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A first course in category theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	A first course in category theory/ by Ana Agore.
Author:	Agore, Ana.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	xiv, 284 p. :ill., digital ;24 cm.
[NT 15003449]:	1 Categories and Functors -- 2 -- Limits and Colimits -- 3 Adjoint Functors -- 4 Solutions to Selected Exercises.
Contained By:	Springer Nature eBook
Subject:	Categories (Mathematics) -
Online resource:	https://doi.org/10.1007/978-3-031-42899-9
ISBN:	9783031428999

A first course in category theory
Agore, Ana.

A first course in category theory[electronic resource] /by Ana Agore. - Cham :Springer International Publishing :2023. - xiv, 284 p. :ill., digital ;24 cm. - Universitext,2191-6675. - Universitext..

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.

ISBN: 9783031428999

Standard No.: 10.1007/978-3-031-42899-9doiSubjects--Topical Terms:

525955
Categories (Mathematics)

LC Class. No.: QA169

Dewey Class. No.: 512.62

A first course in category theory
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245 1 2 $a A first course in category theory $h [electronic resource] / $c by Ana Agore.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a xiv, 284 p. : $b ill., digital ; $c 24 cm.
490 1 $a Universitext, $x 2191-6675
505 0 $a 1 Categories and Functors -- 2 -- Limits and Colimits -- 3 Adjoint Functors -- 4 Solutions to Selected Exercises.
520 $a 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.
650 0 $a Categories (Mathematics) $3 525955
650 1 4 $a Category Theory, Homological Algebra. $3 899944
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950 $a Mathematics and Statistics (SpringerNature-11649)