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Number Theory By W.A. Coppel

Number Theory by W.A. Coppel

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Summary

This two-volume book is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A is accessible to first-year undergraduates and deals with elementary number theory. The book contains a treasury of proofs, several of which are gems seldom seen in number theory books.

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Number Theory Summary

Number Theory: An Introduction to Mathematics: Part B by W.A. Coppel

This two-volume book is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A is accessible to first-year undergraduates and deals with elementary number theory. Part B is more advanced and gives the reader an idea of the scope of mathematics today. The connecting theme is the theory of numbers. By exploring its many connections with other branches a broad picture is obtained. The book contains a treasury of proofs, several of which are gems seldom seen in number theory books.

Number Theory Reviews

Aus den Rezensionen: "... Die Grundidee besteht darin, ein Gefuhl der Einheit und der Vielfalt der Mathematik beizubringen. Dazu eignet sich Zahlentheorie besonders gut ... In diesem Sinne ist das Buch eine Einfuhrung in die Mathematik durch die Zahlentheorie ... Zunachst wird die Theorie padagogisch entwickelt, mit Beispielen oder einfachen Ergebnissen beginnend. In einem weiteren Abschnitt werden Verallgemeinerungen, Anwendungen, Verfeinerungen ohne Beweis erwahnt, historische und fachliche Anmerkungen hinzugefugt, und eine ausfuhrliche Literaturliste angegeben. ... ein schoener Text uber klassische Zahlentheorie." (G. Barat, in: Internationale Mathematische Nachrichten, December/2009, Issue 12, S. 48 f.)

Table of Contents

The arithmetic of quadratic forms.- The geometry of numbers.- The number of prime numbers.- A character study.- Uniform distribution and ergodic theory.- Elliptic functions.- Connections with number theory.

Additional information

NLS9781441940070
9781441940070
1441940073
Number Theory: An Introduction to Mathematics: Part B by W.A. Coppel
New
Paperback
Springer-Verlag New York Inc.
2010-10-29
360
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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Customer Reviews - Number Theory