: Start with the basic principles provided at the beginning of each chapter. The series avoids "tricks" in favor of rigorous theory.
: Attempt the problems scattered throughout the chapters, which range from immediate applications to challenging competition problems.
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 An Excursion through Elementary Mathematics, Vo...
The collection is structured into three distinct volumes, each covering a major pillar of elementary mathematics at an Olympic level:
: Explores counting, graph theory, number theory, and the algebra of polynomials. Guide to Volume Content Volume I: Real Numbers and Functions : Start with the basic principles provided at
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
: Roots of polynomials, symmetric polynomials (Newton’s theorem), and linear recurrence relations. How to Use the Books by Antonio Caminha Muniz Neto is a comprehensive
: Use the extensive Appendix found in each volume, which provides hints and full solutions for difficult problems.