History of Abstract Algebra

This exposition provides a comprehensive historical account of the intellectual lineage behind the basic concepts, results, and theories of abstract algebra. Abstract algebra came into existence largely because mathematicians were unable to solve classical problems by classical means. A major theme of this book is to demonstrate how abstract algebra can illuminate the solution to some of these concrete problems. The book may serve as a primary text for a course on the history of modern algebra, or as a supplemental text for an abstract algebra course or a more general course on the history of mathematics. Additionally, graduate students studying to become mathematics instructors or existing math teachers will find the work particularly useful as a guide for designing a course in abstract algebra inspired by history. Finally, algebraists and historians of science will find the book a valuable reference.