C lculo operacional. La transformada de Laplace PDF Download
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Author: J. Mateos Palacio
Publisher: Universidad de Oviedo
ISBN: 9788474687491
Category : Mathematics
Languages : es
Pages : 122
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Book Description
Author: Maurice Denis-Papin
Publisher:
ISBN:
Category :
Languages : es
Pages : 207
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Book Description
Author: Ameling Walter
Publisher: Springer-Verlag
ISBN: 3322897478
Category : Mathematics
Languages : de
Pages : 292
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Book Description
Author: Walter Ameling
Publisher: Springer-Verlag
ISBN: 3663068102
Category : Technology & Engineering
Languages : de
Pages : 292
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Book Description
Author: K. A. Stroud
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 294
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Book Description
Author: G. Doetsch
Publisher: Springer Science & Business Media
ISBN: 3642656900
Category : Mathematics
Languages : en
Pages : 335
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Book Description
In anglo-american literature there exist numerous books, devoted to the application of the Laplace transformation in technical domains such as electrotechnics, mechanics etc. Chiefly, they treat problems which, in mathematical language, are governed by ordi nary and partial differential equations, in various physically dressed forms. The theoretical foundations of the Laplace transformation are presented usually only in a simplified manner, presuming special properties with respect to the transformed func tions, which allow easy proofs. By contrast, the present book intends principally to develop those parts of the theory of the Laplace transformation, which are needed by mathematicians, physicists a,nd engineers in their daily routine work, but in complete generality and with detailed, exact proofs. The applications to other mathematical domains and to technical prob lems are inserted, when the theory is adequately· developed to present the tools necessary for their treatment. Since the book proceeds, not in a rigorously systematic manner, but rather from easier to more difficult topics, it is suited to be read from the beginning as a textbook, when one wishes to familiarize oneself for the first time with the Laplace transforma tion. For those who are interested only in particular details, all results are specified in "Theorems" with explicitly formulated assumptions and assertions. Chapters 1-14 treat the question of convergence and the mapping properties of the Laplace transformation. The interpretation of the transformation as the mapping of one function space to another (original and image functions) constitutes the dom inating idea of all subsequent considerations.
Author: Peter K.F. Kuhfittig
Publisher: Springer Science & Business Media
ISBN: 1489922016
Category : Mathematics
Languages : en
Pages : 208
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Book Description
The purpose of this book is to give an introduction to the Laplace transform on the undergraduate level. The material is drawn from notes for a course taught by the author at the Milwaukee School of Engineering. Based on classroom experience, an attempt has been made to (1) keep the proofs short, (2) introduce applications as soon as possible, (3) concentrate on problems that are difficult to handle by the older classical methods, and (4) emphasize periodic phenomena. To make it possible to offer the course early in the curriculum (after differential equations), no knowledge of complex variable theory is assumed. However, since a thorough study of Laplace. transforms requires at least the rudiments of this theory, Chapter 3 includes a brief sketch of complex variables, with many of the details presented in Appendix A. This plan permits an introduction of the complex inversion formula, followed by additional applications. The author has found that a course taught three hours a week for a quarter can be based on the material in Chapters 1, 2, and 5 and the first three sections of Chapter 7. If additional time is available (e.g., four quarter-hours or three semester-hours), the whole book can be covered easily. The author is indebted to the students at the Milwaukee School of Engineering for their many helpful comments and criticisms.
Author: Richard Bellman
Publisher: World Scientific
ISBN: 9814513563
Category : Laplace transformation
Languages : en
Pages : 175
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Book Description
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.
Author: John Conrad Jaeger
Publisher:
ISBN:
Category : Integral transforms
Languages : en
Pages : 168
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Book Description
Author: Urs Graf
Publisher: Springer Science & Business Media
ISBN: 9783764324278
Category : Computers
Languages : en
Pages : 514
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Book Description
The book presents theory and applications of Laplace and z-transforms together with a Mathematica package developed by the author. The package substantially enhances the built-in Laplace and z-transforms facilities of Mathematica. The emphasis lies on the computational and applied side, particularly in the fields of control engineering, electrical engineering, mechanics (heat conduction, diffusion, vibrations). Many worked out examples from engineering and sciences illustrate the applicability of the theory and the usage of the package.
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.
