From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/10270 Path: news.gmane.io!.POSTED.blaine.gmane.org!not-for-mail From: Marco Grandis Newsgroups: gmane.science.mathematics.categories Subject: A book Date: Wed, 26 Aug 2020 19:06:15 +0200 Message-ID: Reply-To: Marco Grandis Mime-Version: 1.0 (Apple Message framework v1085) Content-Type: text/plain; charset="us-ascii" Content-Transfer-Encoding: quoted-printable Injection-Info: ciao.gmane.io; posting-host="blaine.gmane.org:116.202.254.214"; logging-data="35345"; mail-complaints-to="usenet@ciao.gmane.io" To: Original-X-From: majordomo@rr.mta.ca Fri Aug 28 04:08:26 2020 Return-path: Envelope-to: gsmc-categories@m.gmane-mx.org Original-Received: from smtp2.mta.ca ([198.164.44.55]) by ciao.gmane.io with esmtps (TLS1.2:ECDHE_RSA_AES_256_GCM_SHA384:256) (Exim 4.92) (envelope-from ) id 1kBToY-000927-FF for gsmc-categories@m.gmane-mx.org; Fri, 28 Aug 2020 04:08:26 +0200 Original-Received: from rr.mta.ca ([198.164.44.159]:35622) by smtp2.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1kBToF-0002BF-34; Thu, 27 Aug 2020 23:08:07 -0300 Original-Received: from majordomo by rr.mta.ca with local (Exim 4.92.1) (envelope-from ) id 1kBTmQ-0004eY-57 for categories-list@rr.mta.ca; Thu, 27 Aug 2020 23:06:14 -0300 Precedence: bulk Xref: news.gmane.io gmane.science.mathematics.categories:10270 Archived-At: This book has been published in Aug 2020 (although the formal publishing date is 2021): M. Grandis An Elementary Overview of Mathematical Structures. Algebra, Topology and = Categories World Scientific Publishing Co., 2021. - Info at WS:=20 https://www.worldscientific.com/worldscibooks/10.1142/11828 - Downloadable Introduction https://www.worldscientific.com/doi/pdf/10.1142/9789811220326_0001 ________ PREFACE 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. =20 ________ Regards, MG [For admin and other information see: http://www.mta.ca/~cat-dist/ ]