Explore advanced mathematical concepts including recursion, induction, well-ordering, transfinite methods through IMO-level problems and step-by-step solutions for competition preparation
Chapter 19: IMO Discrete and Metric Geometry
Explore essential concepts of combinatorial geometry, discrete geometry, convex analysis, metric spaces through IMO-level problems and solutions for advanced mathematics students
Chapter 18: IMO Invariance and Symmetry Principles
Discover advanced techniques for solving IMO problems using invariants, monovariants, symmetry groups, conservation laws, group actions. Master key principles for competition math.
Chapter 17: IMO Construction and Existence Methods
Learn essential IMO techniques including constructive methods, existence proofs, extremal principles, contradiction. Master advanced problem-solving strategies for math competitions.
Chapter 16: IMO Advanced Geometry and Topology
Explore advanced mathematical concepts in analytic geometry, differential geometry, algebraic geometry, topology basics. Master key principles and theorems for IMO competition success