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20240329122006.0 |
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230209s2014 xx o ||| 0 eng d |
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|a EBLCP
|b eng
|c EBLCP
|d OCLCQ
|d OCLCO
|d OCLCQ
|d EBLCP
|d OCLCQ
|d OCLCL
|d OCLCQ
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| 020 |
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|a 9781118762851
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|a 1118762851
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|a (OCoLC)1347026583
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|a 514/.742
|q OCoLC
|2 23/eng/20230216
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| 049 |
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|a UAMI
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| 100 |
1 |
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|a Falconer, Kenneth.
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| 245 |
1 |
0 |
|a Fractal Geometry
|h [electronic resource] :
|b Mathematical Foundations and Applications.
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| 260 |
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2014.
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| 300 |
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|a 1 online resource (400 p.).
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| 490 |
1 |
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|a New York Academy of Sciences Ser.
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| 500 |
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|a Description based upon print version of record.
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0 |
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|a Cover -- Title Page -- Copyright -- Contents -- Preface to the first edition -- Preface to the second edition -- Preface to the third edition -- Course suggestions -- Introduction -- Part I Foundations -- Chapter 1 Mathematical background -- 1.1 Basic set theory -- 1.2 Functions and limits -- 1.3 Measures and mass distributions -- 1.4 Notes on probability theory -- 1.5 Notes and references -- Exercises -- Chapter 2 Box-counting dimension -- 2.1 Box-counting dimensions -- 2.2 Properties and problems of box-counting dimension -- 2.3 Modified box-counting dimensions
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| 505 |
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|a 2.4 Some other definitions of dimension -- 2.5 Notes and references -- Exercises -- Chapter 3 Hausdorff and packing measures and dimensions -- 3.1 Hausdorff measure -- 3.2 Hausdorff dimension -- 3.3 Calculation of Hausdorff dimension-simple examples -- 3.4 Equivalent definitions of Hausdorff dimension -- 3.5 Packing measure and dimensions -- 3.6 Finer definitions of dimension -- 3.7 Dimension prints -- 3.8 Porosity -- 3.9 Notes and references -- Exercises -- Chapter 4 Techniques for calculating dimensions -- 4.1 Basic methods -- 4.2 Subsets of finite measure -- 4.3 Potential theoretic methods
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| 505 |
8 |
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|a 4.4 Fourier transform methods -- 4.5 Notes and references -- Exercises -- Chapter 5 Local structure of fractals -- 5.1 Densities -- 5.2 Structure of 1-sets -- 5.3 Tangents to s-sets -- 5.4 Notes and references -- Exercises -- Chapter 6 Projections of fractals -- 6.1 Projections of arbitrary sets -- 6.2 Projections of s-sets of integral dimension -- 6.3 Projections of arbitrary sets of integral dimension -- 6.4 Notes and references -- Exercises -- Chapter 7 Products of fractals -- 7.1 Product formulae -- 7.2 Notes and references -- Exercises -- Chapter 8 Intersections of fractals
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| 505 |
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|a 8.1 Intersection formulae for fractals -- 8.2 Sets with large intersection -- 8.3 Notes and references -- Exercises -- Part II Applications and Examples -- Chapter 9 Iterated function systems-self-similar and self-affine sets -- 9.1 Iterated function systems -- 9.2 Dimensions of self-similar sets -- 9.3 Some variations -- 9.4 Self-affine sets -- 9.5 Applications to encoding images -- 9.6 Zeta functions and complex dimensions -- 9.7 Notes and references -- Exercises -- Chapter 10 Examples from number theory -- 10.1 Distribution of digits of numbers -- 10.2 Continued fractions
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| 505 |
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|a 10.3 Diophantine approximation -- 10.4 Notes and references -- Exercises -- Chapter 11 Graphs of functions -- 11.1 Dimensions of graphs -- 11.2 Autocorrelation of fractal functions -- 11.3 Notes and references -- Exercises -- Chapter 12 Examples from pure mathematics -- 12.1 Duality and the Kakeya problem -- 12.2 Vitushkin's conjecture -- 12.3 Convex functions -- 12.4 Fractal groups and rings -- 12.5 Notes and references -- Exercises -- Chapter 13 Dynamical systems -- 13.1 Repellers and iterated function systems -- 13.2 The logistic map -- 13.3 Stretching and folding transformations
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| 500 |
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|a 13.4 The solenoid
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 655 |
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0 |
|a Electronic books.
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| 758 |
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|i has work:
|a Fractal geometry (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGffqqt3bbyRdBdpmcBYrm
|4 https://id.oclc.org/worldcat/ontology/hasWork
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| 776 |
0 |
8 |
|i Print version:
|a Falconer, Kenneth
|t Fractal Geometry
|d Newark : John Wiley & Sons, Incorporated,c2014
|z 9781119942399
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| 830 |
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0 |
|a New York Academy of Sciences Ser.
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7104044
|z Texto completo
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| 938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL7104044
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| 994 |
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|a 92
|b IZTAP
|
