The Markoff And Lagrange Spectra

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The Markoff And Lagrange Spectra

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Author : Thomas W. Cusick
language : en
Publisher: American Mathematical Soc.
Release Date : 1989

The Markoff And Lagrange Spectra written by Thomas W. Cusick and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.

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.

Classical And Dynamical Markov And Lagrange Spectra Dynamical Fractal And Arithmetic Aspects

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Author : Davi Dos Santos Lima
language : en
Publisher: World Scientific
Release Date : 2020-09-18

Classical And Dynamical Markov And Lagrange Spectra Dynamical Fractal And Arithmetic Aspects written by Davi Dos Santos Lima and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-18 with Mathematics categories.

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:

Number Theory With An Emphasis On The Markoff Spectrum

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Author : Andrew Pollington
language : en
Publisher: Routledge
Release Date : 2017-10-05

Number Theory With An Emphasis On The Markoff Spectrum written by Andrew Pollington and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-05 with Mathematics categories.

Presenting the proceedings of a recently held conference in Provo, Utah, this reference provides original research articles in several different areas of number theory, highlighting the Markoff spectrum.;Detailing the integration of geometric, algebraic, analytic and arithmetic ideas, Number Theory with an Emphasis on the Markoff Spectrum contains refereed contributions on: general problems of diophantine approximation; quadratic forms and their connections with automorphic forms; the modular group and its subgroups; continued fractions; hyperbolic geometry; and the lower part of the Markoff spectrum.;Written by over 30 authorities in the field, this book should be a useful resource for research mathematicians in harmonic analysis, number theory algebra, geometry and probability and graduate students in these disciplines.

Role Of The Rationals In The Markov And Lagrange Spectra

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Author : Yuan-Chwen You
language : en
Publisher:
Release Date : 1976

Role Of The Rationals In The Markov And Lagrange Spectra written by Yuan-Chwen You and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Markov processes categories.

Markov S Theorem And 100 Years Of The Uniqueness Conjecture

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Author : Martin Aigner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-18

Markov S Theorem And 100 Years Of The Uniqueness Conjecture written by Martin Aigner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-18 with Mathematics categories.

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.

Library Of Congress Subject Headings

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Author : Library of Congress
language : en
Publisher:
Release Date : 1990

Library Of Congress Subject Headings written by Library of Congress and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Subject headings, Library of Congress categories.

P Z

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Author : Library of Congress. Office for Subject Cataloging Policy
language : en
Publisher:
Release Date : 1990

P Z written by Library of Congress. Office for Subject Cataloging Policy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Subject headings, Library of Congress categories.

Library Of Congress Subject Headings

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Author : Library of Congress. Cataloging Policy and Support Office
language : en
Publisher:
Release Date : 2009

Library Of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Subject headings, Library of Congress categories.

Open Problems In Algebraic Combinatorics

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Author : Christine Berkesch
language : en
Publisher: American Mathematical Society
Release Date : 2024-08-21

Open Problems In Algebraic Combinatorics written by Christine Berkesch and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-21 with Mathematics categories.

In their preface, the editors describe algebraic combinatorics as the area of combinatorics concerned with exact, as opposed to approximate, results and which puts emphasis on interaction with other areas of mathematics, such as algebra, topology, geometry, and physics. It is a vibrant area, which saw several major developments in recent years. The goal of the 2022 conference Open Problems in Algebraic Combinatorics 2022 was to provide a forum for exchanging promising new directions and ideas. The current volume includes contributions coming from the talks at the conference, as well as a few other contributions written specifically for this volume. The articles cover the majority of topics in algebraic combinatorics with the aim of presenting recent important research results and also important open problems and conjectures encountered in this research. The editors hope that this book will facilitate the exchange of ideas in algebraic combinatorics.

Integrable Systems And Algebraic Geometry

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Author : Ron Donagi
language : en
Publisher: Cambridge University Press
Release Date : 2020-04-02

Integrable Systems And Algebraic Geometry written by Ron Donagi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-02 with Mathematics categories.

A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.