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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 : 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 : 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 : 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 : 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 : 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 : Edwin Herman
Publisher :
ISBN 13 : 9781947172838
Total Pages : 0 pages
Book Rating : 4.1/5 (728 download)
Download or read book Calculus Volume 3 written by Edwin Herman and published by . This book was released on 2016-03-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
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 : 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 : 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 : George E. Andrews
Publisher : American Mathematical Soc.
ISBN 13 : 082185173X
Total Pages : 410 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Rademacher Legacy to Mathematics written by George E. Andrews and published by American Mathematical Soc.. This book was released on 1994 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers presented at the Hans Rademacher Centenary Conference, held at Pennsylvania State University in July 1992. The astonishing breadth of Rademacher's mathematical interests is well represented in this volume. The papers collected here range over such topics as modular forms, partitions and q$ series, Dedekind sums, and Ramanujan type identities. Rounding out the volume is the opening paper, which presents a biography of Rademacher. This volume is a fitting tribute to a remarkable mathematician whose work continues to influence mathematics today.
Author : Igor Gumowski
Publisher : Springer
ISBN 13 : 3540381554
Total Pages : 278 pages
Book Rating : 4.5/5 (43 download)
Download or read book Recurrences and Discrete Dynamic Systems written by Igor Gumowski and published by Springer. This book was released on 2006-11-15 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V.V. Buldygin
Publisher : Springer Science & Business Media
ISBN 13 : 9401155682
Total Pages : 512 pages
Book Rating : 4.4/5 (11 download)
Download or read book Asymptotic Behaviour of Linearly Transformed Sums of Random Variables written by V.V. Buldygin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Limit theorems for random sequences may conventionally be divided into two large parts, one of them dealing with convergence of distributions (weak limit theorems) and the other, with almost sure convergence, that is to say, with asymptotic prop erties of almost all sample paths of the sequences involved (strong limit theorems). Although either of these directions is closely related to another one, each of them has its own range of specific problems, as well as the own methodology for solving the underlying problems. This book is devoted to the second of the above mentioned lines, which means that we study asymptotic behaviour of almost all sample paths of linearly transformed sums of independent random variables, vectors, and elements taking values in topological vector spaces. In the classical works of P.Levy, A.Ya.Khintchine, A.N.Kolmogorov, P.Hartman, A.Wintner, W.Feller, Yu.V.Prokhorov, and M.Loeve, the theory of almost sure asymptotic behaviour of increasing scalar-normed sums of independent random vari ables was constructed. This theory not only provides conditions of the almost sure convergence of series of independent random variables, but also studies different ver sions of the strong law of large numbers and the law of the iterated logarithm. One should point out that, even in this traditional framework, there are still problems which remain open, while many definitive results have been obtained quite recently.
Author : Bettina Richmond
Publisher : American Mathematical Society
ISBN 13 : 147047204X
Total Pages : 540 pages
Book Rating : 4.4/5 (74 download)
Download or read book A Discrete Transition to Advanced Mathematics written by Bettina Richmond and published by American Mathematical Society. This book was released on 2023-08-25 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook bridges the gap between lower-division mathematics courses and advanced mathematical thinking. Featuring clear writing and appealing topics, the book introduces techniques for writing proofs in the context of discrete mathematics. By illuminating the concepts behind techniques, the authors create opportunities for readers to sharpen critical thinking skills and develop mathematical maturity. Beginning with an introduction to sets and logic, the book goes on to establish the basics of proof techniques. From here, chapters explore proofs in the context of number theory, combinatorics, functions and cardinality, and graph theory. A selection of extension topics concludes the book, including continued fractions, infinite arithmetic, and the interplay among Fibonacci numbers, Pascal's triangle, and the golden ratio. A Discrete Transition to Advanced Mathematics is suitable for an introduction to proof course or a course in discrete mathematics. Abundant examples and exercises invite readers to get involved, and the wealth of topics allows for course customization and further reading. This new edition has been expanded and modernized throughout. New features include a chapter on combinatorial geometry, a more in-depth treatment of counting, and over 365 new exercises.
