Elementary Theory of Numbers (Classic Reprint)

Elementary Theory of Numbers (Classic Reprint)
Author: Harriet Griffin
Publisher: Forgotten Books
Total Pages: 218
Release: 2017-12-11
Genre: Mathematics
ISBN: 9781527921726

Excerpt from Elementary Theory of Numbers It is to be emphasized that this book is just a text. It is written for the student rather than the teacher. It is neither erudite nor exhaustive. The reader with a good grasp of algebra and the ability to concentrate will be able to understand it. It is hoped, moreover, that it will interest him and induce him to pursue his inquiries further. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Elementary Theory of Numbers

Elementary Theory of Numbers
Author: W. Sierpinski
Publisher: Elsevier
Total Pages: 527
Release: 1988-02-01
Genre: Mathematics
ISBN: 0080960197

Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised.The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of Gaussian integers.

Elementary Theory of Numbers

Elementary Theory of Numbers
Author: William J. LeVeque
Publisher: Courier Corporation
Total Pages: 162
Release: 2014-01-15
Genre: Mathematics
ISBN: 0486150763

This superb text introduces number theory to readers with limited formal mathematical training. Intended for use in freshman- and sophomore-level courses in arts and science curricula, in teacher-training programs, and in enrichment programs for high-school students, it is filled with simple problems to stimulate readers' interest, challenge their abilities and increase mathematical strength. Contents: I. Introduction II. The Euclidean Algorithm and Its Consequences III. Congruences IV. The Powers of an Integer Modulo m V. Continued Fractions VI. The Gaussian Integers VII. Diophantine Equations Requiring only a sound background in high-school mathematics, this work offers the student an excellent introduction to a branch of mathematics that has been a strong influence in the development of higher pure mathematics, both in stimulating the creation of powerful general methods in the course of solving special problems (such as Fermat conjecture and the prime number theorem) and as a source of ideas and inspiration comparable to geometry and the mathematics of physical phenomena.

Elementary Number Theory

Elementary Number Theory
Author: Underwood Dudley
Publisher: Courier Corporation
Total Pages: 274
Release: 2012-06-04
Genre: Mathematics
ISBN: 0486134873

Written in a lively, engaging style by the author of popular mathematics books, this volume features nearly 1,000 imaginative exercises and problems. Some solutions included. 1978 edition.

A Classical Introduction to Modern Number Theory

A Classical Introduction to Modern Number Theory
Author: Kenneth Ireland
Publisher: Springer Science & Business Media
Total Pages: 406
Release: 2013-04-17
Genre: Mathematics
ISBN: 147572103X

This well-developed, accessible text details the historical development of the subject throughout. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. This second edition contains two new chapters that provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic curves.

Elementary Number Theory

Elementary Number Theory
Author: Edmund Landau
Publisher: American Mathematical Society
Total Pages: 256
Release: 2021-02-22
Genre: Mathematics
ISBN: 1470463253

This three-volume classic work is reprinted here as a single volume.

Elementary Number Theory

Elementary Number Theory
Author: Gareth A. Jones
Publisher: Springer Science & Business Media
Total Pages: 305
Release: 2012-12-06
Genre: Mathematics
ISBN: 144710613X

An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares. In particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.

Elementary Number Theory

Elementary Number Theory
Author: James K. Strayer
Publisher: Waveland Press
Total Pages: 303
Release: 2001-12-04
Genre: Mathematics
ISBN: 1478610409

In this student-friendly text, Strayer presents all of the topics necessary for a first course in number theory. Additionally, chapters on primitive roots, Diophantine equations, and continued fractions allow instructors the flexibility to tailor the material to meet their own classroom needs. Each chapter concludes with seven Student Projects, one of which always involves programming a calculator or computer. All of the projects not only engage students in solving number-theoretical problems but also help familiarize them with the relevant mathematical literature.