[Télécharger] Category Theory and Applications:A Textbook for Beginners (Category Theory Homological Al) (English Edition) de Marco Grandis Livres Pdf Epub
Télécharger Category Theory and Applications:A Textbook for Beginners (Category Theory Homological Al) (English Edition) de Marco Grandis Pdf Ebook

Télécharger "Category Theory and Applications:A Textbook for Beginners (Category Theory Homological Al) (English Edition)" de Marco Grandis En Ligne
Auteur : Marco Grandis
Catégorie : Boutique Kindle,Ebooks Kindle,Ebooks en langues étrangères
Broché : * pages
Éditeur : *
Langue : Français, Anglais
<!-- -->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 deeper 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 its 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.Applications of Category Theory form a vast and differentiated domain. This book wants to present the basic applications and a choice of more advanced ones, based on the interests of the author. References are given for applications in many other fields.<!-- -->Contents: IntroductionCategories, Functors and Natural TransformationsLimits and ColimitsAdjunctions and MonadsApplications in AlgebraApplications in Topology and Algebraic TopologyApplications in Homological AlgebraHints at Higher Dimensional Category TheoryReferencesIndices<!-- --><!-- -->Readership: Graduate students and researchers of mathematics, computer science, physics.<!-- -->Key Features:The main notions of Category Theory are presented in a concrete way, starting from examples taken from the elementary part of well-known disciplines: Algebra, Lattice Theory and TopologyThe theory is developed presenting other examples and some 300 exercises; the latter are endowed with a solution, or a partial solution, or adequate hintsThree chapters and some extra sections are devoted to applications
Télécharger Category Theory and Applications:A Textbook for Beginners (Category Theory Homological Al) (English Edition) de Marco Grandis Livres En Ligne
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