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Google圖書搜尋
An Excursion in Diagrammatic Algebra
J. Scott Carter
其他書名
Turning a Sphere from Red to Blue
出版
World Scientific
, 2012
主題
Mathematics / General
Mathematics / Algebra / General
Mathematics / Geometry / Algebraic
Mathematics / Topology
ISBN
9814374504
9789814374507
URL
http://books.google.com.hk/books?id=UWS6CgAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.