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Download Abstract and Concrete Categories: The Joy of Cats (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) fb2, epub

by Horst Herrlich,George E. Strecker,Jiri Adamek

Download Abstract and Concrete Categories: The Joy of Cats (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) fb2, epub

ISBN: 0471609226
Author: Horst Herrlich,George E. Strecker,Jiri Adamek
Language: English
Publisher: Wiley-Interscience; 1 edition (April 1990)
Pages: 482
Category: Mathematics
Subcategory: Science
Rating: 4.8
Votes: 749
Size Fb2: 1747 kb
Size ePub: 1606 kb
Size Djvu: 1900 kb
Other formats: lrf mbr azw lrf


Abstract and concrete categories by Jiří Adámek, Jiri Adamek, Horst Herrlich, George E. Strecker, April 1990, John Wiley & Sons . July 31, 2019 History.

July 31, 2019 History. 1 2 3 4 5. Want to Read.

Pure and Applied Mathematics A Wiley-Interscience Series of Texts, Monographs and Tracts) Jiri Adamek, Horst Herrlich, George E. Strecker – Abstract and concrete categories the joy of cats-Wiley-In.

Jirí Adámek, Horst Herrlich, George E. Strecker. Concrete Categories and Concrete Functors. Natural Transformations. Objects and morphisms. Categories, functors, and natural transformations. Categories and Functors. Objects and Morphisms in Abstract Categories. Objects and Morphisms in Concrete Categories. Injective Objects and Essential Embeddings.

Concrete categories and concrete functors. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version . or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.

Moving from the concrete to the abstract, Topology and Its Applications displays .

This book is the first of its kind to present applications in computer graphics, economics, dynamical systems, condensed matter physics, biology, robotics, chemistry, cosmology, material science, computational topology, and population modeling, as well as other areas of science and engineering. Many of these applications are presented in optional sections, allowing an instructor to customize the presentation.

Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts). Unique to this book is the emphasis on concrete categories. Also noteworthy is the systematic treatment of factorization structures, which gives a new, unifying perspective to earlier w (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts).

Its unique approach stresses concrete categories and presents a. .Numerous examples, ranging from general to specific, illuminate the text

Its unique approach stresses concrete categories and presents a systematic view of factorization structures, offering a unifying perspective on earlier work and summarizing recent developments. Numerous examples, ranging from general to specific, illuminate the text. Categories: Technique\Construction. Издание: free web version. Series: Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts. File: PDF, . 2 MB. Читать онлайн.

In mathematics, in the framework of one-universe foundation for category theory . Abstract and Concrete Categories: The Joy of Cats (PDF).

In mathematics, in the framework of one-universe foundation for category theory, the term "conglomerate" is applied to arbitrary sets as a contraposition to the distinguished sets that are elements of a Grothendieck universe. to apply the term "conglomerate" to all sets (not necessary elements or subsets of. U {displaystyle U}. ). As a result, in this terminology, each set is a class, and each class is a conglomerate. pp. 13, 15, 16, 259. ISBN 978-0-486-46934-8.

Contents: Introduction; Categories, Functors, and Natural Transformations; Objects and Morphisms; Sources and . Skip to main content. This banner text can have markup. Dear Internet Archive Supporters, Thank you for helping us reach our fundraising goal.

Contents: Introduction; Categories, Functors, and Natural Transformations; Objects and Morphisms; Sources and Sinks; Factorization Structures; Adjoints an. You keep us going and growing – with your support we will do even more in 2020. Happy New Year! –The Internet Archive Team.

Abstract and Concrete Categories: The Joy of Cats Jiri Adamek, Horst Herrlich, George Strecker John Wiley & Sons, Published in 1990, 496 pages

Abstract and Concrete Categories: The Joy of Cats Jiri Adamek, Horst Herrlich, George Strecker John Wiley & Sons, Published in 1990, 496 pages. Lectures on Fundamental Concepts of Algebra and Geometry John Wesley Young Macmillan and c. Published in 1917, 264 pages. Mathematics for the Physical Sciences Leslie Copley De Gruyter Open, Published in 2014, 446 pages.

A modern introduction to the theory of structures via the language of category theory. Unique to this book is the emphasis on concrete categories. Also noteworthy is the systematic treatment of factorization structures, which gives a new, unifying perspective to earlier work and summarizes recent developments. Each categorical notion is accompanied by many examples, usually moving from special cases to more general cases. Comprises seven chapters; the first five present the basic theory, while the last two contain more recent re in the realm of concrete categories, cartesian closed categories and quasitopoi. The prerequisite is an elementary knowledge of set theory. Contains exercises.

Comments:

Thomand
Good book
Quinthy
This book is very well typeset. It looks very attractive to read.

About the things covered, this book is pretty comprehensive on the topic of categories. However, even with numerous good examples, some more explanations on the concept will definitely be preferred. For example, Yoneda's lemma is presented here as a corollary of a result whose proof is very short. Although the proof is logically presented with clarity, it makes not much sense why someone would have thought of it in the first place.

One problem I think worth mentioning is the proof of the equivalence of three conditions about concrete reflexive subcategories. In the proof, images of morphisms (under some functors) are written the same as the morphisms themselves, making the proof difficult to follow. And because all the proofs before that one are all very clear, it raises some doubt whether this particular proof is erroneous.

That said, I really appreciate authors' intention to make the book seem easy. A lot of examples definitely are useful. I only wish that, through experience, the authors would add some suggestions on how one might think about entities under discussions. (Examples: Categories as generalized monoids => Functors as generalized monoid homomorphisms. Functors as diagrams => Natural transformations as structure-preserving diagram transformations.)

P.S. This book is available online for free but I bought it anyway.
Vizuru
It's a little bit too much for me. Slews of definitions and symbol manipulation, little insight into the theory.

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