Measure, Topology, and Fractal Geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1990
|
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | From the reviews: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal". Starting with Benoit Mandelbrot's remarkable text The Fractal Geometry of Nature, 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. However, the book also contains many good illustrations of fractals (including 16 color plates), together with Logo programs which were used to generate them. ... Here then, at last, is an answer to the question on the lips of so many: 'What exactly is a fractal?' I do not expect many of this book's readers to achieve a mature understanding of this answer to the question, but anyone interested in finding out about the mathematics of fractal geometry could not choose a better place to start looking." #Mathematics Teaching#1 |
| Beschreibung: | 1 Online-Ressource (XIII, 231 p) |
| ISBN: | 9781475741346 9781475741360 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4757-4134-6 |
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Datensatz im Suchindex
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| author | Edgar, Gerald A. |
| author_facet | Edgar, Gerald A. |
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| author_sort | Edgar, Gerald A. |
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| building | Verbundindex |
| bvnumber | BV042421578 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.8 |
| dewey-search | 515.8 |
| dewey-sort | 3515.8 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-4134-6 |
| format | Electronic eBook |
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| isbn | 9781475741346 9781475741360 |
| issn | 0172-6056 |
| language | English |
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| spelling | Edgar, Gerald A. Verfasser aut Measure, Topology, and Fractal Geometry by Gerald A. Edgar New York, NY Springer New York 1990 1 Online-Ressource (XIII, 231 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 From the reviews: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal". Starting with Benoit Mandelbrot's remarkable text The Fractal Geometry of Nature, 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. However, the book also contains many good illustrations of fractals (including 16 color plates), together with Logo programs which were used to generate them. ... Here then, at last, is an answer to the question on the lips of so many: 'What exactly is a fractal?' I do not expect many of this book's readers to achieve a mature understanding of this answer to the question, but anyone interested in finding out about the mathematics of fractal geometry could not choose a better place to start looking." #Mathematics Teaching#1 Mathematics Topology Real Functions Mathematik Fraktal (DE-588)4123220-3 gnd rswk-swf Metrik Mathematik (DE-588)4193458-1 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Fraktalgeometrie (DE-588)4473576-5 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Metrik Mathematik (DE-588)4193458-1 s Topologie (DE-588)4060425-1 s Geometrie (DE-588)4020236-7 s Fraktal (DE-588)4123220-3 s 2\p DE-604 Maßtheorie (DE-588)4074626-4 s 3\p DE-604 Fraktalgeometrie (DE-588)4473576-5 s 4\p DE-604 5\p DE-604 https://doi.org/10.1007/978-1-4757-4134-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Edgar, Gerald A. Measure, Topology, and Fractal Geometry Mathematics Topology Real Functions Mathematik Fraktal (DE-588)4123220-3 gnd Metrik Mathematik (DE-588)4193458-1 gnd Topologie (DE-588)4060425-1 gnd Maßtheorie (DE-588)4074626-4 gnd Geometrie (DE-588)4020236-7 gnd Fraktalgeometrie (DE-588)4473576-5 gnd |
| subject_GND | (DE-588)4123220-3 (DE-588)4193458-1 (DE-588)4060425-1 (DE-588)4074626-4 (DE-588)4020236-7 (DE-588)4473576-5 (DE-588)4123623-3 |
| title | Measure, Topology, and Fractal Geometry |
| title_auth | Measure, Topology, and Fractal Geometry |
| title_exact_search | Measure, Topology, and Fractal Geometry |
| title_full | Measure, Topology, and Fractal Geometry by Gerald A. Edgar |
| title_fullStr | Measure, Topology, and Fractal Geometry by Gerald A. Edgar |
| title_full_unstemmed | Measure, Topology, and Fractal Geometry by Gerald A. Edgar |
| title_short | Measure, Topology, and Fractal Geometry |
| title_sort | measure topology and fractal geometry |
| topic | Mathematics Topology Real Functions Mathematik Fraktal (DE-588)4123220-3 gnd Metrik Mathematik (DE-588)4193458-1 gnd Topologie (DE-588)4060425-1 gnd Maßtheorie (DE-588)4074626-4 gnd Geometrie (DE-588)4020236-7 gnd Fraktalgeometrie (DE-588)4473576-5 gnd |
| topic_facet | Mathematics Topology Real Functions Mathematik Fraktal Metrik Mathematik Topologie Maßtheorie Geometrie Fraktalgeometrie Lehrbuch |
| url | https://doi.org/10.1007/978-1-4757-4134-6 |
| work_keys_str_mv | AT edgargeralda measuretopologyandfractalgeometry |