Titlebook: Essentials of Applied Mathematics for Scientists and Engineers; Robert G. Watts Book 2008 Springer Nature Switzerland AG 2008

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Synthesis Lectures on Engineering, Science, and Technologyhttp://image.papertrans.cn/e/image/315593.jpg

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https://doi.org/10.1007/978-94-015-9886-6ons and diffusion are presented along with the details of the inversion method.In this chapter, we present detailed solutions of some boundary value problems using the Laplace transform method. Problems in both mechanical vibrations and diffusion are presented along with the details of the inversion method.

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白楊

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,Sturm–Liouville Transforms,t the beginning of Chapter 6. We first illustrate the idea with a simple example of the Fourier sine transform, which is a special case of a Sturm–Liouville transform. We then move on to the general case and work out some examples.

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Anne S. Lindblad,Joel W. Novak,Karl D. NolphIn this chapter we will work through a few example problems in order to introduce the general idea of . and the concept of orthogonal functions before moving on to a more complete discussion of orthogonal function theory. We will also introduce the concepts of . and ..

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Average Continuous Control of PDMPs,In this chapter we elaborate on the concepts of orthogonality and Fourier series. We begin with the familiar concept of orthogonality of vectors. We then extend the idea to orthogonality of functions and the use of this idea to represent general functions as Fourier series—series of orthogonal functions.

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