An Undergraduate Course on Abstract Algebra

Abstract algebra is the language of symmetry and one of the cornerstones of modern mathematics. This book offers a clear, structured, and rigorous introduction to two of its most fundamental topics: group theory and ring theory. Designed for undergraduate students, it connects concrete examples with abstract ideas, helping readers build a strong conceptual foundation while developing confidence in proofs and problem-solving. From basic structures such as ((Z, +)) to symmetric groups, matrix groups, quotient groups, homomorphisms, integral domains, and ring isomorphisms, the text guides learners step by step through the essential concepts of abstract algebra. With detailed proofs, solved exercises, multiple-choice and true/false questions, practical sections for hands-on learning, and historical insights into the mathematicians who shaped the field, this book is both an accessible learning companion and a valuable exam-preparation resource. Whether you are studying abstract algebra for the first time or strengthening your understanding of its core ideas, this book provides the clarity, structure, and practice needed to succeed. Read more