Recent Advances in Geometric Inequalities

Mitrinovic, D. S.; Pecaric, J. E.; Volenec, V.

ISBN 10: 9027725659 / ISBN 13: 9789027725653

Verlag: Springer, 1989

Bestandsnummer des Verkäufers 2168464-n

Inhaltsangabe:

The Existence of a Triangle.- Duality between Geometric Inequalities and Inequalities for Positive Numbers.- Homogeneous Symmetric Polynomial Geometric Inequalities.- Duality between Different Triangle Inequalities and Triangle Inequalities with (R, r, s).- Transformations for the Angles of a Triangle.- Some Trigonometric Inequalities.- Some Other Transformations.- Convex Functions and Geometric Inequalities.- Miscellaneous Inequalities with Elements of a Triangle.- Special Triangles.- Triangle and Point.- Inequalities with Several Triangles.- The Möbius-Neuberg and the Möbius-Pompeiu Theorems.- Inequalities for Quadrilaterals.- Inequalities for Polygons.- Inequalities for a Circle.- Particular Inequalities in Plane Geometry.- Inequalities for Simplexes in En (n ? 2).- Inequalities for Tetrahedra.- Other Inequalities in En (n ? 2).

Bibliografische Details

Titel: Recent Advances in Geometric Inequalities
Verlag: Springer
Erscheinungsdatum: 1989
Einband: Hardcover
Zustand: New