A Topological Picturebook

George K. Francis

216 pages, parution le 15/01/2007

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Résumé

Praise for George Francis's A Topological Picturebook:

Bravo to Springer for reissuing this unique and beautiful book! It not only reminds the older generation of the pleasures of doing mathematics by hand, but also shows the new generation what "hands on" really means John Stillwell, University of San Francisco

The Topological Picturebook has taught a whole generation of mathematicians to draw, to see, and to think Tony Robbin, artist and author of Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought

The classic reference for how to present topological information visually, full of amazing hand-drawn pictures of complicated surfaces John Sullivan, Technische Universitat Berlin

A Topological Picturebook lets students see topology as the original discoverers conceived it: concrete and visual, free of the formalism that burdens conventional textbooks Jeffrey Weeks, author of The Shape of Space

A Topological Picturebook is a visual feast for anyone concerned with mathematical images. Francis provides exquisite examples to build one's "visualization muscles". At the same time, he explains the underlying principles and design techniques for readers to create their own lucid drawings George W. Hart, Stony Brook University

In this collection of narrative gems and intriguing hand-drawn pictures, George Francis demonstrates the chicken-and-egg relationship, in mathematics, of image and text. Since the book was first published, the case for pictures in mathematics has been won, and now it is time to reflect on their meaning. A Topological Picturebook remains indispensable Marjorie Senechal, Smith College and co-editor of the Mathematical Intelligencer

Written for: Undergraduates, graduates, mathematicians

Sommaire

Descriptive Topology
Methods and Media
Pictures in Perspective
The Impossible Tribar
Shadows from Higher Dimension
Sphere Eversions
Group Pictures
The Figure Eight Knot
Postscript

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	George K. Francis
Parution	15/01/2007
Nb. de pages	216
Format	15,5 x 23,5
Couverture	Broché
Poids	320g
Intérieur	Noir et Blanc
EAN13	9780387345420