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Calculus, Operational

  • Integral Transforms for Engineersby Larry C. Andrews; Bhimsen K. Shivamoggi

    SPIE 1999; US$ 51.00

    Integral 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 Problemsby Wolfgang Arendt; Charles J.K. Batty; Matthias Hieber; Frank Neubrander

    Springer 2011; US$ 99.99

    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...

  • The Laplace Transformby Richard Bellman; Robert Roth

    World Scientific Publishing Company 1984; US$ 69.00

    The 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...

  • Numerical Methods for Laplace Transform Inversionby Alan M. Cohen

    Springer 2007; US$ 79.99

    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...

  • Integral Transforms and Their Applicationsby Lokenath Debnath

    CRC Press 2008; US$ 99.95

    Stresses the development of analytical skills rather than the importance of more abstract formulation. This book provides a working knowledge of the analytical methods required in pure and applied mathematics, physics, and engineering. It contains more than 500 worked examples and exercises with answers as well as hints to selected exercises. more...

  • Operational Calculus and Related Topicsby H.J. Glaeske

    Taylor & Francis 2006; US$ 107.95

    Presents an introduction to operational calculus, integral transforms, and generalized functions, the backbones of pure and applied mathematics. This work examines both the analytical and algebraic aspects of operational calculus and includes a comprehensive survey of classical results while stressing developments in the field. more...

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

    World Scientific Publishing Company 2005; US$ 151.00

    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...

  • Convolution and Equidistributionby Nicholas M. Katz

    Princeton University Press 2012; US$ 165.00

    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...

  • H-Transformsby Anatolii A. Kilbas; Megumi Saigo

    CRC Press 2004; US$ 139.95

    This volume presents a unified approach to the study of a wide class of integral transforms containing H- functions as Kernels (or H-Transforms) and their applications. It provides a general introduction to the theory of integral transforms and also 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...