Ardent Books

Basics of Math Olympiad: Problem Solving Guide for High School Students. Volume 1: Number Theory (ISBN: 978-983-44678-0-7) Basics of Math Olympiad: Problem Solving Guide for High School Students. Volume 2: Algebra (ISBN: 978-983-44678-1-4) Basics of Math Olympiad: Problem Solving Guide for High School Students. Volume 3: Combinatorics (ISBN: 978-983-44678-2-1) Basics of Math Olympiad: Problem Solving Guide for High School Students. Volume 4: Geometry (ISBN: 978-983-44678-3-8)

The Basics of Math Olympiad series covers the fundamentals of mathematical problem solving in four accessible volumes. This series is highly recommended as a starter text for students and math enthusiasts who are interested to master the finer points of mathematical problem solving, as well as to prepare for Mathematics Olympiad competitions.

The lessons in this series assume minimal background knowledge, and are organized in twelve easy-to-follow chapters, each complete with examples, exercises and problems. This is the first book of its kind to be published in Malaysia.

The author is the head trainer of the Malaysia team to the International Mathematical Olympiad (IMO).

The volumes in this series are:

* Basics of Math Olympiad: Problem Solving Guide for High School Students. Volume 1: Number Theory (ISBN: 978-983-44678-0-7)
o Chapter 1: Prime Numbers
o Chapter 2: Fundamental Theorem of Arithmetic
o Chapter 3: Applications of the FTA
o Chapter 4: Factorizations
o Chapter 5: Divisibility
o Chapter 6: Divisibility Tests I
o Chapter 7: Divisibility Tests II
o Chapter 8: Last Digit Analysis
o Chapter 9: Modulo Arithmetic
o Chapter 10: Diophantine Equations
* Basics of Math Olympiad: Problem Solving Guide for High School Students. Volume 2: Algebra (ISBN: 978-983-44678-1-4)
o Chapter 1: Number Sets and Notations
o Chapter 2: Difference of Powers
o Chapter 3: Sum of Powers
o Chapter 4: Arithmetic and Geometric Sequences
o Chapter 5: Telescoping Sums and Products
o Chapter 6: Basic Inequality
o Chapter 7: Cauchy-Schwarz Inequality
o Chapter 8: Mean Inequality
o Chapter 9: Quadratic Equations
o Chapter 10: Equations
* Basics of Math Olympiad: Problem Solving Guide for High School Students. Volume 3: Combinatorics (ISBN: 978-983-44678-2-1)
o Chapter 1: Clever Counting
o Chapter 2: Counting Principles
o Chapter 3: Permutations
o Chapter 4: Combinations
o Chapter 5: Binomial Coefficients
o Chapter 6: Binomial Theorem
o Chapter 7: Fibonacci Numbers
o Chapter 8: Bijective Proof
o Chapter 9: Pigeonhole Principle I
o Chapter 10: Pigeonhole Principle II
* Basics of Math Olympiad: Problem Solving Guide for High School Students. Volume 4: Geometry (ISBN: 978-983-44678-3-8)
o Chapter 1: Lines and Points
o Chapter 2: Angles
o Chapter 3: Area
o Chapter 4: Circles
o Chapter 5: Similar Figures
o Chapter 6: Triangle I
o Chapter 7: Triangle II
o Chapter 8: Cyclic Quadrilaterals
o Chapter 9: Assorted Theorems I
o Chapter 10: Assorted Theorems II

* MRSM Mathematical Olympiad (ISBN: 978-983-44678-4-5)
* Himpunan Soalan-Soalan dan Penyelesaian Olimpiad Matematik Kebangsaan 1998-2005 (ISBN: 978-967-305-351-0)
* Rakan Matematik (Pengalaman Rusia) (ISBN: 978-967-10529-0-7)

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