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Author : Eric Bach,Jeffrey Outlaw Shallit
Publisher : MIT Press
Page : 536 pages
File Size : 40,8 Mb
Release : 1996
Category : Computers
ISBN : 0262024055
Volume 1.
Author : J. P. Buhler,P. Stevenhagen
Publisher : Cambridge University Press
Page : 653 pages
File Size : 42,9 Mb
Release : 2008-10-20
Category : Computers
ISBN : 9780521808545
An introduction to number theory for beginning graduate students with articles by the leading experts in the field.
Author : Duncan Buell
Publisher : Springer Science & Business Media
Page : 461 pages
File Size : 48,8 Mb
Release : 2004-06
Category : Computers
ISBN : 9783540221562
This book constitutes the refereed proceedings of the 6th International Algorithmic Number Theory Symposium, ANTS 2004, held in Burlington, VT, USA, in June 2004. The 30 revised full papers presented together with 3 invited papers were carefully reviewed and selected for inclusion in the book. Among the topics addressed are zeta functions, elliptic curves, hyperelliptic curves, GCD algorithms, number field computations, complexity, primality testing, Weil and Tate pairings, cryptographic algorithms, function field sieve, algebraic function field mapping, quartic fields, cubic number fields, lattices, discrete logarithms, and public key cryptosystems.
Author : M. Pohst,H. Zassenhaus
Publisher : Cambridge University Press
Page : 520 pages
File Size : 42,9 Mb
Release : 1997-09-25
Category : Mathematics
ISBN : 0521596696
Now in paperback, this classic book is addresssed to all lovers of number theory. On the one hand, it gives a comprehensive introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. On the other hand many parts go beyond an introduction an make the user familliar with recent research in the field. For experimental number theoreticians new methods are developed and new results are obtained which are of great importance for them. Both computer scientists interested in higher arithmetic and those teaching algebraic number theory will find the book of value.
Author : Florian Hess
Publisher : Springer Science & Business Media
Page : 609 pages
File Size : 44,7 Mb
Release : 2006-07-06
Category : Computers
ISBN : 9783540360759
This book constitutes the refereed proceedings of the 7th International Algorithmic Number Theory Symposium, ANTS 2006, held in Berlin, Germany in July 2006. The 37 revised full papers presented together with 4 invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on algebraic number theory, analytic and elementary number theory, lattices, curves and varieties over fields of characteristic zero, curves over finite fields and applications, and discrete logarithms.
Author : Wieb Bosma
Publisher : Springer
Page : 612 pages
File Size : 40,9 Mb
Release : 2006-12-30
Category : Mathematics
ISBN : 9783540449942
This book constitutes the refereed proceedings of the 4th International Algorithmic Number Theory Symposium, ANTS-IV, held in Leiden, The Netherlands, in July 2000. The book presents 36 contributed papers which have gone through a thorough round of reviewing, selection and revision. Also included are 4 invited survey papers. Among the topics addressed are gcd algorithms, primality, factoring, sieve methods, cryptography, linear algebra, lattices, algebraic number fields, class groups and fields, elliptic curves, polynomials, function fields, and power sums.
Author : Alf J. van der Poorten,Andreas Stein
Publisher : Springer
Page : 463 pages
File Size : 45,7 Mb
Release : 2008-05-07
Category : Computers
ISBN : 9783540794561
This book constitutes the refereed proceedings of the 8th International Algorithmic Number Theory Symposium, ANTS 2008, held in Banff, Canada, in May 2008. The 28 revised full papers presented together with 2 invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on elliptic curves cryptology and generalizations, arithmetic of elliptic curves, integer factorization, K3 surfaces, number fields, point counting, arithmetic of function fields, modular forms, cryptography, and number theory.
Author : Guillaume Hanrot,Francois Morain,Emmanuel Thomé
Publisher : Springer Science & Business Media
Page : 407 pages
File Size : 52,7 Mb
Release : 2010-07-07
Category : Computers
ISBN : 9783642145179
This book constitutes the refereed proceedings of the 9th International Algorithmic Number Theory Symposium, ANTS 2010, held in Nancy, France, in July 2010. The 25 revised full papers presented together with 5 invited papers were carefully reviewed and selected for inclusion in the book. The papers are devoted to algorithmic aspects of number theory, including elementary number theory, algebraic number theory, analytic number theory, geometry of numbers, algebraic geometry, finite fields, and cryptography.
Author : Joe P. Buhler
Publisher : Springer Science & Business Media
Page : 660 pages
File Size : 41,7 Mb
Release : 1998-06-05
Category : Computers
ISBN : 3540646574
The field of diagnostic nuclear medicine has changed significantly during the past decade. This volume is designed to present the student and the professional with a comprehensive update of recent developments not found in other textbooks on the subject. The various clinical applications of nuclear medicine techniques are extensively considered, and due attention is given also to radiopharmaceuticals, equipment and instrumentation, reconstruction techniques and the principles of gene imaging.
Author : Oleg Nikolaevich Vasilenko
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 43,5 Mb
Release : 2007
Category : Language Arts & Disciplines
ISBN : 0821840908
Algorithmic number theory is a rapidly developing branch of number theory, which, in addition to its mathematical importance, has substantial applications in computer science and cryptography. Among the algorithms used in cryptography, the following are especially important: algorithms for primality testing; factorization algorithms for integers and for polynomials in one variable; applications of the theory of elliptic curves; algorithms for computation of discrete logarithms; algorithms for solving linear equations over finite fields; and, algorithms for performing arithmetic operations on large integers. The book describes the current state of these and some other algorithms. It also contains extensive bibliography. For this English translation, additional references were prepared and commented on by the author.
Author : Mikhail J. Atallah,Marina Blanton
Publisher : CRC Press
Page : 1944 pages
File Size : 54,9 Mb
Release : 2022-05-30
Category : Computers
ISBN : 9781439832332
Algorithms and Theory of Computation Handbook, Second Edition in a two volume set, provides an up-to-date compendium of fundamental computer science topics and techniques. It also illustrates how the topics and techniques come together to deliver efficient solutions to important practical problems. New to the Second Edition: Along with updating and revising many of the existing chapters, this second edition contains more than 20 new chapters. This edition now covers external memory, parameterized, self-stabilizing, and pricing algorithms as well as the theories of algorithmic coding, privacy and anonymity, databases, computational games, and communication networks. It also discusses computational topology, computational number theory, natural language processing, and grid computing and explores applications in intensity-modulated radiation therapy, voting, DNA research, systems biology, and financial derivatives. This best-selling handbook continues to help computer professionals and engineers find significant information on various algorithmic topics. The expert contributors clearly define the terminology, present basic results and techniques, and offer a number of current references to the in-depth literature. They also provide a glimpse of the major research issues concerning the relevant topics
Author : Henri Cohen
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 49,6 Mb
Release : 1996-08-07
Category : Computers
ISBN : 3540615814
This book constitutes the refereed post-conference proceedings of the Second International Algorithmic Number Theory Symposium, ANTS-II, held in Talence, France in May 1996. The 35 revised full papers included in the book were selected from a variety of submissions. They cover a broad spectrum of topics and report state-of-the-art research results in computational number theory and complexity theory. Among the issues addressed are number fields computation, Abelian varieties, factoring algorithms, finite fields, elliptic curves, algorithm complexity, lattice theory, and coding.
Author : Guillaume Hanrot,Francois Morain,Emmanuel Thomé
Publisher : Springer
Page : 397 pages
File Size : 49,8 Mb
Release : 2010-07-08
Category : Computers
ISBN : 9783642145186
This book constitutes the refereed proceedings of the 9th International Algorithmic Number Theory Symposium, ANTS 2010, held in Nancy, France, in July 2010. The 25 revised full papers presented together with 5 invited papers were carefully reviewed and selected for inclusion in the book. The papers are devoted to algorithmic aspects of number theory, including elementary number theory, algebraic number theory, analytic number theory, geometry of numbers, algebraic geometry, finite fields, and cryptography.
Author : Claus Fieker,David R. Kohel
Publisher : Springer Science & Business Media
Page : 526 pages
File Size : 45,7 Mb
Release : 2002-06-26
Category : Computers
ISBN : 9783540438632
Self-organized criticality (SOC) has become a magic word in various scientific disciplines; it provides a framework for understanding complexity and scale invariance in systems showing irregular fluctuations. In the first 10 years after Per Bak and his co-workers presented their seminal idea, more than 2000 papers on this topic appeared. Seismology has been a field in earth sciences where the SOC concept has already deepened the understanding, but there seem to be much more examples in earth sciences where applying the SOC concept may be fruitful. After introducing the reader into the basics of fractals, chaos and SOC, the book presents established and new applications of SOC in earth sciences, namely earthquakes, forest fires, landslides and drainage networks.
Author : Eric Bach
Publisher : Unknown
Page : 15 pages
File Size : 50,9 Mb
Release : 1991
Category : Electronic
ISBN : OCLC:246350320