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Lecture Notes on Mathematical Olympiad Courses: For Senior Section Volume 2

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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
16 Mathematical Induction
17 Arithmetic Progressions and Geometric Progressions
18 Recursive Sequence
19 Summation of Various Sequences
20 Some Fundamental Theorems on Congruence
21 Chinese Remainder Theorem and Order of Integer
22 Diophantine Equations (III)
23 Pythagorean Triples and Pell's Equations
24 Quadratic Residues
25 Some Important Inequalities (I)
26 Some Important Inequalities (II)
27 Some Methods for Solving Inequalities
28 Some Basic Methods in Counting (I)
29 Some Basic Methods in Counting (II)
30 Introduction to Functional Equations

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510 XU l V-2

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Detail Information

Series Title

Mathematical Olympiad Series

Call Number

510 XU l V-2

Publisher

Singapore : World Scientific Publishing., 2012

Collation

xiv, 282p.; 15 x 23 cm.

Language

English

ISBN/ISSN

978-981-4368-96-4

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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