Elementary Overview Of Mathematical Structures, An: Algebra, Topology And Categories (Innbundet)

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Innbinding: Innbundet
Utgivelsesår: 2020
Antall sider: 392
Forlag: World Scientific Publishing Co Pte Ltd
Språk: Engelsk
ISBN/EAN: 9789811220319
Omtale Elementary Overview Of Mathematical Structures, An: Algebra, Topology And Categories
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.

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