Beyond Geometry
by
John Tabak
Book Details
Format
Hardback or Cased Book
ISBN-10
0816079455
ISBN-13
9780816079452
Publisher
Facts On File Inc
Imprint
Facts On File Inc
Country of Manufacture
US
Country of Publication
GB
Publication Date
Jul 30th, 2011
Print length
237 Pages
Weight
592 grams
Dimensions
23.10 x 15.40 x 1.70 cms
Product Classification:
Geometry
Ksh 6,850.00
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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.<\p>
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