A Topological Picturebook by George K. Francis | (PDF) Free Download

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Ebook Info

  • Published: 2013
  • Number of pages: 209 pages
  • Format: PDF
  • File Size: 10.16 MB
  • Authors: George K. Francis

Description

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 FranciscoThe 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 ThoughtThe 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 UniversityIn 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

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐3D design uses advanced math formulas, that I could study at the faculty of Engineering 40 years ago!. this book shows how to use them, in a simple way. this book is unique!.

⭐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.

⭐Mieux vaut baigner dans la spécialité (la topologie des surfaces) pour se lancer dans la lecture de cet ouvrage en anglais. Mais pour quiconque s’intéresse au sujet (ce qui suppose tout de même une petite culture mathématique supérieure à bac + 2 ou +3), le livre est intéressant. Passer par la lecture préalable des articles et ouvrages de vulgarisation de Jean-Pierre Petit me semble plutôt conseillé (le geometricon, le topologicon ..).L’auteur n’est pas très familiarisé avec les outils logiciels actuels (Mathematica (TM), Maple (TM)) ce qui donne parfois au livre un aspect un peu vieillot.

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