The elements of Cantor sets: with applications
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Hoboken, New Jersey
Wiley
[2013]
|
Ausgabe: | First edition |
Schlagworte: | |
Online-Zugang: | FRO01 TUM01 UBG01 Volltext |
Beschreibung: | "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"-- Includes bibliographical references and index |
Beschreibung: | 1 Online-Ressource |
ISBN: | 9781118548745 |
Internformat
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245 | 1 | 0 | |a The elements of Cantor sets |b with applications |c Robert W. Vallin |
250 | |a First edition | ||
264 | 1 | |a Hoboken, New Jersey |b Wiley |c [2013] | |
300 | |a 1 Online-Ressource | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
500 | |a "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"-- | ||
500 | |a Includes bibliographical references and index | ||
600 | 1 | 7 | |a Cantor, George / 1941- |2 fast |
600 | 1 | 4 | |a Cantor, George / 1941- |
650 | 7 | |a MATHEMATICS / Mathematical Analysis |2 bisacsh | |
650 | 4 | |a Cantor, George, 1941- | |
650 | 7 | |a Cantor sets |2 fast | |
650 | 7 | |a Mathematical analysis |2 fast | |
650 | 7 | |a Measure theory |2 fast | |
650 | 4 | |a Cantor sets | |
650 | 4 | |a Measure theory | |
650 | 4 | |a Mathematical analysis | |
653 | |a Electronic books | ||
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Datensatz im Suchindex
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any_adam_object | |
author | Vallin, Robert W. |
author_GND | (DE-588)1038497167 |
author_facet | Vallin, Robert W. |
author_role | aut |
author_sort | Vallin, Robert W. |
author_variant | r w v rw rwv |
building | Verbundindex |
bvnumber | BV043395813 |
classification_rvk | SK 430 |
classification_tum | MAT 040f |
collection | ZDB-35-WIC |
ctrlnum | (ZDB-35-WIC)ocn842307638 (OCoLC)842307638 (DE-599)BVBBV043395813 |
dewey-full | 515/.8 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515/.8 |
dewey-search | 515/.8 |
dewey-sort | 3515 18 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
edition | First edition |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T07:24:50Z |
institution | BVB |
isbn | 9781118548745 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028814397 |
oclc_num | 842307638 |
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publishDate | 2013 |
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publisher | Wiley |
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spelling | Vallin, Robert W. Verfasser (DE-588)1038497167 aut The elements of Cantor sets with applications Robert W. Vallin First edition Hoboken, New Jersey Wiley [2013] 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier "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"-- Includes bibliographical references and index Cantor, George / 1941- fast Cantor, George / 1941- MATHEMATICS / Mathematical Analysis bisacsh Cantor, George, 1941- Cantor sets fast Mathematical analysis fast Measure theory fast Cantor sets Measure theory Mathematical analysis Electronic books Erscheint auch als Druck-Ausgabe 978-1-118-40571-0 https://onlinelibrary.wiley.com/doi/book/10.1002/9781118548745 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Vallin, Robert W. The elements of Cantor sets with applications Cantor, George / 1941- fast Cantor, George / 1941- MATHEMATICS / Mathematical Analysis bisacsh Cantor, George, 1941- Cantor sets fast Mathematical analysis fast Measure theory fast Cantor sets Measure theory Mathematical analysis |
title | The elements of Cantor sets with applications |
title_auth | The elements of Cantor sets with applications |
title_exact_search | The elements of Cantor sets with applications |
title_full | The elements of Cantor sets with applications Robert W. Vallin |
title_fullStr | The elements of Cantor sets with applications Robert W. Vallin |
title_full_unstemmed | The elements of Cantor sets with applications Robert W. Vallin |
title_short | The elements of Cantor sets |
title_sort | the elements of cantor sets with applications |
title_sub | with applications |
topic | Cantor, George / 1941- fast Cantor, George / 1941- MATHEMATICS / Mathematical Analysis bisacsh Cantor, George, 1941- Cantor sets fast Mathematical analysis fast Measure theory fast Cantor sets Measure theory Mathematical analysis |
topic_facet | Cantor, George / 1941- MATHEMATICS / Mathematical Analysis Cantor, George, 1941- Cantor sets Mathematical analysis Measure theory |
url | https://onlinelibrary.wiley.com/doi/book/10.1002/9781118548745 |
work_keys_str_mv | AT vallinrobertw theelementsofcantorsetswithapplications |