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Continued Fractions

Continued Fractions Author C. D. Olds
ISBN-10 088385600X
Release 1963
Pages 162
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Continued Fractions has been writing in one form or another for most of life. You can find so many inspiration from Continued Fractions also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Continued Fractions book for free.



Continued Fractions

Continued Fractions Author A. M. Rockett
ISBN-10 9810210523
Release 1992-08-01
Pages 200
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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.



Geometry of Continued Fractions

Geometry of Continued Fractions Author Oleg Karpenkov
ISBN-10 9783642393686
Release 2013-08-15
Pages 405
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Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas of mathematics. This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximation, algebraic number theory, and toric geometry. The reader will find an overview of current progress in the geometric theory of multidimensional continued fractions accompanied by currently open problems. Whenever possible, we illustrate geometric constructions with figures and examples. Each chapter has exercises useful for undergraduate or graduate courses.



New Mathematical Library

New Mathematical Library Author
ISBN-10 UCAL:B3978732
Release 1970
Pages
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New Mathematical Library has been writing in one form or another for most of life. You can find so many inspiration from New Mathematical Library also informative, and entertaining. Click DOWNLOAD or Read Online button to get full New Mathematical Library book for free.



Continued Fractions with Applications

Continued Fractions with Applications Author Lisa Lorentzen
ISBN-10 UOM:39076001255129
Release 1992
Pages 606
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This book is aimed at two kinds of readers: firstly, people working in or near mathematics, who are curious about continued fractions; and secondly, senior or graduate students who would like an extensive introduction to the analytic theory of continued fractions. The book contains several recent results and new angles of approach and thus should be of interest to researchers throughout the field. The first five chapters contain an introduction to the basic theory, while the last seven chapters present a variety of applications. Finally, an appendix presents a large number of special continued fraction expansions. This very readable book also contains many valuable examples and problems.



First Concepts of Topology

First Concepts of Topology Author William G. Chinn
ISBN-10 0883856182
Release 1966-01-01
Pages 160
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Presents topology as a unifying force for larger areas of mathematics through its application in existence theorems.



Neverending Fractions

Neverending Fractions Author Jonathan Borwein
ISBN-10 9780521186490
Release 2014-07-03
Pages 224
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This introductory text covers a variety of applications to interest every reader, from researchers to amateur mathematicians.



Continued Fractions

Continued Fractions Author Doug Hensley
ISBN-10 9789812774682
Release 2006
Pages 245
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This book is the first authoritative and up-to-date survey of the history of Iraq from earliest times to the present in any language. It presents a concise narrative of the rich and varied history of this land, drawing on political, social, economic, artistic, technological, and intellectual material. It also includes excerpts from works of ancient, medieval, and modern literature written in Iraq, some of which are translated for the first time into English. The final chapters provide an introduction to the history of archaeology in Iraq, set in the wider context of the development of archaeology into a scientific discipline. A special section highlights selected objects from the Iraq Museum, with emphasis on their cultural significance and current status in the aftermath of the looting in April 2003. The last chapter offers a unique guide to the complex international and national legal regimes for the protection of cultural heritage. The American-led invasion and occupation of Iraq are a turning point in Iraq's modern history, with important cultural consequences for all periods of its past. For all who seek to understand more fully the current situation, this book includes discussion of cultural and legal issues of the war and occupation, placing recent events in their full context.



Continued Fractions

Continued Fractions Author Aleksandr I?Akovlevich Khinchin
ISBN-10 0486696308
Release 1964
Pages 95
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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.



Continued Fractions

Continued Fractions Author
ISBN-10 STANFORD:36105049304772
Release 1961
Pages
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Continued Fractions has been writing in one form or another for most of life. You can find so many inspiration from Continued Fractions also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Continued Fractions book for free.



Continued Fractions

Continued Fractions Author William B. Jones
ISBN-10 0521101522
Release 2009-02-19
Pages 460
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This is an exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational methods.



History of Continued Fractions and Pad Approximants

History of Continued Fractions and Pad   Approximants Author Claude Brezinski
ISBN-10 9783642581694
Release 2012-12-06
Pages 551
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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 ...



Handbook of Continued Fractions for Special Functions

Handbook of Continued Fractions for Special Functions Author Annie A.M. Cuyt
ISBN-10 1402069499
Release 2008-04-12
Pages 431
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Special functions are pervasive in all fields of science and industry. The most well-known application areas are in physics, engineering, chemistry, computer science and statistics. Because of their importance, several books and websites (see for instance http: functions.wolfram.com) and a large collection of papers have been devoted to these functions. Of the standard work on the subject, the Handbook of mathematical functions with formulas, graphs and mathematical tables edited by Milton Abramowitz and Irene Stegun, the American National Institute of Standards claims to have sold over 700 000 copies! But so far no project has been devoted to the systematic study of continued fraction representations for these functions. This handbook is the result of such an endeavour. We emphasise that only 10% of the continued fractions contained in this book, can also be found in the Abramowitz and Stegun project or at the Wolfram website!



Mathematical Methods in Science

Mathematical Methods in Science Author George Pólya
ISBN-10 0883856263
Release 1977
Pages 234
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This book captures some of Pólya's excitement and vision. Its distinctive feature is the stress on the history of certain elementary chapters of science; these can be a source of enjoyment and deeper understanding of mathematics even for beginners who have little, or perhaps no, knowledge of physics.



Diophantine Approximations

Diophantine Approximations Author Ivan Niven
ISBN-10 9780486164700
Release 2013-01-23
Pages 80
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This self-contained treatment covers approximation of irrationals by rationals, product of linear forms, multiples of an irrational number, approximation of complex numbers, and product of complex linear forms. 1963 edition.



The Historical Roots of Elementary Mathematics

The Historical Roots of Elementary Mathematics Author Lucas N. H. Bunt
ISBN-10 9780486139685
Release 2012-12-11
Pages 336
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Exciting, hands-on approach to understanding fundamental underpinnings of modern arithmetic, algebra, geometry and number systems examines their origins in early Egyptian, Babylonian, and Greek sources.



Polynomials

Polynomials Author E.J. Barbeau
ISBN-10 0387406271
Release 2003-11-03
Pages 455
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This book provides a backdrop for study in calculus, modern algebra, numerical analysis and complex variable theory, through examples. Includes some 300 problems drawn from journals, contests, and examinations to test understanding, ingenuity, and skill.