History Of Continued Fractions And Pad Approximants
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History Of Continued Fractions And Pad Approximants
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Author : Claude Brezinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
History Of Continued Fractions And Pad Approximants written by Claude Brezinski 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 2012-12-06 with Mathematics categories.
The history of continued fractions is certainly one of the longest among those of mathematical concepts, since it begins with Euclid's algorithm for the great est common divisor at least three centuries B.C. As it is often the case and like Monsieur Jourdain in Moliere's "Ie bourgeois gentilhomme" (who was speak ing in prose though he did not know he was doing so), continued fractions were used for many centuries before their real discovery. The history of continued fractions and Pade approximants is also quite im portant, since they played a leading role in the development of some branches of mathematics. For example, they were the basis for the proof of the tran scendence of 11' in 1882, an open problem for more than two thousand years, and also for our modern spectral theory of operators. Actually they still are of great interest in many fields of pure and applied mathematics and in numerical analysis, where they provide computer approximations to special functions and are connected to some convergence acceleration methods. Con tinued fractions are also used in number theory, computer science, automata, electronics, etc ...
Algorithms For Approximation
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Author : Armin Iske
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-13
Algorithms For Approximation written by Armin Iske 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 2006-12-13 with Mathematics categories.
Approximation methods are vital in many challenging applications of computational science and engineering. This is a collection of papers from world experts in a broad variety of relevant applications, including pattern recognition, machine learning, multiscale modelling of fluid flow, metrology, geometric modelling, tomography, signal and image processing. It documents recent theoretical developments which have lead to new trends in approximation, it gives important computational aspects and multidisciplinary applications, thus making it a perfect fit for graduate students and researchers in science and engineering who wish to understand and develop numerical algorithms for the solution of their specific problems. An important feature of the book is that it brings together modern methods from statistics, mathematical modelling and numerical simulation for the solution of relevant problems, with a wide range of inherent scales. Contributions of industrial mathematicians, including representatives from Microsoft and Schlumberger, foster the transfer of the latest approximation methods to real-world applications.
History Of Continued Fractions And Pad Approximants
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Author : Claude Brezinski
language : en
Publisher: Springer Verlag
Release Date : 1991
History Of Continued Fractions And Pad Approximants written by Claude Brezinski and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
The concept of continued fractions os one of the oldest in the history of mathematics. It can be traced back to Euclid's algorithm for the greatest common divisor or even earlier. Continued fractions and Pade approximants played an important role in the development of many branches of mathematics, such as the spectral theory of operators, and in the solution of famous problems, such as the quadrature of the circle.
Implementation And Application Of Automata
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Author : Michael Domaratzki
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-04
Implementation And Application Of Automata written by Michael Domaratzki 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 2011-02-04 with Computers categories.
This book constitutes the thoroughly refereed papers of the 15th International Conference on Implementation and Application of Automata, CIAA 2010, held in Manitoba, Winnipeg, Canada, in August 2010. The 26 revised full papers together with 6 short papers were carefully selected from 52 submissions. The papers cover various topics such as applications of automata in computer-aided verification; natural language processing; pattern matching, data storage and retrieval; bioinformatics; algebra; graph theory; and foundational work on automata theory.
Perspectives In Mathematical System Theory Control And Signal Processing
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Author : Jan C. Willems
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-02-28
Perspectives In Mathematical System Theory Control And Signal Processing written by Jan C. Willems 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 2010-02-28 with Science categories.
This Festschrift, published on the occasion of the sixtieth birthday of Yutaka - mamoto (‘YY’ as he is occasionally casually referred to), contains a collection of articles by friends, colleagues, and former Ph.D. students of YY. They are a tribute to his friendship and his scienti?c vision and oeuvre, which has been a source of inspiration to the authors. Yutaka Yamamoto was born in Kyoto, Japan, on March 29, 1950. He studied applied mathematics and general engineering science at the Department of Applied Mathematics and Physics of Kyoto University, obtaining the B.S. and M.Sc. degrees in 1972 and 1974. His M.Sc. work was done under the supervision of Professor Yoshikazu Sawaragi. In 1974, he went to the Center for Mathematical System T- ory of the University of Florida in Gainesville. He obtained the M.Sc. and Ph.D. degrees, both in Mathematics, in 1976 and 1978, under the direction of Professor Rudolf Kalman.
Discrete Geometry For Computer Imagery
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Author : David Coeurjolly
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-03
Discrete Geometry For Computer Imagery written by David Coeurjolly 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 2008-04-03 with Computers categories.
This book constitutes the refereed proceedings of the 14th IAPR TC-18 International Conference on Discrete Geometry for Computer Imagery, DGCI 2008, held in Lyon, France, in April 2008. The 23 revised full papers and 22 revised poster papers presented together with 3 invited papers were carefully reviewed and selected from 76 submissions. The papers are organized in topical sections on models for discrete geometry, discrete and combinatorial topology, geometric transforms, discrete shape representation, recognition and analysis, discrete tomography, morphological analysis, discrete modelling and visualization, as well as discrete and combinatorial tools for image segmentation and analysis.
Approximation Theory
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Author : Carl De Boor
language : en
Publisher: American Mathematical Soc.
Release Date : 1986
Approximation Theory written by Carl De Boor 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 1986 with Mathematics categories.
Presented at a 1986 AMS Short Course, this title contains papers that give a brief introduction to approximation theory and some of its areas of active research, both theoretical and applied. It is best understood by those with a standard first graduate course in real and complex analysis.
Rational Approximation In Systems Engineering
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Author : BULTHEEL
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Rational Approximation In Systems Engineering written by BULTHEEL 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 2013-11-11 with Social Science categories.
A Bibliography On Continued Fractions Pad Approximation Sequence Transformation And Related Subjects
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Author : Claude Brezinski
language : en
Publisher:
Release Date : 1991
A Bibliography On Continued Fractions Pad Approximation Sequence Transformation And Related Subjects written by Claude Brezinski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Continued fractions categories.
Numerical Analysis Historical Developments In The 20th Century
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Author : C. Brezinski
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Numerical Analysis Historical Developments In The 20th Century written by C. Brezinski and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.
Numerical analysis has witnessed many significant developments in the 20th century. This book brings together 16 papers dealing with historical developments, survey papers and papers on recent trends in selected areas of numerical analysis, such as: approximation and interpolation, solution of linear systems and eigenvalue problems, iterative methods, quadrature rules, solution of ordinary-, partial- and integral equations. The papers are reprinted from the 7-volume project of the Journal of Computational and Applied Mathematics on '/homepage/sac/cam/na2000/index.htmlNumerical Analysis 2000'. An introductory survey paper deals with the history of the first courses on numerical analysis in several countries and with the landmarks in the development of important algorithms and concepts in the field.