Lecture notes on mathematical olympiad courses : for junior section
Author(s)
Bibliographic Information
Lecture notes on mathematical olympiad courses : for junior section
(Mathematical Olympiad series / series editors, Lee Peng Yee, Xiong Bin, 6)
World Scientific, c2010
- v. 1
- v. 2
- : set
Available at 4 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
-
Hiroshima University Central Library, Interlibrary Loan
v. 1410.7:J-46:10100496754,
v. 2410.7:J-46:20100495820
Note
Includes index
Description and Table of Contents
Description
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.
Table of Contents
- Volume 1: Operations on Rational Numbers
- Linear Equations of Single Variable
- Multiplication Formulae
- Absolute Value and Its Applications
- Congruence of Triangles
- Similarity of Triangles
- Divisions of Polynomials
- Solutions to Testing Questions
- Volume 2: Congruence of Integers
- Decimal Representation of Integers
- Pigeonhole Principle
- Viete's Theorem and Its Applications
- Linear Inequalities and System of Linear Inequalities
- Inequalities with Absolute Values
- Geometric Inequalities
- Fundamental Properties of Circles
- Solutions to Testing Questions
- and other chapters.
by "Nielsen BookData"