King is a Professor in the Department of Chemistry at the University of Wisconsin-Eau Claire.Įncyclopedia of mathematics and its applicationsĪll the titles listed below can be obtained from good booksellers or from Cambridge University Press. The bibliography is an extensive collection of references to both the classical mathematical papers, and to a diverse array of applications. A collection of exercises is provided for the reader to test comprehension of the material in each chapter. These will provide useful and convenient resources for researchers. Especially valuable features are the tabulation of analytically evaluated Hilbert transforms, and an atlas that immediately illustrates how the Hilbert transform alters a function. It contains a thorough discussion of all the common Hilbert transforms, mathematical techniques for evaluating them, and a detailed discussion of their application. This work, written in an easy-to-use style, is destined to become the definitive reference on the subject. Hilbert Transforms The Hilbert transform arises widely in a variety of applications, including problems in aerodynamics, condensed matter physics, optics, fluids, and engineering.
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