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The Elements of Cantor sets : = with...

Vallin, Robert W.

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The Elements of Cantor sets : = with applications /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The Elements of Cantor sets :/ Robert W. Vallin.
其他題名:	with applications /
作者:	Vallin, Robert W.
出版者:	Hoboken, New Jersey :Wiley, : 2013.,
面頁冊數:	xx, 225 p. :ill. ;25 cm.
標題:	Cantor sets. -
ISBN:	9781118405710 (hbk.) :

The Elements of Cantor sets : = with applications /
Vallin, Robert W.

The Elements of Cantor sets :with applications /Robert W. Vallin. - 1st ed. - Hoboken, New Jersey :Wiley,2013. - xx, 225 p. :ill. ;25 cm.

Includes bibliographical references (pages 219-222) 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"--

ISBN: 9781118405710 (hbk.) :US89.95

LCCN: 2013009452Subjects--Personal Names:

2047245
Cantor, George,
1941-.Subjects--Topical Terms:

2047246
Cantor sets.

LC Class. No.: QA612 / .V35 2013

Dewey Class. No.: 515.8

The Elements of Cantor sets : = with applications /
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050 0 0 $a QA612 $b .V35 2013
082 0 0 $a 515.8 $2 23
100 1 $a Vallin, Robert W. $3 2047244
245 1 0 $a The Elements of Cantor sets : $b with applications / $c Robert W. Vallin.
250 $a 1st ed.
260 # $a Hoboken, New Jersey : $b Wiley, $c 2013.
300 $a xx, 225 p. : $b ill. ; $c 25 cm.
504 $a Includes bibliographical references (pages 219-222) and index.
520 # $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"-- $c Provided by publisher.
530 $a Also issued online.
600 1 0 $a Cantor, George, $d 1941-. $3 2047245
650 # 0 $a Cantor sets. $3 2047246
650 # 0 $a Measure theory. $3 516951
650 # 0 $a Mathematical analysis. $3 516833