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Beyond Geometry: A New Mathematics of Space and Form (History of Mathematics (Facts on File))
John Tabak
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Description for Beyond Geometry: A New Mathematics of Space and Form (History of Mathematics (Facts on File))
Hardcover. Num Pages: 217 pages, Illustrations. BIC Classification: PBM. Category: (G) General (US: Trade). Dimension: 229 x 152 x 18. Weight in Grams: 612.
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.
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 ... Read more
Product Details
Format
Hardback
Publication date
2011
Publisher
Facts on File
Condition
New
Number of Pages
237
Place of Publication
New York, United States
ISBN
9780816079452
SKU
V9780816079452
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
About John Tabak
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.
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