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Mathematical Surveys and Monographs
Volume: 104; 2003; 318 pp;
MSC: Primary 11; 33; 37; 94;

Electronic ISBN: 978-1-4704-1331-6
Product Code: SURV/104.E
List Price: $92.00
AMS Member Price: $73.60
MAA Member Price: $82.80

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Recurrence Sequences

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Graham Everest; Alf van der Poorten; Igor Shparlinski; Thomas Ward

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.

Reviews & Endorsements

The mathematical community should be grateful to the authors for the pains-taking work that they have done, and for the very useful book that they have produced as a result.

-- Bulletin of the London Mathematical Society

Surprisingly enough, there was no book in the literature entirely devoted to recurrence sequences … With the book under review, the authors fill this gap in a remarkable way … this well-written book will be extremely useful for anyone interested in any of the many aspects of linear recurrence sequences.

-- Mathematical Reviews

Recurrence Sequences

Base Product Code Keyword List: surv; SURV; surv/104; SURV/104; surv-104; SURV-104

Online Product Code: SURV/104.E

Title (HTML): Recurrence Sequences

Author(s) (Product display): Graham Everest; Alf van der Poorten; Igor Shparlinski; Thomas Ward

Affiliation(s) (HTML):

Abstract:

Book Series Name: Mathematical Surveys and Monographs

Volume: 104

Publication Month and Year: 2003-07-01

Page Count: 318

Online ISBN 13: 978-1-4704-1331-6

Online ISSN: 0076-5376

Primary MSC: 11; 33; 37; 94

Textbook?: false

Applied Math?: false

MAA Book?: false

Inquiry Based Learning?: false

Electronic Media?: false

Apparel or Gift: false

SXG Subject: NT; DM

Supplemental Materials (URL at AMS): https://www.ams.org/bookpages/surv-104

Online Price 1 Label: List

Online Price 1: 92.00

Online Price 2 Label: AMS Member

Online Price 2: 73.60

Online Price 3 Label: MAA Member

Online Price 3: 82.80

Print Add to Cart URL: /some/url/at/AMS/SURV-104.S

Electronic Add to Cart URL: /some/url/at/AMS/SURV-104.E

Print Available to Order: false

Review Copy: https://www.ams.org/exam-desk-review-request?&eisbn=978-1-4704-1331-6&epc=SURV/104.E&title=Recurrence%20Sequences&author=Graham%20Everest%3B%20Alf%20van%20der%20Poorten%3B%20Igor%20Shparlinski%3B%20Thomas%20Ward&type=R

Reviews:

The mathematical community should be grateful to the authors for the pains-taking work that they have done, and for the very useful book that they have produced as a result.

-- Bulletin of the London Mathematical Society

-- Mathematical Reviews

CCC Permissions Link: https://www.copyright.com/openurl.do?isbn=9781470413316&WT.mc.id=American%20Mathematical%20Society

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Contents
- Contents
Notation
- Notation
Introduction
- Introduction
Chapter 1. Definitions and Techniques
- Chapter 1. Definitions and Techniques
Index
- Index

Supplemental Materials

Recurrence Sequences

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Table of Contents

Recurrence Sequences

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Contents

Notation

Introduction

Chapter 1. Definitions and Techniques

Index