Author: David Sharpe
Publisher: Cambridge University Pre
Keywords: factorization, rings
Number of Pages: 124
Published: 1987-08-28
List price: $30.99
ISBN-10: 0521337186
ISBN-13: 9780521337182

This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. With the minimum of prerequisites, the reader is introduced to the notion of rings, fields, prime elements and unique factorization. The author shows how concepts can be applied to a variety of examples such as factorizing polynomials, finding determinants of matrices and Fermat’s ’two-squares theorem’. Based on an undergraduate course given at the University of Sheffield, Dr Sharpe has included numerous examples which demonstrate how frequently these

Author: Steven H. Weintraub
Publisher: A K Peters
Keywords: treatises, mathematics, cms, otherwise, unique, factorization
Number of Pages: 250
Published: 2008-05-10
List price: $59.00
ISBN-10: 1568812418
ISBN-13: 9781568812410

The concept of factorization, familiar in the ordinary system of whole numbers that can be written as a unique product of prime numbers, plays a central role in modern mathematics and its applications. This exposition of the classic theory leads the reader to an understanding of the current knowledge of the subject and its connections to other mathematical concepts, for example in algebraic number theory. The book can be used as a text for a first course in number theory or for self-study by motivated high school students or readers interested in modern mathematics.

Author: Sandor Szabo
Publisher: Birkhäuser Basel
Keywords: groups, abelian, factorization, topics
Number of Pages: 334
Published: 2005-04-01
List price: $139.00
ISBN-10: 3764371587
ISBN-13: 9783764371586

The main objective of this book is to give a systematic exposition of the main results and techniques of the factorization theory of abelian groups. The necessary background materials are presented along with some of the most important applications in geometry, combinatorics, coding theory, and number theory. A large part of the text is accessible to students, requiring only basic knowledge in group theory and algebra. Helpful exercises are provided in every chapter. Researchers will find the book a comprehensive reference work on the topic.

Authors:Chi-Tai Chuang, Chung-Chun Yang,
Publisher: World Scientific Publishing Company
Keywords: functions, meromorphic, factorization, points, fix
Number of Pages: 227
Published: 1990-04
List price: $71.00
ISBN-10: 9810200080
ISBN-13: 9789810200084

Author: David M. Bressoud
Publisher: Springer
Keywords: texts, mathematics, undergraduate, testing, primality, factorization
Number of Pages: 260
Published: 1989-10-02
List price: $69.95
ISBN-10: 0387970401
ISBN-13: 9780387970400

This book focuses on a single problem: how to factor a large integer or prove its prime. From the Sieve of Eratosthenes of ancient Greece to the Multiple Polynomial Quadratic Sieve and the Elliptic Curve Methods discovered in the past few years, this self-contained text provides a survey of the heritage and an introduction to the current research in this field. It can also be used as an introduction to Number Theory and has the advantage over most texts in this area of being built around a unifying theme. With its strong emphasis on algorithms, it encourages learning through computation and ex

Author: R. V. Ambartzumian
Publisher: Cambridge University Press
Keywords: mathematics, applications, encyclopedia, probability, calculus, geometric, factorization
Number of Pages: 300
Published: 1990-09-28
List price: $130.00
ISBN-10: 0521345359
ISBN-13: 9780521345354

The classical subjects of geometric probability and integral geometry, and the more modern one of stochastic geometry, are developed here in a novel way to provide a framework in which they can be studied. The author focuses on factorization properties of measures and probabilities implied by the assumption of their invariance with respect to a group, in order to investigate nontrivial factors. The study of these properties is the central theme of the book. Basic facts about integral geometry and random point process theory are developed in a simple geometric way, so that the whole approach

Author: Hans Riesel
Publisher: Birkhäuser Boston
Keywords: progress, mathematics, factorization, methods, numbers, computer, prime
Number of Pages: 464
Published: 1994-10-01
List price: $179.00
ISBN-10: 0817637435
ISBN-13: 9780817637439

In the modern age of almost universal computer usage, practically every individual in a technologically developed society has routine access to the most up-to-date cryptographic technology that exists, the so-called RSA public-key cryptosystem. A major component of this system is the factorization of large numbers into their primes. Thus an ancient number-theory concept now plays a crucial role in communication among millions of people who may have little or no knowledge of even elementary mathematics. Hans Riesel’s highly successful first edition of this book has now been enlarged and upda