LEADER 02864nam 22005055 450 001 9910770264703321 005 20251008163521.0 010 $a3-031-42899-4 024 7 $a10.1007/978-3-031-42899-9 035 $a(CKB)29353618100041 035 $a(DE-He213)978-3-031-42899-9 035 $a(MiAaPQ)EBC31051528 035 $a(Au-PeEL)EBL31051528 035 $a(MiAaPQ)EBC31015444 035 $a(Au-PeEL)EBL31015444 035 $a(EXLCZ)9929353618100041 100 $a20231212d2023 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA First Course in Category Theory /$fby Ana Agore 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (XIV, 284 p.) 225 1 $aUniversitext,$x2191-6675 311 08$a9783031428982 320 $aIncludes bibliographical references and index. 327 $a1 Categories and Functors -- 2 -- Limits and Colimits -- 3 Adjoint Functors -- 4 Solutions to Selected Exercises. . 330 $aThis textbook provides a first introduction to category theory, a powerful framework and tool for understanding mathematical structures. Designed for students with no previous knowledge of the subject, this book offers a gentle approach to mastering its fundamental principles. Unlike traditional category theory books, which can often be overwhelming for beginners, this book has been carefully crafted to offer a clear and concise introduction to the subject. It covers all the essential topics, including categories, functors, natural transformations, duality, equivalence, (co)limits, and adjunctions. Abundant fully-worked examples guide readers in understanding the core concepts, while complete proofs and instructive exercises reinforce comprehension and promote self-study. The author also provides background material and references, making the book suitable for those with a basic understanding of groups, rings, modules, topological spaces, and set theory. Based on the author's course at the Vrije Universiteit Brussel, the book is perfectly suited for classroom use in a first introductory course in category theory. Its clear and concise style, coupled with its detailed coverage of key concepts, makes it equally suited for self-study. 410 0$aUniversitext,$x2191-6675 606 $aAlgebra, Homological 606 $aCategory Theory, Homological Algebra 615 0$aAlgebra, Homological. 615 14$aCategory Theory, Homological Algebra. 676 $a512.55 700 $aAgore$b Ana$01460592 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910770264703321 996 $aA First Course in Category Theory$93660374 997 $aUNINA