The elements of Cantor sets : with applications /
"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 succe...
| Κύριος συγγραφέας: | |
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| Μορφή: | Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Hoboken, New Jersey :
Wiley,
[2013]
|
| Έκδοση: | First edition. |
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
| Περίληψη: | "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"-- |
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| Φυσική περιγραφή: | 1 online resource. |
| Βιβλιογραφία: | Includes bibliographical references and index. |
| ISBN: | 9781118548707 (pdf) 1118548701 (pdf) 9781118407431 1118407431 9781118407455 1118407458 9781118548745 1118548744 9781299775824 1299775829 |
| DOI: | 10.1002/9781118548745 |
