The textbook "Abstract Algebra" by Springer is aimed at mathematics students, particularly those focusing on the study of algebra. The first edition was designed to meet the needs of emerging graduates and provides comprehensive, well-formulated proofs in the essential areas of group, ring, field, and module theory. The new edition has been completely revised to optimize the structure and content, with unnecessary materials being trimmed. A new chapter on Ext and Tor, along with additional content on topology, has been added to deepen the understanding of the concepts. The presentation is predominantly abstract; however, key examples are carefully selected to make the complex theories understandable. This book promotes a thorough conceptual understanding of algebra and is thus a valuable teaching resource for students and educators.