Lecture Notes On Mathematical Olympiad Courses: For Junior Section (In 2 Volumes) - Volume 2: For Junior Section - Volume 2

by Xu Jiagu

Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education.

This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics.

In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications. Besides, appropriate number of test questions is available for reader's practice and testing purpose. Their detailed solutions are also conveniently provided.

The examples are not very complicated so that readers can easily understand. There are many real competition questions included which students can use to verify their abilities. These test questions are from many countries, e.g. China, Russia, USA, Singapore, etc. In particular, the reader can find many questions from China, if he is interested in understanding mathematical Olympiad in China.

This book serves as a useful textbook of mathematical Olympiad courses, or as a reference book for related teachers and researchers.

Contents
Volume 2:
Congruence of Integers Decimal Representation of Integers Pigeonhole Principle Linear Inequality and System of Linear Inequalities Inequalities with Absolute Values Geometric Inequalities Solutions to Testing Questions
and other chapters
Readership: Mathematics students, school teachers, college lecturers, university professors; mathematics enthusiasts.

242 pages, Kindle Edition

First published December 11, 2009

Reviews

[Mike · Rating 3 out of 5]

I am comparing this book to the first volume of the junior section, the reason I do not give it four stars or higher is that the book is more concise than volume one so it is much more easy to get lost it the examples given. No doubt you will have to read this volume a few more times to get the full meaning of it. Now obviously being an Olympiad book you can't expect to be seeing this material for the first time and understand it. The book covers the pigeonhole principle, something I have never seen before and had a very hard time understanding it. This is the book to get for Olympiad level number theory problems, it has modular arithmetic, Diophantine equations, pigeonhole principle as stated, etc. I do recommend this book and will be using it again at a later date, just be prepared to read it.