Author: Graham Everest, Alf van der Poorten,Igor Shparlinski,Thomas Ward

Publisher: American Mathematical Soc.

ISBN: 1470423154

Category:

Page: 318

View: 1681

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.
Read More

Author: Michael S. Keane,Dee Denteneer,Frank Hollander,Evgeny Verbitskiy

Publisher: IMS

ISBN: 9780940600645

Category: Mathematics

Page: 316

View: 9365

Read More

7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006, Proceedings

Author: Florian Hess,Sebastian Pauli,Michael Pohst

Publisher: Springer

ISBN: 354036076X

Category: Mathematics

Page: 599

View: 3988

This book constitutes the refereed proceedings of the 7th International Algorithmic Number Theory Symposium, ANTS 2006, held in Berlin, July 2006. The book presents 37 revised full papers together with 4 invited papers selected for inclusion. The papers are organized in topical sections on algebraic number theory, analytic and elementary number theory, lattices, curves and varieties over fields of characteristic zero, curves over finite fields and applications, and discrete logarithms.
Read More

Author: Chris Smyth

Publisher: Cambridge University Press

ISBN: 0521714672

Category: Mathematics

Page: 349

View: 5553

Contributions by leading experts in the field provide a snapshot of current progress in polynomials and number theory.
Read More

Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates

Author: Manuel Kauers,Peter Paule

Publisher: Springer Science & Business Media

ISBN: 9783709104453

Category: Mathematics

Page: 203

View: 7425

The book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (difference) equations, generating functions, and asymptotic estimates. Their key features, in isolation or in combination, their mastery by paper and pencil or by computer programs, and their applications to problems in pure mathematics or to "real world problems" (e.g. the analysis of algorithms) are studied. The book is intended as an algorithmic supplement to the bestselling "Concrete Mathematics" by Graham, Knuth and Patashnik.
Read More

Lectures in Honour of the 60th Birthday of Hugh Cowie Williams

Author: Hugh C. Williams,A. J. Van Der Poorten,Andreas Stein

Publisher: American Mathematical Soc.

ISBN: 9780821887592

Category: Science

Page: 392

View: 4768

This volume consists of a selection of papers based on presentations made at the international conference on number theory held in honor of Hugh Williams' sixtieth birthday. The papers address topics in the areas of computational and explicit number theory and its applications. The material is suitable for graduate students and researchers interested in number theory.
Read More

Author: Graham Everest,Alf van der Poorten,Igor Shparlinski,Thomas Ward

Publisher: American Mathematical Soc.

ISBN: 9780821833872

Category: Mathematics

Page: 318

View: 1604

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.
Read More

Author: Edmund Hlawka

Publisher: N.A

ISBN: N.A

Category: Distribution, Uniform (Probability theory)

Page: 142

View: 7012

Read More

6th International Workshop, RP 2012, Bordeaux, France, September 17-19, 2012. Proceedings

Author: Alain Finkel,Jerome Leroux,Igor Potapov

Publisher: Springer

ISBN: 3642335128

Category: Computers

Page: 149

View: 3478

This book constitutes the refereed proceedings of the 6th International Workshop on Reachability Problems, RP 2012, held in Bordeaux, France, in September, 2012. The 8 revised full papers presented together with 4 invited talks were carefully reviewed and selected from 15 submissions. The papers present current research and original contributions related to reachability problems in different computational models and systems such as algebraic structures, computational models, hybrid systems, logic and verification. Reachability is a fundamental problem that appears in several different contexts: finite- and infinite-state concurrent systems, computational models like cellular automata and Petri nets, decision procedures for classical, modal and temporal logic, program analysis, discrete and continuous systems, time critical systems, and open systems modeled as games.
Read More

Neu herausgegeben von Alexander Schmidt

Author: Jürgen Neukirch

Publisher: Springer-Verlag

ISBN: 364217325X

Category: Mathematics

Page: 204

View: 9496

Der Klassiker zum Thema bietet Lesern, die mit den Grundlagen der algebraischen Zahlentheorie vertraut sind, einen raschen Zugang zur Klassenkörpertheorie. Die Neuauflage ist eine verbesserte Version des 1969 in der Reihe B. I.-Hochschulskripten (Bibliographisches Institut Mannheim) erschienenen gleichnamigen Bandes. Das Werk besteht aus drei Teilen: Im ersten wird die Kohomologie der endlichen Gruppen behandelt, im zweiten die lokale Klassenkörpertheorie, der dritte Teil widmet sich der Klassenkörpertheorie der endlichen algebraischen Zahlkörper.
Read More

As Printed in Mathematical Reviews

Author: N.A

Publisher: Amer Mathematical Society

ISBN: 9780821809372

Category: Mathematics

Page: 1012

View: 6689

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.
Read More

Author: Thomas Koshy

Publisher: John Wiley & Sons

ISBN: 1118031318

Category: Mathematics

Page: 672

View: 9920

The first comprehensive survey of mathematics' most fascinatingnumber sequences Fibonacci and Lucas numbers have intrigued amateur and professionalmathematicians for centuries. This volume represents the firstattempt to compile a definitive history and authoritative analysisof these famous integer sequences, complete with a wealth ofexciting applications, enlightening examples, and fun exercisesthat offer numerous opportunities for exploration andexperimentation. The author has assembled a myriad of fascinating properties of bothFibonacci and Lucas numbers-as developed by a wide range ofsources-and catalogued their applications in a multitude of widelyvaried disciplines such as art, stock market investing,engineering, and neurophysiology. Most of the engaging anddelightful material here is easily accessible to college and evenhigh school students, though advanced material is included tochallenge more sophisticated Fibonacci enthusiasts. A historicalsurvey of the development of Fibonacci and Lucas numbers,biographical sketches of intriguing personalities involved indeveloping the subject, and illustrative examples round out thisthorough and amusing survey. Most chapters conclude with numericand theoretical exercises that do not rely on long and tediousproofs of theorems. Highlights include: * Balanced blend of theory and real-world applications * Excellent reference material for student reports andprojects * User-friendly, informal, and entertaining writing style * Historical interjections and short biographies that add a richerperspective to the topic * Reference sections providing important symbols, problemsolutions, and fundamental properties from the theory of numbersand matrices Fibonacci and Lucas Numbers with Applications providesmathematicians with a wealth of reference material in oneconvenient volume and presents an in-depth and entertainingresource for enthusiasts at every level and from any background.
Read More

Author: Wilhelm Blaschke

Publisher: Walter de Gruyter

ISBN: 3111506932

Category: Mathematics

Page: 175

View: 2693

Read More

A Publication of the Max-Planck-Institut für Mathematik, Bonn

Author: Yves André

Publisher: Springer-Verlag

ISBN: 366314108X

Category: Mathematics

Page: 232

View: 4963

Read More

Author: Martin Aigner,Günter M. Ziegler

Publisher: Springer-Verlag

ISBN: 3662577674

Category: Mathematics

Page: 360

View: 7077

Diese fünfte deutsche Auflage enthält ein ganz neues Kapitel über van der Waerdens Permanenten-Vermutung, sowie weitere neue, originelle und elegante Beweise in anderen Kapiteln. Aus den Rezensionen: “... es ist fast unmöglich, ein Mathematikbuch zu schreiben, das von jedermann gelesen und genossen werden kann, aber Aigner und Ziegler gelingt diese Meisterleistung in virtuosem Stil. [...] Dieses Buch erweist der Mathematik einen unschätzbaren Dienst, indem es Nicht-Mathematikern vorführt, was Mathematiker meinen, wenn sie über Schönheit sprechen.” Aus der Laudatio für den “Steele Prize for Mathematical Exposition” 2018 "Was hier vorliegt ist eine Sammlung von Beweisen, die in das von Paul Erdös immer wieder zitierte BUCH gehören, das vom lieben (?) Gott verwahrt wird und das die perfekten Beweise aller mathematischen Sätze enthält. Manchmal lässt der Herrgott auch einige von uns Sterblichen in das BUCH blicken, und die so resultierenden Geistesblitze erhellen den Mathematikeralltag mit eleganten Argumenten, überraschenden Zusammenhängen und unerwarteten Volten." www.mathematik.de, Mai 2002 "Eine einzigartige Sammlung eleganter mathematischer Beweise nach der Idee von Paul Erdös, verständlich geschrieben von exzellenten Mathematikern. Dieses Buch gibt anregende Lösungen mit Aha-Effekt, auch für Nicht-Mathematiker." www.vismath.de "Ein prächtiges, äußerst sorgfältig und liebevoll gestaltetes Buch! Erdös hatte die Idee DES BUCHES, in dem Gott die perfekten Beweise mathematischer Sätze eingeschrieben hat. Das hier gedruckte Buch will eine "very modest approximation" an dieses BUCH sein.... Das Buch von Aigner und Ziegler ist gelungen ..." Mathematische Semesterberichte, November 1999 "Wer (wie ich) bislang vergeblich versucht hat, einen Blick ins BUCH zu werfen, wird begierig in Aigners und Zieglers BUCH der Beweise schmökern." www.mathematik.de, Mai 2002
Read More

Author: Jon Aaronson

Publisher: American Mathematical Soc.

ISBN: 0821804944

Category: Mathematics

Page: 284

View: 627

Infinite ergodic theory is the study of measure preserving transformations of infinite measure spaces. The book focuses on properties specific to infinite measure preserving transformations. The work begins with an introduction to basic nonsingular ergodic theory, including recurrence behavior, existence of invariant measures, ergodic theorems, and spectral theory. A wide range of possible ``ergodic behavior'' is catalogued in the third chapter mainly according to the yardsticks of intrinsic normalizing constants, laws of large numbers, and return sequences. The rest of the book consists of illustrations of these phenomena, including Markov maps, inner functions, and cocycles and skew products. One chapter presents a start on the classification theory.
Read More