Measure, Topology, and Fractal Geometry (Record no. 425799)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04307nam a22005295i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9780387747491 |
| -- | 978-0-387-74749-1 |
| 024 7# - | |
| -- | 10.1007/978-0-387-74749-1 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA611-614.97 |
| 072 #7 - | |
| -- | PBP |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT038000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBP |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 514 |
| Edition number | 23 |
| 245 10 - TITLE STATEMENT | |
| Title | Measure, Topology, and Fractal Geometry |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | edited by Gerald Edgar. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | New York, NY : |
| Name of producer, publisher, distributor, manufacturer | Springer New York, |
| Date of production, publication, distribution, manufacture | 2008. |
| 300 ## - | |
| -- | XVI, 272 p. 169 illus., 20 illus. in color. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | Undergraduate Texts in Mathematics, |
| -- | 0172-6056 |
| 505 0# - | |
| -- | Fractal Examples -- Metric Topology -- Topological Dimension -- Self-Similarity -- Measure Theory -- Fractal Dimension -- Additional Topics. |
| 520 ## - | |
| -- | For the Second Edition of this highly regarded textbook, Gerald Edgar has made numerous additions and changes, in an attempt to provide a clearer and more focused exposition. The most important addition is an increased emphasis on the packing measure, so that now it is often treated on a par with the Hausdorff measure. The topological dimensions were rearranged for Chapter 3, so that the covering dimension is the major one, and the inductive dimensions are the variants. A "reduced cover class" notion was introduced to help in proofs for Method I or Method II measures. Research results since 1990 that affect these elementary topics have been taken into account. Some examples have been added, including Barnsley leaf and Julia set, and most of the figures have been re-drawn. From reviews of the First Edition: "...there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented high-school students at Ohio University in 1988, it is, in fact, an advanced undergraduate textbook about the mathematics of fractal geometry, treating such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology...the book also contains many good illustrations of fractals..." - Mathematics Teaching "The book can be recommended to students who seriously want to know about the mathematical foundation of fractals, and to lecturers who want to illustrate a standard course in metric topology by interesting examples." - Christoph Bandt, Mathematical Reviews "...not only intended to fit mathematics students who wish to learn fractal geometry from its beginning but also students in computer science who are interested in the subject. [For such students] the author gives the required topics from metric topology and measure theory on an elementary level. The book is written in a very clear style and contains a lot of exercises which should be worked out." - H.Haase, Zentralblatt. |
| 650 #0 - | |
| -- | Topology. |
| 650 #0 - | |
| -- | Mathematics. |
| 650 #0 - | |
| -- | Geometry. |
| 650 14 - | |
| -- | Topology. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M28000 |
| 650 24 - | |
| -- | Real Functions. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12171 |
| 650 24 - | |
| -- | Geometry. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M21006 |
| 650 24 - | |
| -- | Measure and Integration. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12120 |
| 700 1# - | |
| -- | Edgar, Gerald. |
| -- | editor. |
| -- | edt |
| -- | http://id.loc.gov/vocabulary/relators/edt |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9781441925695 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9780387521008 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9780387747484 |
| 830 #0 - | |
| -- | Undergraduate Texts in Mathematics, |
| -- | 0172-6056 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-0-387-74749-1 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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