Elementary Mathematics, Vo... — An Excursion Through

: Limits, derivatives, Riemann's integral, and series of functions.

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

: Proofs are used to tackle complex national and international Olympiad problems. Volume II: Euclidean Geometry : Limits, derivatives, Riemann's integral, and series of

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

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