Indexed Categories and Their Applications

Indexed Categories and Their Applications PDF Author: P.I. Johnstone
Publisher: Springer
ISBN: 3540357629
Category : Mathematics
Languages : en
Pages : 271

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Indexed Categories and Their Applications

Indexed Categories and Their Applications PDF Author: P.I. Johnstone
Publisher: Springer
ISBN: 3540357629
Category : Mathematics
Languages : en
Pages : 271

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Book Description


Basic Concepts of Enriched Category Theory

Basic Concepts of Enriched Category Theory PDF Author: Gregory Maxwell Kelly
Publisher: CUP Archive
ISBN: 9780521287029
Category : Mathematics
Languages : en
Pages : 260

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Categories for the Working Mathematician

Categories for the Working Mathematician PDF Author: Saunders Mac Lane
Publisher: Springer Science & Business Media
ISBN: 1475747217
Category : Mathematics
Languages : en
Pages : 320

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Book Description
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. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.

An Invitation to Applied Category Theory

An Invitation to Applied Category Theory PDF Author: Brendan Fong
Publisher: Cambridge University Press
ISBN: 1108482295
Category : Computers
Languages : en
Pages : 351

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Book Description
Category theory reveals commonalities between structures of all sorts. This book shows its potential in science, engineering, and beyond.

Programming Visual Basic for Palm OS

Programming Visual Basic for Palm OS PDF Author: Matthew Holmes
Publisher: "O'Reilly Media, Inc."
ISBN: 9780596002008
Category : Computers
Languages : en
Pages : 436

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Book Description
Explains how to design and code great applications for Palm-compatible devices using VB, one of the world's most popular programming languages

Combinatorial Mathematics

Combinatorial Mathematics PDF Author: D. A. Holton
Publisher: Springer
ISBN: 3540357025
Category : Mathematics
Languages : en
Pages : 364

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Foundations of Software Science and Computation Structures

Foundations of Software Science and Computation Structures PDF Author: Wolfgang Thomas
Publisher: Springer
ISBN: 3540490191
Category : Computers
Languages : en
Pages : 334

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Book Description
This book constitutes the refereed proceedings of the Second International Conference on Foundations of Software Science and Computation Structures, FOSSACS '99, held in Amsterdam, The Netherlands in March 1999 as part of ETAPS'99. The 18 revised full papers presented were carefully selected from a total of 40 submissions. Also included are three invited papers. The central issues of the papers are theories and methods which suport the specification, transformation, verification and analysis of programs and software systems.

Algebraic Geometry

Algebraic Geometry PDF Author: L. D. Olson
Publisher: Springer
ISBN: 3540356886
Category : Mathematics
Languages : en
Pages : 253

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Global Analysis

Global Analysis PDF Author: M. Grmela
Publisher: Springer
ISBN: 3540384626
Category : Mathematics
Languages : en
Pages : 386

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Geometrical Approaches to Differential Equations

Geometrical Approaches to Differential Equations PDF Author: R. Martini
Publisher: Springer
ISBN: 354038166X
Category : Mathematics
Languages : en
Pages : 350

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Book Description