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Books > Science & Mathematics > Mathematics > Applied mathematics > Fractals
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Interpolation and Approximation with Splines and fractals (Hardcover, New)
Loot Price: R1,961
Discovery Miles 19 610
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Interpolation and Approximation with Splines and fractals (Hardcover, New)
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This textbook is intended to supplement the classical theory of
uni- and multivariate splines and their approximation and
interpolation properties with those of fractals, fractal functions,
and fractal surfaces. This synthesis will complement currently
required courses dealing with these topics and expose the
prospective reader to some new and deep relationships. In addition
to providing a classical introduction to the main issues involving
approximation and interpolation with uni- and multivariate splines,
cardinal and exponential splines, and their connection to wavelets
and multiscale analysis, which comprises the first half of the
book, the second half will describe fractals, fractal functions and
fractal surfaces, and their properties. This also includes the new
burgeoning theory of superfractals and superfractal functions. The
theory of splines is well-established but the relationship to
fractal functions is novel. Throughout the book, connections
between these two apparently different areas will be exposed and
presented. In this way, more options are given to the prospective
reader who will encounter complex approximation and interpolation
problems in real-world modeling. Numerous examples, figures, and
exercises accompany the material.
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