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A Topological Picturebook
Taschenbuch von George K. Francis
Sprache: Englisch

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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 BerlinA 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 SpaceA 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
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 BerlinA 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 SpaceA 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
Zusammenfassung

The purpose of this book is to encourage mathematicans to illustrate their work and to help artists understand the abstract ideas expressed by such drawings. It explains the graphic design of illustrations from Thurston's world of low-dimensional geometry and topology, while presenting the principles of linear and aerial perspective from the viewpoint of projective and descriptive geometry.

"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

Inhaltsverzeichnis
1 Descriptive Topology.- 2 Methods and Media.- 3 Pictures in Perspective.- 4 The Impossible Tribar.- 5 Shadows from Higher Dimension.- 6 Sphere Eversions.- 7 Group Pictures.- 8 The Figure Eight Knot.- Postscript.
Details
Erscheinungsjahr: 2006
Fachbereich: Topologie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 216
Inhalt: XV
194 S.
87 Illustr.
ISBN-13: 9780387345420
ISBN-10: 0387345426
Sprache: Englisch
Herstellernummer: 11666080
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Francis, George K.
Auflage: 1st ed 1987. 2nd printing 2006
Hersteller: Springer US
Springer New York
Maße: 235 x 155 x 14 mm
Von/Mit: George K. Francis
Erscheinungsdatum: 24.10.2006
Gewicht: 0,375 kg
preigu-id: 102144914
Zusammenfassung

The purpose of this book is to encourage mathematicans to illustrate their work and to help artists understand the abstract ideas expressed by such drawings. It explains the graphic design of illustrations from Thurston's world of low-dimensional geometry and topology, while presenting the principles of linear and aerial perspective from the viewpoint of projective and descriptive geometry.

"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

Inhaltsverzeichnis
1 Descriptive Topology.- 2 Methods and Media.- 3 Pictures in Perspective.- 4 The Impossible Tribar.- 5 Shadows from Higher Dimension.- 6 Sphere Eversions.- 7 Group Pictures.- 8 The Figure Eight Knot.- Postscript.
Details
Erscheinungsjahr: 2006
Fachbereich: Topologie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 216
Inhalt: XV
194 S.
87 Illustr.
ISBN-13: 9780387345420
ISBN-10: 0387345426
Sprache: Englisch
Herstellernummer: 11666080
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Francis, George K.
Auflage: 1st ed 1987. 2nd printing 2006
Hersteller: Springer US
Springer New York
Maße: 235 x 155 x 14 mm
Von/Mit: George K. Francis
Erscheinungsdatum: 24.10.2006
Gewicht: 0,375 kg
preigu-id: 102144914
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