Results 251 to 260 of about 4,805,496 (293)

Introduction to Fourier Series

2013
We start the book by considering the series \(\mathop {\Sigma }\nolimits _{n=1}^\infty {\mathrm{sin}(n x) \over n},\) a nice example of a Fourier series. This series converges for all real numbers x, but the issue of convergence is delicate. We introduce summation by parts as a tool for handling some conditionally convergent series of this sort.
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Fourier series and Fourier transforms

2013
Some of the most versatile mathematical functions are the trigonometric functions sine and cosine. As a result, it is often very helpful to express a general function as a linear combination of these functions and then to carry out manipulations on the resulting series.
Peter Atkins, Julio de Paula, Ronald Friedman   +2 more
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Fourier Series and Fourier Transforms

2003
In Chapter 3, we touched upon the analogy between the diffraction of x-rays and that of visible light. Here, we extend that discussion and consider some aspects of Fourier series and Fourier transforms.
Mark Ladd, Rex Palmer
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The Fourier Series and Fourier Transform

2020
We encountered the Fourier series in passing in Chap. 5. Then it was just to illustrate the importance of sine waves as a fundamental waveform from which more complex ones such as a square wave could be constructed by adding them with different frequencies and amplitudes.
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Fourier Series and the Fourier Transform

2016
This chapter is entirely devoted to Fourier series and Fourier transforms, given their place and role in analysis, in mathematics, and in applications, especially in physics and engineering.
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Fourier Series

1977
M. H. Protter, C. B. Morrey
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Fourier Series and Fourier Transform

1998
In this chapter we look at some of the eigenfunction expansions in terms of Fourier series. We develop the Fourier transform and use it to solve the heat equation again. We also give a brief treatment of the discrete Fourier transform (DFT) and the fast Fourier transform (FFT).
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Summation of Fourier Series

Journal of Applied Physics, 1953
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Fractional Fourier series expansion for finite signals and dual extension to discrete-time fractional Fourier transform

IEEE Transactions on Signal Processing, 1999
Soo-Chang Pei, Min-Hung Yeh
exaly  

Application of the fast Fourier transform to computation of Fourier integrals, Fourier series, and convolution integrals

IEEE Transactions on Audio and Electroacoustics, 1967
J Cooley
exaly