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## Conceptual Mathematics: A First Introduction to Categories, Second Edition (Softcover)"In the last sixty years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. ## $39.89 |

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Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** This book is in very good condition, showing slight signs of use and wear. There is no writing on its pages.

## Description

“Category theory slices across the artificial boundaries dividing algebra, arithmetic, calculus, geometry, logic, topology. If you have students you wish to introduce to the subject, I suggest this delightfully elementary book. I have recommended this book to motivated high school students. I certainly suggest it for undergraduates. I even suggest it for the mathematician who needs a refresher on modern concepts.” — *National Association of Mathematicians Newsletter*

From the back cover: “This book provides a skeleton key that makes explicit some concepts and procedures that are common to all branches of pure and applied mathematics. The treatment does not presuppose knowledge of specific fields, but rather develops, from basic definitions, such elementary categories as discrete dynamical systems and directed graphs; the fundamental ideas are then illuminated by examples in these categories.

“This second edition provides links with more advanced topics of possible study. In the new appendices and annotated bibliography the reader will find concise introductions to adjoint functors and geometrical structures, as well as sketches of relevant historical developments.”

**The Book’s Organization**

From “Organisation of the book” (page xv): “The reader needs to be aware that this book has two very different kinds of ‘chapters’: The **Articles** form the backbone of the book; they roughly correspond to the written material given to our students the first time we taught the course. The **Sessions**, reflecting the informal classroom discussions, provide additional examples and exercises. Students who had difficulties with some of the exercises in the Articles could often solve them after the ensuing Sessions. …

“Session 1 [Galileo and multiplication of objects] is introductory. Exceptionally, Session 10 [Brouwer’s theorems] is intended to give the reader a taste of more sophisticated applications; mastery of it is not essential for the rest of the book.”

Article |
Sessions |

I. Sets, maps, composition | 2 and 3 |

II. Isomorphisms | 4 through 9; Test 1 |

III. Examples of categories | 11 through 17; Test 2; Session 18: Review of Test 2 |

IV. Universal mapping properties | 19 through 29; Tests 3 through 5 |

V. Map objects | 30 and 31 |

VI. The contravariant parts functor | 32 and 33 |

VII. The Connected Components Functor | 34 and 35 |

**Appendices**

- Geometry of figures and algebra of functions
- Adjoint functors with examples from graphs and dynamical systems
- The emergence of category theory within mathematics
- Annotated Bibliography

## Details

- SKU:
- 2198
- Subject:
- Mathematics
- Author:
- Lawvere, F. William and Stephen H. Schanuel
- Publisher:
- Cambridge University Press
- Publish Date:
- 2009
- Format:
- Softcover
- Weight (pounds):
- 1.7
- Dimensions (W”xL”xH”):
- 6.7″x9.6″x0.95″
- ISBN-13:
- 9780521719162
- ISBN-10:
- 052171916X
- Grade Level:
- Grade 10, Grade 11, Grade 12, College

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