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

Recent Advances in Geometric Inequalities

• Broschiertes Buch

Produktbeschreibung

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).

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Produktdetails

• Mathematics and Its Applications 28
• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 978-90-481-8442-2
• Softcover reprint of the original 1st ed. 1989
• Seitenzahl: 736
• Erscheinungstermin: 17. September 2011
• Englisch
• Abmessung: 235mm x 155mm x 40mm
• Gewicht: 1017g
• ISBN-13: 9789048184422
• ISBN-10: 9048184428
• Artikelnr.: 32094644

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).

Rezensionen

`For the immediate future, however, this book should be (possibly chained!) in every university and college library, and, yes, in the library of every school which is intent on improving its mathematics teaching.'
The Americal Mathematical Monthly, December 1991

`This book should make interesting reading for philosophers of mathematics, if they want to observe how mathematical ideas really develop.'
Advances in Mathematics, 86, 1991

`For the immediate future, however, this book should be (possibly chained!) in every university and college library, and, yes, in the library of every school which is intent on improving its mathematics teaching.' The Americal Mathematical Monthly, December 1991 `This book should make interesting reading for philosophers of mathematics, if they want to observe how mathematical ideas really develop.' Advances in Mathematics, 86, 1991