Mathematical Reflections: the first two years

This work is a compilation and revision of the 2006 and 2007 volumes from the online journal of the same name. Since its inception in January 2006, the journal has attracted readers and contributors from all over the world. It successfully brings together enthusiasts with different mathematical and cultural backgrounds for the common purpose of making mathematics even more beautiful and exciting. The journal publishes six issues each year.

This book is aimed at high school students, participants in math competitions, undergraduates, as well as anyone who has a fire for mathematics. Many of the problems, solutions, and articles were submitted by passionate readers. They require creativity, experience, and comprehensive mathematical knowledge. The junior section features introductory problems. The senior and Olympiad sections are for students preparing for contests such as the USAMO or the IMO. The undergraduate section offers college students a unique opportunity to solve non-routine problems in areas such as linear algebra, calculus or graph theory.