Fractals in Probability and Analysis

Fractals in Probability and Analysis PDF Author: Christopher J. Bishop
Publisher: Cambridge University Press
ISBN: 1107134110
Category : Mathematics
Languages : en
Pages : 415

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Book Description
A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.

Fractals in Probability and Analysis

Fractals in Probability and Analysis PDF Author: Christopher J. Bishop
Publisher: Cambridge University Press
ISBN: 1107134110
Category : Mathematics
Languages : en
Pages : 415

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Book Description
A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.

The Geometry of Fractal Sets

The Geometry of Fractal Sets PDF Author: K. J. Falconer
Publisher: Cambridge University Press
ISBN: 9780521337052
Category : Mathematics
Languages : en
Pages : 184

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Book Description
A mathematical study of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Considers questions of local density, the existence of tangents of such sets as well as the dimensional properties of their projections in various directions.

Quasiconformal Mappings and Analysis

Quasiconformal Mappings and Analysis PDF Author: Peter Duren
Publisher: Springer Science & Business Media
ISBN: 1461206057
Category : Mathematics
Languages : en
Pages : 379

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Book Description
In honor of Frederick W. Gehring on the occasion of his 70th birthday, an international conference on ""Quasiconformal mappings and analysis"" was held in Ann Arbor in August 1995. The 9 main speakers of the conference (Astala, Earle, Jones, Kra, Lehto, Martin, Pommerenke, Sullivan, and Vaisala) provide broad expository articles on various aspects of quasiconformal mappings and their relations to other areas of analysis. 12 other distinguished mathematicians contribute articles to this volume.

A Treatise on the Circle and the Sphere

A Treatise on the Circle and the Sphere PDF Author: Julian Lowell Coolidge
Publisher:
ISBN:
Category : Circle
Languages : en
Pages : 603

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Book Description


Outer Circles

Outer Circles PDF Author: A. Marden
Publisher: Cambridge University Press
ISBN: 1139463764
Category : Mathematics
Languages : en
Pages : 393

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Book Description
We live in a three-dimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles describes the basic mathematics needed for those answers as well as making clear the grand design of the subject of hyperbolic manifolds as a whole. The purpose of Outer Circles is to provide an account of the contemporary theory, accessible to those with minimal formal background in topology, hyperbolic geometry, and complex analysis. The text explains what is needed, and provides the expertise to use the primary tools to arrive at a thorough understanding of the big picture. This picture is further filled out by numerous exercises and expositions at the ends of the chapters and is complemented by a profusion of high quality illustrations. There is an extensive bibliography for further study.

A Short History of Greek Mathematics

A Short History of Greek Mathematics PDF Author: James Gow
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 350

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Book Description


A Bibliography of Mathematical Education

A Bibliography of Mathematical Education PDF Author: William Leonard Schaaf
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 162

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Book Description


Coxeter Matroids

Coxeter Matroids PDF Author: Alexandre V. Borovik
Publisher: Springer Science & Business Media
ISBN: 9780817637644
Category : Mathematics
Languages : en
Pages : 292

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Book Description
Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry, and "Coxeter Matroids" provides an intuitive and interdisciplinary treatment of their theory. In this text, matroids are examined in terms of symmetric and finite reflection groups; also, symplectic matroids and the more general coxeter matroids are carefully developed. The Gelfand-Serganova theorem, which allows for the geometric interpretation of matroids as convex polytopes with certain symmetry properties, is presented, and in the final chapter, matroid representations and combinatorial flag varieties are discussed. With its excellent bibliography and index and ample references to current research, this work will be useful for graduate students and research mathematicians.

The Turing Guide

The Turing Guide PDF Author: Jack Copeland
Publisher: Oxford University Press
ISBN: 0191065005
Category : Science
Languages : en
Pages : 563

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Book Description
Alan Turing has long proved a subject of fascination, but following the centenary of his birth in 2012, the code-breaker, computer pioneer, mathematician (and much more) has become even more celebrated with much media coverage, and several meetings, conferences and books raising public awareness of Turing's life and work. This volume will bring together contributions from some of the leading experts on Alan Turing to create a comprehensive guide to Turing that will serve as a useful resource for researchers in the area as well as the increasingly interested general reader. The book will cover aspects of Turing's life and the wide range of his intellectual activities, including mathematics, code-breaking, computer science, logic, artificial intelligence and mathematical biology, as well as his subsequent influence.

Formal Power Series and Algebraic Combinatorics

Formal Power Series and Algebraic Combinatorics PDF Author: Daniel Krob
Publisher: Springer Science & Business Media
ISBN: 9783540672470
Category : Computers
Languages : en
Pages : 844

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Book Description
This book contains the extended abstracts presented at the 12th International Conference on Power Series and Algebraic Combinatorics (FPSAC '00) that took place at Moscow State University, June 26-30, 2000. These proceedings cover the most recent trends in algebraic and bijective combinatorics, including classical combinatorics, combinatorial computer algebra, combinatorial identities, combinatorics of classical groups, Lie algebra and quantum groups, enumeration, symmetric functions, young tableaux etc...