Prologue: The status of mathematics ; Traditional mathematics : subjects ; Traditional mathematics : methods ; The content in this book ; Audience
Building Up to Categories. Categories : the idea
Categories : the definition
Interlude : a tour of math
Examples we've already seen, secretly
Small mathematical structures
Large worlds of mathematical structures
Doing Category Theory. Isomorphisms
Epilogue: Thinking categorically
Appendices: Background on alphabets ; Background on basic logic ; Background on set theory ; Background on topological spaces.