Download E-books An Excursion in Diagrammatic Algebra: Turning a Sphere from Red to Blue (Series on Knots and Everything) PDF

By J Scott Carter

The purpose of this e-book is to provide as special 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 suggestion of upper dimensional algebra within which diagrams exchange algebraic expressions and relationships among diagrams signify algebraic relatives. The reader may well learn the alterations within the illustrations in a leisurely type; or with scrutiny, the reader becomes accepted and enhance a facility for those diagrammatic computations. The textual content describes the basic topological principles via metaphors which are skilled in way of life: shadows, the human shape, the intersections among partitions, and the creases in a blouse or a couple of trousers. Mathematically knowledgeable reader will enjoy the casual creation of rules. This quantity also will attract scientifically literate people who relish mathematical good looks.

Readership: Researchers in mathematics.

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