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＜E-Book＞
A First Course in Category Theory / by Ana Agore
(Universitext. ISSN:21916675)

Edition	1st ed. 2023.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2023
Language	English
Size	XIV, 284 p : online resource
Authors	*Agore, Ana author SpringerLink (Online service)
Subjects	LCSH:Algebra, Homological FREE:Category Theory, Homological Algebra
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-031-42899-9

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