An Introductory Course In Elementary Number Theory
Download An Introductory Course In Elementary Number Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get An Introductory Course In Elementary Number Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
An Introductory Course in Elementary Number Theory
These notes serve as course notes for an undergraduate course in number theory. Most if not all universities worldwide offer introductory courses in numbertheory for math majors and in many cases as an elective course. The notes contain a useful introduction to important topics that need to be addressedin a course in number theory. Proofs of basic theorems are presented inan interesting and comprehensive way that can be read and understood even bynon-majors with the exception in the last three chapters where a background inanalysis, measure theory and abstract algebra is required. The exercises are carefullychosen to broaden the understanding of the concepts. Moreover, these notesshed light on analytic number theory, a subject that is rarely seen or approachedby undergraduate students. One of the unique characteristics of these notes is thecareful choice of topics and its importance in the theory of numbers. The freedomis given in the last two chapters because of the advanced nature of the topics thatare presented. Thanks to professor Pavel Guerzhoy from University of Hawaii for his contributionin chapter six on continued fraction and to Professor Ramez Maalouf fromNotre Dame University, Lebanon for his contribution to chapter eight.
Elementary Number Theory
Author: Gareth A. Jones
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
Our intention in writing this book is to give an elementary introduction to number theory which does not demand a great deal of mathematical back ground or maturity from the reader, and which can be read and understood with no extra assistance. Our first three chapters are based almost entirely on A-level mathematics, while the next five require little else beyond some el ementary group theory. It is only in the last three chapters, where we treat more advanced topics, including recent developments, that we require greater mathematical background; here we use some basic ideas which students would expect to meet in the first year or so of a typical undergraduate course in math ematics. Throughout the book, we have attempted to explain our arguments as fully and as clearly as possible, with plenty of worked examples and with outline solutions for all the exercises. There are several good reasons for choosing number theory as a subject. It has a long and interesting history, ranging from the earliest recorded times to the present day (see Chapter 11, for instance, on Fermat's Last Theorem), and its problems have attracted many of the greatest mathematicians; consequently the study of number theory is an excellent introduction to the development and achievements of mathematics (and, indeed, some of its failures). In particular, the explicit nature of many of its problems, concerning basic properties of inte gers, makes number theory a particularly suitable subject in which to present modern mathematics in elementary terms.
An Introductory Course in Elementary Number Theory
These notes serve as course notes for an undergraduate course in number theory. Most if not all universities worldwide offer introductory courses in number theory for math majors and in many cases as an elective course. The notes contain a useful introduction to important topics that need to be addressed in a course in number theory. Proofs of basic theorems are presented in an interesting and comprehensive way that can be read and understood even by non-majors with the exception in the last three chapters where a background in analysis, measure theory and abstract algebra is required. The exercises are carefully chosen to broaden the understanding of the concepts. Moreover, these notes shed light on analytic number theory, a subject that is rarely seen or approached by undergraduate students. One of the unique characteristics of these notes is the careful choice of topics and its importance in the theory of numbers. The freedom is given in the last two chapters because of the advanced nature of the topics that are presented.