Understanding concepts rather than mere rote memorization is the focus here. Nevertheless, comprehensive foundational knowledge of algebraic structures and number theory is conveyed—essential for any further mathematical education and application. This is achieved through the logical structure of the chapters, featuring a variety of examples, illustrations, and proven exercises. Thus, the book is ideal for self-study alongside lectures and as a guide for educators. Additionally, it provides an initial introduction to the highly relevant field of computer algebra. Ultimately, it fosters the ability to independently understand mathematical content—of great value in further studies, in teaching professions, or in applied mathematics.