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Focusing on the unification of diverse mathematical fields, this book introduces the core concepts of category theory, making it accessible to readers with a foundational understanding of set theory and algebra. The text, revised from its original German edition, emphasizes a concise presentation of material, where definitions precede illustrative examples. Readers are encouraged to engage with the abstract axiomatic approach and to develop their understanding of key concepts, fostering self-explanation and recognition of underlying motivations.