A book

A book

[Marco Grandis]

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: 
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.  
________

Regards,    MG



[For admin and other information see: http://www.mta.ca/~cat-dist/ ]

A book

[Marco Grandis]

This book is being published:

Marco Grandis
Category Theory and Applications, A Textbook for Beginners
World Scientific, March 2018

From the preface
"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."


Regards,   M. Grandis

[For admin and other information see: http://www.mta.ca/~cat-dist/ ]

A book

[Ross Street]

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