Recurrence Sequences

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Recurrence Sequences

Author : Graham Everest
Publisher : American Mathematical Soc.
ISBN 13 : 1470423154
Total Pages : 318 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Recurrence Sequences by : Graham Everest

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 318 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.

Recurrent Sequences

Author : Dorin Andrica
Publisher : Springer Nature
ISBN 13 : 3030515028
Total Pages : 410 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Recurrent Sequences by : Dorin Andrica

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.

Computation with Recurrence Relations

Author : Jet Wimp
Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Computation with Recurrence Relations by : Jet Wimp

Download or read book Computation with Recurrence Relations written by Jet Wimp and published by Pitman Advanced Publishing Program. This book was released on 1984 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Convergence Properties of Recurrence Sequences

Author : R. J. Kooman (mathématicien)
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Convergence Properties of Recurrence Sequences by : R. J. Kooman (mathématicien)

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:

Recursion Sequences

Author : Alekseĭ Ivanovich Markushevich
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Recursion Sequences by : Alekseĭ Ivanovich Markushevich

Download or read book Recursion Sequences written by Alekseĭ Ivanovich Markushevich and published by . This book was released on 1975 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recurrence Relations, Continued Fractions and Orthogonal Polynomials

Author : Richard Askey
Publisher : American Mathematical Soc.
ISBN 13 : 0821823019
Total Pages : 108 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recurrence Relations, Continued Fractions and Orthogonal Polynomials by : Richard Askey

Download or read book Recurrence Relations, Continued Fractions and Orthogonal Polynomials written by Richard Askey and published by American Mathematical Soc.. This book was released on 1984 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discrete Mathematics

Author : Oscar Levin
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781724572639
Total Pages : 238 pages
Book Rating : 4.5/5 (726 download)

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Book Synopsis Discrete Mathematics by : Oscar Levin

Download or read book Discrete Mathematics written by Oscar Levin and published by Createspace Independent Publishing Platform. This book was released on 2018-07-30 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.

Library of Congress Subject Headings

Author : Library of Congress
Publisher :
ISBN 13 :
Total Pages : 1432 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Library of Congress Subject Headings by : Library of Congress

Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2005 with total page 1432 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Polynomial Sequences

Author : Francesco Aldo Costabile
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110757249
Total Pages : 526 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Polynomial Sequences by : Francesco Aldo Costabile

Download or read book Polynomial Sequences written by Francesco Aldo Costabile and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-12-18 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polynomials are useful mathematical tools. They are simply defined and can be calculated quickly on computer systems. They can be differentiated and integrated easily and can be pieced together to form spline curves. After Weierstrass approximation Theorem, polynomial sequences have acquired considerable importance not only in the various branches of Mathematics, but also in Physics, Chemistry and Engineering disciplines. There is a wide literature on specific polynomial sequences. But there is no literature that attempts a systematic exposition of the main basic methods for the study of a generic polynomial sequence and, at the same time, gives an overview of the main polynomial classes and related applications, at least in numerical analysis. In this book, through an elementary matrix calculus-based approach, an attempt is made to fill this gap by exposing dated and very recent results, both theoretical and applied.

Applications of Fibonacci Numbers

Author : Fredric T. Howard
Publisher : Springer Science & Business Media
ISBN 13 : 9401142718
Total Pages : 390 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Applications of Fibonacci Numbers by : Fredric T. Howard

Download or read book Applications of Fibonacci Numbers written by Fredric T. Howard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 33 papers from among the 41 papers presented at the Eighth International Conference on Fibonacci Numbers and Their Applications which was held at the Rochester Institute of Technology, Rochester, New York, from June 22 to June 26, 1998. These papers have been selected after a careful review by well known referees in the field, and they range from elementary number theory to probability and statistics. The Fibonacci numbers and recurrence relations are their unifying bond. It is anticipated that this book, like its seven predecessors, will be useful to research workers and graduate students interested in the Fibonacci numbers and their applications. June 1, 1999 The Editor F. T. Howard Mathematics and Computer Science Wake Forest University Box 7388 Reynolda Station Winston-Salem, NC USA xvii THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Anderson, Peter G. , Chairman Horadam, A. F. (Australia), Co-Chair Arpaya, Pasqual Philippou, A. N. (Cyprus), Co-Chair Biles, John Bergum, G. E. (U. S. A. ) Orr, Richard Filipponi, P. (Italy) Radziszowski, Stanislaw Harborth, H. (Germany) Rich, Nelson Horibe, Y. (Japan) Howard, F. (U. S. A. ) Johnson, M. (U. S. A. ) Kiss, P. (Hungary) Phillips, G. M. (Scotland) Turner, J. (New Zealand) Waddill, M. E. (U. S. A. ) xix LIST OF CONTRIBUTORS TO THE CONFERENCE AGRATINI, OCTAVIAN, "Unusual Equations in Study. " *ANDO, SHIRO, (coauthor Daihachiro Sato), "On the Generalized Binomial Coefficients Defined by Strong Divisibility Sequences. " *ANATASSOVA, VASSIA K. , (coauthor J. C.

Combinatorics

Author : N. Ya. Vilenkin
Publisher : Academic Press
ISBN 13 : 1483266117
Total Pages : 313 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Combinatorics by : N. Ya. Vilenkin

Download or read book Combinatorics written by N. Ya. Vilenkin and published by Academic Press. This book was released on 2014-05-10 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics deals with simple combinatorial problems, recurrence relations, and generating functions, particularly the binomial expansions. The book expounds on the general rules of combinatorics, the rule of sum, the rule of product, samples, permutations, combinations, and arrangements of subjects with various restrictions. The text also explains ordered or unordered partitions of numbers, geometric methods, random walk problems, and variants of the arithmetical triangle. One example of the use of combinatorics is the choice of the number 3 in the genetic code. Another example involves the choice of crew for a spaceship where it is necessary to consider the psychological conditions of the applicants for space travel. The text also investigates the sieve of Erastothenes whose problem concerns finding all the primes in the sequence of natural numbers from 1 to N. The book also tackles the application of power series to proof of identities, the binomial series expansion, decomposition into elementary fractions, and nonlinear recurrence relation. The book can be highly educational and interesting to students or academicians involved in mathematics, algebra, and statistics.

Conceptual Maths

Author : Peter Mattock
Publisher : Crown House Publishing Ltd
ISBN 13 : 1785836188
Total Pages : 780 pages
Book Rating : 4.7/5 (858 download)

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Book Synopsis Conceptual Maths by : Peter Mattock

Download or read book Conceptual Maths written by Peter Mattock and published by Crown House Publishing Ltd. This book was released on 2023-01-05 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by Peter Mattock, Conceptual Maths: Teaching 'about' (rather than just 'how to do') mathematics in schoolsaims to empower teachers to support students on a comprehensive and coherent journey through school mathematics. Showcasing the best models, metaphors and representations, it provides excellent examples, explanations and exercises that can be used across the curriculum. Concepts are at the heart of the study of mathematics. They are the ideas that remain constant whenever they are encountered, but which combine and build upon each other to create the mathematical universe. It is the structure of each concept that gives rise to the procedures that are used in calculation and problem-solving - and, by learning about these structures, a learner can make sense of how different processes work and use them flexibly as need demands. In his first book,Visible Maths, Peter Mattock focused on the use of representations and manipulatives as images and tools and how this can provide a window into some of these mathematical structures. His aim in Conceptual Mathsis to go deeper, beyond the procedures, and to shed greater light on the structures of the subject's different concepts. The book explores how a variety of visual tools and techniques can be used in the classroom to deepen pupils' understanding of mathematical structures, concepts and operations, including: number; addition and subtraction; multiplication and multiples; division and factors; proportionality; functionality; measures; accuracy; probability; shape and transformation; and vectors, among many others. In so doing, Peter equips teachers with the confidence and practical know-how to help learners assimilate knowledge of mathematical concepts into their schema and take their learning to the next level. Containing numerous full-colour diagrams and models to illustrate the conceptual takeaways and teaching techniques discussed, Conceptual Mathsalso includes a glossary covering the key mathematical terms. Suitable for teachers of maths in primary, secondary and post-16 settings

Discrete Mathematics with Ducks

Author : sarah-marie belcastro
Publisher : CRC Press
ISBN 13 : 1466505001
Total Pages : 582 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Discrete Mathematics with Ducks by : sarah-marie belcastro

Download or read book Discrete Mathematics with Ducks written by sarah-marie belcastro and published by CRC Press. This book was released on 2012-06-21 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing exercises and materials that engage students at all levels, Discrete Mathematics with Ducks presents a gentle introduction for students who find the proofs and abstractions of mathematics challenging. This classroom-tested text uses discrete mathematics as the context for introducing proofwriting. Facilitating effective and active learni

Linear Recurrence Relations Over Finite Fields

Author : Ernst S. Selmer
Publisher :
ISBN 13 :
Total Pages : 446 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Linear Recurrence Relations Over Finite Fields by : Ernst S. Selmer

Download or read book Linear Recurrence Relations Over Finite Fields written by Ernst S. Selmer and published by . This book was released on 1966 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods for Scientists and Engineers

Author : Donald Allan McQuarrie
Publisher : University Science Books
ISBN 13 : 9781891389245
Total Pages : 1188 pages
Book Rating : 4.3/5 (892 download)

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Book Synopsis Mathematical Methods for Scientists and Engineers by : Donald Allan McQuarrie

Download or read book Mathematical Methods for Scientists and Engineers written by Donald Allan McQuarrie and published by University Science Books. This book was released on 2003 with total page 1188 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Intended for upper-level undergraduate and graduate courses in chemistry, physics, math and engineering, this book will also become a must-have for the personal library of all advanced students in the physical sciences. Comprised of more than 2000 problems and 700 worked examples that detail every single step, this text is exceptionally well adapted for self study as well as for course use."--From publisher description.

Advances in Structured Operator Theory and Related Areas

Author : Marinus A. Kaashoek
Publisher : Springer Science & Business Media
ISBN 13 : 3034806396
Total Pages : 246 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Advances in Structured Operator Theory and Related Areas by : Marinus A. Kaashoek

Download or read book Advances in Structured Operator Theory and Related Areas written by Marinus A. Kaashoek and published by Springer Science & Business Media. This book was released on 2013-08-30 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Leonid Lerer on the occasion of his seventieth birthday. The main part presents recent results in Lerer’s research area of interest, which includes Toeplitz, Toeplitz plus Hankel, and Wiener-Hopf operators, Bezout equations, inertia type results, matrix polynomials, and related areas in operator and matrix theory. Biographical material and Lerer's list of publications complete the volume.

Diophantine Approximation

Author : David Masser
Publisher : Springer
ISBN 13 : 3540449795
Total Pages : 356 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Diophantine Approximation by : David Masser

Download or read book Diophantine Approximation written by David Masser and published by Springer. This book was released on 2008-02-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diophantine Approximation is a branch of Number Theory having its origins intheproblemofproducing“best”rationalapproximationstogivenrealn- bers. Since the early work of Lagrange on Pell’s equation and the pioneering work of Thue on the rational approximations to algebraic numbers of degree ? 3, it has been clear how, in addition to its own speci?c importance and - terest, the theory can have fundamental applications to classical diophantine problems in Number Theory. During the whole 20th century, until very recent times, this fruitful interplay went much further, also involving Transcend- tal Number Theory and leading to the solution of several central conjectures on diophantine equations and class number, and to other important achie- ments. These developments naturally raised further intensive research, so at the moment the subject is a most lively one. This motivated our proposal for a C. I. M. E. session, with the aim to make it available to a public wider than specialists an overview of the subject, with special emphasis on modern advances and techniques. Our project was kindly supported by the C. I. M. E. Committee and met with the interest of a largenumberofapplicants;forty-twoparticipantsfromseveralcountries,both graduatestudentsandseniormathematicians,intensivelyfollowedcoursesand seminars in a friendly and co-operative atmosphere. The main part of the session was arranged in four six-hours courses by Professors D. Masser (Basel), H. P. Schlickewei (Marburg), W. M. Schmidt (Boulder) and M. Waldschmidt (Paris VI). This volume contains expanded notes by the authors of the four courses, together with a paper by Professor Yu. V.