000			02535cam a2200241 i 4500
001			136278
003			ISI Library, Kolkata
005			20151103153942.0
008			140414t20142014maua b 001 0 eng
020			_a9780262028134 (hardcover : alk. paper)
040			_aISI Library
082	0	4	_a512.62 _223 _bSp761
100	1		_aSpivak, David I.
245	1	0	_aCategory theory for the sciences / _cDavid I. Spivak.
260			_aCambridge : _bMIT Press, _cc2014.
300			_aviii, 486 p. : _billustrations (some color) ; _c24 cm.
504			_aIncludes bibliographical references (pages 475-478) and index.
505	0		_a1. Introduction-- 2. The category of sets-- 3. Fundamental considerations in set-- 4. Categories and functors, without admitting it-- 5. Basic category theory-- 6. Fundamental considerations of categories-- 7. Categories at work-- References-- Index.
520			_aThis book shows that category theory can be useful outside of mathematics as a rigorous, flexible, and coherent modeling language throughout the sciences. Information is inherently dynamic; the same ideas can be organized and reorganized in countless ways, and the ability to translate between such organizational structures is becoming increasingly important in the sciences. Category theory offers a unifying framework for information modeling that can facilitate the translation of knowledge between disciplines. Written in an engaging and straightforward style, and assuming little background in mathematics, the book is rigorous but accessible to non-mathematicians. Using databases as an entry to category theory, it begins with sets and functions, then introduces the reader to notions that are fundamental in mathematics: monoids, groups, orders, and graphs -- categories in disguise. After explaining the big three concepts of category theory -- categories, functors, and natural transformations -- the book covers other topics, including limits, colimits, functor categories, sheaves, monads, and operads. The book explains category theory by examples and exercises rather than focusing on theorems and proofs. It includes more than 300 exercises, with selected solutions. Category Theory for the Sciences is intended to create a bridge between the vast array of mathematical concepts used by mathematicians and the models and frameworks of such scientific disciplines as computation, neuroscience, and physics.
650		0	_aScience _xMathematical models.
650		0	_aCategories (Mathematics)
942			_2ddc _cBK
999			_c419530 _d419530