The elements of Cantor sets : (Record no. 12720)
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| 001 - CONTROL NUMBER | |
| control field | ocn842307638 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20171224114305.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr ||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 130501s2013 nju ob 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2013018014 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DLC |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | DLC |
| Modifying agency | YDX |
| -- | N$T |
| -- | YDXCP |
| -- | DG1 |
| -- | CUS |
| -- | E7B |
| -- | EBLCP |
| -- | IDEBK |
| -- | COO |
| -- | DEBSZ |
| -- | RECBK |
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| -- | 961668898 |
| -- | 962585992 |
| -- | 966211376 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781118548707 (pdf) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1118548701 (pdf) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9781118405710 (hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781118407431 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1118407431 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781118407455 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1118407458 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781118548745 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1118548744 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781299775824 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1299775829 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9781118514948 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9781118514924 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9781118514931 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9781118514900 |
| 028 01 - PUBLISHER NUMBER | |
| Publisher number | EB00066787 |
| Source | Recorded Books |
| 029 1# - (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000050949262 |
| 029 1# - (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000053306178 |
| 029 1# - (OCLC) | |
| OCLC library identifier | CHBIS |
| System control number | 010027045 |
| 029 1# - (OCLC) | |
| OCLC library identifier | CHVBK |
| System control number | 306231743 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV041291832 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV041908992 |
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| OCLC library identifier | DEBSZ |
| System control number | 397611242 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBSZ |
| System control number | 431471754 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBSZ |
| System control number | 449376818 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DKDLA |
| System control number | 820120-katalog:000664829 |
| 029 1# - (OCLC) | |
| OCLC library identifier | NZ1 |
| System control number | 15290987 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV043395813 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)842307638 |
| Canceled/invalid control number | (OCoLC)855504050 |
| -- | (OCoLC)857428550 |
| -- | (OCoLC)865012289 |
| -- | (OCoLC)927508125 |
| -- | (OCoLC)961668898 |
| -- | (OCoLC)962585992 |
| -- | (OCoLC)966211376 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 508833 |
| Source of stock number/acquisition | MIL |
| 042 ## - AUTHENTICATION CODE | |
| Authentication code | pcc |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA612 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 005000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 034000 |
| Source | bisacsh |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.8 |
| Edition number | 23 |
| 084 ## - OTHER CLASSIFICATION NUMBER | |
| Classification number | MAT034000 |
| Source of number | bisacsh |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Vallin, Robert W. |
| 245 14 - TITLE STATEMENT | |
| Title | The elements of Cantor sets : |
| Remainder of title | with applications / |
| Statement of responsibility, etc | Robert W. Vallin. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | First edition. |
| 264 #1 - | |
| -- | Hoboken, New Jersey : |
| -- | Wiley, |
| -- | [2013] |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource. |
| 336 ## - | |
| -- | text |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | rdacarrier |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | "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"-- |
| -- | Provided by publisher. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 588 ## - | |
| -- | Description based on print version record and CIP data provided by publisher. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover; Title Page; Copyright Page; CONTENTS; Foreword; Preface; Acknowledgments; Introduction; 1 A Quick Biography of Cantor; 2 Basics; 2.1 Review; Exercises; 3 Introducing the Cantor Set; 3.1 Some Definitions and Basics; 3.2 Size of a Cantor Set; 3.2.1 Cardinality; 3.2.2 Category; 3.2.3 Measure; 3.3 Large and Small; Exercises; 4 Cantor Sets and Continued Fractions; 4.1 Introducing Continued Fractions; 4.2 Constructing a Cantor Set; 4.3 Diophantine Equations; 4.4 Miscellaneous; Exercises; 5 p-adic Numbers and Valuations; 5.1 Some Abstract Algebra; 5.2 p-adic Numbers. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 5.2.1 An Analysis Point of View5.2.2 An Algebra Point of View; 5.3 p-adic Integers and Cantor Sets; 5.4 p-adic Rational Numbers; Exercises; 6 Self-Similar Objects; 6.1 The Meaning of Self-Similar; 6.2 Metric Spaces; 6.3 Sequences in (S, d); 6.4 Affine Transformations; 6.5 An Application for an IFS; Exercises; 7 Various Notions of Dimension; 7.1 Limit Supremum and Limit Infimum; 7.2 Topological Dimension; 7.3 Similarity Dimension; 7.4 Box-Counting Dimension; 7.5 Hausdorff Measure and Dimension; 7.6 Miscellaneous Notions of Dimension; Exercises; 8 Porosity and Thickness-Looking at the Gaps. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 8.1 The Porosity of a Set8.2 Symmetric Sets and Symmetric Porosity; 8.3 A New and Different Definition of Cantor Set; 8.4 Thickness of a Cantor Set; 8.5 Applying Thickness; 8.6 A Bit More on Thickness; 8.7 Porosity in a Metric Space; Exercises; 9 Creating Pathological Functions via C; 9.1 Sequences of Functions; 9.2 The Cantor Function; 9.3 Space-Filling Curves; 9.4 Baire Class One Functions; 9.5 Darboux Functions; 9.6 Linearly Continuous Functions; Exercises; 10 Generalizations and Applications; 10.1 Generalizing Cantor Sets; 10.2 Fat Cantor Sets; 10.3 Sums of Cantor Sets. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 10.4 Differences of Cantor Sets10.5 Products of Cantor Sets; 10.6 Cantor Target; 10.7 Ana Sets; 10.8 Average Distance; 10.9 Non-Averaging Sets; 10.10 Cantor Series and Cantor Sets; 10.11 Liouville Numbers and Irrationality Exponents; 10.12 Sets of Sums of Convergent Alternating Series; 10.13 The Monty Hall Problem; 11 Epilogue; References; Index. |
| 600 10 - SUBJECT ADDED ENTRY--PERSONAL NAME | |
| Personal name | Cantor, George, |
| Dates associated with a name | 1941- |
| 600 17 - SUBJECT ADDED ENTRY--PERSONAL NAME | |
| Personal name | Cantor, George, |
| Dates associated with a name | 1941- |
| Source of heading or term | fast |
| -- | (OCoLC)fst00020672 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Cantor sets. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Measure theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical analysis. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS / Mathematical Analysis. |
| Source of heading or term | bisacsh |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Cantor, George, 1941- |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Cantor sets. |
| Source of heading or term | fast |
| -- | (OCoLC)fst00846144 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical analysis. |
| Source of heading or term | fast |
| -- | (OCoLC)fst01012068 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Measure theory. |
| Source of heading or term | fast |
| -- | (OCoLC)fst01013175 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 655 #7 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| Source of term | local |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| Main entry heading | Vallin, Robert W. |
| Title | Elements of Cantor sets |
| Edition | First edition. |
| Place, publisher, and date of publication | Hoboken, New Jersey : John Wiley & Sons, Inc., [2013] |
| International Standard Book Number | 9781118405710 |
| Record control number | (DLC) 2013009452 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://onlinelibrary.wiley.com/book/10.1002/9781118548745">http://onlinelibrary.wiley.com/book/10.1002/9781118548745</a> |
| Public note | Wiley Online Library |
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