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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.



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

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.



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.



The Geometry of Numbers

The Geometry of Numbers Author C. D. Olds
ISBN-10 0883856433
Release 2000
Pages 174
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A self-contained introduction to the geometry of numbers.



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 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.



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.



ax omTM

ax   omTM Author Richard D. Jenks
ISBN-10 9781461229407
Release 2013-12-21
Pages 742
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Recent advances in hardware performance and software technology have made possible a wholly different approach to computational mathematics. Symbolic computation systems have revolutionized the field, building upon established and recent mathematical theory to open new possibilities in virtually every industry. Formerly dubbed Scratchpad, AXIOM is a powerful new symbolic and numerical system developed at the IBM Thomas J. Watson Research Center. AXIOM's scope, structure, and organization make it outstanding among computer algebra systems. AXIOM: The Scientific Computation System is a companion to the AXIOM system. The text is written in a straightforward style and begins with a spirited foreword by David and Gregory Chudnovsky. The book gives the reader a technical introduction to AXIOM, interacts with the system's tutorial, accesses algorithms newly developed by the symbolic computation community, and presents advanced programming and problem solving techniques. Eighty illustrations and eight pages of color inserts accompany text detailing methods used in the 2D and 3D interactive graphics system, and over 2500 example input lines help the reader solve formerly intractable problems.



Introductory Lectures on Knot Theory

Introductory Lectures on Knot Theory Author Louis H. Kauffman
ISBN-10 9789814313001
Release 2012
Pages 519
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More recently, Khovanov introduced link homology as a generalization of the Jones polynomial to homology of chain complexes and Ozsvath and Szabo developed Heegaard-Floer homology, that lifts the Alexander polynomial. These two significantly different theories are closely related and the dependencies are the object of intensive study. These ideas mark the beginning of a new era in knot theory that includes relationships with four-dimensional problems and the creation of new forms of algebraic topology relevant to knot theory. The theory of skein modules is an older development also having its roots in Jones discovery. Another significant and related development is the theory of virtual knots originated independently by Kauffman and by Goussarov Polyak and Viro in the '90s. All these topics and their relationships are the subject of the survey papers in this book.



The Geometry of Numbers

The Geometry of Numbers Author C. D. Olds
ISBN-10 0883856433
Release 2000
Pages 174
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A self-contained introduction to the geometry of numbers.



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.



Numbers Sequences and Series

Numbers  Sequences and Series Author Keith E. Hirst
ISBN-10 9780340610435
Release 1995
Pages 198
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Concerned with the logical foundations of number systems from integers to complex numbers.



Physical Knots

Physical Knots Author Jorge Alberto Calvo
ISBN-10 9780821832004
Release 2002
Pages 340
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Based on a Special Session at the AMS Sectional Meeting in Las Vegas (NV) in April 2001, this volume discusses critical questions and new ideas in the areas of knotting and folding of curves in surfaces in three-dimensional space and applications of these ideas to biology, chemistry, computer science, and engineering. Some of the papers are primarily theoretical; others are experimental. Some are purely mathematical; others deal with applications of mathematics to theoretical computer science, engineering, physics, biology, or chemistry. Connections are made between classical knot theory and the physical world of macromolecules, such as DNA, geometric linkages, rope, and even cooked spaghetti. This book introduces the world of physical knot theory in all its manifestations and points the way for new research. It is suitable for a diverse audience of mathematicians, computer scientists, engineers, biologists, chemists, and physicists.



The American Mathematical Monthly

The American Mathematical Monthly Author
ISBN-10 IOWA:31858019306434
Release 1920
Pages
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The American Mathematical Monthly has been writing in one form or another for most of life. You can find so many inspiration from The American Mathematical Monthly also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The American Mathematical Monthly book for free.