An Introduction To Laplace Transforms And Fourier Series

Author : P.P.G. Dyke
Publisher : Springer Science & Business Media
ISBN 13 : 1447105052
Total Pages : 257 pages
Book Rating : 4.53/5 ( download)

DOWNLOAD NOW!

Download or read book An Introduction to Laplace Transforms and Fourier Series written by P.P.G. Dyke and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Phil Dyke
Publisher : Springer Science & Business Media
ISBN 13 : 9781852330156
Total Pages : 266 pages
Book Rating : 4.55/5 ( download)

DOWNLOAD NOW!

Download or read book An Introduction to Laplace Transforms and Fourier Series written by Phil Dyke and published by Springer Science & Business Media. This book was released on 2000-10-27 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Phil Dyke
Publisher :
ISBN 13 : 9781447163961
Total Pages : 336 pages
Book Rating : 4.66/5 ( download)

DOWNLOAD NOW!

Download or read book An Introduction to Laplace Transforms and Fourier Series written by Phil Dyke and published by . This book was released on 2014-04-30 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Phil Dyke
Publisher : Springer Science & Business Media
ISBN 13 : 1447163958
Total Pages : 325 pages
Book Rating : 4.54/5 ( download)

DOWNLOAD NOW!

Download or read book An Introduction to Laplace Transforms and Fourier Series written by Phil Dyke and published by Springer Science & Business Media. This book was released on 2014-03-24 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521534413
Total Pages : 468 pages
Book Rating : 4.10/5 ( download)

DOWNLOAD NOW!

Download or read book Fourier and Laplace Transforms written by and published by Cambridge University Press. This book was released on 2003-08-07 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 2003 textbook on Fourier and Laplace transforms for undergraduate and graduate students.

Author : Russell L. Herman
Publisher : CRC Press
ISBN 13 : 1498773729
Total Pages : 527 pages
Book Rating : 4.20/5 ( download)

DOWNLOAD NOW!

Download or read book An Introduction to Fourier Analysis written by Russell L. Herman and published by CRC Press. This book was released on 2016-09-19 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book helps students explore Fourier analysis and its related topics, helping them appreciate why it pervades many fields of mathematics, science, and engineering. This introductory textbook was written with mathematics, science, and engineering students with a background in calculus and basic linear algebra in mind. It can be used as a textbook for undergraduate courses in Fourier analysis or applied mathematics, which cover Fourier series, orthogonal functions, Fourier and Laplace transforms, and an introduction to complex variables. These topics are tied together by the application of the spectral analysis of analog and discrete signals, and provide an introduction to the discrete Fourier transform. A number of examples and exercises are provided including implementations of Maple, MATLAB, and Python for computing series expansions and transforms. After reading this book, students will be familiar with: • Convergence and summation of infinite series • Representation of functions by infinite series • Trigonometric and Generalized Fourier series • Legendre, Bessel, gamma, and delta functions • Complex numbers and functions • Analytic functions and integration in the complex plane • Fourier and Laplace transforms. • The relationship between analog and digital signals Dr. Russell L. Herman is a professor of Mathematics and Professor of Physics at the University of North Carolina Wilmington. A recipient of several teaching awards, he has taught introductory through graduate courses in several areas including applied mathematics, partial differential equations, mathematical physics, quantum theory, optics, cosmology, and general relativity. His research interests include topics in nonlinear wave equations, soliton perturbation theory, fluid dynamics, relativity, chaos and dynamical systems.

Author : Robert T. Seeley
Publisher : Courier Corporation
ISBN 13 : 0486151794
Total Pages : 116 pages
Book Rating : 4.93/5 ( download)

DOWNLOAD NOW!

Download or read book An Introduction to Fourier Series and Integrals written by Robert T. Seeley and published by Courier Corporation. This book was released on 2014-02-20 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compact, sophomore-to-senior-level guide, Dr. Seeley's text introduces Fourier series in the way that Joseph Fourier himself used them: as solutions of the heat equation in a disk. Emphasizing the relationship between physics and mathematics, Dr. Seeley focuses on results of greatest significance to modern readers. Starting with a physical problem, Dr. Seeley sets up and analyzes the mathematical modes, establishes the principal properties, and then proceeds to apply these results and methods to new situations. The chapter on Fourier transforms derives analogs of the results obtained for Fourier series, which the author applies to the analysis of a problem of heat conduction. Numerous computational and theoretical problems appear throughout the text.

Author : Wolfgang Arendt
Publisher : Springer Science & Business Media
ISBN 13 : 3034850751
Total Pages : 526 pages
Book Rating : 4.59/5 ( download)

DOWNLOAD NOW!

Download or read book Vector-valued Laplace Transforms and Cauchy Problems written by Wolfgang Arendt and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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>. .

Author : Allan Pinkus
Publisher : Cambridge University Press
ISBN 13 : 9780521597715
Total Pages : 204 pages
Book Rating : 4.14/5 ( download)

DOWNLOAD NOW!

Download or read book Fourier Series and Integral Transforms written by Allan Pinkus and published by Cambridge University Press. This book was released on 1997-07-10 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Textbook covering the basics of Fourier series, Fourier transforms and Laplace transforms.

Author : Dyke
Publisher :
ISBN 13 : 9788181282774
Total Pages : 264 pages
Book Rating : 4.79/5 ( download)

DOWNLOAD NOW!

Download or read book An Introduction To Laplace Transforms And Fourier Series written by Dyke and published by . This book was released on 2005-01-01 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: