Fractal Functions, Fractal Surfaces, and Wavelets by Peter R. Massopust

By Peter R. Massopust

Fractal services, Fractal Surfaces, and Wavelets, moment variation, is the 1st systematic exposition of the idea of neighborhood iterated functionality structures, neighborhood fractal features and fractal surfaces, and their connections to wavelets and wavelet units. The publication is predicated on Massopust’s paintings on and contributions to the idea of fractal interpolation, and the writer makes use of a few tools—including research, topology, algebra, and chance theory—to introduce readers to this interesting topic.

Though a lot of the cloth provided during this booklet is comparatively present (developed long ago a long time via the writer and his colleagues) and reasonably really expert, an informative historical past is supplied for these getting into the sector. With its coherent and entire presentation of the speculation of univariate and multivariate fractal interpolation, this publication will attract mathematicians in addition to to utilized scientists within the fields of physics, engineering, biomathematics, and desktop technological know-how. during this moment variation, Massopust contains pertinent software examples, additional discusses neighborhood IFS and new fractal interpolation or fractal information, extra develops the connections to wavelets and wavelet units, and deepens and extends the pedagogical content.

  • Offers a accomplished presentation of fractal services and fractal surfaces
  • Includes newest advancements in fractal interpolation
  • Connects fractal geometry with wavelet theory
  • Includes pertinent program examples, additional discusses neighborhood IFS and new fractal interpolation or fractal info, and additional develops the connections to wavelets and wavelet sets
  • Deepens and extends the pedagogical content

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Fractal Functions, Fractal Surfaces, and Wavelets

Fractal features, Fractal Surfaces, and Wavelets, moment version, is the 1st systematic exposition of the idea of neighborhood iterated functionality structures, neighborhood fractal features and fractal surfaces, and their connections to wavelets and wavelet units. The booklet relies on Massopust’s paintings on and contributions to the speculation of fractal interpolation, and the writer makes use of a couple of tools—including research, topology, algebra, and likelihood theory—to introduce readers to this fascinating topic.

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