Title
Euler's Gem: The Polyhedron Formula and the Birth of Topology,Used
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Leonhard Euler's polyhedron formula describes the structure of many objectsfrom soccer balls and gemstones to Buckminster Fuller's buildings and giant allcarbon 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 cuttingedge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its farreaching 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 VE+F=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenthcentury 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 twentiethcentury 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 applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map.Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, Euler's Gem will fascinate every mathematics enthusiast.
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- Q: What is the main topic of 'Euler's Gem'? A: 'Euler's Gem' focuses on Leonhard Euler's polyhedron formula, exploring its significance in the field of topology and its applications across various domains.
- Q: Who is the author of 'Euler's Gem'? A: The book is authored by David S. Richeson, who delves into the historical context and mathematical implications of Euler's formula.
- Q: What can I expect to learn from reading this book? A: Readers can expect to learn about the history of Euler's polyhedron formula, its applications in modern mathematics, and the contributions of various mathematicians to this theorem.
- Q: What is the binding type of 'Euler's Gem'? A: 'Euler's Gem' is available in a hardcover binding, providing durability and a premium feel.
- Q: How many pages does 'Euler's Gem' have? A: 'Euler's Gem' contains 336 pages, making it a comprehensive read on the subject.
- Q: When was 'Euler's Gem' published? A: 'Euler's Gem' was published on September 28, 2008.
- Q: Is 'Euler's Gem' suitable for beginners in mathematics? A: Yes, 'Euler's Gem' is written in an accessible manner and can be understood by beginners, as it explains complex concepts simply.
- Q: What condition is 'Euler's Gem' in when purchased? A: 'Euler's Gem' is sold as a new item, ensuring that it is in mint condition upon delivery.
- Q: Are there any notable illustrations in 'Euler's Gem'? A: Yes, the book includes numerous illustrations that help clarify and enhance the understanding of mathematical concepts discussed.
- Q: What features are included with the purchase of 'Euler's Gem'? A: Features include same-day dispatch for orders received before noon, guaranteed packaging, and a no-quibbles return policy.