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Categories, Allegories, Hardcover by Freyd, Peter J.; Scedrov, Andre, Brand N...

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
Book Title
Categories, Allegories
ISBN
9780444703682
Publication Year
1990
Series
North-Holland Mathematical Library
Type
Textbook
Format
Hardcover
Language
English
Publication Name
Categories, Allegories
Author
P. J. Freyd, A. Scedrov
Item Length
9.2in
Publisher
Elsevier Science & Technology
Item Width
6.1in
Item Weight
21.6 Oz
Number of Pages
293 Pages

About this product

Product Information

General concepts and methods that occur throughout mathematics - and now also in theoretical computer science - are the subject of this book. It is a thorough introduction to Categories, emphasizing the geometric nature of the subject and explaining its connections to mathematical logic. The book should appeal to the inquisitive reader who has seen some basic topology and algebra and would like to learn and explore further. The first part contains a detailed treatment of the fundamentals of Geometric Logic, which combines four central ideas: natural transformations, sheaves, adjoint functors, and topoi. A special feature of the work is a general calculus of relations presented in the second part. This calculus offers another, often more amenable framework for concepts and methods discussed in part one. Some aspects of this approach find their origin in the relational calculi of Peirce and Schroeder from the last century, and in the 1940's in the work of Tarski and others on relational algebras. The representation theorems discussed are an original feature of this approach.

Product Identifiers

Publisher
Elsevier Science & Technology
ISBN-10
0444703683
ISBN-13
9780444703682
eBay Product ID (ePID)
246677

Product Key Features

Author
P. J. Freyd, A. Scedrov
Publication Name
Categories, Allegories
Format
Hardcover
Language
English
Publication Year
1990
Series
North-Holland Mathematical Library
Type
Textbook
Number of Pages
293 Pages

Dimensions

Item Length
9.2in
Item Width
6.1in
Item Weight
21.6 Oz

Additional Product Features

Series Volume Number
Volume 39
Lc Classification Number
Qa169.F73 1989
Volume Number
Volume 39
Reviews
H. Nishimura The book should be of interest to category theorists, mathematical logicians and theoretical computer scientists. Zentralblatt fur Mathematik, The book should be of interest to category theorists, mathematical logicians and theoretical computer scientists. Zentralblatt fur Mathematik H. Nishimura.
Table of Content
Categories. Basic Definitions. Basic Examples and Constructions. Equivalence of Categories. Cartesian Categories. Regular Categories. Pre-Logoi. Logoi. Adjoint Functors, Grothendieck Topoi, and Exponential Categories. Topoi. Sconing. Allegories. Basic Definitions. Distributive Allegories. Division Allegories. Power Allegories. Quotient Allegories. Appendices. Subject Index.
Copyright Date
1990
Target Audience
Scholarly & Professional
Topic
Group Theory, Algebra / Abstract, Algebra / General
Lccn
89-008823
Dewey Decimal
511.3
Dewey Edition
20
Illustrated
Yes
Genre
Mathematics

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