Time's Fool

"[This text] is carefully prepared, well-organized, and covers a large part of the central theory . . . [there are] chapters on biorthogonal wavelets and wavelet packets, topics which are rare in wavelet books. Both are important, and this feature is an extra argument in favour of [this] book . . . the material is accessible [even] to less advanced readers . . . the book is a nice addition to the series."&nbsp;&nbsp; —Zentralblatt Math 
"This book can be recommended to everyone, especially to students looking for a detailed introduction to the subject."&nbsp;&nbsp; —Mathematical Reviews 
"This textbook is an introduction to the mathematical theory of wavelet analysis at the level of advanced calculus. Some applications are described, but the main purpose of the book is to develop—using only tools from a first course in advanced calculus—a solid foundation in wavelet theory. It succeeds admirably.&nbsp;. . . Part I of the book contains 112 pages of preliminary material, consisting of four chapters on ‘Functions and Convergence,’ ‘Fourier Series,’ ‘Fourier Transforms,’ and ‘Signals and Systems.’ . . . This preliminary material is so well written that it could serve as an excellent supplement to a first course in advanced calculus.&nbsp;. . . The heart of the book is Part III: ‘Orthonormal Wavelet bases.’ This material has become the canonical portion of wavelet theory. Walnut does a first-rate job explaining the ideas here. . . . Ample references are supplied to aid the reader. . . . There are exercises at the end of each section, 170 in all, and they seem to be consistent with the level of the text. . . . To cover the whole book would require a year. An excellent one-semester course could be based on a selection of chapters from Parts II, III, and V."&nbsp;&nbsp; —SIAM Review
"D. Walnut's lovely book aims at the upper undergraduate level, and so it includes relatively more preliminary material . . . than is typically the case in a graduate text. It goes from Haar systems to multiresolutions, and then the discrete wavelet transform . . . The applications to image compression are wonderful, and the best I have seen in books at this level. I also found the analysis of the best choice of basis, and wavelet packet, especially attractive. The later chapters include MATLAB codes. Highly recommended!"&nbsp;&nbsp; —Bulletin of the AMS

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"The book will prove a great help to everybody who would like to enter the field of experimental and or clinical research.  Those who are interested in basic understanding microbiology of cancer will enjoy this as well."    -Neoplasma

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"There is no doubt, however, that the 13 well written contributions reflect the importance and evolving challenge of P. aeruginosa infections, and provide clinicians, scientists - and inquisitive young microbiologists - with a highly informative and state-of-the art resource." (Microbiology Today, 31 (February 2004)

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PURE APPLIED GEOPHYSICS
"The presentation is exceptionally good, with a systematic progression from simpler to more sophisticated problems. This is very helpful to those readers not familiar with the subject…Every seismological term and every necessary mathematical concept is explained so that the book is actually self-contained…The mathematics are…kept are at a sufficiently low level of mathematical sophistication to make the book easy for its intended readership…Another advantage of the book is a careful choice of the variables…Exercises stimulate the reader’s initiative and inquisitiveness. This is rather unusual in geophysical literature…Even for seasoned seismologists the book will provide an incentive to upgrade their know-how."

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From the reviews:“This book is the result of a life’s work by some notable scientists and, indeed, the amount of information and knowledge the reader can gather here is impressive. This is a stimulating book which should be seen both as a reference tool and as a useful starting point for each topic it touches.” (Maurizio Vianello, Mathematical Reviews, March, 2014)

Time's Fool

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