Pub. Date:
Springer Netherlands
Recent Advances in Geometric Inequalities / Edition 1

Recent Advances in Geometric Inequalities / Edition 1

by Dragoslav S. Mitrinovic, J. Pecaric, V. Volenec
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Product Details

ISBN-13: 9789048184422
Publisher: Springer Netherlands
Publication date: 09/17/2011
Series: Mathematics and its Applications , #28
Edition description: Softcover reprint of the original 1st ed. 1989
Pages: 710
Product dimensions: 6.10(w) x 9.25(h) x 0.06(d)

Table of Contents

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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