Lawvere, William; Schanuel, Stephen (January 8, 2009). Conceptual Mathematics_A First Introduction to Categories (2nd ed.). local page: Cambridge University Press. ISBN 978-0521719162.
Table of Content
Preface
Organization of the book
Acknowledgements
Preview
Session 1: Galileo and multiplication of objects
1 Introduction
2 Galileio and the flight of a bird
3 Other examples of multiplication of objects
Part I The category of sets
Article I: Sets, maps, composition
1 Guide
Summary: Definition of category
Session 2: Sets, maps, and composition
1 Review of Article I
2 An example of different rules for a map
3 External diagrams
4 Problems on the number of maps from one set to another
Session 3: Composing maps and counting maps
Part II: The algebra of composition
Article II: Isomorphisms