Basic Books | 2013 | 187 páginas | pdf | 1,3 Mb
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Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid’s Elements, arguably the most influential book in the history of mathematics In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive mathematician and his staggering achievements. Berlinski shows that, for centuries, scientists and thinkers from Copernicus to Newton to Einstein have relied on Euclid’s axiomatic system, a method of proof still taught in classrooms around the world. Euclid’s use of elemental logic—and the mathematical statements he and others built from it—have dramatically expanded the frontiers of human knowledge.
The King of Infinite Space presents a rich, accessible treatment of Euclid and his beautifully simple geometric system, which continues to shape the way we see the world.
Contents
Preface xi
I Signs of Men 1
II An Abstraction from the Gabble 11
III Common Beliefs 19
IV Darker by Definition 33
V The Axioms 45
VI The Greater Euclid 57
VII Visible and Invisible Proof 77
VIII The Devil’s Offer 91
IX The Euclidean Joint Stock Company 117
X Euclid the Great 147
Teacher’s Note 155
A Note on Sources 157
Appendix: Euclid’s Definitions 159
Index 163
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