Category Theory For The Sciences

Author: David I. Spivak
Publisher: MIT Press
ISBN: 0262028131
Size: 19.14 MB
Format: PDF, ePub
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4.5 Databases: schemas and instances -- Chapter 5 - Basic Category Theory -- 5.1 Categories and functors -- 5.2 Common categories and functors from pure math -- 5.3 Natural transformations -- 5.4 Categories and schemas are equivalent -- ...

Category Theory For The Sciences

Author: David I. Spivak
Publisher: MIT Press
ISBN: 0262320533
Size: 40.97 MB
Format: PDF, Kindle
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This book shows that category theory can be useful outside of mathematics as a rigorous, flexible, and coherent modeling language throughout the sciences.

Basic Category Theory For Computer Scientists

Author: Benjamin C. Pierce
Publisher: MIT Press
ISBN: 9780262660716
Size: 18.42 MB
Format: PDF, Kindle
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Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed ...

An Introduction To Category Theory

Author: Harold Simmons
Publisher: Cambridge University Press
ISBN: 1139503324
Size: 11.26 MB
Format: PDF, ePub
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Beginning postgraduate mathematicians will find this book an excellent introduction to all of the basics of category theory.

Conceptual Mathematics

Author: F. William Lawvere
Publisher: Cambridge University Press
ISBN: 0521894859
Size: 67.30 MB
Format: PDF
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This book provides a skeleton key that makes explicit some concepts and procedures that are common to all branches of pure and applied mathematics.

Category Theory

Author: Steve Awodey
Publisher: Oxford University Press
ISBN: 0199587361
Size: 47.60 MB
Format: PDF, Mobi
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Useful for self-study and as a course text, the book includes all basic definitions and theorems (with full proofs), as well as numerous examples and exercises.

Categories For The Working Mathematician

Author: Saunders Mac Lane
Publisher: Springer Science & Business Media
ISBN: 1475747217
Size: 78.91 MB
Format: PDF, ePub, Docs
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An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality.

Categories And Computer Science

Author: R. F. C. Walters
Publisher: Cambridge University Press
ISBN: 9780521422260
Size: 46.52 MB
Format: PDF, Kindle
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Category Theory has, in recent years, become increasingly important and popular in computer science, and many universities now introduce Category Theory as part of the curriculum for undergraduate computer science students.

Sets For Mathematics

Author: F. William Lawvere
Publisher: Cambridge University Press
ISBN: 9780521010603
Size: 78.21 MB
Format: PDF, ePub, Docs
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In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.