Can I read Euler's Gem : The Polyhedron Formula and the Birth of Topology on EtoBox?

Euler's Gem : The Polyhedron Formula and the Birth of Topology by David S. Richeson, David S. S. Richeson is a science book available to read on EtoBox.

What is Euler's Gem : The Polyhedron Formula and the Birth of Topology about?

Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. __Euler's Gem__ tells the illuminating story of this indispensable mathematical idea. From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of __V__ vertices, __E__ edges, and __F__ faces satisfies the equation __V__-__E__+__F__=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula's scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians discovered that every shape has its own Euler's formula. Using wonderful examples and numerous illustrations, Richeson presents the formula's many elegant and unexpected applicat

Who reads Euler's Gem : The Polyhedron Formula and the Birth of Topology?

Author

David S. Richeson, David S. S. Richeson

Publisher

Princeton University Press

Published

2012

Language

EN

ISBN

9780691154572

Category

science

Subjects

Mathematics, Fiction, Philosophy

Rating

4.22 / 5 (183 ratings)

Updated

2026-03-14