Discover essential techniques for solving inequalities, extremal, variational, functional inequalities, optimization problems in IMO training and advance your mathematical prowess
Chapter 4: IMO Geometric Transformations and Modern Approaches
Discover advanced geometric transformations, homothety, inversion, projections, duality through IMO-level problems. Master modern approaches for competition mathematics
Chapter 3: IMO Advanced Geometric Methods and Theories
Explore advanced geometric methods including projective geometry, complex geometry, inversive geometry, affine geometry in IMO preparation. Master key concepts and theorems
Chapter 2: IMO Modular Theory and Higher Number Systems
Explore advanced modular arithmetic, Chinese Remainder Theorem, p-adic analysis, fields in competitive mathematics. Master essential concepts for IMO-level problem solving
Chapter 1: IMO Advanced Number Theory and Arithmetic Structures
Explore advanced number theory and arithmetic structures in competitive math. Learn fundamental theorems, modular arithmetic, and problem-solving techniques for IMO preparation