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Topics in Geometric Inequalities

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Cross discipline discoveries with multiple solutions provided makes Topics in Geometric Inequalities a must have for dedicated problem solvers and will strengthen the reader’s ability to analyze, dissect, and invent creative methods – all skills that are necessary to succeed in mathematics competitions while also learning innovative and powerful techniques in geometric arguments.

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 Erdφs-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.

Συγγραφείς: Andreescu Titu, Oleg Mushkarov
Εκδότης: XYZ PRESS
Σελίδες: 420
ISBN: 9780999342831
Εξώφυλλο: Σκληρό Εξώφυλλο
Αριθμός Έκδοσης: 1
Έτος έκδοσης: 2019

Dr. Titu Andreescu is an Associate Professor at the University of Texas at Dallas in the Science and Mathematics Education department.

Kathy Cordeiro, MBA, is a leading developer of education initiatives for business and academia. She founded Eudaimonia Academy, where she coached mathematics teams and worked with highly and profoundly gifted students.

Alina Andreescu, MA, is the co-founder and Operations Director of AwesomeMath and founder of XYZ Press. She fosters an international community of staff, students, and instructors that values critical thinking, creativity, passionate problem solving, and lifetime mathematical learning.

Bulgarian Academy of Science; Institute of Mathematics and Informatics

Dr. Mushkarov is a full professor at the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences (IMI-BAS) and a corresponding member of BAS. Currently, he is the Head of the Analysis, Geometry and Topology Department and Deputy Director of IMI-BAS. His main research interests are in the areas of Complex Analysis, Complex Differential Geometry, and Twistor theory.
Another important aspect of Oleg’s professional involvements is his work with mathematically gifted high school students. He himself benefited from the Bulgarian system of identifying mathematical talents at an early age leading to his participation in IMO’1969, Romania. Since then he has been involved in numerous activities dealing with nurturing and developing young mathematical talents.

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