Michael A. Radin Bücher

Introduction to Math Olympiad Problems aims to introduce high school students to all the necessary topics that frequently emerge in international Math Olympiad competitions. In addition to introducing the topics, the book will also provide several repetitive-type guided problems to help develop vital techniques in solving problems correctly and efficiently. The techniques employed in the book will help prepare students for the topics they will typically face in an Olympiad-style event, but also for future college mathematics courses in Discrete Mathematics, Graph Theory, Differential Equations, Number Theory and Abstract Algebra.

Focusing on discrete periodic patterns in recursive sequences, this textbook explores first, second, and higher order difference equations. It targets advanced undergraduate and graduate students with a foundational knowledge in Calculus I and Discrete Mathematics. The book serves as a core text for courses in Difference Equations and Discrete Dynamical Systems, featuring over 200 exercises that enhance understanding through practical application and proofs. Readers will gain insights into periodic cycles and transient terms, equipping them for future research in the field.