The style and structure of Concepts in Abstract Algebra are designed to help students learn the core concepts and associated techniques in algebra deeply and well. Providing a fuller and richer account of material than time allows in a lecture, this text presents interesting examples of sufficient complexity so that students can see the concepts and results used in a nontrivial setting. Charles Lanski gives students the opportunity to practice by offering many exercises that require the use and synthesis of the techniques and results. Both readable and mathematically interesting, the text also helps students learn the art of constructing mathematical arguments. Overall, students discover how mathematics proceeds and how to use techniques that mathematicians actually employ.

0.revuew 1.preliminaries 2.groups 3.special groups 4.subgroups 5.normal subgroups and quotients 6.morphisms 7.structure theorems 8.conjugation 9.group actions 10.rings 11.ideals,quitients,and homomorphisms 12.factorization in integral domains 13.commutative rings 14.fields 15.galois theory

Charles Lanski is Professor of Mathematics at the University of Southern California.

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