Elementary Number Theory (Int'l Ed)  (English, Paperback, Burton David)

Elementary Number Theory covers number theory in all aspects, for a one semester course on the subject in maths and other related undergraduate courses.

Summary Of The Book

Number theory, the study of integers, is a branch of pure mathematics. It influences almost every other branch of mathematics, and is of high significance in computer science. It is also a part of a course on discrete mathematics for computer science students.

Elementary Number Theory number theory, its history and development, the various aspects of number theory, and recent developments and research on the subject. This is the sixth edition of the original book.

The book has sixteen sections, and some of these are Preliminaries, Divisibility Theory In The Integers, Primes and Their Distribution, The Theory of Congruences, Fermat’s Theorem, Number-Theoretic Functions, Euler’s Generalization of Fermat’s Theorem, and Primitive Roots and Indices.

Other sections from this book are The Quadratic Reciprocity Law, Introduction To Cryptography; Numbers of Special Form, Certain Nonlinear Diophantine Equations, Representation of Integers as Sums of Squares, Fibonacci Numbers, Continued Fractions, and Some Twentieth-Century Developments.

The author weaves the history and evolution of number theory into the text in a seamless way. The problems in the book help the students gain a deeper understanding of the subject.

The book contains challenging theoretical problems and straightforward computational problems. The computational problems help in reinforcing the concepts learnt, while the  theoretical problems provide practice for proof construction.

About David M. Burton

David M. Burton has written a number of textbooks on mathematics.

Other books by David M. Burton include The History of Mathematics: An Introduction, Student's Solutions Manual to Accompany Elementary Number Theory, and An Introduction To Abstract Mathematical Systems.