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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書目名稱An Introduction to Laplace Transforms and Fourier Series影響因子(影響力)




書目名稱An Introduction to Laplace Transforms and Fourier Series影響因子(影響力)學科排名




書目名稱An Introduction to Laplace Transforms and Fourier Series網絡公開度




書目名稱An Introduction to Laplace Transforms and Fourier Series網絡公開度學科排名




書目名稱An Introduction to Laplace Transforms and Fourier Series被引頻次




書目名稱An Introduction to Laplace Transforms and Fourier Series被引頻次學科排名




書目名稱An Introduction to Laplace Transforms and Fourier Series年度引用




書目名稱An Introduction to Laplace Transforms and Fourier Series年度引用學科排名




書目名稱An Introduction to Laplace Transforms and Fourier Series讀者反饋




書目名稱An Introduction to Laplace Transforms and Fourier Series讀者反饋學科排名

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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

歪曲道理

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.

Irritate

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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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.

inquisitive

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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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

INERT

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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