Table of Contents

Please read this; Note to the reader; Acknowledgements; Preview; Part I. The Category Of Sets: 1. Sets, maps, composition; Part II. The Algebra Of Composition: 2. Isomorphisms; Part III. Categories Of Structured Sets: 3. Examples of categories; Part IV. Elementary Universal Mapping Properties: 4. Universal mapping properties; Part V. Higher Universal Mapping Properties: 5. Map objects; Index.

Promotional Information

The first book to apply categories to the most elementary mathematics.

Reviews

'Conceptual Mathematics is the first book to serve both as a skeleton key to mathematics for the general reader or beginning student and as an introduction to categories for computer scientists, logicians, physicists, linguists, etc … The fundamental ideas are illuminated in an engaging way.' Zentralblatt für Didaktik der Mathematik

'This book is the first book to serve both as a skeleton key to mathematics for the general reader or beginning student and as an introduction to categories for computer scientists, logicians, physicists, linguists, etc … The fundamental ideas are illuminated in an engaging way.' L'Enseignment Mathématique

'… every mathematician should know the basic ideas and techniques explained in this book …' Monatshefte für Mathematik