Description

Book Synopsis
In China, lots of excellent students who are good at maths takes an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results — they have won the first place almost every year.The author is one of the coaches of China's IMO National Team, whose students have won many gold medals many times in IMO.This book is part of the Mathematical Olympiad Series which discusses several aspects related to maths contests, such as algebra, number theory, combinatorics, graph theory and geometry. The book elaborates on methods of discrete extremization, such as inequality control, repeated extremum, partial adjustment, exploiting symmetry, polishing transform, space estimates, etc.

Table of Contents
Inequality Control; Repeated Extremum; Partial Adjustment; Exploiting Symmetry; Polishing Transform; Space Estimates; Block Estimates; Guesses and Contradiction; Global Estimates; Parameter Estimates; Counting in Two Ways; Shrinking the Encirclement; Considering Special Cases; Solutions to Exercises;

Combinatorial Extremization: In Mathematical

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    A Hardback by Yuefeng Feng

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 16 April 2016
      ISBN-13 9789814730020
      978-9814730020
      ISBN-10 9814730025

      Description

      Book Synopsis
      In China, lots of excellent students who are good at maths takes an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results — they have won the first place almost every year.The author is one of the coaches of China's IMO National Team, whose students have won many gold medals many times in IMO.This book is part of the Mathematical Olympiad Series which discusses several aspects related to maths contests, such as algebra, number theory, combinatorics, graph theory and geometry. The book elaborates on methods of discrete extremization, such as inequality control, repeated extremum, partial adjustment, exploiting symmetry, polishing transform, space estimates, etc.

      Table of Contents
      Inequality Control; Repeated Extremum; Partial Adjustment; Exploiting Symmetry; Polishing Transform; Space Estimates; Block Estimates; Guesses and Contradiction; Global Estimates; Parameter Estimates; Counting in Two Ways; Shrinking the Encirclement; Considering Special Cases; Solutions to Exercises;

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