02742nam 2200493 450 991077026470332120240119114117.03-031-42899-410.1007/978-3-031-42899-9(CKB)29353618100041(DE-He213)978-3-031-42899-9(MiAaPQ)EBC31051528(Au-PeEL)EBL31051528(MiAaPQ)EBC31015444(Au-PeEL)EBL31015444(EXLCZ)992935361810004120240119d2023 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierA First Course in Category Theory /Ana AgoreFirst edition.Cham, Switzerland :Springer,[2023]©20231 online resource (XIV, 284 p.) Universitext Series9783031428982 Includes bibliographical references and index.1 Categories and Functors -- 2 -- Limits and Colimits -- 3 Adjoint Functors -- 4 Solutions to Selected Exercises. .This textbook provides a first introduction to category theory, a powerful framework and tool for understanding mathematical structures. Designed for students with no previous knowledge of the subject, this book offers a gentle approach to mastering its fundamental principles. Unlike traditional category theory books, which can often be overwhelming for beginners, this book has been carefully crafted to offer a clear and concise introduction to the subject. It covers all the essential topics, including categories, functors, natural transformations, duality, equivalence, (co)limits, and adjunctions. Abundant fully-worked examples guide readers in understanding the core concepts, while complete proofs and instructive exercises reinforce comprehension and promote self-study. The author also provides background material and references, making the book suitable for those with a basic understanding of groups, rings, modules, topological spaces, and set theory. Based on the author's course at the Vrije Universiteit Brussel, the book is perfectly suited for classroom use in a first introductory course in category theory. Its clear and concise style, coupled with its detailed coverage of key concepts, makes it equally suited for self-study.Universitext.Categories (Mathematics)Categories (Mathematics)512.55Agore Ana1460592MiAaPQMiAaPQMiAaPQBOOK9910770264703321A First Course in Category Theory3660374UNINA