The Foundations of Geometry
Format: Paperback
ISBN13: 9781086594751
Paperback|9781086594751
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Overview
The material contained in the following translation was given in substance by Professor Hilbertas a course of lectures on euclidean geometry at the University of Gottingen during the wintersemester of 1898-1899. The results of his investigation were re-arranged and put into the formin which they appear here as a memorial address published in connection with the celebration atthe unveiling of the Gauss-Weber monument at G]ottingen, in June, 1899. In the French edition, which appeared soon after, Professor Hilbert made some additions, particularly in the concludingremarks, where he gave an account of the results of a recent investigation made by Dr. Dehn.These additions have been incorporated in the following translation.As a basis for the analysis of our intuition of space, Professor Hilbert commences his discussionby considering three systems of things which he calls points, straight lines, and planes, and setsup a system of axioms connecting these elements in their mutual relations. The purpose of hisinvestigations is to discuss systematically the relations of these axioms to one another and also thebearing of each upon the logical development of euclidean geometry. Among the important resultsobtained, the following are worthy of special mention:
| ISBN-13 | 9781086594751 |
|---|---|
| ISBN-10 | 1086594754 |
| Weight | 0.53 Pounds |
| Dimensions | 11.02 x 8.50 x 0.19 In |
| List Price | $170.99 |
| Format | Paperback |
|---|---|
| Language | English |
| Pages | 94 pages |
| Publisher | |
| Published On | 2019-08-01 |
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