Ana Agore: A First Course in Category Theory

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Cover: 9783031428982 | A First Course in Category Theory | Ana Agore | Taschenbuch | xiv

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Ana Agore is Senior Researcher at the Institute of Mathematics of the Romanian Academy, Romania, and Guest Professor at Vrije Universiteit Brussel, Belgium. Her research covers topics in quantum groups and Hopf algebras, non-associative algebras, group theory and category theory.

Zusammenfassung

Perfectly suited for a first introductory course in category theory

Thoroughly covers fundamentals concepts

Includes concrete examples from familiar mathematics

Inhaltsverzeichnis

1 Categories and Functors.- 2.- Limits and Colimits.- 3 Adjoint Functors.- 4 Solutions to Selected Exercises.

Details

Erscheinungsjahr:	2023
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Seiten:	300
Reihe:	Universitext
Inhalt:	xiv 284 S.
ISBN-13:	9783031428982
ISBN-10:	3031428986
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Agore, Ana
Auflage:	1st ed. 2023
Hersteller:	Springer International Publishing Universitext
Maße:	235 x 155 x 17 mm
Von/Mit:	Ana Agore
Erscheinungsdatum:	13.12.2023
Gewicht:	0,458 kg

preigu-id: 127335634