Role of the Rationals in the Markov and Lagrange Spectra PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Role of the Rationals in the Markov and Lagrange Spectra PDF full book. Access full book title Role of the Rationals in the Markov and Lagrange Spectra by Yuan-Chwen You. Download full books in PDF and EPUB format.
Author: Yuan-Chwen You
Publisher:
ISBN:
Category : Markov processes
Languages : en
Pages : 102
Get Book Here
Book Description
Author: Yuan-Chwen You
Publisher:
ISBN:
Category : Markov processes
Languages : en
Pages : 102
Get Book Here
Book Description
Author: Davi Dos Santos Lima
Publisher: World Scientific
ISBN: 9811225303
Category : Mathematics
Languages : en
Pages : 228
Get Book Here
Book Description
The book intends to give a modern presentation of the classical Markov and Lagrange spectrum, which are fundamental objects from the theory of Diophantine approximations and of their several generalizations related to Dynamical Systems and Differential Geometry. Besides presenting many classical results, the book includes several topics of recent research on the subject, connecting several fields of Mathematics — Number Theory, Dynamical Systems and Fractal Geometry.It includes topics as:
Author: Thomas W. Cusick
Publisher: American Mathematical Soc.
ISBN: 9780821874851
Category : Lagrange spectrum
Languages : en
Pages : 150
Get Book Here
Book Description
Author: Martin Aigner
Publisher: Springer Science & Business Media
ISBN: 3319008889
Category : Mathematics
Languages : en
Pages : 257
Get Book Here
Book Description
This book takes the reader on a mathematical journey, from a number-theoretic point of view, to the realm of Markov’s theorem and the uniqueness conjecture, gradually unfolding many beautiful connections until everything falls into place in the proof of Markov’s theorem. What makes the Markov theme so attractive is that it appears in an astounding variety of different fields, from number theory to combinatorics, from classical groups and geometry to the world of graphs and words. On the way, there are also introductory forays into some fascinating topics that do not belong to the standard curriculum, such as Farey fractions, modular and free groups, hyperbolic planes, and algebraic words. The book closes with a discussion of the current state of knowledge about the uniqueness conjecture, which remains an open challenge to this day. All the material should be accessible to upper-level undergraduates with some background in number theory, and anything beyond this level is fully explained in the text. This is not a monograph in the usual sense concentrating on a specific topic. Instead, it narrates in five parts – Numbers, Trees, Groups, Words, Finale – the story of a discovery in one field and its many manifestations in others, as a tribute to a great mathematical achievement and as an intellectual pleasure, contemplating the marvellous unity of all mathematics.
Author: Carlos Gustavo Moreira
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 798
Get Book Here
Book Description
Author: Thomas W. Cusick
Publisher: American Mathematical Soc.
ISBN: 0821815318
Category : Mathematics
Languages : en
Pages : 109
Get Book Here
Book Description
This book is directed at mathematicians interested in Diophantine approximation and the theory of quadratic forms and the relationship of these subjects to Markoff and Lagrange spectra. The authors have gathered and systemized numerous results from the diverse and scattered literature, much of which has appeared in rather inaccessible Russian publications. Readers will find a comprehensive overview of the theory of the Markoff and Lagrange spectra, starting with the origins of the subject in two papers of A. Markoff from 1879-80. Most of the progress since that time has occurred in the last 20 years or so, when there has been a resurgence of interest in these spectra. The authors provide an excellent exposition of these developments, in addition to presenting many proofs and correcting various errors in the literature.
Author: Library of Congress. Copyright Office
Publisher: Copyright Office, Library of Congress
ISBN:
Category : Copyright
Languages : en
Pages : 1666
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 896
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Union catalogs
Languages : en
Pages : 816
Get Book Here
Book Description
