Putnam and Beyond

This book serves as a study guide for the Putnam Mathematics Competition and as a transition from high school problem-solving to university level mathematical research. Putnam and Beyond fills the need for problem-based texts that specifically target the Putnam exams.

---

Putnam and Beyond takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis in one and several variables, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research.