Introduction to Analytic Number Theory
(Sprache: Englisch)
"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For...
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Produktinformationen zu „Introduction to Analytic Number Theory “
"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."--MATHEMATICAL REVIEWS
Klappentext zu „Introduction to Analytic Number Theory “
"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."--MATHEMATICAL REVIEWSInhaltsverzeichnis zu „Introduction to Analytic Number Theory “
1: The Fundamental Theorem of Arithmetic2: Arithmetical Functions and Dirichlet Multiplication
3: Averages of Arithmetical Function
4: Some Elementary Theorems on the Distribution of Prime Numbers
5: Congruences
6: Finite Abelian Groups and Their Characters
7: Dirichlet's Theorem on Primes in Arithmetic Progressions
8: Periodic Arithmetical Functions and Gauss Sums
9: Quadratic Residues and the Quadratic Reciprocity Law
10: Primitive Roots
11: Dirichlet Series and Euler Products
12: The Functions
13: Analytic Proof of the Prime Number Theorem
14: Partitions
Autoren-Porträt von Tom M. Apostol
Tom A. Apostol, Emeritus Professor at the California Institute of Technology, is the author of several highly regarded texts on calculus, analysis, and number theory, and is Director of Project MATHEMATICS!, a series of computer-animated mathematics videotapes.
Bibliographische Angaben
- Autor: Tom M. Apostol
- 1998, Corr. pr., 340 Seiten, 5 Schwarz-Weiß-Abbildungen, Maße: 24,2 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 0387901639
- ISBN-13: 9780387901633
Sprache:
Englisch
Rezension zu „Introduction to Analytic Number Theory “
T.M. Apostol Introduction to Analytic Number Theory "This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages. The presentation is invariably lucid and the book is a real pleasure to read."
-MATHEMATICAL REVIEWS
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