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Contents:
-
Combinatorics:
- A Quick Reminder
- Partial Fraction
- Geometric Progressions
- Extending the Binomial Theorem
- Recurrence Relations
- Generating Functions
- Of Rabbits and Postmen
- Solutions
-
Geometry 3:
- The Circumcircle
- Incircles
- Exercises
- The 6-Point Circle?
- The Euler Line and the Nine Point Circle
- Some More Examples
- Hints
- Solutions
- Glossary
-
Solving Problems:
- Introduction
- A Problem to Solve
- Mathematics: What is it?
- Back to Six Circles
- More on Research Methods
- Georg Polya
- Asking Questions
- Solutions
-
Number Theory 2:
- A Problem
- Euler's ?-function
- Back to Section 4.2
- Wilson
- Some More Problems
- Solutions
-
Means and Inequalities:
- Introduction
- Rules to Order the Reals By
- Means Arithmetic and Geometric
- More Means
- More Inequalities
- A Collection of Problems
- Solutions
-
Combinatorics 3:
- Introduction
- Inclusion-Exclusion
- Derangements (Revisited)
- Linear Diophantine Equations Again
- Non-taking Rooks
- The Board of Forbidden Positions
- Stirling Numbers
- Some Other Numbers
- Solutions
-
Creating Problems:
- Introduction
- Counting
- Packing
- Intersecting
- Chessboards
- Squigonometry
- The Equations of Squares
- Solutions
-
IMO Problems 2:
- Introduction
- AUS 3
- HEL 2
- TUR 4
- ROM 4
- USS 1
- Revue
- Hints — AUS 3
- Hints — HEL 2
- Hints — ROM 4
- Hints — USS 1
- Some More Olympiad Problems
- Solutions
Readership: School students keen to learn more of mathematics and specifically mathematics related to the IMO; coaches and instructors of mathematical competitions.
Key Features:
- An introduction to the main mathematical topics covered in the IMO
- Easily comprehensible to students
- Full solutions provided to all mathematical problems
