Some Problems of Diophantine Approximation: the Analytic Properties of Certain Dirichlet's Series Associated with the Distribution of Numbers to Modulus Unity

Some Problems of Diophantine Approximation: the Analytic Properties of Certain Dirichlet's Series Associated with the Distribution of Numbers to Modulus Unity PDF Author: Godfrey Harold Hardy
Publisher:
ISBN:
Category : Diophantine analysis
Languages : en
Pages : 17

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Proceedings of the London Mathematical Society

Proceedings of the London Mathematical Society PDF Author: London Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 582

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"Papers presented to J. E. Littlewood on his 80th birthday" issued as 3d ser., v. 14 A, 1965.

Transactions of the Cambridge Philosophical Society

Transactions of the Cambridge Philosophical Society PDF Author: Cambridge Philosophical Society
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 676

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Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot

Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot PDF Author: Michel Laurent Lapidus
Publisher: American Mathematical Soc.
ISBN: 9780821836378
Category : Mathematics
Languages : en
Pages : 760

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Book Description
This volume offers an excellent selection of cutting-edge articles about fractal geometry, covering the great breadth of mathematics and related areas touched by this subject. Included are rich survey articles and fine expository papers. The high-quality contributions to the volume by well-known researchers--including two articles by Mandelbrot--provide a solid cross-section of recent research representing the richness and variety of contemporary advances in and around fractal geometry. In demonstrating the vitality and diversity of the field, this book will motivate further investigation into the many open problems and inspire future research directions. It is suitable for graduate students and researchers interested in fractal geometry and its applications. This is a two-part volume. Part 1 covers analysis, number theory, and dynamical systems; Part 2, multifractals, probability and statistical mechanics, and applications.

Automatic Sequences

Automatic Sequences PDF Author: Jean-Paul Allouche
Publisher: Cambridge University Press
ISBN: 9780521823326
Category : Computers
Languages : en
Pages : 592

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Book Description
Uniting dozens of seemingly disparate results from different fields, this book combines concepts from mathematics and computer science to present the first integrated treatment of sequences generated by 'finite automata'. The authors apply the theory to the study of automatic sequences and their generalizations, such as Sturmian words and k-regular sequences. And further, they provide applications to number theory (particularly to formal power series and transcendence in finite characteristic), physics, computer graphics, and music. Starting from first principles wherever feasible, basic results from combinatorics on words, numeration systems, and models of computation are discussed. Thus this book is suitable for graduate students or advanced undergraduates, as well as for mature researchers wishing to know more about this fascinating subject. Results are presented from first principles wherever feasible, and the book is supplemented by a collection of 460 exercises, 85 open problems, and over 1600 citations to the literature.

Collected Papers of J.E. Littlewood

Collected Papers of J.E. Littlewood PDF Author: John Edensor Littlewood
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 938

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Science Progress

Science Progress PDF Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 772

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A review journal of current scientific advance.

Mathematica Scandinavica

Mathematica Scandinavica PDF Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 628

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Bulletin of the Calcutta Mathematical Society

Bulletin of the Calcutta Mathematical Society PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 762

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Science Progress in the Twentieth Century

Science Progress in the Twentieth Century PDF Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 716

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