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Author: Arthur Oliver Lonsdale Atkin
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 462
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Book Description
The Atlas Symposium No. 2, "Computers in Number Theory" was held at Oxford during the week of 18-23 August, 1969. The Atlas Computer Laboratory, a part of the Science Research Council, was set up with the provision of a large scale computing service for British universities as its major purpose. This volume contains papers presented at the symposium, illustrating all aspects of the use of computers in number theory: as an essential part of a proof, as an aid to discovery, and negatively as a possible ally in doing what has not yet been done.
Author: Song Y. Yan
Publisher: Springer Science & Business Media
ISBN: 366204773X
Category : Computers
Languages : en
Pages : 454
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Book Description
This book provides a good introduction to the classical elementary number theory and the modern algorithmic number theory, and their applications in computing and information technology, including computer systems design, cryptography and network security. In this second edition proofs of many theorems have been provided, further additions and corrections were made.
Author: Arthur Oliver Lonsdale Atkin
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 462
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Book Description
The Atlas Symposium No. 2, "Computers in Number Theory" was held at Oxford during the week of 18-23 August, 1969. The Atlas Computer Laboratory, a part of the Science Research Council, was set up with the provision of a large scale computing service for British universities as its major purpose. This volume contains papers presented at the symposium, illustrating all aspects of the use of computers in number theory: as an essential part of a proof, as an aid to discovery, and negatively as a possible ally in doing what has not yet been done.
Author: Ramanujachary Kumanduri
Publisher: Pearson
ISBN:
Category : Mathematics
Languages : en
Pages : 566
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Book Description
Appropriate for most courses in Number Theory. This book effectively integrates computing algorithms into the number theory curriculum using a heuristic approach and strong emphasis on proofs. Its in-depth coverage of modern applications considers the latest trends and topics, such as elliptic curves--a subject that has seen a rise in popularity due to its use in the proof of Fermat's Last Theorem.
Author: Jaime Gutierrez
Publisher: Springer
ISBN: 3319150812
Category : Computers
Languages : en
Pages : 213
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Book Description
Algebra and number theory have always been counted among the most beautiful mathematical areas with deep proofs and elegant results. However, for a long time they were not considered that important in view of the lack of real-life applications. This has dramatically changed: nowadays we find applications of algebra and number theory frequently in our daily life. This book focuses on the theory and algorithms for polynomials over various coefficient domains such as a finite field or ring. The operations on polynomials in the focus are factorization, composition and decomposition, basis computation for modules, etc. Algorithms for such operations on polynomials have always been a central interest in computer algebra, as it combines formal (the variables) and algebraic or numeric (the coefficients) aspects. The papers presented were selected from the Workshop on Computer Algebra and Polynomials, which was held in Linz at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) during November 25-29, 2013, at the occasion of the Special Semester on Applications of Algebra and Number Theory.
Author: Eric Bach
Publisher: MIT Press
ISBN: 9780262024051
Category : Computers
Languages : en
Pages : 536
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Book Description
Volume 1.
Author: Henri Cohen
Publisher: Springer Science & Business Media
ISBN: 3662029456
Category : Mathematics
Languages : en
Pages : 556
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Book Description
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.
Author: R. B. J. T. Allenby
Publisher: Hodder Arnold
ISBN: 9780713136616
Category : Mathematics
Languages : en
Pages : 309
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Book Description
This introduction to number theory has been written specifically for mathematics and computing undergraduates. Computer programs in BASIC are accompanied by basic text which explains the subject and demonstrates how computers have opened up new horizons for number theorists.
Author: Marty Lewinter
Publisher: John Wiley & Sons
ISBN: 1119062764
Category : Mathematics
Languages : en
Pages : 240
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Book Description
A highly successful presentation of the fundamental concepts of number theory and computer programming Bridging an existing gap between mathematics and programming, Elementary Number Theory with Programming provides a unique introduction to elementary number theory with fundamental coverage of computer programming. Written by highly-qualified experts in the fields of computer science and mathematics, the book features accessible coverage for readers with various levels of experience and explores number theory in the context of programming without relying on advanced prerequisite knowledge and concepts in either area. Elementary Number Theory with Programming features comprehensive coverage of the methodology and applications of the most well-known theorems, problems, and concepts in number theory. Using standard mathematical applications within the programming field, the book presents modular arithmetic and prime decomposition, which are the basis of the public-private key system of cryptography. In addition, the book includes: Numerous examples, exercises, and research challenges in each chapter to encourage readers to work through the discussed concepts and ideas Select solutions to the chapter exercises in an appendix Plentiful sample computer programs to aid comprehension of the presented material for readers who have either never done any programming or need to improve their existing skill set A related website with links to select exercises An Instructor’s Solutions Manual available on a companion website Elementary Number Theory with Programming is a useful textbook for undergraduate and graduate-level students majoring in mathematics or computer science, as well as an excellent supplement for teachers and students who would like to better understand and appreciate number theory and computer programming. The book is also an ideal reference for computer scientists, programmers, and researchers interested in the mathematical applications of programming.
Author: Donald D. Spencer
Publisher: Computer Science Press, Incorporated
ISBN:
Category : Computers
Languages : en
Pages : 270
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Book Description
Author: George E. Andrews
Publisher: Courier Corporation
ISBN: 9780486682525
Category : Mathematics
Languages : en
Pages : 292
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Book Description
Written by a distinguished mathematician and teacher, this undergraduate text uses a combinatorial approach to accommodate both math majors and liberal arts students. In addition to covering the basics of number theory, it offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more.
