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The Foundations of Geometry. Authorised Translation by E. J. Townsend, PH. D. University of Illinois. The Foundations of Geometry. Authorised Translation by E. J. Townsend, PH. D. University of Illinois.
The Foundations of Geometry. Authorised Translation by E. J. Townsend, PH. D. University of Illinois.
HILBERT, David.
The Foundations of Geometry. Authorised Translation by E. J. Townsend, PH. D. University of Illinois.

Availability: In stock

Front cover with dampmark, contents unaffected; very short tear to initial leaf with publishers advertisment; a very good copy.

Published: London Kegan Paul, Trench, Tr 1902

Stock Code: 115519

£750

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First edition in English, the UK issue, co-published with The Open Court Publishing Company of Chicago, of one of the most influential mathematics publications of the 20th century. Hilbert's classical investigation of the logical foundations of geometry was first published in German in 1899. Until this publication, all geometry, including such recent and sophisticated developments as hyperbolic and elliptic geometry, implied an intuitive idea of the concepts ‘point', ‘line', ‘plane', ‘between', ‘lies on' etc. Hilbert's Foundations was to satisfy the relatively new intellectual necessity of formally defining the status of pure geometry, as a branch of mathematics. Points, lines and planes are mere symbols, and relations between them are no more than formally defined relations between symbols, as stated in the early pages of his essay: "We think of ... points, straight lines, and planes as having certain mutual relations, which we indicate by means of such words as ‘are situated', ‘between', ‘parallel', ‘congruent', ‘continuous', etc. The complete and exact description of these relations follows as a consequence of the axioms of geometry." (DSB).
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Description

Octavo. Original ribbed red cloth, spine and front board lettered gilt.

Illustrations

With many figures in the text.

Condition

Front cover with dampmark, contents unaffected; very short tear to initial leaf with publisher's advertisment; a very good copy.

Confused? Read our glossary

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