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Books > Science & Mathematics > Mathematics > Probability & statistics
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Analysis and Probability - Wavelets, Signals, Fractals (Hardcover, 2006 ed.)
Loot Price: R1,681
Discovery Miles 16 810
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Analysis and Probability - Wavelets, Signals, Fractals (Hardcover, 2006 ed.)
Series: Graduate Texts in Mathematics, 234
Expected to ship within 12 - 17 working days
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This text, combining analysis and tools from mathematical
probability, focuses on a systematic and novel exposition of a
recent trend in pure and applied mathematics. The emphasis is on
the unity of basis constructions and their expansions (bases which
are computationally efficient), and on their use in several areas:
from wavelets to fractals. The aim of this book is to show how to
use processes from probability, random walks on branches, and their
path-space measures in the study of convergence questions from
harmonic analysis, with particular emphasis on the infinite
products that arise in the analysis of wavelets. The book brings
together tools from engineering (especially signal/image
processing) and mathematics (harmonic analysis and operator
theory). audience of students and workers in a variety of fields,
meeting at the crossroads where they merge; hands-on approach with
generous motivation; new pedagogical features to enhance teaching
techniques and experience; includes more than 34 figures with
detailed captions, illustrating the main ideas and visualizing the
deeper connections in the subject; separate sections explain
engineering terms to mathematicians and operator theory to
engineers; and, interdisciplinary presentation and approach,
combining central ideas from mathematical analysis (with a twist in
the direction of operator theory and harmonic analysis),
probability, computation, physics, and engineering. The
presentation includes numerous exercises that are essential to
reinforce fundamental concepts by helping both students and applied
users practice sketching functions or iterative schemes, as well as
to hone computational skills. Graduate students, researchers,
applied mathematicians, engineers and physicists alike will benefit
from this unique work in book form that fills a gap in the
literature.
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