ENGLISH

An Introduction to Laplace Transforms and Fourier Series

By P.P.G. Dyke

Book information

Publisher
Springer
Year
2014
ISBN
978-1-4471-6394-7, 978-1-4471-6395-4
DOI
10.1007/978-1-4471-6395-4
Language
english
Format
PDF
Filesize
4 MB (4538806 bytes)
Series
Springer Undergraduate Mathematics Series
Edition
2
Pages
318\325
Orientation
portrait
Paginated
yes
Scanned
no
Time added
2014-04-13 05:00:00
Integral TransformsOperational Calculus; Fourier Analysis; Functions

Description

Laplace transforms continue to be a very important tool for the engineer, physicist and applied mathematician. They are also now useful to financial, economic and biological modellers as these disciplines become more quantitative. Any problem that has underlying linearity and with solution based on initial values can be expressed as an appropriate differential equation and hence be solved using Laplace transforms. 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.

Similar books