Abstract Algebra for Polynomial Operations
by Maya Mohsin Ahmed
Number of pages: 210
The focus of this book is applications of Abstract Algebra to polynomial systems. The first five chapters explore basic problems like polynomial division, solving systems of polynomials, formulas for roots of polynomials, and counting integral roots of equations. The sixth chapter uses the concepts developed in the book to explore coding theory and other applications.
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by Frederick M. Goodman - Semisimple Press
An introduction to modern and abstract algebra at upper undergraduate level and beginning graduate students. The book treats conventional topics: linear algebra, groups, rings, fields, and symmetry as a unifying concept.
by Paul Garrett
The text covers basic algebra of polynomials, induction, sets, counting principles, integers, unique factorization into primes, Sun Ze's theorem, good algorithm for exponentiation, Fermat's little theorem, Euler's theorem, public-key ciphers, etc.
by Peter J. Cameron - Queen Mary, University of London
These notes are intended for an introduction to algebra. The text is intended as a first introduction to the ideas of proof and abstraction in mathematics, as well as to the concepts of abstract algebra (groups and rings).
by W. Edwin Clark - University of South Florida
This book is written as a one semester introduction to abstract algebra. Applications of abstract algebra are not discussed. A certain amount of mathematical maturity, some familiarity with basic set theory, calculus, and linear algebra, is assumed.