[Download] "An Excursion In Diagrammatic Algebra" by J Scott Carter * Book PDF Kindle ePub Free

June 19, 2021

eBook details

Title: An Excursion In Diagrammatic Algebra
Author : J Scott Carter
Release Date : January 06, 2011
Genre: Mathematics,Books,Science & Nature,Professional & Technical,
Pages : * pages
Size : 26016 KB

Description

The aim of this book is to give as detailed a description as is possible of one of the most beautiful and complicated examples in low-dimensional topology. This example is a gateway to a new idea of higher dimensional algebra in which diagrams replace algebraic expressions and relationships between diagrams represent algebraic relations. The reader may examine the changes in the illustrations in a leisurely fashion; or with scrutiny, the reader will become familiar and develop a facility for these diagrammatic computations. The text describes the essential topological ideas through metaphors that are experienced in everyday life: shadows, the human form, the intersections between walls, and the creases in a shirt or a pair of trousers. Mathematically informed reader will benefit from the informal introduction of ideas. This volume will also appeal to scientifically literate individuals who appreciate mathematical beauty.