An Excursion Through Elementary Mathematics, Vo... May 2026

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

: Roots of polynomials, symmetric polynomials (Newton’s theorem), and linear recurrence relations. How to Use the Books An Excursion through Elementary Mathematics, Vo...

: Attempt the problems scattered throughout the chapters, which range from immediate applications to challenging competition problems. : Elementary and advanced counting

: Focuses on plane and solid geometry, trigonometry, and vectors in the plane. symmetric polynomials (Newton’s theorem)

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

This volume builds a bridge between high school algebra and undergraduate analysis.

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