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Topics in Functional Equations

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Anyone involved in math Olympiads, either in the US or across the world, needs to have a firm grounding in functional equations, as they begin to appear more frequently in these contests. This book takes a systematic and comprehensive approach to functional equations as a whole. It utilizes a highly practical path to solving these equations, including lots of problems designed to teach students how to familiarize themselves with every strategy employed, as well as to experiment in combining and manipulating different techniques. This book contains all of the important functional equations given at national and international contests in recent years.

This book is a systematic and comprehensive approach to functional equations as a whole. Unlike in other branches of competitive mathematics, there is very little theory – rather, the methods and techniques utilized in solving these equations play the most important part. For this reason, the book has taken a highly practical path, including lots of problems designed to teach students how to familiarize themselves with every strategy employed, as well as to experiment in combining and manipulating different techniques. This work contains all the important functional equations given at contests in recent years, classified by the way they are solved. It explains the reasoning behind each method, and offers advice on how to invent meaningful solutions.

Συγγραφείς: Nikolov Nikolai, Andreescu Titu, Oleg Mushkarov, Boreico Iurie
Εκδότης: XYZ PRESS
Σελίδες: 505
ISBN: 9780999342862
Εξώφυλλο: Σκληρό Εξώφυλλο
Αριθμός Έκδοσης: 3
Έτος έκδοσης: 2019

Institute of Mathematics and Informatics, Bulgarian Academy of Sciences

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.

Ph.D. Program, Mathematics, Stanford University 
BA, Harvard, 2011
Moldovan IMO Deputy Leader (2009)
IMO Gold medal (2004, 2005, 2006), Silver medal (2003, 2007)

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