by Antonio Caminha Muniz Neto is a comprehensive three-volume series designed for students preparing for Mathematical Olympiads and advanced high school or first-semester undergraduate courses . Unlike simple problem sets, it focuses on building mathematical ideas from basic theoretical principles and proving propositions in detail. Series Overview
Overview * Combines an in-depth overview of the theory with problems presented at several Mathematical Olympiads around the world. Springer Nature Link An Excursion through Elementary Mathematics, Volume I
The final volume covers diverse "discrete" topics essential for competitive mathematics.
: Includes classical theorems on congruence, similarity, and the geometry of triangles (e.g., Menelaus and Ceva).
: Divisibility, prime numbers, Diophantine equations (including Pell’s equation), and congruence classes.
: Explores counting, graph theory, number theory, and the algebra of polynomials. Guide to Volume Content Volume I: Real Numbers and Functions
: Limits, derivatives, Riemann's integral, and series of functions.
Are you preparing for a , or would you like a deeper look at the topics in one of the individual volumes ? An Excursion through Elementary Mathematics, Volume III