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Research works of Romanian mathematicians on Centro-Affine Geometry
(2005)
Vasile
Cruceanu
At the end of the last century, some of the important problems of Euclidean di®erential geometry were completely settled.
Balkan Journal of Geometry and Its Applications
Periodical
Mathematics
...............................................................
Research works of Romanian mathematicians on Centro-Affine Geometry
(2005)
Vasile
Cruceanu
Starting from problems of Euclidean geometry, researchers were guided to properties and configurations with larger character as for example: affine, projective or conformal.
Balkan Journal of Geometry and Its Applications
Periodical
Mathematics
...............................................................
Research works of Romanian mathematicians on Centro-Affine Geometry
(2005)
Vasile
Cruceanu
A centro-affine space can be considered as a projective space in which we have a fixed point O called center and a hyperplane  called hyperplane at infinity.
Balkan Journal of Geometry and Its Applications
Periodical
Mathematics
...............................................................
Research works of Romanian mathematicians on Centro-Affine Geometry
(2005)
Vasile
Cruceanu
The transformations preserving the point 0 and hyperplane  are called centro-affine transformations.
Balkan Journal of Geometry and Its Applications
Periodical
Mathematics
...............................................................
Research works of Romanian mathematicians on Centro-Affine Geometry
(2005)
Vasile
Cruceanu
The first who investigated centroa
±ne geometry of curves and surfaces was Gh. Tzitzeica.
Balkan Journal of Geometry and Its Applications
Periodical
Mathematics
...............................................................
Research works of Romanian mathematicians on Centro-Affine Geometry
(2005)
Vasile
Cruceanu
Starting from a problem concerning the deformations of Euclidean surfaces Gh. Tzitzeica finds in 1907 a class of surfaces (S1) characterized by the property that the metric invariant I1 = Kd¡4, where K is the total curvature in a point M and d is the distance from the tangent space in M to a fixed point, is a constant.
Balkan Journal of Geometry and Its Applications
Periodical
Mathematics
...............................................................
Research works of Romanian mathematicians on Centro-Affine Geometry
(2005)
Vasile
Cruceanu
Taking into account the isomorphism between a centro-a±ne space and a vectorial space it is expected that researches of centro-a±ne geometry appear in a geometrization of functional analysis.
Balkan Journal of Geometry and Its Applications
Periodical
Mathematics
...............................................................
Learning Stories and Children's Powerful Mathematics
(2007)
Bob
Perry
Sue
Dockett
Elspeth
Harley
Mathematization: The process of generating mathematical problems, concepts, and ideas from real-world situations and using mathematics to attempt a solution to the problems so derived is called mathematization.
Early Childhood Research & Practice
Electronic
Mathematics
...............................................................
Learning Stories and Children's Powerful Mathematics
(2007)
Bob
Perry
Sue
Dockett
Elspeth
Harley
Argumentation: The process that allows children to justify their own mathematical thinking and to understand that of other people is called argumentation.
Early Childhood Research & Practice
Electronic
Mathematics
...............................................................
Learning Stories and Children's Powerful Mathematics
(2007)
Bob
Perry
Sue
Dockett
Elspeth
Harley
Algebraic reasoning: In the early childhood years, much algebraic reasoning is embodied in work on patterns and relationships. Concepts such as equality, sequence, variability, and symbolization are also relevant.
Early Childhood Research & Practice
Electronic
Mathematics
...............................................................



