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A Topological Picturebook [Hardcover]

George K. Francis (Author)
5.0 out of 5 stars  See all reviews (1 customer review)


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Paperback $40.42  

Book Description

0387964266 978-0387964263 October 24, 2006

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



Editorial Reviews

Review

From the reviews:

"I was very pleasantly surprised when I opened the book. … this is really a much richer book. Indeed, the approach it offers to drawing can have a significant impact on how we teach and think about mathematics. … If you are good at visualization and illustration, this book can help you become better yet. … this will give you concrete and specific suggestions for developing your skills. If you just appreciate skillful drawing and illustration, this book deserves a look." (William J. Satzer, MathDL, December, 2006)

"This book is a drawing manual for mathematicians. It is written by a great expert in the subject … . The author explained his techniques of drawing and of shading pictures, he explains when to use perspective and when not to use it, and so on. The numerous illustrations that are contained in this book as examples for drawing of mathematical objects are delightful … . This book is unique in the mathematical literature, and the present second printing is most welcome." (Athanase Papadopoulos, Zentralblatt MATH, Vol. 1105 (7), 2007)

From the Back Cover

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 --This text refers to the Paperback edition.

Product Details

  • Hardcover: 200 pages
  • Publisher: Springer (October 24, 2006)
  • Language: English
  • ISBN-10: 0387964266
  • ISBN-13: 978-0387964263
  • Product Dimensions: 9.4 x 6 x 0.6 inches
  • Shipping Weight: 12.8 ounces
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #2,210,463 in Books (See Top 100 in Books)

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6 of 8 people found the following review helpful:
5.0 out of 5 stars Must have for architectural students and artists who.., November 6, 2001
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This review is from: A Topological Picturebook (Hardcover)
I think this book helps people to understand topology better and easier with plenty of visual diagrams. This is very lovely book and something I would not want in digital form.
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Inside This Book (learn more)
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Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
descriptive topology, gluing diagram, framing triangle, focal disc, diagonal vanishing points, regular homotopy, sight cone, mapping class group, double torus, twisting circle, knot complement, dunce hat, obvious circles, punctured sphere, pinch points, cross cap, focal center, picture plane, stable map
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Bernard Morin, Steiner's Roman, Nelson Max, John Stillwell, Werner Boy
Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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