1993, ISBN: 3764329130

[EAN: 9783764329136], Neubuch, [PU: Birkhäuser Basel Sep 1993], ALGEBRA; ZAHLENTHEORIE; CODINGTHEORY; CRYPTOGRAPHY; FINITEFIELD; GEOMETRY; MATHEMATICS; NUMBERTHEORY, This item is printed … Mehr…

[EAN: 9783764329136], Neubuch, [PU: Birkhäuser Basel Sep 1993], ALGEBRA; ZAHLENTHEORIE; CODINGTHEORY; CRYPTOGRAPHY; FINITEFIELD; GEOMETRY; MATHEMATICS; NUMBERTHEORY, This item is printed on demand - it takes 3-4 days longer - Neuware -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 Düsseldorf. 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 104 pp. Englisch, Books<

1993, ISBN: 3764329130

[EAN: 9783764329136], Neubuch, [SC: 0.0], [PU: Birkhäuser Basel], ALGEBRA; ZAHLENTHEORIE; CODINGTHEORY; CRYPTOGRAPHY; FINITEFIELD; GEOMETRY; MATHEMATICS; NUMBERTHEORY, Druck auf Anfrage N… Mehr…

[EAN: 9783764329136], Neubuch, [SC: 0.0], [PU: Birkhäuser Basel], ALGEBRA; ZAHLENTHEORIE; CODINGTHEORY; CRYPTOGRAPHY; FINITEFIELD; GEOMETRY; MATHEMATICS; NUMBERTHEORY, Druck auf Anfrage Neuware - Printed after ordering - 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 Düsseldorf. 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, Books<

ISBN: 9783764329136

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 De… Mehr…

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 Düsseldorf. 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, Birkhäuser<

2010, ISBN: 9783764329136

Taschenbuch

Springer, 1970-01-01. Paperback. Very Good. 0.7000 in x 9.1000 in x 6.1000 in. Signed on the title page by Verena Huber-Dyson and inscribed to the previous owner. Previous owner was Ger… Mehr…

Springer, 1970-01-01. Paperback. Very Good. 0.7000 in x 9.1000 in x 6.1000 in. Signed on the title page by Verena Huber-Dyson and inscribed to the previous owner. Previous owner was Gerhard Paul Hochschild (1915-2010), University of California, Berkeley, Professor Emeritus, was an American mathematician who worked on Lie groups, algebraic groups, homological algebra and algebraic number theory. Hochschild (1945) introduced Hochschild cohomology, a cohomology theory for algebras, which classifies deformations of algebras. Hochschild & Nakayama (1952) introduced cohomology into class field theory. No other markings in book. Inscripion reads: To Gerhard Hochschild-How I put to Use what I learned from you. Light shelf wear to covers., Springer, 1970-01-01, 3, Paperback / softback. New. Computational algebraic number theory has been attracting broad interest in the last few years due to its potential applications in coding theory and cryptography. This book emphasizes practical algorithms for the computation of integral bases, the unit group and the class group of arbitrary algebraic number fields., 6<

1993, ISBN: 3764329130

[EAN: 9783764329136], Neubuch, [PU: Birkhäuser Basel], ALGEBRA ZAHLENTHEORIE CODINGTHEORY CRYPTOGRAPHY FINITEFIELD GEOMETRY MATHEMATICS NUMBERTHEORY MATHEMATIK WAHRSCHEINLICHKEITSTHEORIE … Mehr…

[EAN: 9783764329136], Neubuch, [PU: Birkhäuser Basel], ALGEBRA ZAHLENTHEORIE CODINGTHEORY CRYPTOGRAPHY FINITEFIELD GEOMETRY MATHEMATICS NUMBERTHEORY MATHEMATIK WAHRSCHEINLICHKEITSTHEORIE STOCHASTIK MATHEMATISCHE STATISTIK CODING THEORY FINITE FIELD NUMBER, Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 sem., Books<