Chapman and Hall/CRC Generalized Notions of Continued Fractions

Explore the deep connections between ergodic theory and number theory with this specialized mathematical text. From the historical foundations laid by Euclid, Fibonacci, and Euler to modern developments, this book tracks the evolution of continued fraction theory. It serves as a bridge between different mathematical disciplines, providing a modern perspective on a subject that has fascinated geniuses for centuries. Written for graduate students and senior researchers, this monograph examines several generalizations of continued fractions. It focuses on the fascinating relationships established in the field since the 1950s, making it a valuable resource for those studying the intersections of number theory and ergodic theory. This text provides the necessary depth for advanced academic study and research in mathematical science.