Explore advanced mathematical concepts including recursion, induction, well-ordering, transfinite methods through IMO-level problems and step-by-step solutions for competition preparation
Chapter 15: IMO Probabilistic Methods and Stochastic Processes
Discover advanced probabilistic methods in mathematics, including probability theory, expected value, random variables, probabilistic methods and their applications in competitive math
Chapter 14: IMO Linear Algebra in Olympiad Problems
Explore advanced linear algebra concepts including vector spaces, tensors, multilinear algebra, geometric applications through challenging IMO problems with step-by-step solutions
Chapter 9: IMO Modern Graph Theory and Applications
Discover advanced concepts in modern graph theory, including extremal graph theory, Ramsey theory, probabilistic methods, structural theory. Learn key applications in mathematics