Category Theory has 59 ratings and 3 reviews. Santino said: Went through this book at a rate of one paragraph per week, and even that was too fast. If yo. This text provides a comprehensive reference to category theory, containing exercises, for researchers and graduates in philosophy, mathematics, computer. I bought Steve Awodey’s book Category Theory (Oxford Logic Guides, Clarendon Press, ) when it first came out. Awodey says that his.
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Category theory is a branch of abstract algebra with incredibly diverse applications. This text and reference book is aimed not only at mathematicians, but also researchers and students of computer science, logic, linguistics, cognitive science, philosophy, and any of the other fields in which the ideas are being applied.
Containing clear definitions of the essential concepts, illuminated with numerous accessible examples, and providing full proofs of all important propositions and theorems, this book aims to make the basic ideas, theorems, and methods of category theory understandable to this broad readership.
Although assuming few mathematical pre-requisites, the standard of mathematical rigour is not compromised. The material covered includes the standard core of categories; functors; natural transformations; equivalence; limits and colimits; functor categories; representables; Yoneda’s lemma; adjoints; monads. An extra topic of cartesian closed categories and the lambda-calculus is also provided – a must for computer scientists, logicians and linguists!
This Second Edition contains numerous revisions to the original text, including expanding the exposition, revising and elaborating the proofs, providing additional diagrams, correcting typographical errors and, finally, adding an entirely awovey section on monoidal categories.
Nearly a hundred new exercises have also been added, many with solutions, to make the book more useful as a course text and for self-study. Groups and Categories 5.
Category Theory by Steve Awodey
Limits and Colimits 6. Categories of Diagrams 9.
He is an active researcher in Category Theory and Logic, and has throry and co-authored numerous journal articles. Oxford University Press is a department of the University of Oxford. It furthers the University’s objective of excellence in research, scholarship, and education by publishing worldwide.
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Awodey’s Category Theory: Ch. 1
Category Theory Second Edition Steve Awodey Oxford Logic Guides Important growing area of mathematics Clear definitions of all basic concepts Combines rigour with an appealing informality Contains precise statements of all essential theorems, with full proofs of all theorems, propositions and lemmas Based on courses given at Carnegie Mellon University Numerous exercises provided, includeing nearly a hundred new exercises Worked solutions to almost half the exercises New coverage of monoidal categories New to this Edition: Nearly a hundred new exercises Many more examples and diagrams Worked solutions to almost half the exercises New coverage of monoidal categories.
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