Recent Advances in Geometric Inequalities

1. Auflage. Softcover version of original hardcover Auflage 1989
ISBN: 978-90-481-8442-2
Verlag: Springer Netherlands

Buch, Englisch, 710 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 1095 g

Reihe: Mathematics and its Applications

Springer Book Archives

Zielgruppe

Research

Autoren/Hrsg.

Mitrinovic, Dragoslav S.

Volenec, V.

Pecaric, J.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie
• Mathematik | Informatik Mathematik Topologie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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).