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Author : Eric Bach
Publisher : MIT Press
ISBN 13 : 9780262024051
Total Pages : 536 pages
Book Rating : 4.0/5 (24 download)
Download or read book Algorithmic Number Theory: Efficient algorithms written by Eric Bach and published by MIT Press. This book was released on 1996 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1.
Author : J. P. Buhler
Publisher : Cambridge University Press
ISBN 13 : 0521808545
Total Pages : 653 pages
Book Rating : 4.5/5 (218 download)
Download or read book Algorithmic Number Theory written by J. P. Buhler and published by Cambridge University Press. This book was released on 2008-10-20 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to number theory for beginning graduate students with articles by the leading experts in the field.
Author : M. Pohst
Publisher : Cambridge University Press
ISBN 13 : 9780521596695
Total Pages : 520 pages
Book Rating : 4.5/5 (966 download)
Download or read book Algorithmic Algebraic Number Theory written by M. Pohst and published by Cambridge University Press. This book was released on 1997-09-25 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 3540360751
Total Pages : 609 pages
Book Rating : 4.5/5 (43 download)
Download or read book Algorithmic Number Theory written by Florian Hess and published by Springer Science & Business Media. This book was released on 2006-07-06 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Duncan Buell
Publisher : Springer Science & Business Media
ISBN 13 : 3540221565
Total Pages : 461 pages
Book Rating : 4.5/5 (42 download)
Download or read book Algorithmic Number Theory written by Duncan Buell and published by Springer Science & Business Media. This book was released on 2004-06 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Wieb Bosma
Publisher : Springer
ISBN 13 : 3540449949
Total Pages : 612 pages
Book Rating : 4.5/5 (44 download)
Download or read book Algorithmic Number Theory written by Wieb Bosma and published by Springer. This book was released on 2006-12-30 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Ingo Wegener
Publisher : Springer
ISBN 13 : 9783642059148
Total Pages : 308 pages
Book Rating : 4.0/5 (591 download)
Download or read book Complexity Theory written by Ingo Wegener and published by Springer. This book was released on 2010-10-13 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reflects recent developments in its emphasis on randomized and approximation algorithms and communication models All topics are considered from an algorithmic point of view stressing the implications for algorithm design
Author : Oleg Nikolaevich Vasilenko
Publisher : American Mathematical Soc.
ISBN 13 : 9780821840900
Total Pages : 274 pages
Book Rating : 4.8/5 (49 download)
Download or read book Number-Theoretic Algorithms in Cryptography written by Oleg Nikolaevich Vasilenko and published by American Mathematical Soc.. This book was released on 2007 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Guillaume Hanrot
Publisher : Springer Science & Business Media
ISBN 13 : 3642145175
Total Pages : 407 pages
Book Rating : 4.6/5 (421 download)
Download or read book Algorithmic Number Theory written by Guillaume Hanrot and published by Springer Science & Business Media. This book was released on 2010-07-07 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 9783540646570
Total Pages : 660 pages
Book Rating : 4.6/5 (465 download)
Download or read book Algorithmic Number Theory written by Joe P. Buhler and published by Springer Science & Business Media. This book was released on 1998-06-05 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Bhubaneswar Mishra
Publisher : Springer Science & Business Media
ISBN 13 : 1461243440
Total Pages : 427 pages
Book Rating : 4.4/5 (612 download)
Download or read book Algorithmic Algebra written by Bhubaneswar Mishra and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic Algebra studies some of the main algorithmic tools of computer algebra, covering such topics as Gröbner bases, characteristic sets, resultants and semialgebraic sets. The main purpose of the book is to acquaint advanced undergraduate and graduate students in computer science, engineering and mathematics with the algorithmic ideas in computer algebra so that they could do research in computational algebra or understand the algorithms underlying many popular symbolic computational systems: Mathematica, Maple or Axiom, for instance. Also, researchers in robotics, solid modeling, computational geometry and automated theorem proving community may find it useful as symbolic algebraic techniques have begun to play an important role in these areas. The book, while being self-contained, is written at an advanced level and deals with the subject at an appropriate depth. The book is accessible to computer science students with no previous algebraic training. Some mathematical readers, on the other hand, may find it interesting to see how algorithmic constructions have been used to provide fresh proofs for some classical theorems. The book also contains a large number of exercises with solutions to selected exercises, thus making it ideal as a textbook or for self-study.
Author : Guillaume Hanrot
Publisher : Springer
ISBN 13 : 3642145183
Total Pages : 397 pages
Book Rating : 4.6/5 (421 download)
Download or read book Algorithmic Number Theory written by Guillaume Hanrot and published by Springer. This book was released on 2010-07-08 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Henri Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 9783540615811
Total Pages : 422 pages
Book Rating : 4.6/5 (158 download)
Download or read book Algorithmic Number Theory written by Henri Cohen and published by Springer Science & Business Media. This book was released on 1996-08-07 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Mikhail J. Atallah
Publisher : CRC Press
ISBN 13 : 1439832331
Total Pages : 1944 pages
Book Rating : 4.4/5 (398 download)
Download or read book Algorithms and Theory of Computation Handbook - 2 Volume Set written by Mikhail J. Atallah and published by CRC Press. This book was released on 2022-05-30 with total page 1944 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Claus Fieker
Publisher : Springer Science & Business Media
ISBN 13 : 3540438637
Total Pages : 526 pages
Book Rating : 4.5/5 (44 download)
Download or read book Algorithmic Number Theory written by Claus Fieker and published by Springer Science & Business Media. This book was released on 2002-06-26 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Joppe W. Bos
Publisher : Cambridge University Press
ISBN 13 : 1108666671
Total Pages : 281 pages
Book Rating : 4.1/5 (86 download)
Download or read book Topics in Computational Number Theory Inspired by Peter L. Montgomery written by Joppe W. Bos and published by Cambridge University Press. This book was released on 2017-10-12 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Peter L. Montgomery has made significant contributions to computational number theory, introducing many basic tools such as Montgomery multiplication, Montgomery simultaneous inversion, Montgomery curves, and the Montgomery ladder. This book features state-of-the-art research in computational number theory related to Montgomery's work and its impact on computational efficiency and cryptography. Topics cover a wide range of topics such as Montgomery multiplication for both hardware and software implementations; Montgomery curves and twisted Edwards curves as proposed in the latest standards for elliptic curve cryptography; and cryptographic pairings. This book provides a comprehensive overview of integer factorization techniques, including dedicated chapters on polynomial selection, the block Lanczos method, and the FFT extension for algebraic-group factorization algorithms. Graduate students and researchers in applied number theory and cryptography will benefit from this survey of Montgomery's work.
Author : Claus Fieker
Publisher : Springer
ISBN 13 : 3540454551
Total Pages : 522 pages
Book Rating : 4.5/5 (44 download)
Download or read book Algorithmic Number Theory written by Claus Fieker and published by Springer. This book was released on 2003-08-02 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Algorithmic Number Theory Symposium, ANTS-V, held in Sydney, Australia, in July 2002. The 34 revised full papers presented together with 5 invited papers have gone through a thorough round of reviewing, selection and revision. The papers are organized in topical sections on number theory, arithmetic geometry, elliptic curves and CM, point counting, cryptography, function fields, discrete logarithms and factoring, Groebner bases, and complexity.
