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Recent Advances in Geometric Inequalities

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Gebonden, 710 blz. | Engels
Springer Netherlands | 1989e druk, 1989
ISBN13: 9789027725653
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Juridisch :
Springer Netherlands 1989e druk, 1989 9789027725653
Onderdeel van serie Mathematics and its Applications
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Specificaties

ISBN13:9789027725653
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:710
Uitgever:Springer Netherlands
Druk:1989

Inhoudsopgave

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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        Recent Advances in Geometric Inequalities