A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. Written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.
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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 Mathematical Association of America, January, 2011)
A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. Written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.
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Destinos, gastos y plazos de envíoLibrería: Antiquariat Bookfarm, Löbnitz, Alemania
Hardcover. 4. print. XX, 551 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. X-15826 3540556400 Sprache: Deutsch Gewicht in Gramm: 1100. Nº de ref. del artículo: 2391776
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gebundene Ausgabe. Condición: Gut. 545 Seiten Der Erhaltungszustand des hier angebotenen Werks ist trotz seiner Bibliotheksnutzung sehr sauber. Es befindet sich neben dem Rückenschild lediglich ein Bibliotheksstempel im Buch; ordnungsgemäß entwidmet. In ENGLISCHER Sprache. Einbandkanten etwas fleckig. Sprache: Englisch Gewicht in Gramm: 950. Nº de ref. del artículo: 2128547
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Condición: Good. Volume 138. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1100grams, ISBN:9783540556404. Nº de ref. del artículo: 5581051
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Cloth. Condición: Very Good. Second Corrected Printing. Type: Book Signature inside cover, slight fading to spine. Nº de ref. del artículo: 060270
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Condición: Very Good. Former library book; may include library markings. Used book that is in excellent condition. May show signs of wear or have minor defects. Nº de ref. del artículo: 5701365-6
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Librería: Moe's Books, Berkeley, CA, Estados Unidos de America
Hard cover. Condición: Good. No jacket. Cover is scratched and smudged on the front and back cover, not affecting legibility. Spine and hinges are sunned. Spine is shaken, but binding is secure. Inside is clean and unmarked. Nº de ref. del artículo: 1141944
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Librería: Hourglass Books, Vancouver, BC, Canada
Hardcover. Condición: Near Fine. Third Corrected Printing. Complete number line from 0 to 5; minor wear; previous owner's name on front end paper; otherwise a solid, clean copy with no marking or underlining; collectible condition. Book. Nº de ref. del artículo: 015861
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Librería: moluna, Greven, Alemania
Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Immediate bestselling graduate textbookA description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The firs. Nº de ref. del artículo: 4893680
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book describes 148 algorithms which are fundamental for number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters lead the reader to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations. The last three chapters give a survey of factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The book ends with a description of available computer packages and some useful tables. The book also contains a large number of exercises. Written by an authority in the field, and one with great practical and teaching experience it is sure to become the standard and indispensable reference on the subject. 580 pp. Englisch. Nº de ref. del artículo: 9783540556404
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