000			a
999			_c31083 _d31083
008			221104b xxu||||| |||| 00| 0 eng d
020			_a9780521719162
082			_a511.3 _bLAW
100			_aLawvere, F. William
245			_aConceptual mathematics : a first introduction to categories
260			_bCambridge University Press, _c2009 _aCambridge ;
300			_axii, 390 p. ; _bill _c26 cm
365			_b42.99 _cGBP _d95.20
504			_aIncludes bibliographical references and index.
520			_aIn 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.
650			_aMathematics
650			_aCombinatorics
650			_a Adjoint functors
650			_aAutomorphism
650			_a Choice problem
650			_aDynamical system
650			_a Endomap
650			_aIdempotent object
650			_a Identity laws
650			_a Inclusion map
650			_a Isomorphism
650			_aMonoid
650			_a Monomorphism
650			_aParameterizing;
650			_aShoes and socks rule
650			_a Structure-preserving map
650			_a Terminal object
650			_aObject multiplication
700			_aSchanuel, Stephen H.
942			_2ddc _cBK