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#### Integral Transforms for Engineers

SPIE 1999; US$ 54.00Integral transform methods provide effective ways to solve a variety of problems arising in the engineering, optical, and physical sciences. Suitable as a self-study for practicing engineers and applied mathematicians and as a textbook in graduate-level courses in optics, engineering sciences, physics, and mathematics. more...

#### Vector-valued Laplace Transforms and Cauchy Problems

Springer 2011; US$ 129.00This 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...

#### The Laplace Transform

World Scientific Publishing Company 1984; US$ 69.00The classical theory of the Laplace Transform can open many new avenues when viewed from a modern, semi-classical point of view. In this book, the author re-examines the Laplace Transform and presents a study of many of the applications to differential equations, differential-difference equations and the renewal equation. more...

#### Operational Calculus

Elsevier Science 2014; US$ 72.95Operational Calculus, Volume II is a methodical presentation of operational calculus. An outline of the general theory of linear differential equations with constant coefficients is presented. Integral operational calculus and advanced topics in operational calculus, including locally integrable functions and convergence in the space of operators,... more...

#### Generalized Calculus with Applications to Matter and Forces

CRC Press 2015; US$ 89.95"... strongly application oriented. ... The language (text, figures) of the book is precise, attractive, inspiring, and very readable. The book is strongly recommended for students, teachers, and scientists. It is very good for self-study." ?Zentralblatt MATH 1297 "Engineers looking for detailed approaches to the use of distributions in solving... more...

#### Numerical Methods for Laplace Transform Inversion

Springer 2007; US$ 139.00This 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...

#### Integral Transforms and Their Applications, Third Edition

CRC Press 2015; US$ 119.95Integral Transforms. Fourier Transforms and Their Applications. Laplace Transforms and Their Basic Properties. Applications of Laplace Transforms. Fractional Calculus and Its Applications. Applications of Integral Transforms to Fractional Differential Equations. Hankel Transforms and Their Applications. Mellin Transforms and Their Applications. Hilbert... more...

#### Hilbert-huang Transform And Its Applications

World Scientific Publishing Company 2005; US$ 274.00The 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...

#### Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180)

Princeton University Press 2012; US$ 78.50Convolution 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...

#### Operational Calculus

Elsevier Science 2014; US$ 72.95Pure and Applied Mathematics, Volume 109: Operational Calculus, Second Edition. Volume I presents the foundations of operational calculus and its applications to physics and engineering. This book introduces the operators algebraically as a kind of fractions. Organized into three parts, this volume begins with an overview of the concept as well as... more...