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Calculus, Operational

  • Integral Transform Techniques for Green's Functionby Kazumi Watanabe

    Springer 2013; US$ 129.00

    In this book mathematical techniques for integral transforms are described in detail but concisely. The techniques are applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. The Green's functions for beams, plates and acoustic media are also shown along with their mathematical... more...

  • Convolution and Equidistributionby Nicholas M. Katz

    Princeton University Press 2012; US$ 75.00

    Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view. The book presents fundamentally important results and a plethora of examples, opening up new directions in the subject. The finite-field Mellin transform... more...

  • The Hilbert Transform of Schwartz Distributions and Applicationsby J. N. Pandey

    Wiley 2011; US$ 200.00

    This book provides a modern and up-to-date treatment of the Hilbert transform of distributions and the space of periodic distributions. Taking a simple and effective approach to a complex subject, this volume is a first-rate textbook at the graduate level as well as an extremely useful reference for mathematicians, applied scientists, and engineers.... more...

  • Vector-valued Laplace Transforms and Cauchy Problemsby Wolfgang Arendt; Charles J.K. Batty; Matthias Hieber; Frank Neubrander

    Springer 2011; US$ 129.00

    This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence and uniqueness, regularity, approximation and above... more...

  • Integral Transforms and Their Applications, Second Editionby Lokenath Debnath; Dambaru Bhatta

    Taylor and Francis 2010; US$ 109.95

    Keeping the style, content, and focus that made the first edition a bestseller, Integral Transforms and their Applications, Second Edition stresses the development of analytical skills rather than the importance of more abstract formulation. The authors provide a working knowledge of the analytical methods required in pure and applied mathematics,... more...

  • Operational Calculus and Related Topicsby A. P. Prudnikov; K.A. Skórnik

    Taylor and Francis 2010; US$ 119.95

    Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use in the fields of mathematics, physics, and electrical and radio engineering. Operational Calculus and Related Topics highlights the classical methods and applications as well as the recent advances in... more...

  • Mathematical Tables: Laplace Transformsby MobileReference

    MobileReference.com 2010; US$ 3.99

    Students and research workers in mathematics, physics, engineering and other sciences will find this compilation invaluable. All the information included is practical, rarely used results are excluded. Great care has been taken to present all results concisely and clearly. Excellent to keep as a handy reference! If you don't have a lot of time... more...

  • Numerical Methods for Laplace Transform Inversionby Alan M. Cohen

    Springer 2007; US$ 119.00

    This book gives background material on the theory of Laplace transforms, together with a fairly comprehensive list of methods that are available at the current time. Computer programs are included for those methods that perform consistently well on a wide range of Laplace transforms. Operational methods have been used for over a century to solve problems... more...

  • Hilbert-huang Transform And Its Applicationsby Norden E Huang; Samuel S P Shen

    World Scientific Publishing Company 2005; US$ 274.00

    The Hilbert?Huang Transform (HHT) represents a desperate attempt to break the suffocating hold on the field of data analysis by the twin assumptions of linearity and stationarity. Unlike spectrograms, wavelet analysis, or the Wigner?Ville Distribution, HHT is truly a time-frequency analysis, but it does not require an a priori functional basis and,... more...

  • H-Transformsby Anatoly A. Kilbas

    Taylor and Francis 2004; US$ 154.95

    Along with more than 2100 integral equations and their solutions, this handbook outlines exact analytical methods for solving linear and nonlinear integral equations and provides an evaluation of approximate methods. Each section provides examples that show how methods can be applied to specific equations. more...