The Foundations of Geometry - Couverture souple

David Hilbert

Couverture souple

ISBN 10 : 1603860088 ISBN 13 : 9781603860086

Editeur : Merchant Books, 2007

Synopsis

An Unabridged Printing, To Include Updated Typeface - Chapters: The Five Groups Of Axioms - The Compatibility And Mutual Independence Of The Axioms - The Theory Of Proportion - The Theory Of Plane Areas - Desargue's Theorem - Pascal's Theorem - Geometrical Constructions Based Upon The Axioms I-V - Conclusion - Appendix

A propos du livre

Présentation de l'éditeur

Dtained in the following translation was given in substance by Professor Hilbert as a course of lectures on euclidean geometry at the University ot Gotlingen during the winter semester of 1898-1899. The results of his investigation were re-arranged and put into the form in which I hey appear here as a memorial address published in connection with the celebration at the unveiling of the Gauss-W eber monument at GB ttingen, in June, 1899, In I he Frencli edition, which appeared soon after, Professor Hilbert made some additions, particularly in the concluding remarks, where he gave an account ot 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 discussion by considering three systems of things which he calls points, straight lines, and planes, and sets up a system of axioms connecting these elements in their mutual relations. The purpose of his investigations is to discuss systematically the relations of these axioms to one another and also the bearing of each upon the logical development of euclidean geometry. A mong the important results obtained, the following are worthy of special mention; I. The mutual independence and also the compatibility of the given system of axioms is fully discussed by the aid of various new systems ot geometry which are introduced. 1. The most important propositions of euclidean geometry are demonstrated in such a manner as to show precisely what axioms underlie and make possible the demonstration. J, The axioms of congruence are introduced and made the basis of the definition of geometric displacement. 4.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, Histo

Présentation de l'éditeur

This is a pre-1923 historical reproduction that was curated for quality. Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have occasional errors that do not impede the reading experience. We believe this work is culturally important and have elected to bring the book back into print as part of our continuing commitment to the preservation of printed works worldwide. This text refers to the Bibliobazaar edition.

Détails de l'édition

• Éditeur: Merchant Books
• Date d'édition: 2007
• ISBN 10: 1603860088
• ISBN 13: 9781603860086
• Reliure: Broché
• Langue: anglais
• Nombre de pages: 96
• Coordonnées du fabricant: non disponible