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An Introduction to Laplace Transforms and Fourier Series / by Phil Dyke.
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2014 English International Available online
View online- Format:
- Book
- Author/Creator:
- Dyke, P. (Phil), Author.
- Series:
- Springer Undergraduate Mathematics Series, 1615-2085
- Language:
- English
- Subjects (All):
- Integral transforms.
- Calculus, Operational.
- Fourier analysis.
- Functions of complex variables.
- Applied mathematics.
- Engineering mathematics.
- Physics.
- Integral Transforms, Operational Calculus.
- Fourier Analysis.
- Functions of a Complex Variable.
- Mathematical and Computational Engineering.
- Mathematical Methods in Physics.
- Local Subjects:
- Integral Transforms, Operational Calculus.
- Fourier Analysis.
- Functions of a Complex Variable.
- Mathematical and Computational Engineering.
- Mathematical Methods in Physics.
- Physical Description:
- 1 online resource (XV, 318 p. 66 illus., 10 illus. in color.) online resource.
- Edition:
- 2nd ed. 2014.
- Place of Publication:
- London : Springer London : Imprint: Springer, 2014.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- The Laplace Transform
- Further Properties of the Laplace Transform
- Convolution and the Solution of Ordinary Differential Equations
- Fourier Series
- Partial Differential Equations
- Fourier Transforms
- Wavelets and Signal Processing
- Complex Variables and Laplace Transforms.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 1-4471-6395-8
- OCLC:
- 876738439
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