Conceptual Mathematics A First Introduction to Categories
Edition: 2nd 2008
List price: $69.99
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Description: 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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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $69.99
Copyright year: 2008
Publisher: Cambridge University Press
Publication date: 7/30/2009
Size: 6.50" wide x 9.50" long x 1.00" tall
|Note to the reader|
|The Category of Sets|
|Sets, maps, composition|
|The Algebra of Composition|
|Categories of Structured Sets|
|Examples of categories|
|Elementary Universal Mapping Properties|
|Universal mapping properties|
|Higher Universal Mapping Properties|
|The contravariant parts functor|
|The components functor; Appendix|
|Geometry of figures and algebra of functions; Appendix|
|Adjoint functors; Appendix|
|The emergence of category theory within mathematics|