cryptography. For this reason, the Deutsche Mathematiker Vereinigung initiated an introductory graduate seminar on this topic in D???sseldorf. The lectures given there by the author served as the basis for this book which allows fast access to the state of the art in this area. Special emphasis has been placed on practical algorithms - all developed in the last five years - ...
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Computational algebraic number theory has been attracting broad interest in the last few years due to its potential applications in coding theory and cryptography. For this reason, the Deutsche Mathematiker Vereinigung initiated an introductory graduate seminar on this topic in D???sseldorf. The lectures given there by the author served as the basis for this book which allows fast access to the state of the art in this area. Special emphasis has been placed on practical algorithms - all developed in the last five years - for the computation of integral bases, the unit group and the class group of arbitrary algebraic number fields. Contents: Introduction - Topics from finite fields - Arithmetic and polynomials - Factorization of polynomials - Topics from the geometry of numbers - Hermite normal form - Lattices - Reduction - Enumeration of lattice points - Algebraic number fields - Introduction - Basic Arithmetic - Computation of an integral basis - Integral closure - Round-Two-Method - Round-Four-Method - Computation of the unit group - Dirichlet's unit theorem and a regulator bound - Two methods for computing r independent units - Fundamental unit computation - Computation of the class group - Ideals and class number - A method for computing the class group - Appendix - The number field sieve - KANT - References - Index
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Add this copy of Computational Algebraic Number Theory (Oberwolfach to cart. $13.69, good condition, Sold by Phatpocket Limited rated 5.0 out of 5 stars, ships from Waltham Abbey, ESSEX, UNITED KINGDOM, published 1993 by Birkhauser.
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New. Trade paperback (US). Glued binding. 90 p. Contains: Unspecified, Illustrations, black & white. Oberwolfach Seminars, 21. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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Add this copy of Computational Algebraic Number Theory (Oberwolfach to cart. $76.90, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1993 by Birkhäuser.
