Conceptual mathematics : a first introduction to categories
F W Lawvere, S H Schanuel
This is an introduction to thinking about elementary mathematics from a categorial point of view. The goal is to explore the consequences of a new and fundamental insight about the nature of mathematics. Foreword; Note to the reader; 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; 6. The contravariant parts functor; 7. The components functor; Appendix 1. Geometry of figures and algebra of functions; Appendix 2. Adjoint functors; Appendix 3. The emergence of category theory within mathematics; Appendix 4. Annotated bibliography
Kategorie:
Rok:
2009
Wydanie:
2nd ed
Wydawnictwo:
Cambridge University Press
Język:
english
Strony:
406
ISBN 10:
0521894859
ISBN 13:
9780521894852
Plik:
DJVU, 3.72 MB
IPFS:
,
english, 2009
Pobranie tej książki jest niedostępne z powodu skargi złożonej przez właściciela praw autorskich