This is a book of problems in abstract algebra for strong undergraduates or beginning graduate students. It can be used as a supplement to a course or for self-study. The book provides more variety and more challenging problems than are found in most algebra textbooks. It is intended for students wanting to enrich their learning of mathematics by tackling problems that take some thought and effort to solve. The book contains problems on groups (including the Sylow Theorems, solvable groups, presentation of groups by generators and relations, and structure and duality for finite abelian groups); rings (including basic ideal theory and factorization in integral domains and Gauss's Theorem); linear algebra (emphasizing linear transformations, including canonical forms); and fields (including Galois theory). Hints to many problems are also included.
This is an in-depth introduction to abstract algebra.
Soyut cebire giriş
A comprehensive undergraduate-level text on abstract algebra, this book allows students to begin their exploration of groups in an environment that is patently non-commutative.
Students - even students who have done very well in calculus - often have trouble with abstract algebra. Our objective in writing this book is to make abstract algebra as accessible as elementary calculus and, we hope, a real joy to study.
Elements of Modern Algebra
Reflects the authors' belief that readers should be given some insight into the the main themes of abstract algebra, as well as an understanding of how these themes provide a unifying framework for the study of basic algebra structures, ...
New co-author Neal Brand has revised this classic text carefully and thoughtfully, drawing on years of experience teaching the course with this text to produce a meaningful and worthwhile update.
This text introduces readers to the algebraic concepts of group and rings, providing a comprehensive discussion of theory as well as a significant number of applications for each.
A First Course in Abstract Algebra
Soyut cebir: özel konular