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A Course in Computational Algebraic Number Theory, Henri Cohen


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Автор: Henri Cohen
Название:  A Course in Computational Algebraic Number Theory
ISBN: 9783642081422
Издательство: Springer
Классификация:


ISBN-10: 3642081428
Обложка/Формат: Paperback
Страницы: 536
Вес: 0.79 кг.
Дата издания: 08.12.2010
Серия: Graduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 30
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: With the advent of powerful computing tools and numerous advances in math- ematics, computer science and cryptography, algorithmic number theory has become an important subject in its own right. Both external and internal pressures gave a powerful impetus to the development of more powerful al- gorithms. These in turn led to a large number of spectacular breakthroughs. To mention but a few, the LLL algorithm which has a wide range of appli- cations, including real world applications to integer programming, primality testing and factoring algorithms, sub-exponential class group and regulator algorithms, etc ... Several books exist which treat parts of this subject. (It is essentially impossible for an author to keep up with the rapid pace of progress in all areas of this subject.) Each book emphasizes a different area, corresponding to the authors tastes and interests. The most famous, but unfortunately the oldest, is Knuths Art of Computer Programming, especially Chapter 4. The present book has two goals. First, to give a reasonably comprehensive introductory course in computational number theory. In particular, although we study some subjects in great detail, others are only mentioned, but with suitable pointers to the literature. Hence, we hope that this book can serve as a first course on the subject. A natural sequel would be to study more specialized subjects in the existing literature.


Computational Algebraic Number Theory

Автор: M.E. Pohst
Название: Computational Algebraic Number Theory
ISBN: 3764329130 ISBN-13(EAN): 9783764329136
Издательство: Springer
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Цена: 4186.00 р.
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Описание: 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.

Computational Number Theory and Modern Cryptography

Автор: Yan Song Y
Название: Computational Number Theory and Modern Cryptography
ISBN: 1118188586 ISBN-13(EAN): 9781118188583
Издательство: Wiley
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Цена: 13139.00 р.
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Описание: * Makes deep mathematical problems accessible to computer scientists and engineers * Based on classroom tested materials used in the US, UK and China * Exercises included in every chapter * Instructor resources available on the book s Companion Website .

Computational Excursions in Analysis and Number Theory

Автор: Borwein Peter
Название: Computational Excursions in Analysis and Number Theory
ISBN: 0387954449 ISBN-13(EAN): 9780387954448
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This introduction to computational number theory is centered on a number of problems that live at the interface of analytic, computational and Diophantine number theory, and provides a diverse collection of techniques for solving number- theoretic problems. There are many exercises and open research problems included.

Cryptography and Computational Number Theory

Автор: Kwok Y. Lam; Igor Shparlinski; Huaxiong Wang; Chao
Название: Cryptography and Computational Number Theory
ISBN: 3034895070 ISBN-13(EAN): 9783034895071
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This volume contains the refereed proceedings of the Workshop on Cryptography and Computational Number Theory, CCNT`99, which has been held in Singapore during the week of November 22-26, 1999.

Computational Excursions in Analysis and Number Theory

Автор: Peter Borwein
Название: Computational Excursions in Analysis and Number Theory
ISBN: 1441930000 ISBN-13(EAN): 9781441930002
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This introduction to computational number theory is centered on a number of problems that live at the interface of analytic, computational and Diophantine number theory, and provides a diverse collection of techniques for solving number- theoretic problems. There are many exercises and open research problems included.

Advanced Topics in Computational Number Theory

Автор: Henri Cohen
Название: Advanced Topics in Computational Number Theory
ISBN: 0387987274 ISBN-13(EAN): 9780387987279
Издательство: Springer
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Цена: 9362.00 р.
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Описание: Written by an authority with great practical and teaching experience in the field, this book addresses a number of topics in computational number theory. Chapters one through five form a homogenous subject matter suitable for a six-month or year-long course in computational number theory.

Computational Methods for Algebraic Spline Surfaces

Автор: Tor Dokken; Bert J?ttler
Название: Computational Methods for Algebraic Spline Surfaces
ISBN: 3642062334 ISBN-13(EAN): 9783642062339
Издательство: Springer
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Цена: 21661.00 р.
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Описание: This volume contains revised papers that were presented at the international workshop entitled Computational Methods for Algebraic Spline Surfaces ("COMPASS"), which was held from September 29 to October 3, 2003, at Schloss Weinberg, Kefermarkt (A- tria).

Algebraic Modeling of Topological and Computational Structures and Applications

Автор: Sofia Lambropoulou; Doros Theodorou; Petros Stefan
Название: Algebraic Modeling of Topological and Computational Structures and Applications
ISBN: 3319681028 ISBN-13(EAN): 9783319681023
Издательство: Springer
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Цена: 22359.00 р.
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Описание: This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification of algorithms, dynamical systems) and concrete applications (modeling of polymers and ionic liquids, video, music and medical imaging).

Algebraic Number Theory and Fermat`s Last Theorem, Fourth Edition

Автор: Stewart
Название: Algebraic Number Theory and Fermat`s Last Theorem, Fourth Edition
ISBN: 1498738397 ISBN-13(EAN): 9781498738392
Издательство: Taylor&Francis
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Цена: 13014.00 р.
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Описание:

Updated to reflect current research, Algebraic Number Theory and Fermat's Last Theorem, Fourth Edition introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics--the quest for a proof of Fermat's Last Theorem. The authors use this celebrated theorem to motivate a general study of the theory of algebraic numbers from a relatively concrete point of view. Students will see how Wiles's proof of Fermat's Last Theorem opened many new areas for future work.

New to the Fourth Edition

  • Provides up-to-date information on unique prime factorization for real quadratic number fields, especially Harper's proof that Z(√14) is Euclidean
  • Presents an important new result: Mihăilescu's proof of the Catalan conjecture of 1844
  • Revises and expands one chapter into two, covering classical ideas about modular functions and highlighting the new ideas of Frey, Wiles, and others that led to the long-sought proof of Fermat's Last Theorem
  • Improves and updates the index, figures, bibliography, further reading list, and historical remarks

Written by preeminent mathematicians Ian Stewart and David Tall, this text continues to teach students how to extend properties of natural numbers to more general number structures, including algebraic number fields and their rings of algebraic integers. It also explains how basic notions from the theory of algebraic numbers can be used to solve problems in number theory.

Contributions in Analytic and Algebraic Number Theory

Автор: Valentin Blomer; Preda Mih?ilescu
Название: Contributions in Analytic and Algebraic Number Theory
ISBN: 1489991581 ISBN-13(EAN): 9781489991584
Издательство: Springer
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Цена: 25853.00 р.
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Описание: The text that comprises this volume is a collection of surveys and original works from experts in the fields of algebraic number theory, analytic number theory, harmonic analysis, and hyperbolic geometry.

A Brief Guide to Algebraic Number Theory

Автор: H. P. F. Swinnerton-Dyer
Название: A Brief Guide to Algebraic Number Theory
ISBN: 0521004233 ISBN-13(EAN): 9780521004237
Издательство: Cambridge Academ
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Цена: 7762.00 р.
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Описание: A 2001 account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. Encompasses everything that graduate students and pure mathematicians interested in the subject are likely to need. Many exercises and an annotated reading list are included.


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