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An introduction to number theory for beginning graduate students with articles by the leading experts in the field.
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Informazioni sull?autore
Joe Buhler received his Ph.D. from Harvard University in 1977, writing a thesis on algebraic number theory. He has taught at the Pennsylvania State Universtiy, Harvard University, and Reed College, and served as the Deputy Director at the Mathematical Sciences Research Institute in Berkeley, California. His research interests include number theory, combinatorics, algebra, and algorithmic aspects of these fields. In addition to research papers and monographs he has written popular articles on mathematics, and the mathematics of juggling. He has served on various committees of the American Mathematical Society and the Mathematics Association of America, is an editor for several journals, and has organized several major conferences in number theory.
Peter Stevenhagen obtained his PhD from the University of California at Berkeley in 1988. He was charge de recherche in the CNRS in Besançon, France before forming a small number theory group at the University of Amsterdam. Since 1993, he is the organizer of the biweekly Intercity Number Theory Seminar, the Dutch national platform for research in number theory. In 2000 he was appointed at Leiden University, the oldest university in the Netherlands, which was founded in 1575. Besides his research papers, his bibliography counts various papers in number theory of popularizing and historical nature. He is a member of the board of the Dutch Mathematical Society, the Wiskundig Genootschap.
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Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography
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Cambridge University Press, 2008
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ISBN 13: 9780521808545
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Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography (Mathematical Sciences Research Institute Publications)
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Cambridge University Press, 2008
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Hardcover. Condizione: new. Hardcover. Number theory is one of the oldest and most appealing areas of mathematics. Computation has always played a role in number theory, a role which has increased dramatically in the last 20 or 30 years, both because of the advent of modern computers, and because of the discovery of surprising and powerful algorithms. As a consequence, algorithmic number theory has gradually emerged as an important and distinct field with connections to computer science and cryptography as well as other areas of mathematics. This text provides a comprehensive introduction to algorithmic number theory for beginning graduate students, written by the leading experts in the field. It includes several articles that cover the essential topics in this area, and in addition, there are contributions pointing in broader directions, including cryptography, computational class field theory, zeta functions and L-series, discrete logarithm algorithms, and quantum computing. This comprehensive introduction for beginning graduate students contains articles by the leading experts in the field. It covers basic topics such as algorithmic aspects of number fields, elliptic curves, and lattice basis reduction and advanced topics including cryptography, computational class field theory, zeta functions and L-series, and quantum computing. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780521808545
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Condizione: New. An introduction to number theory for beginning graduate students with articles by the leading experts in the field. Editor(s): Buhler, Joe P.; Stevenhagen, Peter. Series: Mathematical Sciences Research Institute Publications. Num Pages: 664 pages, Illustrations. BIC Classification: PBH. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 37. Weight in Grams: 1100. . 2008. Illustrated. hardcover. . . . . Codice articolo V9780521808545
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Algorithmic Number Theory : Lattices, Number Fields, Curves and Cryptography
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ISBN 13: 9780521808545
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Algorithmic Number Theory (Hardcover)
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ISBN 13: 9780521808545
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Hardcover. Condizione: new. Hardcover. Number theory is one of the oldest and most appealing areas of mathematics. Computation has always played a role in number theory, a role which has increased dramatically in the last 20 or 30 years, both because of the advent of modern computers, and because of the discovery of surprising and powerful algorithms. As a consequence, algorithmic number theory has gradually emerged as an important and distinct field with connections to computer science and cryptography as well as other areas of mathematics. This text provides a comprehensive introduction to algorithmic number theory for beginning graduate students, written by the leading experts in the field. It includes several articles that cover the essential topics in this area, and in addition, there are contributions pointing in broader directions, including cryptography, computational class field theory, zeta functions and L-series, discrete logarithm algorithms, and quantum computing. This comprehensive introduction for beginning graduate students contains articles by the leading experts in the field. It covers basic topics such as algorithmic aspects of number fields, elliptic curves, and lattice basis reduction and advanced topics including cryptography, computational class field theory, zeta functions and L-series, and quantum computing. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Codice articolo 9780521808545
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