TY  - BOOK
AU  - Jiagu,Xu
TI  - Lecture notes on mathematical olympiad courses: for junior section, volume 1 & 2 
T2  - Mathematical Olympiad series,
U1  - 510.76 
PY  - 2010///
CY  - Singapore
PB  - World Scientific Publishing Co.
KW  - International Mathematical Olympiad
KW  - Mathematics
KW  - Problems, exercises, etc
KW  - Competitions
N1  - Includes index; 1. Operations on rational numbers
2. Monomials and polynomials
3. Linear equations of single variable
4. System of simultaneous linear equations
5. Multiplication formulae
6. Some methods of factorization
7. Absolute value and its applications
8. Linear equations with absolute values
9. Sides and angles of a triangle
10. Pythagoras' theorem and its applications
11. Congruence of triangles
12. Applications of midpoint theorems
13. Similarity of triangles
14. Areas of triangles and applications of area
15. Divisions of polynomials
16. Quadratic Surd expressions and their operations
17. Compound quadratic Surd form [symbol]
18. Congruence of integers
19. Decimal representation of integers
20. Perfect square numbers
21. Pigeonhole principle
22. [symbol] and [symbol]
23. Diophantine equations (I)
24. Roots and discriminant of quadratic equation ax[symbol] + bx + c = 0
25. Relation between roots and coefficients of quadratic equations
26. Diophantine equations (II)
27. Linear inequality and system of linear inequalities
28. Quadratic inequalities and fractional inequalities
29. Inequalities with absolute values
30. Geometric inequalities; Lecture notes on mathematical olympiad courses; for junior section volume 1
; Lecture notes on mathematical olympiad courses; for junior section volume 2; Access may be limited to ProQuest affiliated libraries; Electronic reproduction. Ann Arbor, MI : ProQuest, 2015
N2  - 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
UR  - https://ebookcentral.proquest.com/lib/gla/detail.action?docID=1679395
ER  -