The Theory of Numbers (Classic Reprint) - Couverture souple

Carmichael, Robert Daniel

Couverture souple

ISBN 10 : 1333420366 ISBN 13 : 9781333420369

Editeur : Forgotten Books, 2018

Synopsis

Master the essentials of number theory with a compact, classroom-friendly introduction. This book presents the core ideas of the subject in clear, brief chapters and is designed for beginners. It collects fundamental results, practical methods, and carefully chosen exercises that reinforce learning.

It lays out the basic properties of integers, divisibility, and prime numbers; introduces congruences and modular arithmetic; and presents key theorems from Fermat and Wilson. The material is drawn from lectures and is organized to help readers build confidence as they work through the topics and problems.

• Foundational notions and laws of arithmetic, including divisors, units, and factoring.


• Fundamental properties of congruences, modular arithmetic, and simple solution methods.


• Theorems of Fermat and Wilson, with corollaries and practical implications.


• A broad set of exercises, from straightforward to challenging, to reinforce understanding.

Ideal for students beginning number theory, and for teachers seeking a compact, approachable primer to support classroom study.

A propos du livre

Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

Présentation de l'éditeur

The purpose of this little book is to give the reader a convenient introduction to the theory of numbers, one of the most extensive and most elegant disciplines in the whole body of mathematics. The arrangement of the material is as follows: The first five chapters are devoted to the development of those elements which are essential to any study of the subject. The sixth and last chapter is intended to give the reader some indication of the direction of further study with a brief account of the nature of the material in each of the topics suggested. The treatment throughout is made as brief as is possible consistent with clearness and is confined entirely to fundamental matters. This is done because it is believed that in this way the book may best be made to serve its purpose as an introduction to the theory of numbers. Numerous problems are supplied throughout the text. These have been selected with great care so as to serve as excellent exercises for the student's introductory training in the methods of number theory and to afford at the same time a further collection of useful results.

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1333420366
• ISBN 13: 9781333420369
• Reliure: Broché
• Nombre de pages: 101
• Coordonnées du fabricant: Copytech (UK) Ltd, Trading as Printondemand-worldwide.com; gpsr@podww.com; ; 9 Culley Court; Orton Southgate; Peterborough; Cambridgeshire; PE2 6WA; Royaume-Uni
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