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Titlebook: An Introduction to Laplace Transforms and Fourier Series; Phil Dyke Textbook 2014Latest edition Springer-Verlag London Ltd., part of Sprin

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發(fā)表于 2025-3-21 18:04:27 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱An Introduction to Laplace Transforms and Fourier Series
影響因子2023Phil Dyke
視頻videohttp://file.papertrans.cn/156/155307/155307.mp4
發(fā)行地址Provides an easy-to-read account of fourier series, wavelets and laplace transforms.Contains many examples.Provides solutions to all exercises.Includes supplementary material:
學(xué)科分類Springer Undergraduate Mathematics Series
圖書封面Titlebook: An Introduction to Laplace Transforms and Fourier Series;  Phil Dyke Textbook 2014Latest edition Springer-Verlag London Ltd., part of Sprin
影響因子.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..
Pindex Textbook 2014Latest edition
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沙發(fā)
發(fā)表于 2025-3-21 22:37:06 | 只看該作者
Convolution and the Solution of Ordinary Differential Equations,in Sect.?.. The other central and probably new idea is that of the convolution integral and this is introduced fully in Sect.?.. Of course it is possible to solve some kinds of differential equation without using convolution as is obvious from the last chapter, but mastery of the convolution theorem
板凳
發(fā)表于 2025-3-22 02:31:23 | 只看該作者
Fourier Series, inner product space and that trigonometric functions are an example of one. It is the properties of the inner product space, coupled with the analytically familiar properties of the sine and cosine functions that give Fourier series their usefulness and power.
地板
發(fā)表于 2025-3-22 08:24:33 | 只看該作者
Partial Differential Equations,troduced, and the important property that any reasonable function can be expressed as a Fourier series derived. In this chapter, these ideas are brought together, and the solution of certain types of partial differential equation using both Laplace transforms and Fourier series are explored. The stu
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發(fā)表于 2025-3-22 12:37:51 | 只看該作者
Wavelets and Signal Processing,taken to the next step, the idea being to use the power of transforming from time to frequency in order to analyse what are in effect complicated functions of time called time series. We shall only give an introduction to signal processing as there are very large tomes devoted to the subject.
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發(fā)表于 2025-3-22 16:31:34 | 只看該作者
Complex Variables and Laplace Transforms,e assume that defining . where ., and where . and . are independent variables is not totally mysterious. In Laplace transforms, . can fruitfully be thought of as a complex variable. Indeed parts of this book (Sect.?. for example) have already strayed into this territory.
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發(fā)表于 2025-3-22 17:26:14 | 只看該作者
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發(fā)表于 2025-3-23 00:18:40 | 只看該作者
1615-2085 es.Includes supplementary material: .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 wavel
9#
發(fā)表于 2025-3-23 04:11:07 | 只看該作者
Berechnung des Energieverbrauchesble to solve some kinds of differential equation without using convolution as is obvious from the last chapter, but mastery of the convolution theorem greatly extends the power of Laplace transforms to solve ODEs.
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發(fā)表于 2025-3-23 06:38:21 | 只看該作者
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