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

An Excursion In Diagrammatic Algebra

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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.


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