Categories for the Working Mathematician

כריכה קדמית
Springer, 25 בספט 1998 - 314 עמודים
6 ביקורות
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 functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterized by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including two new chapters on topics of active interest. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into prominence. The bibliography has also been expanded to cover some of the many other recent advances concerning categories.

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Review: Categories for the Working Mathematician

ביקורת משתמש  - Tyler Weir - Goodreads

Part of the RedditU course on Category Theory. קרא סקירה מלאה

Review: Categories for the Working Mathematician

ביקורת משתמש  - Steve Miller - Goodreads

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 ... קרא סקירה מלאה

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notes on: Categories for the Working Mathematician
Categories for the Working Mathematician. by Saunders Mac Lane. CONTENTS. Chap, Section, Title. Introduction. I, Categories, Functors and Natural ...
www.rbjones.com/ rbjpub/ philos/ bibliog/ macla71.htm

Categories for the Working Mathematician - Wikipedia, the free ...
Categories for the Working Mathematician is a textbook in category theory written by American mathematician Saunders Mac Lane, who cofounded the subject ...
en.wikipedia.org/ wiki/ Categories_for_the_Working_Mathematician

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, ...
c2.com/ cgi/ wiki?CategoriesForTheWorkingMathematician

Categories for the working mathematician: making the impossible ...
Categories for the working mathematician (2nd ed.). New York: Springer Verlag. Mueller, I. (2003). Remark on Euclid’s Elements I, 32 and the parallel ...
www.springerlink.com/ index/ n61296kl86773277.pdf

Krzysztof Ciesielski: Set Theory for the Working Mathematician; a ...
The title is also an invitation to compare the book with Mac Lane's Categories for the Working Mathematician . I will come back to this at the end of this ...
at.yorku.ca/ t/ o/ p/ c/ 62.htm

Convexity in the theory of lattice gases, by Robert B. Israel ...
S. Mac Lane, Categories for the working mathematician, Springer-Verlag, Berlin and New. York, 1971. 15. B. Mitchell, Theory of categories, Academic Press, ...
projecteuclid.org/ DPubS/ Repository/ 1.0/ Disseminate?handle=euclid.bams/ 1183544905& view=body& content-type=pdf_1

Blogging for the Working Mathematician
The title is in homage to the classic text "Categories for the Working Mathematician" by Saunders Mac Lane. This book was where I discovered the language of ...
workingmathematician.blogspot.com/

Saunders Mac Lane, Mathematician, 1909-2005
Consequently, Mac Lane titled his introductory book to the field Categories for the Working Mathematician. Peter Johnstone, professor of the foundations of ...
www-news.uchicago.edu/ releases/ 05/ 050421.maclane.shtml

The lecture hall
Textbook: S. Mac Lane, Categories for the Working Mathematician, 2nd. ed., Springer, ISBN 0-387-98403-8. Spring 2005:. Mathematics 567: Boolean Algebra ...
orion.math.iastate.edu/ jdhsmith/ class/ class_index.htm

The Structures of Reality: Truth, Invariance and Scientific ...
"Adjunction", Categories for the Working Mathematician Topos Barr and Wells. Category Theory for Computer Science Fourman, Michael. ...
www.mmsysgrp.com/ stefanik.htm

אודות המחבר (1998)

Biography of Saunders Mac Lane

Saunders Mac Lane was born on August 4, 1909 in Connecticut. He studied at Yale University and then at the University of Chicago and at Gttingen, where he received the D.Phil. in 1934. He has tought at Harvard, Cornell and the University of Chicago.

Mac Lane's initial research was in logic and in algebraic number theory (valuation theory). With Samuel Eilenberg he published fifteen papers on algebraic topology. A number of them involved the initial steps in the cohomology of groups and in other aspects of homological algebra - as well as the discovery of category theory. His famous and undergraduate textbook Survey of modern algebra, written jointly with G. Birkhoff, has remained in print for over 50 years. Mac Lane is also the author of several other highly successful books.

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