Download e-book for iPad: A Topological Picturebook by George K. Francis

By George K. Francis

ISBN-10: 0387681205

ISBN-13: 9780387681207

Goals to motivate mathematicians to demonstrate their paintings and to aid artists comprehend the tips expressed via such drawings. This ebook explains the photograph layout of illustrations from Thurston's global of low-dimensional geometry and topology. It offers the foundations of linear and aerial standpoint from the perspective of projective geometry.

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This is usually neater than xerography, but more time-consuming. Since the solvent of many inks will smear adjacent pigments already applied, I sometimes color on alternating sides of the sheet. When using several overlays, it pays to tape the sheets together, so that they fit correctly. COMPUTER AND DRAFfING TABLE. Computer-generated visual displays certainly are marvelous aids to the imagination. This spectacular new medium has been used by Tom Banchoff [1977] and Nelson Max [1977] to produce films of great beauty and lucidity in geometry and topology, respectively.

The algorithm used by Stephen Gray for these graphs of trigonometric polynomials is quite simple and works well though slowly in BASIC on an Apple. Originally, it took ten dedicated minutes in the dead of night on PLATO's Cyber73/CDC6500 timeshared mainframe. It was the convenience of the PLATO system and the uncommonly supportive personal environment that got me started in programming there rather than on a proper graphics setup. My computer novitiate thus was similar to what awaits current beginners in micro-computing.

When using several overlays, it pays to tape the sheets together, so that they fit correctly. COMPUTER AND DRAFfING TABLE. Computer-generated visual displays certainly are marvelous aids to the imagination. This spectacular new medium has been used by Tom Banchoff [1977] and Nelson Max [1977] to produce films of great beauty and lucidity in geometry and topology, respectively. Eventually, the graphics computer will be as important a tool in descriptive geometry and topology as india ink and slate blackboards.

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A Topological Picturebook by George K. Francis


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