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 M¿bius-Neuberg and the M¿bius-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).
Autorius: | Dragoslav S. Mitrinovic, V. Volenec, J. Pecaric, |
Serija: | Mathematics and Its Applications |
Leidėjas: | Springer Netherlands |
Išleidimo metai: | 2011 |
Knygos puslapių skaičius: | 736 |
ISBN-10: | 9048184428 |
ISBN-13: | 9789048184422 |
Formatas: | Knyga minkštu viršeliu |
Kalba: | Anglų |
Žanras: | Geometry |
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