Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Elements of Cantor sets - with applications / Robert W. Vallin.

By: Material type: TextTextPublication details: New Jersey : John Wiley & Sons, ©2013.Description: 225 pages : illustrations ; 24 cmISBN:
  • 9781118405710
Subject(s): DDC classification:
  • 515.8 23 V188
Contents:
1. Quick Biography of Cantor -- 2. Basics -- 3. Introducing the Cantor Set -- 4. Cantor Sets and Continued Fractions -- 5. p-adic Numbers and Valuations -- 6. Self-Similar Objects -- 7. Various Notions of Dimension -- 8. Porosity and Thickness-Looking at the Gaps -- 9. Creating Pathological Functions via C -- 10. Generalizations and Applications -- 11. Epilogue.
Summary: "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"--
Tags from this library: No tags from this library for this title. Log in to add tags.
Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.8 V188 (Browse shelf(Opens below)) Available 137498
Total holds: 0

Includes bibliographical references and index.

1. Quick Biography of Cantor --
2. Basics --
3. Introducing the Cantor Set --
4. Cantor Sets and Continued Fractions --
5. p-adic Numbers and Valuations --
6. Self-Similar Objects --
7. Various Notions of Dimension --
8. Porosity and Thickness-Looking at the Gaps --
9. Creating Pathological Functions via C --
10. Generalizations and Applications --
11. Epilogue.

"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"--

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in