An Excursion Through Elementary Mathematics, Vo... Info

: Explores counting, graph theory, number theory, and the algebra of polynomials. Guide to Volume Content Volume I: Real Numbers and Functions

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

: Start with the basic principles provided at the beginning of each chapter. The series avoids "tricks" in favor of rigorous theory. An Excursion through Elementary Mathematics, Vo...

The final volume covers diverse "discrete" topics essential for competitive mathematics.

This volume builds a bridge between high school algebra and undergraduate analysis. : Explores counting, graph theory, number theory, and

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

: Focuses on plane and solid geometry, trigonometry, and vectors in the plane. The series avoids "tricks" in favor of rigorous theory

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