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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra A First Course in Category Theory
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A First Course in Category Theory
Ana Agore (Broschiert, 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. 64,19 €
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Technische Daten
Erscheinungsdatum
13.12.2023
Sprache
Englisch
EAN
9783031428982
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Universitext
Sonderedition
Nein
Autor
Ana Agore
Seitenanzahl
284
Einbandart
Broschiert
Autorenporträt
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.
Schlagwörter
Category Theory, Representable functor, Yoneda's lemma, Limit/Colimit, Freyd's adjoint functor theorem, Functor, Equivalence of categories, Adjoint functors, Special adjoint functor theorem
Thema-Inhalt
PBF - Algebra
Höhe
235 mm
Breite
15.5 cm
Hersteller: Palgrave Macmillan, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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