Algebra By Michael Artin

The text emphasizes on concrete mathematics and has a strong linear algebraic approach. Giving a concise account of deverse topics such as vector spaces, matrices, modules, group rings, linear transformations etc., the text also includes topics like symmetry, linear groups, group representations and quadratic number fields. The author presents numerous examples before giving abstract definitions and illustrates their applications. Chapter-end exercises are designed to reinforce the understanding of these concepts. Most of the book is devoted to working out interesting special cases or applications of theory.