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An introduction to category theory / Harold Simmons

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Cambridge : Cambridge University Press, 2011Description: 1 Online-Ressource (ix, 226 pages) : digital, PDF file(s)ISBN:
  • 9780511863226
Subject(s): Additional physical formats: 9781107010871. | 9780521283045. | Erscheint auch als: An introduction to category theory. Druck-Ausgabe Cambridge [u.a.] : Cambridge Univ. Press, 2011. IX, 226 S.DDC classification:
  • 512/.62 23
MSC: MSC: *18-01LOC classification:
  • QA169
DOI: DOI: 10.1017/CBO9780511863226Online resources: Summary: Category theory provides a general conceptual framework that has proved fruitful in subjects as diverse as geometry, topology, theoretical computer science and foundational mathematics. Here is a friendly, easy-to-read textbook that explains the fundamentals at a level suitable for newcomers to the subject. Beginning postgraduate mathematicians will find this book an excellent introduction to all of the basics of category theory. It gives the basic definitions; goes through the various associated gadgetry, such as functors, natural transformations, limits and colimits; and then explains adjunctions. The material is slowly developed using many examples and illustrations to illuminate the concepts explained. Over 200 exercises, with solutions available online, help the reader to access the subject and make the book ideal for self-study. It can also be used as a recommended text for a taught introductory courseSummary: Machine generated contents note: Preface; 1. Categories; 2. Basic gadgetry; 3. Functors and natural transformations; 4. Limits and colimits in general; 5. Adjunctions; 6. Posets and monoid sets; Bibliography; IndexPPN: PPN: 883403552Package identifier: Produktsigel: ZDB-20-CTM | ZDB-20-CBO
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