Download e-book for kindle: An Excursion in Diagrammatic Algebra:Turning a Sphere from by J Scott Carter

By J Scott Carter

the purpose of this ebook is to offer as unique an outline as is feasible of 1 of the main attractive and intricate examples in low-dimensional topology. this instance is a gateway to a brand new thought of upper dimensional algebra within which diagrams substitute algebraic expressions and relationships among diagrams symbolize algebraic kinfolk. The reader may perhaps study the adjustments within the illustrations in a leisurely style; or with scrutiny, the reader becomes universal and enhance a facility for those diagrammatic computations.

The textual content describes the fundamental topological principles via metaphors which are skilled in lifestyle: shadows, the human shape, the intersections among partitions, and the creases in a blouse or a couple of trousers. Mathematically proficient reader will enjoy the casual advent of principles. This quantity also will entice scientifically literate people who have fun with mathematical beauty.

Contents:

  • A Sphere
  • Surfaces, Folds, and Cusps
  • The inside of and Outside
  • Dimensions
  • Immersed Surfaces
  • Movies
  • Movie Moves
  • Taxonomic Summary
  • How to not flip the field Inside-Out
  • A actual Metaphor
  • Sarah's Thesis
  • The Eversion
  • The Double element and Fold Surfaces

Readership: Researchers in mathematics.

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An Excursion in Diagrammatic Algebra:Turning a Sphere from Red to Blue: 48 (Series on Knots and Everything) by J Scott Carter


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