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A Second Step to Mathematical Olympiad Problems

Derek Holton
Publisher: 
World Scientific
Publication Date: 
2011
Number of Pages: 
299
Format: 
Paperback
Series: 
Mathematical Olympiad Series 7
Price: 
38.00
ISBN: 
978-981-4327-87-9
Category: 
Problem Book
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  • 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 Pólya
    • Asking Questions
    • Solutions
  • Number Theory 2:
    • A Problem
    • Euler's ϕ-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 — TUR 4
    • Hints — ROM 4
    • Hints — USS 1
    • Some More Olympiad Problems
    • Solutions