Beyond Geometry - John Tabak

Beyond Geometry

(Autor)

Buch | Hardcover
237 Seiten
2011
Facts on File Inc (Verlag)
978-0-8160-7945-2 (ISBN)
55,95 inkl. MwSt
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.

John Tabak, Ph.D., performed graduate work at Suny at Stony Brook and received a degree in mathematics from Rensselaer Polytechnic Institute. He is the author of A Look at Earth and A Look at Neptune, two astronomy titles for middle school readers. He is presently writing a history of American sign language.

Erscheint lt. Verlag 30.7.2011
Zusatzinfo Illustrations
Verlagsort New York
Sprache englisch
Themenwelt Schulbuch / Wörterbuch Lexikon / Chroniken
Mathematik / Informatik Mathematik Geometrie / Topologie
Mathematik / Informatik Mathematik Geschichte der Mathematik
ISBN-10 0-8160-7945-5 / 0816079455
ISBN-13 978-0-8160-7945-2 / 9780816079452
Zustand Neuware
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