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Recent Advances in Geometric Inequalities (Mathematics and its Applications, Band 28) - Softcover

Mitrinovic, Dragoslav S. S.; Pecaric, J.; Volenec, V.

 
9789048184422: Recent Advances in Geometric Inequalities (Mathematics and its Applications, Band 28)

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).

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