Euler's Gem The Polyhedron Formula and the Birth of Topology

Title
Euler's Gem [electronic resource] : The Polyhedron Formula and the Birth of Topology / David S. Richeson.
Author
Richeson, David S.
Publication
Princeton, NJ : Princeton University Press, [2019]
Electronic Resource

Details

Additional Authors
Richeson, David S.
Found In
  • Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English 9783110610765
  • Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 9783110664232
  • Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English 9783110610406
  • Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 9783110606362
  • Title is part of eBook package: De Gruyter PUP eBook-Package 2019 9783110663365
  • Title is part of eBook package: De Gruyter PUP eBook-Package Pilot Project 2019 9783110652048
Description
1 online resource (336 p.) : 221 b/w illus. 8 tables.
Series Statement
Princeton Science Library ; 82
Uniform Title
Euler's Gem (Online)
Alternative Title
Euler's Gem (Online)
Genre/Form
Electronic books.
Access (note)
  • Access restricted to authorized users.
System Details (note)
  • Mode of access: Internet via World Wide Web.
Language (note)
  • In English.
Contents
Frontmatter -- Contents -- Preface to the Princeton Science Library Edition -- Preface -- Introduction -- Chapter 1. Leonhard Euler and His Three "Great" Friends -- Chapter 2. What Is a Polyhedron? -- Chapter 3. The Five Perfect Bodies -- Chapter 4. The Pythagorean Brotherhood and Plato's Atomic Theory -- Chapter 5. Euclid and His Elements -- Chapter 6. Kepler's Polyhedral Universe -- Chapter 7. Euler's Gem -- Chapter 8. Platonic Solids, Golf Balls, Fullerenes, and Geodesic Domes -- Chapter 9. Scooped by Descartes? -- Chapter 10. Legendre Gets It Right -- Chapter 11. A Stroll through Königsberg -- Chapter 12. Cauchy's Flattened Polyhedra -- Chapter 13. Planar Graphs, Geoboards, and Brussels Sprouts -- Chapter 14. It's a Colorful World -- Chapter 15. New Problems and New Proofs -- Chapter 16. Rubber Sheets, Hollow Doughnuts, and Crazy Bottles -- Chapter 17. Are They the Same, or Are They Different? -- Chapter 18. A Knotty Problem -- Chapter 19. Combing the Hair on a Coconut -- Chapter 20. When Topology Controls Geometry -- Chapter 21. The Topology of Curvy Surfaces -- Chapter 22. Navigating in n Dimensions -- Chapter 23. Henri Poincaré and the Ascendance of Topology -- Epilogue: The Million-Dollar Question -- Acknowledgments -- Appendix A: Build Your Own Polyhedra and Surfaces -- Appendix B: Recommended Readings -- Notes -- References -- Illustration Credits -- Index
LCCN
10.1515/9780691191997
Author
Richeson, David S.
Title
Euler's Gem [electronic resource] : The Polyhedron Formula and the Birth of Topology / David S. Richeson.
Imprint
Princeton, NJ : Princeton University Press, [2019]
Series
Princeton Science Library ; 82
Access
Access restricted to authorized users.
Summary
How a simple equation reshaped mathematicsLeonhard 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 theorem is so simple it can be explained to a child. 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. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea'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. This paperback edition contains a new preface by the author.
System Details
Mode of access: Internet via World Wide Web.
Language
In English.
Source of description
Description based on online resource; title from PDF title page (publisher's Web site, viewed 06. Apr 2020)
Connect to:
Added Author
Richeson, David S.
Found In:
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English 9783110610765
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 9783110664232 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English 9783110610406
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 9783110606362 ZDB-23-DMA
Title is part of eBook package: De Gruyter PUP eBook-Package 2019 9783110663365
Title is part of eBook package: De Gruyter PUP eBook-Package Pilot Project 2019 9783110652048
Other Standard Identifier
10.1515/9780691191997 doi
View in Legacy Catalog