Conceptual Mathematics
eBook - PDF

Conceptual Mathematics

A First Introduction to Categories

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Conceptual Mathematics

A First Introduction to Categories

About this book

In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics introduces this tool for the learning, development, and use of mathematics, to beginning students and also to practising mathematical scientists. 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.

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Yes, you can access Conceptual Mathematics by F. William Lawvere,Stephen H. Schanuel in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright
  5. Dedication
  6. Contents
  7. Preface
  8. Organisation of the book
  9. Acknowledgements
  10. Preview
  11. Part I The category of sets
  12. Part II The algebra of composition
  13. Part III Categories of structured sets
  14. Part IV Elementary universal mapping properties
  15. Part V Higher universal mapping properties
  16. Appendices
  17. Index