: Proofs are used to tackle complex national and international Olympiad problems. Volume II: Euclidean Geometry

: Explores counting, graph theory, number theory, and the algebra of polynomials. Guide to Volume Content Volume I: Real Numbers and Functions

The final volume covers diverse "discrete" topics essential for competitive mathematics.

: Covers the fundamental theory of real numbers, functions, and introductory real analysis.

: Elementary and advanced counting, bijections, recursive arguments, and generating functions.

: Use the extensive Appendix found in each volume, which provides hints and full solutions for difficult problems.