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Knots and SurfacesThe fascination exerted by interlaced patterns and knotted forms is evident in their use in decorative and symbolic art across the centuries. Knotwork is a distinguishing feature of Celtic art, and the intricate beauty of decorated stonework and illuminated manuscripts such as the Lindisfarne Gospels, the Book of Durrow, and the Book of Kells... | | A Combinatorial Introduction to TopologyTopology is remarkable for its contributions to the popular culture of mathematics. Euler's formula for polyhedra, the four color theorem, the Mobius strip, the Klein bottle, and the general notion of a rubber sheet geometry are all part of the folklore of current mathematics. The student in a first course in topology, however, must often wonder... | | Understanding the InfiniteIn writing this book I have tried to keep mathematical prerequisites to a minimum. The reader who is essentially innocent of mathematical knowledge beyond that taught in high school should be able to read at least halfway through Chapter VIII plus parts of the rest of the book, though such a reader will need to skip the occasional formula. That is... |
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