Название: Introduction to Math Olympiad Problems
Автор: Michael A. Radin
Издательство: Chapman and Hall/CRC
Год: 2021
Страниц: 160
Язык: английский
Формат: pdf (true)
Размер: 10.6 MB

Introduction to Math Olympiad Problems aims to introduce high school students to all the necessary topics that frequently emerge in international Math Olympiad competitions. In addition to introducing the topics, the book will also provide several repetitive-type guided problems to help develop vital techniques in solving problems correctly and efficiently. The techniques employed in the book will help prepare students for the topics they will typically face in an Olympiad-style event, but also for future college mathematics courses in Discrete Mathematics, Graph Theory, Differential Equations, Number Theory and Abstract Algebra.

The aim of this textbook is to train and prepare students to compete in Math Olympiads by presenting the essential fundamentals of various topics such as angular geometry, triangular geometry, integers’ characteristics, factoring, patterns and sequences, recursive sequences, algebraic proofs, proof by induction, Pascal’s triangle, binomial expansion, Venn diagrams and graph theory. Each topic will commence with the understanding of when and how to apply the basic fundamentals to solve challenging multi-step and multitasking problems. We will encounter that every problem reduces to understanding and implementing specific principle(s).

Features:

• Numerous problems designed to embed good practice in readers, and build underlying reasoning, analysis and problem-solving skills
  
• Suitable for advanced high school students preparing for Math Olympiad competitions