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Autore: | Agore Ana |
Titolo: | A First Course in Category Theory / / Ana Agore |
Pubblicazione: | Cham, Switzerland : , : Springer, , [2023] |
©2023 | |
Edizione: | First edition. |
Descrizione fisica: | 1 online resource (XIV, 284 p.) |
Disciplina: | 512.55 |
Soggetto topico: | Categories (Mathematics) |
Nota di bibliografia: | Includes bibliographical references and index. |
Nota di contenuto: | 1 Categories and Functors -- 2 -- Limits and Colimits -- 3 Adjoint Functors -- 4 Solutions to Selected Exercises. . |
Sommario/riassunto: | 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. |
Titolo autorizzato: | A First Course in Category Theory |
ISBN: | 3-031-42899-4 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910770264703321 |
Lo trovi qui: | Univ. Federico II |
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