Results 261 to 270 of about 7,919 (306)

FOUNDATIONS OF ALGEBRAIC GEOMETRY

Russian Mathematical Surveys, 1969
This paper contains a general course on basic algebraic geometry, requiring only some knowing of polynomial and local algebra: the author has succeeded admirably in his purpose of reducing to a minimum the algebraic background, and in fact some relevant algebraic results are proved in geometric language.
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New Foundation of Euclidean Geometry

American Journal of Mathematics, 1931
My second paper on metrical geometry * contains a characterisation of the n-dimensional euclidean space among general semi-metrical spaces in terms of relations between the distances of its points. In courses on metrical geometry at American universities I have considerably shortened and revised my original proofs and generalized the formulations by ...
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Foundations of basic geometry

Resonance, 2006
The basic notions of length, area and volume were not alien to the prehistoric civilizations. The pyramids, palaces and great baths built more than 4000 years ago provide ample evidence. We begin our investigation of geometry with a discussion of areas of simple geometric objects.
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Foundations of Economic Geometry

SSRN Electronic Journal, 2014
Neo-classical economics as formulated by Paul Samuelson builds on the maximalization principle to explain much of classical economics. This observation can be understood in terms of modern symplectic geometry, which allows the application of very general techniques to the study of textbook economic systems.
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On the foundations of incidence geometry

Geometriae Dedicata, 1988
Diagram geometries and chamber systems of various types have been used and investigated intensively in recent years - not only in finite group theory, but in other areas as well. This development has led to a need for some clarification of the variations and generalizations introduced by the many authors, and for a discussion of the different axiomatic
Buekenhout, Francis, Buset, Dominique
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Minimal foundations of geometry

Siberian Mathematical Journal, 1994
The author presents an axiomatics for Euclidean geometry by using a set of points and a relation of congruence as basic notions. `Line' is a derived term, just as the relation of betweenness for straight lines. It should be pointed out that a great number of axiomatic approaches to Euclidean geometry is knwon.
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II. Foundations of Geometry

2016
An overview of the very extensive field which we now enter is afforded by the Enzyklopadie report by Federigo Enriques entitled Prinzipien der Geometrie (Enz. III A. B. 1). Investigations in the foundations of geometry often approach very closely the interests of the theory of knowledge and of psychology, which, from their viewpoints, study the origin ...
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On the foundation of geometry

1984
Verf. gibt einen axiomatische Aufbau der euklidischen Geometrie, wobei die Grundbegriffe die Punkte und die Strecke sind. In der Arbeit werden die folgenden Relationen gebracht: ein Punkt liegt auf einer Strecke, ein Punkt ist auf einer Strecke, ein Punkt ist ein Endpunkt einer Strecke, zwei Strecken sind gleich.
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Foundations of Boolean Valued Algebraic Geometry

Mathematical Logic Quarterly, 1991
Following the spirit of \textit{D. Saracino} and \textit{V. Weispfenning} [Lect. Notes Math. 498, 306-383 (1975; Zbl 0318.13032)] we present the rudiments of Boolean-valued algebraic geometry. The central topic is a Boolean-valued generalization of schemes.
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Nasopharyngeal carcinoma: an evolving paradigm

Nature Reviews Clinical Oncology, 2021
Kenneth C W Wong, Kwok-Wai Lo, Wai Kei Jacky Lam   +2 more
exaly