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020			_z9789811236082 _q(hbk.)
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100	1		_aGrandis, Marco. _920947
245	1	0	_aCategory theory and applications _h[electronic resource] : _ba textbook for beginners / _cby Marco Grandis.
250			_a2nd ed.
260			_aSingapore : _aNew Jersey : _bWorld Scientific, _c2021.
300			_a1 online resource (xi, 377 p.)
505	0		_aPreface -- Introduction -- Categories, functors and natural transformations -- Limits and colimits -- Adjunctions and monads -- Applications in algebra -- Applications in topology and algebraic topology -- Applications in homological algebra -- Hints at higher dimensional category theory -- Solutions of the exercises -- References -- Index.
504			_aIncludes bibliographical references and index.
520			_a"Category Theory now permeates most of Mathematics, large parts of theoretical Computer Science and parts of theoretical Physics. Its unifying power brings together different branches, and leads to a better understanding of their roots. This book is addressed to students and researchers of these fields and can be used as a text for a first course in Category Theory. It covers the basic tools, like universal properties, limits, adjoint functors and monads. These are presented in a concrete way, starting from examples and exercises taken from elementary Algebra, Lattice Theory and Topology, then developing the theory together with new exercises and applications. A reader should have some elementary knowledge of these three subjects, or at least two of them, in order to be able to follow the main examples, appreciate the unifying power of the categorical approach, and discover the subterranean links brought to light and formalised by this perspective. Applications of Category Theory form a vast and differentiated domain. This book wants to present the basic applications in Algebra and Topology, with a choice of more advanced ones, based on the interests of the author. References are given for applications in many other fields. In this second edition, the book has been entirely reviewed, adding many applications and exercises. All non-obvious exercises have now a solution (or a reference, in the case of an advanced topic); solutions are now collected in the last chapter"--Publisher's website.
538			_aMode of access: World Wide Web.
538			_aSystem requirements: Adobe Acrobat Reader.
650		0	_aCategories (Mathematics) _920948
650		0	_aMathematical analysis. _911486
650		0	_aMorphisms (Mathematics) _920949
650		0	_aHomology theory. _920950
655		0	_aElectronic books. _93294
856	4	0	_uhttps://www.worldscientific.com/worldscibooks/10.1142/12253#t=toc _zAccess to full text is restricted to subscribers.
942			_cEBK
999			_c72752 _d72752