# Mathematician:Saunders Mac Lane

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## Contents

## Mathematician

American mathematician who cofounded category theory with Samuel Eilenberg.

Introduced the diagrammatic approach to mathematics, in particular pioneering the use of commutative diagrams.

## Nationality

American

## History

- Born: 4 August 1909, Taftville, Connecticut
- 1930: BA from Yale University
- 1931: MA from University of Chicago
- 1931 - 33: attended University of Göttingen
- 1934: awarded Ph.D. by Göttingen's Mathematisches Institut
- Died: 14 April 2005, San Francisco

## Theorems and Definitions

## Publications

- 1941:
*A Survey of Modern Algebra*(with Garrett Birkhoff) - 1948:
*Groups, Categories and Duality*(*Proceedings of the Nat. Acad. of Sciences of the USA***Vol. 34**: pp. 263 – 267) - 1945:
*Relations between homology and homotopy groups of spaces*(*Annals of Mathematics***Vol. 46**: pp. 480 – 509) (with Samuel Eilenberg) - 1950:
*Relations between homology and homotopy groups of spaces. II*(*Annals of Mathematics***Vol. 51**: pp. 514 – 533) (with Samuel Eilenberg) - 1963:
*Homology* - 1965:
*A Brief Survey of Modern Algebra*(with Garrett Birkhoff) (second revised edition of*A Survey of Modern Algebra*from $1941$) - 1967:
*Algebra*(with Garrett Birkhoff) - 1971:
*Categories for the Working Mathematician* - 1986:
*Mathematics, Form and Function* - 1992:
*Sheaves in Geometry and Logic: A First Introduction to Topos Theory*(with Ieke Moerdijk) - 2005:
*Saunders Mac Lane: A Mathematical Autobiography*

## Also known as

**Saunders Mac Lane** was born **Leslie Saunders MacLane**.