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Lecture Notes on Mathematical Olympiad Courses: For Senior Section Volume 1

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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 beyond the usual syllabus, but introduces a variety of concepts and methods in modern mathematics as well.In each lecture, the concepts, theories and methods are taken as the core. The examples serve to explain and enrich their intentions and to indicate their applications. Besides, appropriate number of test questions is available for the readers' practice and testing purpose. Their detailed solutions are also conveniently provided. The examples are not very complicated so readers can easily understand. There are many real competition questions included which students can use to verify their abilities. These test questions originate from many countries all over the world. This book will serve as a useful textbook of mathematical Olympiad courses, a self-study lecture notes for students, or as a reference book for related teachers and researchers.

CONTENTS
1 Fractional Equations
2 Higher Degree Polynomial Equations
3 Irrational Equations
4 Indicial Functions and Logarithmic Functions
5 Trigonometric Functions
6 Law of Sines and Law of Cosines
7 Manipulations of trigonometric Expressions
8 Extreme Values of Functions and Mean Inequality
9 Extreme Value Problems in Trigonometry
10 Fundamental Properties if Circles
11 Relation of Line and circle and Relation of Circles
12 Cyclic Polygons
13 Power of a Point with Respects to a Circle
14 Some Important Theorems in Geometry
15 Five Centers of a Triangle

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510 XU l V-1

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Detail Information

Series Title

Mathematical Olympiad Series

Call Number

510 XU l V-1

Publisher

Singapore : World Scientific Publishing., 2012

Collation

xiv, 246p.; 15 x 23 cm.

Language

English

ISBN/ISSN

978-981-4368-95-7

Classification

510

Content Type

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Media Type

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Carrier Type

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Edition

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Subject(s)

MATHEMATICS
MATHEMATICS - COMPETITIONS

Specific Detail Info

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