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Beyond Geometry Beyond Geometry

Beyond Geometry

For millennia, Euclidean geometry, the geometry of the ancient Greeks, set the standard for rigor in mathematics--it was the only branch of mathematics that had been developed axiomatically, or based on a sy… (See Below for Full Description)
SKU: IB-9780816079452

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For millennia, Euclidean geometry, the geometry of the ancient Greeks, set the standard for rigor in mathematics--it was the only branch of mathematics that had been developed axiomatically, or based on a system of axioms. This form of geometry was the language of mathematics. But early in the 19th century, mathematicians developed geometries very different from Euclid's simply by choosing axioms different from those used by Euclid. These new geometries were internally consistent in the sense that mathematicians could find no theorems arising within these geometries that could be proven both true and false.

Beyond Geometry describes how set-theoretic topology developed and why it now occupies a central place in mathematics. Describing axiomatic method as well as providing a definition of what a geometric property is, this new resource examines how early analysts incorporated geometric thinking into their development of the calculus. It also looks at the various mathematicians who struggled to develop a new conceptual framework for mathematics and examines one of the sub-disciplines of set-theoretic topology called dimension theory.

Additional Info

ISBN-13 978-0-8160-7945-2
ISBN-10 816079455
eBook ISBN 978-1-4381-3623-3
Bundle Options Individual
Language English
Publisher Infobase Learning
From the Series The History of Mathematics
Author John Tabak, Ph.D.
Publication Date 5/1/2011
Book's Binding Hardcover
Imprint Facts On File
Specifications Full-color photographs and line illustrations. Index. Appendix. Bibliography. Glossary. Cross-references. Chronology. Tables. Further resources.
Available Formats Print & eBook

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