Euclid - The Creation of Mathematics

Name: Euclid - The Creation of Mathematics
Price: 21.67 USD
Availability: InStock
ISBN: 9780387984230

ISBN-10: 0387984232

ISBN-13: 9780387984230

Edition: 1999

Authors: Benno Artmann, Benno Artmann

List price: $139.99

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Description:

The philosopher Immanuel Kant writes in the popular introduction to his philosophy: "There is no single book about metaphysics like we have in mathematics. If you want to know what mathematics is, just look at Euclid's Elements." (Prolegomena Paragraph 4) Even if the material covered by Euclid may be considered elementary for the most part, the way in which he presents essential features of mathematics in a much more general sense, has set the standards for more than 2000 years. He displays the axiomatic foundation of a mathematical theory and its conscious development towards the solution of a specific problem. We see how abstraction works and how it enforces the strictly deductive…

Book details

List price: $139.99
Copyright year: 1999
Publisher: Springer New York
Publication date: 9/27/2001
Binding: Hardcover
Pages: 349
Size: 6.10" wide x 9.25" long x 0.34" tall
Weight: 3.366
Language: English



Preface


Notes to the reader






The Testimony of Eudemus






Parallels and Axioms



Pythagoras of Samos






Squaring the Circle






Problems and Theories






The Birth of Rigor



Polygons after Euclid









Be Wise, Generalize






Nicomachus and Diophantus






Tools and Theorems






Math is Beautiful






Incommensurability and Irrationality






The Role of Defiinitions






The Taming of the Infinite






Symmetry Through the Ages



The Origin of the Elements


Notes


Bibliography


Index