Authors:
- Solid introduction to analytic number theory, including full proofs of Dirichlet’s Theorem and the Prime Number Theorem
- Combines user-friendly style, historical context and a wide range of exercises from simple to complex, with selected solutions and tips
- First treatment in book form of the AKS algorithm, showing that primality testing is of polynomial time
- Offers interesting side topics, such as primality testing and cryptography, Fermat and Mersenne numbers, and Carmichael numbers
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Table of contents (6 chapters)
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Front Matter
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Back Matter
About this book
Reviews
This book attempts the rather ambitious task of covering much of elementary, analytic and algebraic number theory in a bit over 300 pages. –MathSciNet
Authors and Affiliations
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Department of Mathematics, Fairfield University, Fairfield, USA
Benjamin Fine
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Fachbereich Mathematik, Universität Dortmund, Dortmund, Germany
Gerhard Rosenberger
Bibliographic Information
Book Title: Number Theory
Book Subtitle: An Introduction via the Distribution of Primes
Authors: Benjamin Fine, Gerhard Rosenberger
DOI: https://doi.org/10.1007/978-0-8176-4541-0
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2007
eBook ISBN: 978-0-8176-4541-0Published: 04 June 2007
Edition Number: 1
Number of Pages: XVI, 342
Number of Illustrations: 12 b/w illustrations
Topics: Number Theory, Mathematical Logic and Foundations, Linear and Multilinear Algebras, Matrix Theory, Analysis, Applications of Mathematics, Data Structures and Information Theory