Generalized Notions of Continued Fractions is popular PDF and ePub book, written by Juan Fernández Sánchez in 2023-07-20, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Generalized Notions of Continued Fractions can be Read Online from any device for your convenience.
Generalized Notions of Continued Fractions Book PDF Summary
Ancient times witnessed the origins of the theory of continued fractions. Throughout time, mathematical geniuses such as Euclid, Aryabhata, Fibonacci, Bombelli, Wallis, Huygens, or Euler have made significant contributions to the development of this famous theory, and it continues to evolve today, especially as a means of linking different areas of mathematics. This book, whose primary audience is graduate students and senior researchers, is motivated by the fascinating interrelations between ergodic theory and number theory (as established since the 1950s). It examines several generalizations and extensions of classical continued fractions, including generalized Lehner, simple, and Hirzebruch-Jung continued fractions. After deriving invariant ergodic measures for each of the underlying transformations on [0,1] it is shown that any of the famous formulas, going back to Khintchine and Levy, carry over to more general settings. Complementing these results, the entropy of the transformations is calculated and the natural extensions of the dynamical systems to [0,1]2 are analyzed. Features Suitable for graduate students and senior researchers Written by international senior experts in number theory Contains the basic background, including some elementary results, that the reader may need to know before hand, making it a self-contained volume
Detail Book of Generalized Notions of Continued Fractions PDF
- Author : Juan Fernández Sánchez
- Release : 20 July 2023
- Publisher : CRC Press
- ISBN : 9781000907582
- Genre : Mathematics
- Total Page : 154 pages
- Language : English
- PDF File Size : 9,7 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Generalized Notions of Continued Fractions by Juan Fernández Sánchez, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.