ISBN: 8301035137

Relié, [EAN: 9788301035136], D. Reidel Publishing Company + PWN, D. Reidel Publishing Company + PWN, Book, [PU: D. Reidel Publishing Company + PWN], D. Reidel Publishing Company + PWN, Th… Meer...

Relié, [EAN: 9788301035136], D. Reidel Publishing Company + PWN, D. Reidel Publishing Company + PWN, Book, [PU: D. Reidel Publishing Company + PWN], D. Reidel Publishing Company + PWN, The monograph is the result of the author's research concerning 'the best possible' axiomatic approach to affine and Euclidean geometry. The first part contains a full exposition of affine geometry based on the new primitive notion of parallelity instead of the traditional collinearity relation. This new approach is interesting from the point of view of model theory on the one hand, and of its didactic advantages on the other hand. The second part of the book is devoted to the affine planes of characteristic [not-equal-to] 2 and to the ordered affine planes. It contains the author's new results concerning midpoint algebras and linear orders. The third part concerns a new approach to elementary Euclidean geometry as a theory of the class of Euclidean planes over arbitrary 2-formally real fields (for the first time not necessarily commutative). The language of the book is very simple, clear and precise. The book is of interest to geometers, logicians and algebraists. It is suitable for graduate students., 302106, Mathématiques, 597130, Algèbre, 597132, Algèbre linéaire, 404768, Analyse, 597138, Calcul différentiel, 597140, Calcul intégral, 465004, Concours et examens, 465006, Géometrie et Trigonométrie, 597134, Logique, 404764, Probabilités, 404766, Statistiques, 597144, Topologie, 301141, Sciences, Techniques et Médecine, 301130, Thèmes, 301061, Livres<

ISBN: 8301035137

Gebundene Ausgabe, [EAN: 9788301035136], D. Reidel Publishing Company + PWN, D. Reidel Publishing Company + PWN, Book, [PU: D. Reidel Publishing Company + PWN], D. Reidel Publishing Compa… Meer...

Gebundene Ausgabe, [EAN: 9788301035136], D. Reidel Publishing Company + PWN, D. Reidel Publishing Company + PWN, Book, [PU: D. Reidel Publishing Company + PWN], D. Reidel Publishing Company + PWN, The monograph is the result of the author's research concerning 'the best possible' axiomatic approach to affine and Euclidean geometry. The first part contains a full exposition of affine geometry based on the new primitive notion of parallelity instead of the traditional collinearity relation. This new approach is interesting from the point of view of model theory on the one hand, and of its didactic advantages on the other hand. The second part of the book is devoted to the affine planes of characteristic [not-equal-to] 2 and to the ordered affine planes. It contains the author's new results concerning midpoint algebras and linear orders. The third part concerns a new approach to elementary Euclidean geometry as a theory of the class of Euclidean planes over arbitrary 2-formally real fields (for the first time not necessarily commutative). The language of the book is very simple, clear and precise. The book is of interest to geometers, logicians and algebraists. It is suitable for graduate students., 295100, Geometrie, 295101, Algebraische Geometrie, 519804, Algebraische Topologie, 290521, Mathematik, 288100, Fachbücher, 541686, Kategorien, 186606, Bücher<