Abstract Algebra: Theory and Applications
by Thomas Judson
Publisher: Virginia Commonwealth University Mathematics 2009
Number of pages: 428
This text is intended for a one- or two-semester undergraduate course in abstract algebra and covers the traditional theoretical aspects of groups, rings, and fields. Many applications are included, including coding theory and cryptography. The nature of the exercises ranges over several categories; computational, conceptual, and theoretical problems are included.
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by D. S. Malik, John N. Mordeson, M.K. Sen - Creighton University
This book is intended for a one-year introductory course in abstract algebra with some topics of an advanced level. We give a rigorous treatment of the fundamentals of abstract algebra with numerous examples to illustrate the concepts.
by Anthony W. Knapp - Birkhäuser
This book includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry.
by Marcel B. Finan - Arkansas Tech University
Contents: Concept of a Mapping; Composition; Binary Operations; Composition of Mappings as a Binary Operation; Definition and Examples of Groups; Permutation Groups; Subgroups; Symmetry Groups; Equivalence Relations; The Division Algorithm; 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.