A review of Hilbert's book fundamentals of geometry

Document Type : Promotional Paper

Author

Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran

Abstract

This article provides a review of the book "Foundations of Geometry" by David Hilbert. It examines the historical aspects, motivations, and achievements of writing this book.

Keywords

Main Subjects


[1] L. Corry, David Hilbert and axiomatization of physics, (1898-1918), Dordrecht: Kluwer, 2004.
[2] J. Dieudonneé, History of algebraic geometry, translated by: J. Saly, Wadsworth series, 1985.
[3] D. Hilbert, The Foundations of Geometry, translated by: E. I. Townsend, Illinois, 1950.
[4] E. H. Moore, On the projective axioms of geometry, Trans. AMS, 3(1902) 142–158.
[5] H. Poincaré, Science and Hypothesis, translated by W. J. G, The Walter Scott publishing Co., 1905
[6] H. Poincaré, Poincaré’s review of Hilbert’s “ foundations of geometry”, Bull. Amer. Math. Soc., 10 (1903) 1–23.
[7] J. Sommer, Hilbert’s Foundations of Geometry, Bull. Amer. Math. Soc., 6 (1900) 287–299.
[8] A. Tarski, A decision method for Elementary algebra and geometry, University of California press, 1951.
[9] I. M. Yaglom, Geometric Transformations, M. H. Shafii, Tehran, 1991.
[10]  S. Etemad, Didgahha and Borhanha, Tehran, 3rd ed. 2012.
Volume 4, Issue 4 - Serial Number 4
December 2019
Pages 23-30
  • Receive Date: 10 April 2020
  • Revise Date: 02 September 2020
  • Accept Date: 03 September 2020
  • Publish Date: 20 February 2020