Introduction to the theory of numbers: Leonard E Dickson

Introduction to the theory of numbers: Leonard E Dickson
Dover Publications | ISBN: 0486603423 | 1957 | PDF (OCR)/djvu (ocr) | 183 pages | 19.52/16.71 Mb

The aim of this book is not technique, but the central ideas of the subject. Topics are not abandoned just at the point when they become most interesting, but are carried to fruition with attention to both classic and recent literature. Topics are excluded if their full treatment requires results capable of proof only by intricate analytic methods. In spite of this limitation, the material presented is fairly representative of the vast literature.

The first three chapters treat divisibility, congruences, quadratic residues, and the reciprocity law. Binary quadratic orms are treated fully in four chaptesr without the usual restrict to integral coefficients. These chapters are interspersed with four chapters on Diophantine equations, the first of which is quite elementary, the second involves the notion of reduced binary quadratic forms, while the last two are elementary (and may be read early) but involve long chains of arguments.

The book is intended for beginners and develops the subject from first principles. College algebra is the only prerequisite except in chapter X. But there is a gradual accumuation of definitions, concepts, and notations which the reader must become thoroughly familiar before he can profit by the second part of the book. For this reason, he should solve many of the numerous problems, which were carefully selected and are not beyond beginners.


pdf@Uploading.com
djvu@Uploading.com
djvu@Rapidshare.com

Encyclopedia of Mathematics, Volumes 1-4

Encyclopedia of Mathematics, Volumes 1-4 by B. M. Brandenberger
Macmillan 2002 | 4 books | ISBN: 0028655621; 002865563X; 0028655648; 0028655656 | DjVu | 21.2 MB

“Mathematics has been defined as the "universal language of numbers," a language whose basic principles remain the same for all users. Many rouroutine activities, from balancing a checkbook to measuring ingredients for a recipe, require a certain familiarity with mathematical concepts and appliapplications.

In Macmillan's Nlathematics encyclopedia, users will learn more about the function of mathematics in everyday life, as well as its role as a tool for measurement, data analysis, and technological development. InterInterdisciplinary in scope, the encyclopedia provides students with a clear and comprehensive introduction to this vast topic through nearly three hundred entries commissioned especially for the set.

A Broader Look at Mathematics For many people, mathematics and its basic disciplines—such as algealgebra, geometry, and trigonometry—are subjects of fear and dread. The goal of the Mathematics encyclopedia is to make these topics more accessible and interesting to students and the general user. Readers will learn that Mathemathematics is much more than numbers alone—it is also an integral part of his history and culture. Biographical entries highlight mathematicians who have made significant contributions to the field. Over thirty career-related artiarticles offer examples of mathematics "on the job," whether it's a nutritionist calculating dietary needs or a photographer compensating for low-light conconditions. Entries on applications explore the role of mathematics in our modmodern world, from everyday conveniences to global communication methods and a multitude of scientific and technological advances.

Organization of the Material The authors who contributed entries to Mathematics bring a variety of expertise to the subject, and include members of academic institutions, math educators, and curriculum specialists. Contributors used their subject knowledge to write entries that are authoritative and up-to-date, but free of overly technological terms or scientific jargon. Many entries are illustrated, and numerous equations, tables, figures, and sidebars help illuminate the text.

Unfamiliar terms and concepts are highlighted and defined in the margin, while cross-references direct users to articles of related interest. Most entries feature a selected bibliography, including Internet resources. Each volume includes a topical outline, glossary, and index, with a cumulative index to the entire set appearing in volume 4.

http://uploading.com/files/LKXQH01Q/encyclopedia_of_mathematics_-_gale_group.rar.html
0r
ttp://www.megaupload.com/?d=L4HZKXTD