An Introduction To Laplace Transforms And Fourier Series

Author: Phil Dyke
Publisher: Springer Science & Business Media
ISBN: 1447163958
File Size: 59,87 MB
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In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets. Only knowledge of elementary trigonometry and calculus are required as prerequisites. An Introduction to Laplace Transforms and Fourier Series will be useful for second and third year undergraduate students in engineering, physics or mathematics, as well as for graduates in any discipline such as financial mathematics, econometrics and biological modelling requiring techniques for solving initial value problems.

Schaum S Outline Of Laplace Transforms

Author: Murray Spiegel
Publisher: McGraw Hill Professional
ISBN: 9780070602311
File Size: 78,72 MB
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Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.

La Place

Author: Annie Ernaux
Publisher: Psychology Press
ISBN: 0415059267
File Size: 24,56 MB
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The full French text is accompanied by French-English vocabulary. Notes and a detailed introduction in English put the work in its social and historical context.

A Philosophical Essay On Probabilities

Author: Pierre Simon marquis de Laplace
Publisher:
ISBN:
File Size: 62,27 MB
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Fourier And Laplace Transforms

Author: R. J. Beerends
Publisher: Cambridge University Press
ISBN: 9780521534413
File Size: 39,79 MB
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This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and computer science.

The Laplace Transform

Author: Joel L. Schiff
Publisher: Springer Science & Business Media
ISBN: 0387227571
File Size: 18,59 MB
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The Laplace transform is a wonderful tool for solving ordinary and partial differential equations and has enjoyed much success in this realm. With its success, however, a certain casualness has been bred concerning its application, without much regard for hypotheses and when they are valid. Even proofs of theorems often lack rigor, and dubious mathematical practices are not uncommon in the literature for students. In the present text, I have tried to bring to the subject a certain amount of mathematical correctness and make it accessible to un dergraduates. Th this end, this text addresses a number of issues that are rarely considered. For instance, when we apply the Laplace trans form method to a linear ordinary differential equation with constant coefficients, any(n) + an-lY(n-l) + · · · + aoy = f(t), why is it justified to take the Laplace transform of both sides of the equation (Theorem A. 6)? Or, in many proofs it is required to take the limit inside an integral. This is always fraught with danger, especially with an improper integral, and not always justified. I have given complete details (sometimes in the Appendix) whenever this procedure is required. IX X Preface Furthermore, it is sometimes desirable to take the Laplace trans form of an infinite series term by term. Again it is shown that this cannot always be done, and specific sufficient conditions are established to justify this operation.

The Laplace Transform

Author: Richard Bellman
Publisher: World Scientific
ISBN: 9789971966737
File Size: 12,23 MB
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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.

The System Of The World

Author: Pierre Simon marquis de Laplace
Publisher:
ISBN:
File Size: 80,44 MB
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Integrals And Series Direct Laplace Transforms

Author: Anatoliĭ Platonovich Prudnikov
Publisher: CRC Press
ISBN: 9782881248375
File Size: 53,64 MB
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This, the fourth volume of the handbook Integrals and Series, contains tables of the direct Laplace transforms and includes results set forth in books of a similar kind and in periodical literature. All the tables are arranged in two columns - originals f(x) and corresponding images F(p). The Laplace transformation is extensively used in various problems of pure and applied mathematics. Particularly widespread and effective is its application to problems arising in the theory of operational calculus and its applications, embracing the most diverse branches of science and technology. An important advantage of methods using the Laplace transformation lies in the possibility of compiling tables of various elementary and special functions commonly encountered in applications. A number of Laplace transforms are expressed in terms of Meijer G-function. When combined with the table of special cases of the G-function, these formulae make it possible to obtain Laplace transforms of various elementary and special functions of mathematical physics.

Pierre Simon Laplace Philosophical Essay On Probabilities

Author: Pierre-Simon Laplace
Publisher: Springer Science & Business Media
ISBN: 1461241847
File Size: 70,82 MB
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