Conceptual mathematics
Subtitle: a first introduction to categories
By: F. William Lawvere, Stephen H. Schanuel.
Contributors: Schanuel, S. H. 1933-
Edition: 2nd ed.
Publisher: Cambridge University Press
Published: 2009
Place of publication: Cambridge, UK; New York
Language: eng
Number of pages: 390
ISBN-13: 9780521894852; 9780521719162
Subjects: Categories (Mathematics)
Notes: Includes bibliographical references and index.
Table of contents: title: 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.