An Excursion Through Elementary Mathematics, Vo... -

: Includes classical theorems on congruence, similarity, and the geometry of triangles (e.g., Menelaus and Ceva).

: Roots of polynomials, symmetric polynomials (Newton’s theorem), and linear recurrence relations. How to Use the Books

This volume builds a bridge between high school algebra and undergraduate analysis. An Excursion through Elementary Mathematics, Vo...

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

: Start with the basic principles provided at the beginning of each chapter. The series avoids "tricks" in favor of rigorous theory. : Includes classical theorems on congruence, similarity, and

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

: Real number sets, algebraic identities, systems of equations, and elementary inequalities. Overview * Combines an in-depth overview of the

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