: Real number sets, algebraic identities, systems of equations, and elementary inequalities.
: Covers the fundamental theory of real numbers, functions, and introductory real analysis.
: Use the extensive Appendix found in each volume, which provides hints and full solutions for difficult problems. An Excursion through Elementary Mathematics, Vo...
: Start with the basic principles provided at the beginning of each chapter. The series avoids "tricks" in favor of rigorous theory.
: Roots of polynomials, symmetric polynomials (Newton’s theorem), and linear recurrence relations. How to Use the Books : Real number sets, algebraic identities, systems of
: Limits, derivatives, Riemann's integral, and series of functions.
The collection is structured into three distinct volumes, each covering a major pillar of elementary mathematics at an Olympic level: : Start with the basic principles provided at
The final volume covers diverse "discrete" topics essential for competitive mathematics.