by F. Oggier
Publisher: Nanyang Technological University 2010
Number of pages: 129
Contents: Group Theory (Groups and subgroups, The isomorphism theorems); Ring Theory (Rings, ideals and homomorphisms); Field Theory (Field extension and minimal polynomial); Galois Theory (Galois group and fixed fields).
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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 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.
by Maya Mohsin Ahmed
The focus of this book is applications of Abstract Algebra to polynomial systems. It explores basic problems like polynomial division, solving systems of polynomials, formulas for roots of polynomials, counting integral roots of equations, etc.
by Peter J. Cameron - Queen Mary, University of London
After a short introductory chapter consisting mainly of reminders about such topics as functions, equivalence relations, matrices, polynomials and permutations, the notes fall into two chapters, dealing with rings and groups respectively.