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Lectures on number theory

Author: Peter Gustav Lejeune Dirichlet; Richard Dedekind
Publisher: Providence, RI : American Mathematical Society ; [London] : London Mathematical Society, 1999.
Series: History of mathematics, v. 16.
Edition/Format:   Print book : English
Summary:
"This volume is a translation of Dirichlet's Vorlesungen uber Zahlentheorie which includes nine supplements by Dedekind and an introduction by John Stillwell, who translated the volume." "Lectures on Number Theory is the first of its kind on the subject matter. It covers most of the topics that are standard in a modern first course on number theory, but also includes Dirichlet's famous results on class numbers and  Read more...
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Document Type: Book
All Authors / Contributors: Peter Gustav Lejeune Dirichlet; Richard Dedekind
ISBN: 0821820176 9780821820179
OCLC Number: 41580568
Description: xx, 275 pages ; 26 cm.
Contents: Ch. 1. On the divisibility of numbers --
Ch. 2. On the congruence of numbers --
Ch. 3. On quadratic residues --
Ch. 4. On quadratic forms --
Ch. 5. Determination of the class number of binary quadratic forms --
Supplement I. Some theorems from Gauss's theory of circle division --
Supplement II. On the limiting value of an infinite series --
Supplement III. A geometric theorem --
Supplement IV. Genera of quadratic forms --
Supplement V. Power residues for composite moduli --
Supplement VI. Primes in arithmetic progressions --
Supplement VII. Some theorems from the theory of circle division --
Supplement VIII. On the Pell equation --
Supplement IX. Convergence and continuity of some infinite series.
Series Title: History of mathematics, v. 16.
Other Titles: Vorlesungen über zahlentheorie.
Responsibility: P.G.L. Dirichlet ; supplements by R. Dedekind ; translated by John Stillwell.

Abstract:

Presents a translation of Dirichlet's ""Vorlesungen uber Zahlentheorie"". Part of the ""History of Mathematics"" series, this title covers most of the topics that are standard in a modern first  Read more...

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