First step to Mathematical Olympiad problems
Author(s)
Bibliographic Information
First step to Mathematical Olympiad problems
（Mathematical Olympiad series / series editors, Lee Peng Yee, Xiong Bin, v. 1）
World Scientific, c2010
- : pbk
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Note
Includes index
Description and Table of Contents
Description
The International Mathematical Olympiad (IMO) is an annual international mathematics competition held for pre-collegiate students. It is also the oldest of the international science olympiads, and competition for places is particularly fierce. This book is an amalgamation of the first 8 of 15 booklets originally produced to guide students intending to contend for placement on their country's IMO team. The material contained in this book provides an introduction to the main mathematical topics covered in the IMO, which are: Combinatorics, Geometry and Number Theory. In addition, there is a special emphasis on how to approach unseen questions in Mathematics, and model the writing of proofs. Full answers are given to all questions. Though "A First Step to Mathematical Olympiad Problems" is written from the perspective of a mathematician, it is written in a way that makes it easily comprehensible to adolescents. This book is also a must-read for coaches and instructors of mathematical competitions.
Table of Contents
- About Problem Solving
- The Pigeonhole Principle
- Elementary Graph Theory - Konigsberg, Euler, Hamilton, Planarity
- Basic Number Theory - Divisibility, Fermat's Little Theorem
- Geometry of Elementary Shapes
- Proof - By Contradiction and Induction
- Cartesian Geometry and Loci
- A Discussion of Some IMO Level Problems.
by "Nielsen BookData"
