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Introductory Number Theory

By Stoll, Michael

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Book Id: WPLBN0003760806
Format Type: PDF eBook :
File Size:
Reproduction Date: 2015

Title: Introductory Number Theory  
Author: Stoll, Michael
Volume:
Language: English
Subject: Programming, Mathematics, Number Theory
Collections: Technical eBooks and Manuals Collection, Technical Books Center Collection
Historic
Publication Date:
2006
Publisher: Spring

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Stoll, M. (2006). Introductory Number Theory. Retrieved from http://hawaiilibrary.net/


Table of Contents
TOC : Very Basic Remarks -Divisibility - The Euclidean Algorithm - Prime Numbers and Unique Factorization - Congruences - Coprime Integers and Multiplicative Inverses - The Chinese Remainder Theorem - Fermat’s and Euler’s Theorems - Structure of F×p and (Z/pnZ)× - The RSA Cryptosystem - Discrete Logarithms - Quadratic Residues - Quadratic Reciprocity - Another Proof of Quadratic Reciprocity - Sums of Squares - Geometry of Numbers - Ternary Quadratic Forms - Legendre’s Theorem - p-adic Numbers - The Hilbert Norm Residue Symbol - Pell’s Equation and Continued Fractions - Elliptic Curves - Primes in arithmetic progressions - The Prime Number Theorem.

 

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