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140407 ||| eng |
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|a 9781447163954
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|a Dyke, Phil
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| 245 |
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|a An Introduction to Laplace Transforms and Fourier Series
|h Elektronische Ressource
|c by Phil Dyke
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| 250 |
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|a 2nd ed. 2014
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| 260 |
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|a London
|b Springer London
|c 2014, 2014
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| 300 |
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|a XV, 318 p. 66 illus., 10 illus. in color
|b online resource
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| 505 |
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|a 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
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| 653 |
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|a Engineering mathematics
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| 653 |
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|a Functions of complex variables
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| 653 |
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|a Mathematical analysis
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| 653 |
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|a Fourier Analysis
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| 653 |
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|a Integral Transforms and Operational Calculus
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| 653 |
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|a Functions of a Complex Variable
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| 653 |
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|a Mathematical physics
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| 653 |
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|a Engineering / Data processing
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| 653 |
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|a Mathematical and Computational Engineering Applications
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| 653 |
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|a Mathematical Methods in Physics
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| 653 |
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|a Fourier analysis
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
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|a Springer Undergraduate Mathematics Series
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| 028 |
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|a 10.1007/978-1-4471-6395-4
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| 856 |
4 |
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|u https://doi.org/10.1007/978-1-4471-6395-4?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 515.72
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| 520 |
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|a 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 disciplinesuch as financial mathematics, econometrics and biological modelling requiring techniques for solving initial value problems
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