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Categories for the Working Mathematician
Categories for the Working Mathematician provides 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. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of fun...more
Hardcover, 332 pages
Published
September 25th 1998
by Springer
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Apr 12, 2011
Joecolelife
rated it
5 of 5 stars
Recommended to Joecolelife by:
www.CocoMartini.com
Shelves:
college-textbooks
Well, let us think about this a little bit...You want to learn Category theory, whether for some course or just for the fun of it, and now where do you turn in order to learn the necessary concepts. If you are a mathematician and have some experience, then you turn to the masters, the originators of the given subject and read their work. Sure, being the founder of a given subject does not imply that you are a good expositor and hence are capable of revealing the necessary concepts for the beginn...more
Dec 26, 2010
Marco
rated it
3 of 5 stars
·
review of another edition
Shelves:
mathematics,
commented
Il libro definitivo sulla Teoria delle Categorie: non il migliore, il più chiaro o il più completo o profondo, ma, semplicemente il testo definitivo, la pietra miliare.
Difficile in quanto affronta il concetto di categoria come struttura algebrica, spesso lasciando in secondo piano le applicazioni dirette che ne forniscono le giustificazioni e l'intuizione. Gli esempi presuppongono una ottima cultura matematica: si tratta decisamente di un testo per matematici professionisti, inadatto anche agli...more
Difficile in quanto affronta il concetto di categoria come struttura algebrica, spesso lasciando in secondo piano le applicazioni dirette che ne forniscono le giustificazioni e l'intuizione. Gli esempi presuppongono una ottima cultura matematica: si tratta decisamente di un testo per matematici professionisti, inadatto anche agli...more
Mar 18, 2008
Steve Miller
rated it
5 of 5 stars
Recommends it for:
Dreamers and Schemers
Shelves:
math
Holy Crap! Everything you ever wanted to know about category theory in one astoundingly clear and concise book. This is truly one stop shopping for category theorists and it has been a good friend during my thesis writing. I was just now thumbing through for the specifics on enriched categories when I felt a serious appreciation for this book. I highly recommend "Categories for the Working Mathematician" not only to my fellow working mathematicians but also to anyone with an interest in higher m...more
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