Projective Geometry, Volume 1 - Couverture rigide

Young, John Wesley

Couverture rigide

ISBN 10 : 1340706415 ISBN 13 : 9781340706418

Editeur : Palala Press, 2015

A propos du livre

Présentation de l'éditeur

Geometry, which had been for centuries the most perfect example of a deductive science, during the creative period of the nineteenth century outgrew its old logical forms. The most recent period has however brought a clearer understanding of the logical foundations of mathematics and thus has made it possible for the exposition of geometry to resume the purely deductive form. But the treatment in the books which have hitherto appeared makes the work of laying the foundations seem so formidable as either to require for itself a separate treatise, or to be passed over without attention to more than the outlines. This is partly due to the fact that in giving the complete foundation for ordinary real or complex geometry, it is necessary to make a study of linear order and continuity, a study which is not only extremely delicate, but whose methods are those of the theory of functions of a real variable rather than of elementary geometry. The present work, which is to consist of two volumes and is intended to be available as a text in courses offered in American universities to upper-class and graduate students, seeks to avoid this difficulty by deferring the study of order and continuity to the second volume. The more elementary part of the subject rests on a very simple set of assumptions which characterize what may be called general projective geometry. It will be found that the theorems selected on this basis of logical simplicity are also elementary in the sense of being easily comprehended and often used. Even the limited space devoted in this volume to the foundations may seem a drawback from the pedagogical point of view of some mathematicians. To this we can only reply that, in our opinion, an adequate knowledge of geometry cannot be obtained without attention to the foundations. We believe, moreover, that the abstract treatment is peculiarly desirable in
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Détails de l'édition

• Éditeur: Palala Press
• Date d'édition: 2015
• Langue: anglais
• ISBN 10: 1340706415
• ISBN 13: 9781340706418
• Reliure: Relié
• Nombre de pages: 354
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible