This book presents the arithmetic and metrical theory of regular continued fractions and is intended to be a modern version of A. Ya. Khintchine's classic of the same title. Besides new and simpler proofs for many of the standard topics, numerous numerical examples and applications are included (the continued fraction of e, Ostrowski representations and t-expansions, period lengths of quadratic surds, the general Pell's equation, homogeneous and inhomogeneous diophantine approximation, Hall's theorem, the Lagrange and Markov spectra, asymmetric approximation, etc). Suitable for upper level undergraduate and beginning graduate students, the presentation is self-contained and the metrical results are developed as strong laws of large numbers.
Pay easily by card, Klarna, Apple Pay or Google Pay. Not happy? You always have a 14-day money-back guarantee. Read more in our terms. If you have any questions, email us at hello@memmo.org.
Memmo makes studying easier – wherever you are in the world. We bring your course books and smart study tools together in one place: summaries, quizzes, podcasts and flashcards. Plus Ted, your study buddy who answers anything you wonder. Over 75,000 students already study here – built to help you learn faster and stress less.