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| Author | : Leo Jerome Lange |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 404 |
| Release | : 1999-07-28 |
| Genre | : Mathematics |
| ISBN | : 9780821855720 |
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This volume presents the contributions from the international conference held at the University of Missouri at Columbia, marking Professor Lange's 70th birthday and his retirement from the university. The principal purpose of the conference was to focus on continued fractions as a common interdisciplinary theme bridging gaps between a large number of fields--from pure mathematics to mathematical physics and approximation theory. Evident in this work is the widespread influence of continued fractions in a broad range of areas of mathematics and physics, including number theory, elliptic functions, Pade approximations, orthogonal polynomials, moment problems, frequency analysis, and regularity properties of evolution equations. Different areas of current research are represented. The lectures at the conference and the contributions to this volume reflect the wide range of applicability of continued fractions in mathematics and the applied sciences.
| Author | : Bruce C. Berndt |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 402 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 0821812009 |
Download Continued Fractions: From Analytic Number Theory to Constructive Approximation Book in PDF, ePub and Kindle
This volume presents the contributions from the international conference held at the University of Missouri at Columbia, marking Professor Lange's 70th birthday and his retirement from the university. The principal purpose of the conference was to focus on continued fractions as a common interdisciplinary theme bridging gaps between a large number of fields-from pure mathematics to mathematical physics and approximation theory. Evident in this work is the widespread influence of continued fractions in a broad range of areas of mathematics and physics, including number theory, elliptic functions, Padé approximations, orthogonal polynomials, moment problems, frequency analysis, and regularity properties of evolution equations. Different areas of current research are represented. The lectures at the conference and the contributions to this volume reflect the wide range of applicability of continued fractions in mathematics and the applied sciences.
| Author | : Bruce Carl Berndt (Mathematiker, USA) |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1999 |
| Genre | : Continued fractions |
| ISBN | : 9780821878279 |
Download Continued Fractions Book in PDF, ePub and Kindle
| Author | : Bruce C. Berndt |
| Publisher | : |
| Total Pages | : 402 |
| Release | : 1999 |
| Genre | : Continued fractions |
| ISBN | : |
Download Continued Fractions From Analytic Number Theory to Constructive Approximation Book in PDF, ePub and Kindle
| Author | : Aleksandr I?Akovlevich Khinchin |
| Publisher | : Courier Corporation |
| Total Pages | : 116 |
| Release | : 1997-05-14 |
| Genre | : Mathematics |
| ISBN | : 9780486696300 |
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Elementary-level text by noted Soviet mathematician offers superb introduction to positive-integral elements of theory of continued fractions. Clear, straightforward presentation of the properties of the apparatus, the representation of numbers by continued fractions, and the measure theory of continued fractions. 1964 edition. Prefaces.
| Author | : Hubert Stanley Wall |
| Publisher | : Courier Dover Publications |
| Total Pages | : 449 |
| Release | : 2018-05-16 |
| Genre | : Mathematics |
| ISBN | : 0486823695 |
Download Analytic Theory of Continued Fractions Book in PDF, ePub and Kindle
One of the most authoritative and comprehensive books on continued fractions, this monograph presents a unified theory correlating certain parts and applications of the subject within a larger analytic structure. 1948 edition.
| Author | : Doug Hensley |
| Publisher | : World Scientific |
| Total Pages | : 261 |
| Release | : 2006-03-01 |
| Genre | : Mathematics |
| ISBN | : 9814479438 |
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The Euclidean algorithm is one of the oldest in mathematics, while the study of continued fractions as tools of approximation goes back at least to Euler and Legendre. While our understanding of continued fractions and related methods for simultaneous diophantine approximation has burgeoned over the course of the past decade and more, many of the results have not been brought together in book form. Continued fractions have been studied from the perspective of number theory, complex analysis, ergodic theory, dynamic processes, analysis of algorithms, and even theoretical physics, which has further complicated the situation.This book places special emphasis on continued fraction Cantor sets and the Hausdorff dimension, algorithms and analysis of algorithms, and multi-dimensional algorithms for simultaneous diophantine approximation. Extensive, attractive computer-generated graphics are presented, and the underlying algorithms are discussed and made available.
| Author | : A. M. Rockett |
| Publisher | : World Scientific |
| Total Pages | : 202 |
| Release | : 1992-08-01 |
| Genre | : Mathematics |
| ISBN | : 9789810210526 |
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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.
| Author | : George E. Andrews |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 438 |
| Release | : 2005-12-06 |
| Genre | : Mathematics |
| ISBN | : 038728124X |
Download Ramanujan's Lost Notebook Book in PDF, ePub and Kindle
In the library at Trinity College, Cambridge in 1976, George Andrews of Pennsylvania State University discovered a sheaf of pages in the handwriting of Srinivasa Ramanujan. Soon designated as "Ramanujan’s Lost Notebook," it contains considerable material on mock theta functions and undoubtedly dates from the last year of Ramanujan’s life. In this book, the notebook is presented with additional material and expert commentary.
| Author | : Jonathan M. Borwein |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 395 |
| Release | : 2013-05-16 |
| Genre | : Mathematics |
| ISBN | : 1461466423 |
Download Number Theory and Related Fields Book in PDF, ePub and Kindle
“Number Theory and Related Fields” collects contributions based on the proceedings of the "International Number Theory Conference in Memory of Alf van der Poorten," hosted by CARMA and held March 12-16th 2012 at the University of Newcastle, Australia. The purpose of the conference was to promote number theory research in Australia while commemorating the legacy of Alf van der Poorten, who had written over 170 papers on the topic of number theory and collaborated with dozens of researchers. The research articles and surveys presented in this book were written by some of the most distinguished mathematicians in the field of number theory, and articles will include related topics that focus on the various research interests of Dr. van der Poorten.
