Master complex functional equations, iterative functions, equations, and functional-differential concepts through comprehensive IMO-level examples and 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
Chapter 8: IMO Advanced Combinatorial Theory
Explore advanced combinatorial concepts including bijections, generating functions, Stirling numbers, partition theory, PIE for IMO-level competitive mathematics preparation
Chapter 7: IMO Classical and Modern Inequality Techniques
Learn essential inequality techniques including AM-GM, Cauchy-Schwarz, Jensen, Hölder, power means, integral inequalities to master IMO-level mathematics and solve complex problems.
Chapter 6: IMO Higher Algebra and Abstract Structures
Dive into advanced algebra concepts including polynomials, complex numbers, field theory, Galois theory, abstract algebra. Master essential mathematical structures for IMO preparation