
Topics in Geometric Inequalities
XYZ Press
Published on 30. March 2019
Book
Hardback
420 pages
978-0-9993428-3-1 (ISBN)
Description
As a sequel to 113 Geometric Inequalities from the AwesomeMath Summer Program, this book extends the themes discussed in the former book and broadens a problem-solver's competitive arsenal. Strategies from multiple fields, such as Algebra, Calculus, and pure Geometry provide the reader with varied methods useful in mathematics competitions. Starting with the fundamentals such as the triangle inequality and ""broken lines'', the book progresses increasingly to more sophisticated machinery such as the Averaging Method, Quadratic Forms, Finite Fourier Transforms, Level Curves, the Erdös-Mordell and Brunn-Minkowski Inequalities, as well as the Isoperimetric Theorem, to name a few. Rich theory and generalizations accompany the aforementioned topics to supply the reader with a rigorous exploration of fields associated with geometric inequalities.
More details
Language
English
Place of publication
TX
United States
Target group
College/higher education
Weight
788 gr
ISBN-13
978-0-9993428-3-1 (9780999342831)
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Schweitzer Classification
Persons
Titu Andreescu, University of Texas at Dallas.
Oleg Mushkarov, Bulgaria Academy of Science
Oleg Mushkarov, Bulgaria Academy of Science