Number Theory An Introduction via the Density of Primes /

• Main Authors: Fine, Benjamin (Author), Rosenberger, Gerhard (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Edition: 2nd ed. 2016.
• Subjects: Mathematics.; Data structures (Computer science).; Matrix theory.; Algebra.; Mathematical analysis.; Analysis (Mathematics).; Applied mathematics.; Engineering mathematics.; Mathematical logic.; Number theory.; Number Theory.; Mathematical Logic and Foundations.; Linear and Multilinear Algebras, Matrix Theory.; Analysis.; Applications of Mathematics.; Data Structures, Cryptology and Information Theory.

Now in its second edition, this textbook provides an introduction and overview of number theory based on the density and properties of the prime numbers. This unique approach offers both a firm background in the standard material of number theory, as well as an overview of the entire discipline. All...

Table of Contents:

• Introduction and Historical Remarks
• Basic Number Theory
• The Infinitude of Primes
• The Density of Primes
• Primality Testing: An Overview
• Primes and Algebraic Number Theory
• The Fields Q_p of p-adic Numbers: Hensel's Lemma
• References
• Index.