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A Concrete Introduction to Higher Algebra

โœ Scribed by Childs, Lindsay N

Publisher
Springer New York
Year
2008
Tongue
English
Leaves
592
Edition
3rd edition
Category
Library
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โœฆ Table of Contents

Numbers.- Numbers.- Induction.- Euclid's Algorithm.- Unique Factorization.- Congruence.- Congruence classes and rings.- Congruence Classes.- Rings and Fields.- Matrices and Codes.- Congruences and Groups.- Fermat's and Euler's Theorems.- Applications of Euler's Theorem.- Groups.- The Chinese Remainder Theorem.- Polynomials.- Polynomials.- Unique Factorization.- The Fundamental Theorem of Algebra.- Polynomials in ?[x].- Congruences and the Chinese Remainder Theorem.- Fast Polynomial Multiplication.- Primitive Roots.- Cyclic Groups and Cryptography.- Carmichael Numbers.- Quadratic Reciprocity.- Quadratic Applications.- Finite Fields.- Congruence Classes Modulo a Polynomial.- Homomorphisms and Finite Fields.- BCH Codes.- Factoring Polynomials.- Factoring in ?[x].- Irreducible Polynomials.

โœฆ Subjects

Algebra ; SWD-ID: 40011562;Lehrbuch ; SWD-ID: 41236233;Number theory;Number theory--Problems, exercises, etc;Algebra;SWD-ID: 40011562;Lehrbuch;SWD-ID: 41236233;Number theory -- Problems, exercises, etc

๐Ÿ“œ SIMILAR VOLUMES

A Concrete Introduction to Higher Algebr
๐Ÿ“ A Concrete Introduction to Higher Algebra
โœ Lindsay N. Childs (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 1995 ๐Ÿ› Springer-Verlag New York ๐ŸŒ English

<p>This book is written as an introduction to higher algebra for students with a background of a year of calculus. The first edition of this book emerged from a set of notes written in the 1970sfor a sophomore-junior level course at the University at Albany entitled "Classical Algebra." The objectiv