TY - BOOK AU - Lawvere,F.William AU - Schanuel,Stephen H. TI - Conceptual mathematics: a first introduction to categories SN - 9780521719162 (pbk.) AV - QA169 .L355 2009 U1 - 512.62 L44C2 23 PY - 2019/// CY - Cambridge, UK PB - Cambridge University Press KW - Categories (Mathematics) N1 - Includes bibliographical references and index; 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 UR - http://www.loc.gov/catdir/enhancements/fy0805/2007043671-b.html UR - http://www.loc.gov/catdir/enhancements/fy0805/2007043671-d.html UR - http://www.loc.gov/catdir/enhancements/fy0805/2007043671-t.html ER -