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Categories, Allegories, Hardcover by Freyd, Peter J.; Scedrov, Andre, Brand N...
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eBay item number:355142383678
Item specifics
- Condition
- Book Title
- Categories, Allegories
- ISBN
- 9780444703682
- Subject Area
- Mathematics
- Publication Name
- Categories, Allegories
- Item Length
- 9.2 in
- Publisher
- Elsevier Science & Technology
- Subject
- Group Theory, Algebra / Abstract, Algebra / General
- Publication Year
- 1990
- Series
- North-Holland Mathematical Library
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Width
- 6.1 in
- 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
Publication Name
Categories, Allegories
Format
Hardcover
Language
English
Subject
Group Theory, Algebra / Abstract, Algebra / General
Publication Year
1990
Series
North-Holland Mathematical Library
Type
Textbook
Subject Area
Mathematics
Number of Pages
293 Pages
Dimensions
Item Length
9.2 in
Item Width
6.1 in
Item Weight
21.6 Oz
Additional Product Features
LCCN
89-008823
Intended Audience
Scholarly & Professional
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
Dewey Decimal
511.3
Dewey Edition
20
Illustrated
Yes
Item description from the seller
Seller assumes all responsibility for this listing.
eBay item number:355142383678
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