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Intro Abstract Algebra 2

By Garrett, Paul

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Book Id: WPLBN0003761303
Format Type: PDF eBook :
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Reproduction Date: 2015

Title: Intro Abstract Algebra 2  
Author: Garrett, Paul
Volume:
Language: English
Subject: Programming, Mathematics, Theory
Collections: Technical eBooks and Manuals Collection, Technical Books Center Collection
Historic
Publication Date:
1998
Publisher: Technical Books Center

Citation

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Garrett, P. (1998). Intro Abstract Algebra 2. Retrieved from http://hawaiilibrary.net/


Description
Description: This note covers the following topics: Basic Algebra of Polynomials, Induction and the Well ordering Principle, Sets, Some counting principles, The Integers, Unique factorization into primes, Prime Numbers, Sun Ze's Theorem, Good algorithm for exponentiation, Fermat's Little Theorem, Euler's Theorem, Primitive Roots, Exponents, Roots, Vectors and matrices, Motions in two and three dimensions, Permutations and Symmetric Groups, Groups: Lagrange's Theorem, Euler's Theorem, Rings and Fields, Cyclotomic polynomials, Primitive roots, Group Homomorphisms, Cyclic Groups, Carmichael numbers and witnesses, More on groups, Finite fields, Linear Congruences, Systems of Linear Congruences, Abstract Sun Ze Theorem and Hamiltonian Quaternions.

Table of Contents
TOC: Basic Algebra of Polynomials - Induction and the Well-ordering Principle - Sets - Some counting principles - The Integers - Unique factorization into primes - Prime Numbers - Sun Ze's Theorem - Good algorithm for exponentiation - Fermat's Little Theorem - Euler's Theorem, Primitive Roots, Exponents, Roots - Public-Key Ciphers - Pseudoprimes and Primality Tests - Vectors and matrices - Motions in two and three dimensions - Permutations and Symmetric Groups - Groups: Lagrange's Theorem, Euler's Theorem - Rings and Fields: de nitions and rst examples - Cyclotomic polynomials - Primitive roots - Group Homomorphisms - Cyclic Groups - Carmichael numbers and witnesses - More on groups - Finite elds - Linear Congruences - Systems of Linear Congruences - Abstract Sun Ze Theorem - The Hamiltonian Quaternions - More about rings - Tables.

 

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