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Author: Paulo Ribenboim
Publisher: Springer Science & Business Media
ISBN: 9780387975085
Category : Mathematics
Languages : en
Pages : 260
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Book Description
Author: Paulo Ribenboim
Publisher: Springer Science & Business Media
ISBN: 9780387975085
Category : Mathematics
Languages : en
Pages : 260
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Book Description
Author: Malik S.B.
Publisher: Vikas Publishing House
ISBN: 9780706987492
Category : Mathematics
Languages : en
Pages : 232
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Book Description
This book is designed to meet the needs of the first course in Number Theory for the undergraduate students of various Indian and foreign universities. The students who are appearing at various competitive examinations where mathematics is on for testing shall also find it useful.
Author: Shigeru Kanemitsu
Publisher: World Scientific
ISBN: 9814644943
Category : Mathematics
Languages : en
Pages : 212
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Book Description
Based on the successful 7th China-Japan seminar on number theory conducted in Kyushu University, this volume is a compilation of survey and semi-survey type of papers by the participants of the seminar. The topics covered range from traditional analytic number theory to elliptic curves and universality. This volume contains new developments in the field of number theory from recent years and it provides suitable problems for possible new research at a level which is not unattainable. Timely surveys will be beneficial to a new generation of researchers as a source of information and these provide a glimpse at the state-of-the-art affairs in the fields of their research interests.
Author: Shigeru Kanemitsu
Publisher: World Scientific
ISBN: 9814452459
Category : Mathematics
Languages : en
Pages : 273
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Book Description
This volume is based on the successful 6th ChinaOCoJapan Seminar on number theory that was held in Shanghai Jiao Tong University in August 2011. It is a compilation of survey papers as well as original works by distinguished researchers in their respective fields. The topics range from traditional analytic number theory OCo additive problems, divisor problems, Diophantine equations OCo to elliptic curves and automorphic L-functions. It contains new developments in number theory and the topics complement the existing two volumes from the previous seminars which can be found in the same book series.
Author: Michael Th. Rassias
Publisher: Springer Science & Business Media
ISBN: 1441904956
Category : Mathematics
Languages : en
Pages : 336
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Book Description
The book provides a self-contained introduction to classical Number Theory. All the proofs of the individual theorems and the solutions of the exercises are being presented step by step. Some historical remarks are also presented. The book will be directed to advanced undergraduate, beginning graduate students as well as to students who prepare for mathematical competitions (ex. Mathematical Olympiads and Putnam Mathematical competition).
Author: Kristine K. Fowler
Publisher: CRC Press
ISBN: 9780824750350
Category : Language Arts & Disciplines
Languages : en
Pages : 412
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Book Description
This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathematics and details methods of access to primary literature sources of new research, applications, results, and techniques. Using the Mathematics Literature is the most comprehensive and up-to-date resource on mathematics literature in both print and electronic formats, presenting time-saving strategies for retrieval of the latest information.
Author: Song Y. Yan
Publisher: Springer Science & Business Media
ISBN: 1475738161
Category : Computers
Languages : en
Pages : 249
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Book Description
Primality Testing and Integer Factorization in Public-Key Cryptography introduces various algorithms for primality testing and integer factorization, with their applications in public-key cryptography and information security. More specifically, this book explores basic concepts and results in number theory in Chapter 1. Chapter 2 discusses various algorithms for primality testing and prime number generation, with an emphasis on the Miller-Rabin probabilistic test, the Goldwasser-Kilian and Atkin-Morain elliptic curve tests, and the Agrawal-Kayal-Saxena deterministic test for primality. Chapter 3 introduces various algorithms, particularly the Elliptic Curve Method (ECM), the Quadratic Sieve (QS) and the Number Field Sieve (NFS) for integer factorization. This chapter also discusses some other computational problems that are related to factoring, such as the square root problem, the discrete logarithm problem and the quadratic residuosity problem.
Author: Robin Wilson
Publisher: Oxford University Press
ISBN: 0192519069
Category : Mathematics
Languages : en
Pages : 177
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Book Description
Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the 'building blocks' of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks, and for many years has been studied for its intrinsic beauty and elegance, not least because several of its challenges are so easy to state that everyone can understand them, and yet no-one has ever been able to resolve them. But number theory has also recently become of great practical importance - in the area of cryptography, where the security of your credit card, and indeed of the nation's defence, depends on a result concerning prime numbers that dates back to the 18th century. Recent years have witnessed other spectacular developments, such as Andrew Wiles's proof of 'Fermat's last theorem' (unproved for over 250 years) and some exciting work on prime numbers. In this Very Short Introduction Robin Wilson introduces the main areas of classical number theory, both ancient and modern. Drawing on the work of many of the greatest mathematicians of the past, such as Euclid, Fermat, Euler, and Gauss, he situates some of the most interesting and creative problems in the area in their historical context. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Author: Song Y. Yan
Publisher: Springer Science & Business Media
ISBN: 3662040530
Category : Computers
Languages : en
Pages : 396
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Book Description
Taking readers from elementary number theory, via algorithmic, to applied number theory in computer science, this text introduces basic concepts, results, and methods, before going on to discuss their applications in the design of hardware and software, cryptography, and security. Aimed at undergraduates in computing and information technology, and presupposing only high-school math, this book will also interest mathematics students concerned with applications. XXXXXXX Neuer Text This is an essential introduction to number theory for computer scientists. It treats three areas, elementary-, algorithmic-, and applied number theory in a unified and accessible manner. It introduces basic concepts and methods, and discusses their applications to the design of hardware, software, cryptography, and information security. Aimed at computer scientists, electrical engineers and students the presentation presupposes only an understanding of high-school math.
Author: Armel Mercier
Publisher: American Mathematical Soc.
ISBN: 9780821886182
Category : Mathematics
Languages : en
Pages : 358
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Book Description
