A Student's Guide to Laplace Transforms

A Student's Guide to Laplace Transforms PDF Author: Daniel Fleisch
Publisher: Cambridge University Press
ISBN: 1009098497
Category : Mathematics
Languages : en
Pages : 221

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Book Description
Clear explanations and supportive online material develop an intuitive understanding of the meaning and use of Laplace.

A Student's Guide to Laplace Transforms

A Student's Guide to Laplace Transforms PDF Author: Daniel Fleisch
Publisher: Cambridge University Press
ISBN: 1009098497
Category : Mathematics
Languages : en
Pages : 221

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Book Description
Clear explanations and supportive online material develop an intuitive understanding of the meaning and use of Laplace.

Laplace Transform (PMS-6)

Laplace Transform (PMS-6) PDF Author: David Vernon Widder
Publisher: Princeton University Press
ISBN: 1400876451
Category : Mathematics
Languages : en
Pages : 417

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Book Description
Book 6 in the Princeton Mathematical Series. Originally published in 1941. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Handbook of Laplace Transformation

Handbook of Laplace Transformation PDF Author: Floyd E. Nixon
Publisher:
ISBN:
Category : Laplace transformation
Languages : en
Pages : 314

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Book Description


Laplace Transforms and Their Applications to Differential Equations

Laplace Transforms and Their Applications to Differential Equations PDF Author: N.W. McLachlan
Publisher: Courier Corporation
ISBN: 0486798232
Category : Mathematics
Languages : en
Pages : 241

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Book Description
Classic graduate-level exposition covers theory and applications to ordinary and partial differential equations. Includes derivation of Laplace transforms of various functions, Laplace transform for a finite interval, and more. 1948 edition.

The Laplace Transform

The Laplace Transform PDF Author: Joel L. Schiff
Publisher:
ISBN: 9781475772616
Category :
Languages : en
Pages : 252

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Book Description


Numerical Methods for Laplace Transform Inversion

Numerical Methods for Laplace Transform Inversion PDF Author: Alan M. Cohen
Publisher: Springer Science & Business Media
ISBN: 0387688552
Category : Mathematics
Languages : en
Pages : 262

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Book Description
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 such as ordinary and partial differential equations.

Complex Variables and the Laplace Transform for Engineers

Complex Variables and the Laplace Transform for Engineers PDF Author: Wilbur R. LePage
Publisher: Courier Corporation
ISBN: 0486136442
Category : Technology & Engineering
Languages : en
Pages : 516

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Book Description
Acclaimed text on engineering math for graduate students covers theory of complex variables, Cauchy-Riemann equations, Fourier and Laplace transform theory, Z-transform, and much more. Many excellent problems.

An Introduction to Laplace Transforms and Fourier Series

An Introduction to Laplace Transforms and Fourier Series PDF Author: P.P.G. Dyke
Publisher: Springer Science & Business Media
ISBN: 1447105052
Category : Mathematics
Languages : en
Pages : 257

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Book Description
This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. It is unusual in treating Laplace transforms at a relatively simple level with many examples. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction. Suitable as a course text, it will also be of interest to physicists and engineers as supplementary material.

Handbook of Mellin Transforms

Handbook of Mellin Transforms PDF Author: Yu. A. Brychkov
Publisher: CRC Press
ISBN: 0429784430
Category : Mathematics
Languages : en
Pages : 788

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Book Description
The Mellin transformation is widely used in various problems of pure and applied mathematics, in particular, in the theory of differential and integral equations and the theory of Dirichlet series. It is found in extensive applications in mathematical physics, number theory, mathematical statistics, theory of asymptotic expansions, and especially, in the theory of special functions and integral transformations. It is essentially used in algorithms of integration in computer algebra systems. Since the majority of integrals encountered in applications can be reduced to the form of the corresponding Mellin transforms with specific parameters, this handbook can also be used for definite and indefinite integrals. By changes in variables, the Mellin transform can be turned into the Fourier and Laplace transforms. The appendices contain formulas of connection with other integral transformations, and an algorithm for determining regions of convergence of integrals. The Handbook of Mellin Transforms will be of interest and useful to all researchers and engineers who use mathematical methods. It will become the main source of formulas of Mellin transforms, as well as indefinite and definite integrals.

Vector-valued Laplace Transforms and Cauchy Problems

Vector-valued Laplace Transforms and Cauchy Problems PDF Author: Wolfgang Arendt
Publisher: Springer Science & Business Media
ISBN: 3034850751
Category : Mathematics
Languages : en
Pages : 526

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Book Description
Linear evolution equations in Banach spaces have seen important developments in the last two decades. This is due to the many different applications in the theory of partial differential equations, probability theory, mathematical physics, and other areas, and also to the development of new techniques. One important technique is given by the Laplace transform. It played an important role in the early development of semigroup theory, as can be seen in the pioneering monograph by Rille and Phillips [HP57]. But many new results and concepts have come from Laplace transform techniques in the last 15 years. In contrast to the classical theory, one particular feature of this method is that functions with values in a Banach space have to be considered. The aim of this book is to present the theory of linear evolution equations in a systematic way by using the methods of vector-valued Laplace transforms. It is simple to describe the basic idea relating these two subjects. Let A be a closed linear operator on a Banach space X. The Cauchy problern defined by A is the initial value problern (t 2 0), (CP) {u'(t) = Au(t) u(O) = x, where x E X is a given initial value. If u is an exponentially bounded, continuous function, then we may consider the Laplace transform 00 u(>. ) = 1 e-). . tu(t) dt of u for large real>. .