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040 _a WSPC
_b eng
_c WSPC
020 _a9789811220326
_q(ebook)
020 _z9789811220319
_q(hbk.)
050 0 4 _aQA169
_b.G727 2020
072 7 _aMAT
_x012010
_2bisacsh
072 7 _aMAT
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082 0 4 _a512.62
_223
100 1 _aGrandis, Marco.
_920947
245 1 2 _aAn elementary overview of mathematical structures
_h[electronic resource] :
_balgebra, topology and categories /
_cby Marco Grandis.
260 _aSingapore :
_bWorld Scientific,
_c2020.
300 _a1 online resource (x, 382 p.)
505 0 _aPreface -- Introduction. Algebraic structures. I -- Algebraic structures. II -- Topological structures, I -- Topological structures. II -- Categories and functors -- Categorical limits and adjunctions -- Solutions and hints -- References -- Index.
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat Reader.
504 _aIncludes bibliographical references and index.
520 _a"Since the last century, a large part of Mathematics is concerned with the study of mathematical structures, from groups to fields and vector spaces, from lattices to Boolean algebras, from metric spaces to topological spaces, from topological groups to Banach spaces. More recently, these structured sets and their transformations have been assembled in higher structures, called categories. We want to give a structural overview of these topics, where the basic facts of the different theories are unified through the 'universal properties' that they satisfy, and their particularities stand out, perhaps even more. This book can be used as a textbook for undergraduate studies and for self-study. It can provide students of Mathematics with a unified perspective of subjects which are often kept apart. It is also addressed to students and researchers of disciplines having strong interactions with Mathematics, like Physics and Chemistry, Statistics, Computer Science, Engineering"--Publisher's website.
650 0 _aCategories (Mathematics)
_920948
650 0 _aAlgebra.
_921222
650 0 _aAlgebraic topology.
_911378
655 0 _aElectronic books.
_93294
856 4 0 _uhttps://www.worldscientific.com/worldscibooks/10.1142/11828#t=toc
_zAccess to full text is restricted to subscribers.
942 _cEBK
999 _c72784
_d72784