An Excursion Through Elementary Mathematics, Vo... < PREMIUM ✦ >

: Trigonometry, analytic geometry, and vectors are integrated as tools for studying Euclidean space. Volume III: Discrete Mathematics and Polynomial Algebra

: Focuses on plane and solid geometry, trigonometry, and vectors in the plane.

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

: Limits, derivatives, Riemann's integral, and series of functions. The collection is structured into three distinct volumes,

This volume transitions from informal geometric constructions to a rigorous axiomatic method.

: Start with the basic principles provided at the beginning of each chapter. The series avoids "tricks" in favor of rigorous theory. The series avoids "tricks" in favor of rigorous theory

: Divisibility, prime numbers, Diophantine equations (including Pell’s equation), and congruence classes.