عنوان

The elements of Cantor sets :

1118548701 (electronic bk.)

1118548744 (electronic bk.)

9781118548707 (electronic bk.)

9781118548745 (electronic bk.)

1118407431

1118407458

9781118405710 (hardback)

9781118407431

9781118407455

dltt

The elements of Cantor sets :

[Book]

with applications /

Robert W. Vallin, Department of Mathematics, Slippery Rock University, Slippery Rock, PA

First edition

First edition

1 online resource

Includes bibliographical references and index

"This book is a thorough introduction to the Cantor (Ternary) Set and its applications and brings together many of the topics (advanced calculus, probability, topology, and algebra) that mathematics students are required to study, but unfortunately are treated as separate ideas. This book successfully bridges the gap between how several mathematical fields interact using Cantor Sets as the common theme. While the book is mathematically self-contained, readers should be comfortable with mathematical formalism and have some experience in reading and writing mathematical proofs. Chapter coverage includes: a biography of Cantor; an introduction to the Cantor (Ternary) Set; Self-Similar Sets and Fractal Dimensions; sums of Cantor Sets; the role of Cantor Sets to create pathological functions; and additional topics such as continued fractions, Ana Sets, and p-adic numbers"--

Elements of Cantor sets

9781118405710

Cantor sets.

Mathematical analysis.

Measure theory.

MAT-- 005000

MAT-- 034000

Vallin, Robert W.

Ohio Library and Information Network.

Wiley Online Library (Online service)

20130817151034.0

rda

[Book]

Y