Author: K. Ireland
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 355
ISBN-13: 1475717792
DOWNLOAD EBOOK →This book is a revised and greatly expanded version of our book Elements of Number Theory published in 1972. As with the first book the primary audience we envisage consists of upper level undergraduate mathematics majors and graduate students. We have assumed some familiarity with the material in a standard undergraduate course in abstract algebra. A large portion of Chapters 1-11 can be read even without such background with the aid of a small amount of supplementary reading. The later chapters assume some knowledge of Galois theory, and in Chapters 16 and 18 an acquaintance with the theory of complex variables is necessary. Number theory is an ancient subject and its content is vast. Any intro ductory book must, of necessity, make a very limited selection from the fascinat ing array of possible topics. Our focus is on topics which point in the direction of algebraic number theory and arithmetic algebraic geometry. By a careful selection of subject matter we have found it possible to exposit some rather advanced material without requiring very much in the way oftechnical background. Most of this material is classical in the sense that is was dis covered during the nineteenth century and earlier, but it is also modern because it is intimately related to important research going on at the present time.
Author: Armel Mercier
Publisher: American Mathematical Soc.
Published: 2007
Total Pages: 358
ISBN-13: 9780821886182
DOWNLOAD EBOOK →Author: Hugh L. Montgomery
Publisher: Springer
Published: 2006-11-15
Total Pages: 187
ISBN-13: 354036935X
DOWNLOAD EBOOK →Author: Emil Grosswald
Publisher: Springer Science & Business Media
Published: 2010-02-23
Total Pages: 336
ISBN-13: 0817648380
DOWNLOAD EBOOK →Many of the important and creative developments in modern mathematics resulted from attempts to solve questions that originate in number theory. The publication of Emil Grosswald’s classic text presents an illuminating introduction to number theory. Combining the historical developments with the analytical approach, Topics from the Theory of Numbers offers the reader a diverse range of subjects to investigate.
Author: Paulo Ribenboim
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 676
ISBN-13: 0387216901
DOWNLOAD EBOOK →The exposition of the classical theory of algebraic numbers is clear and thorough, and there is a large number of exercises as well as worked out numerical examples. A careful study of this book will provide a solid background to the learning of more recent topics.
Author: Victor Shoup
Publisher: Cambridge University Press
Published: 2005-04-28
Total Pages: 544
ISBN-13: 9780521851541
DOWNLOAD EBOOK →This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes.
Author: Hugh L. Montgomery
Publisher: Cambridge University Press
Published: 2007
Total Pages: 574
ISBN-13: 9780521849036
DOWNLOAD EBOOK →A 2006 text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State.
Author: Michael Th. Rassias
Publisher: Springer Science & Business Media
Published: 2010-11-16
Total Pages: 336
ISBN-13: 1441904956
DOWNLOAD EBOOK →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: Oystein Ore
Publisher: Courier Corporation
Published: 2012-07-06
Total Pages: 400
ISBN-13: 0486136434
DOWNLOAD EBOOK →Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.