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Analysis and Probability: Wavelets Signals Fractals [PDF] (Valkura)

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 							Analysis and Probability
  
  Wavelets, Signals, Fractals
  
  Series: Graduate Texts in
Mathematics, Vol. 234
  
  Jorgensen, Palle E. T.
  
  2006, XLVII, 276 p. 58 illus.
  
 

  This book, combining analysis and tools from mathematical probability, focuses on a systematic and novel
presentation of recent trends in pure and applied mathematics: the emergence of three fields, wavelets, signals and
fractals. The unity of basis constructions and their expansions is emphasized as the starting point for the development
of bases that are computationally efficient for use in several areas from wavelets to fractals.
  
  The book
brings together tools from engineering and math, especially from signal- and image processing, and from harmonic
analysis and operator theory. The presentation is aimed at graduate students, as well as users from a diverse spectrum
of applications.
  
  Key features:
  
   • A hands-on approach for students, including
tutorials and numerous exercises;
  
   • Excellent motivation throughout;
  
   • New
pedagogical features: glossary of terms, their use in mathematics and in engineering, help for cross-audiences, image
processing, visual presentation of key algorithms, structure and geometry of big matrix computations, explanation of
uses of the theory in applications outside of mathematics;
  
   • Includes more than 50 figures with
captions, illustrating the main ideas, plus engineering diagrams, graphic renditions of algorithms, and separate
illustrations;
  
   • Separate sections in the book explain engineering terms to mathematicians, and
operator theory to engineers;
  
   • Each chapter concludes with a helpful guide to the literature
allowing students to follow up on the topics in the book.
  
  Palle E.T. Jorgensen is a Professor of
Mathematics at the University of Iowa. This book is based in part on interdisciplinary courses that he has taught over
the last several years, and on his work with his current and former students. His most recent book was written jointly
with Ola Bratteli and is entitled Wavelets through a Looking Glass, ©2002 Birkhäuser Boston.
  
 
Content Level » Research
  
  Related subjects » Analysis - Applications - Computational Intelligence
and Complexity - Probability Theory and Stochastic Processes - Signals & Communication  						

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