This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.
Rezensionen / Stimmen
"In contrast to far too many mathematics books, this book has lots of text surrounding all the mathematical formulas. It's all a very rich mix, and I suspect students would enjoy using this book; I also suspect they would find it quite challenging. Tattersall's Nine Chapters came out just a week or so late for me to select it for my Number Theory course this spring. Next time around, it'll be high on the list of possible textbooks for the course." MAA Online "An appropriate addition to a number theory collection." Choice "Written in a rousing style...many exercises--I counted 891--and many of them are rather ingenious!" Monatshefte fur Mathematik "Written in a rousing style...many exercises--I counted 891--and many of them are rather ingenious!" Monatshefte fur Mathematik
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Illustrationen
70 Tables, unspecified; 38 Line drawings, unspecified
Maße
Höhe: 235 mm
Breite: 157 mm
Dicke: 26 mm
Gewicht
ISBN-13
978-0-521-58503-3 (9780521585033)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
Providence College, Rhode Island
1. The intriguing natural numbers; 2. Divisibility; 3. Prime numbers; 4. Perfect numbers; 5. Modular arithmetic; 6. Higher order congruences; 7. Cryptology; 8. Representations; 9. Partitions.
