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Author : R. J. Kooman
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (897 download)
Download or read book Convergence Properties of Linear Recurrence Sequences written by R. J. Kooman and published by . This book was released on 1989 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. J. Kooman (mathématicien)
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.3/5 (91 download)
Download or read book Convergence Properties of Recurrence Sequences written by R. J. Kooman (mathématicien) and published by . This book was released on 1991 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Jan Kooman
Publisher :
ISBN 13 :
Total Pages : 102 pages
Book Rating : 4.:/5 (256 download)
Download or read book Convergence Properties of Recurrence Sequences written by Robert Jan Kooman and published by . This book was released on 1960 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert J. Kooman
Publisher :
ISBN 13 :
Total Pages : 102 pages
Book Rating : 4.:/5 (246 download)
Download or read book Convergence Properties of Recurrence Sequences written by Robert J. Kooman and published by . This book was released on 1989 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dorin Andrica
Publisher : Springer Nature
ISBN 13 : 3030515028
Total Pages : 410 pages
Book Rating : 4.0/5 (35 download)
Download or read book Recurrent Sequences written by Dorin Andrica and published by Springer Nature. This book was released on 2020-09-23 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text presents state-of-the-art results on recurrent sequences and their applications in algebra, number theory, geometry of the complex plane and discrete mathematics. It is designed to appeal to a wide readership, ranging from scholars and academics, to undergraduate students, or advanced high school and college students training for competitions. The content of the book is very recent, and focuses on areas where significant research is currently taking place. Among the new approaches promoted in this book, the authors highlight the visualization of some recurrences in the complex plane, the concurrent use of algebraic, arithmetic, and trigonometric perspectives on classical number sequences, and links to many applications. It contains techniques which are fundamental in other areas of math and encourages further research on the topic. The introductory chapters only require good understanding of college algebra, complex numbers, analysis and basic combinatorics. For Chapters 3, 4 and 6 the prerequisites include number theory, linear algebra and complex analysis. The first part of the book presents key theoretical elements required for a good understanding of the topic. The exposition moves on to to fundamental results and key examples of recurrences and their properties. The geometry of linear recurrences in the complex plane is presented in detail through numerous diagrams, which lead to often unexpected connections to combinatorics, number theory, integer sequences, and random number generation. The second part of the book presents a collection of 123 problems with full solutions, illustrating the wide range of topics where recurrent sequences can be found. This material is ideal for consolidating the theoretical knowledge and for preparing students for Olympiads.
Author : Michael Drmota
Publisher : Springer
ISBN 13 : 354068333X
Total Pages : 517 pages
Book Rating : 4.5/5 (46 download)
Download or read book Sequences, Discrepancies and Applications written by Michael Drmota and published by Springer. This book was released on 2006-11-14 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to give an overview of the developments during the last 20 years in the theory of uniformly distributed sequences. The authors focus on various aspects such as special sequences, metric theory, geometric concepts of discrepancy, irregularities of distribution, continuous uniform distribution and uniform distribution in discrete spaces. Specific applications are presented in detail: numerical integration, spherical designs, random number generation and mathematical finance. Furthermore over 1000 references are collected and discussed. While written in the style of a research monograph, the book is readable with basic knowledge in analysis, number theory and measure theory.
Author : R.L. Graham
Publisher : Elsevier
ISBN 13 : 008093384X
Total Pages : 2404 pages
Book Rating : 4.0/5 (89 download)
Download or read book Handbook of Combinatorics written by R.L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 2404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics
Author : Graham Everest
Publisher : American Mathematical Soc.
ISBN 13 : 1470423154
Total Pages : 338 pages
Book Rating : 4.4/5 (74 download)
Download or read book Recurrence Sequences written by Graham Everest and published by American Mathematical Soc.. This book was released on 2015-09-03 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics are described, including combinatorics, dynamical systems and cryptography, and computer science. The book is suitable for researchers interested in number theory, combinatorics, and graph theory.
Author : C. Brezinski
Publisher : Elsevier
ISBN 13 : 0080506224
Total Pages : 475 pages
Book Rating : 4.0/5 (85 download)
Download or read book Extrapolation Methods written by C. Brezinski and published by Elsevier. This book was released on 2013-10-24 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a self-contained, exhaustive exposition of the extrapolation methods theory, and of the various algorithms and procedures for accelerating the convergence of scalar and vector sequences. Many subroutines (written in FORTRAN 77) with instructions for their use are provided on a floppy disk in order to demonstrate to those working with sequences the advantages of the use of extrapolation methods. Many numerical examples showing the effectiveness of the procedures and a consequent chapter on applications are also provided – including some never before published results and applications. Although intended for researchers in the field, and for those using extrapolation methods for solving particular problems, this volume also provides a valuable resource for graduate courses on the subject.
Author : Bahman Kalantari
Publisher : World Scientific
ISBN 13 : 9812811834
Total Pages : 492 pages
Book Rating : 4.8/5 (128 download)
Download or read book Polynomial Root-Finding and Polynomiography written by Bahman Kalantari and published by World Scientific. This book was released on 2009 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers fascinating and modern perspectives into the theory and practice of the historical subject of polynomial root-finding, rejuvenating the field via polynomiography, a creative and novel computer visualization that renders spectacular images of a polynomial equation. Polynomiography will not only pave the way for new applications of polynomials in science and mathematics, but also in art and education. The book presents a thorough development of the basic family, arguably the most fundamental family of iteration functions, deriving many surprising and novel theoretical and practical applications such as: algorithms for approximation of roots of polynomials and analytic functions, polynomiography, bounds on zeros of polynomials, formulas for the approximation of Pi, and characterizations or visualizations associated with a homogeneous linear recurrence relation. These discoveries and a set of beautiful images that provide new visions, even of the well-known polynomials and recurrences, are the makeup of a very desirable book. This book is a must for mathematicians, scientists, advanced undergraduates and graduates, but is also for anyone with an appreciation for the connections between a fantastically creative art form and its ancient mathematical foundations.
Author :
Publisher :
ISBN 13 :
Total Pages : 402 pages
Book Rating : 4.3/5 (91 download)
Download or read book CWI Quarterly written by and published by . This book was released on 1992 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R M Ali
Publisher : World Scientific
ISBN 13 : 9814549738
Total Pages : 374 pages
Book Rating : 4.8/5 (145 download)
Download or read book Computational Methods And Function Theory 1994 - Proceedings Of The Conference written by R M Ali and published by World Scientific. This book was released on 1995-10-18 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics discussed at the conference revolved around the interaction of computational methods and theoretical function theory, as well as recent advances and developments in both fields. The talks ranged from analytic function theory to approximation theory to numerical conformal mapping and other computational methods.
Author : Marie J. Bertin
Publisher : Birkhäuser
ISBN 13 : 3034886322
Total Pages : 297 pages
Book Rating : 4.0/5 (348 download)
Download or read book Pisot and Salem Numbers written by Marie J. Bertin and published by Birkhäuser. This book was released on 2012-12-06 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: the attention of The publication of Charles Pisot's thesis in 1938 brought to the mathematical community those marvelous numbers now known as the Pisot numbers (or the Pisot-Vijayaraghavan numbers). Although these numbers had been discovered earlier by A. Thue and then by G. H. Hardy, it was Pisot's result in that paper of 1938 that provided the link to harmonic analysis, as discovered by Raphael Salem and described in a series of papers in the 1940s. In one of these papers, Salem introduced the related class of numbers, now universally known as the Salem numbers. These two sets of algebraic numbers are distinguished by some striking arith metic properties that account for their appearance in many diverse areas of mathematics: harmonic analysis, ergodic theory, dynamical systems and alge braic groups. Until now, the best known and most accessible introduction to these num bers has been the beautiful little monograph of Salem, Algebraic Numbers and Fourier Analysis, first published in 1963. Since the publication of Salem's book, however, there has been much progress in the study of these numbers. Pisot had long expressed the desire to publish an up-to-date account of this work, but his death in 1984 left this task unfulfilled.
Author :
Publisher : American Mathematical Society(RI)
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.3/5 (91 download)
Download or read book Reviews in Number Theory, 1984-96 written by and published by American Mathematical Society(RI). This book was released on 1998 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: These six volumes include approximately 20,000 reviews of items in number theory that appeared in Mathematical Reviews between 1984 and 1996. This is the third such set of volumes in number theory. The first was edited by W.J. LeVeque and included reviews from 1940-1972; the second was edited by R.K. Guy and appeared in 1984. With the publication of these review volumes, readers now have available reviews in number theory covering more than half a century.
Author : P. Levrie
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (897 download)
Download or read book Convergence Acceleration for Second-order Linear Recurrence Relations written by P. Levrie and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Annie A.M. Cuyt
Publisher : Springer Science & Business Media
ISBN 13 : 1402069499
Total Pages : 430 pages
Book Rating : 4.4/5 (2 download)
Download or read book Handbook of Continued Fractions for Special Functions written by Annie A.M. Cuyt and published by Springer Science & Business Media. This book was released on 2008-04-12 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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!
Author : A. Sidi
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (897 download)
Download or read book Convergence Properties of Some Non-linear Sequence Transformations written by A. Sidi and published by . This book was released on 1978 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
