Book/Conceptual Mathematics

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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