- Paperback: 528 pages
- Publisher: Dover Publications Inc. (3 Aug 2009)
- Language English
- ISBN-10: 0486469344
- ISBN-13: 978-0486469348
- Product Dimensions: 23.1 x 15.5 x 2.5 cm
-
Amazon Bestsellers Rank:
1,002,051 in Books (See Top 100 in Books)
- #18 in Books > Scientific, Technical & Medical > Mathematics > Mathematical Theory > Set Theory
- #100 in Books > Science & Nature > Mathematics > Mathematical Foundations > Set Theory
- See Complete Table of Contents
| |||||||||||||||
 Trade In this Item for up to £6.30
Get an extra £5 when you trade in books worth £10 or more until June 30, 2012. Trade in Abstract and Concrete Categories: The Joy of Cats (Dover Books on Mathematics) for an Amazon.co.uk gift card of up to £6.30, which you can then spend on millions of items across the site. Trade-in values may vary (terms apply). Find more products eligible for trade-in.
|
Product details |
More About the Author
Product Description
Product Description
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 research results in the realm of concrete categories, cartesian closed categories and quasitopoi. The prerequisite is an elementary knowledge of set theory. Contains exercises.
--This text refers to an out of print or unavailable edition of this title.
Tag this product(What's this?)Think of a tag as a keyword or label you consider is strongly related to this product.
Tags will help all customers organise and find favourite items. |
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Reviews
There are no customer reviews yet on Amazon.co.uk.
5 star
4 star
3 star
2 star
1 star
Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com:
1 review
9 of 12 people found the following review helpful
Easy-looking Text
28 Jun 2010
Format:Paperback|Amazon Verified Purchase
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.
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.
Was this review helpful?
Let us know
Listmania!
Look for similar items by category
Look for similar items by subject
Feedback
- Would you like to update product info or give feedback on images?
- I am the Author, and I want to comment on my book.
- I am the Publisher, and I want to comment on this book.
|
