Recent Advances in Geometric Inequalities
Published on 17. September 2011
Book
Paperback/Softback
XX, 710 pages
978-90-481-8442-2 (ISBN)
Description
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).
Reviews / Votes
` 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
More details
Series
Edition
Softcover reprint of the original 1st ed. 1989
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
XX, 710 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 40 mm
Weight
1095 gr
ISBN-13
978-90-481-8442-2 (9789048184422)
DOI
10.1007/978-94-015-7842-4
Schweitzer Classification
Other editions
Additional editions
Dragoslav S. Mitrinovic | J. Pecaric | V. Volenec
Recent Advances in Geometric Inequalities
Book
03/1989
Kluwer Academic Publishers
€106.99
Shipment within 15-20 days
Persons
Content
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).