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Benthien, George

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Description: Retired mathematician with a PhD in mathematics from Carnegie-Mellon University. Page contains tutorials on numerical linear algebra, harmonic analysis, digital encoding, symmetry reductions, and modeling of sonar transducers and arrays.
Numerical Mathematics Tutorials This website contains tutorials on several topics in mathematics and numerical analysis as well as a number of other papers on various subjects. The tutorials cover harmonic analysis, numerical linear algebra, digital signal encoding, symmetry reductions and the modeling of Sonar transducers and arrays. There are also a number of papers on acoustics, particularly the acoustic radiation and scattering from arbitrary shaped bodies and the acoustic interaction of Sonar transducers in an array. In a slightly different vein you will find biographies of the famous mathematician Leonhard Euler and the great physicist James Clerk Maxwell. These biographies describe their life, their major contributions to science, and also their strong Christian faith. Another area that I have been interested in is the Biblical story of creation described in the first chapter of Genesis. I have written a paper that discuses various interpretations of the creation days in Genesis 1. Recently I started reading ebooks on a Kindle and became interested in how they are formatted. As a result I have written a tutorial on how to format an ebook for the Kindle using HTML, CSS, and the Kindlegen program. I hope these papers will be of interest to you and will prove to be useful.
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Page title:Numerical Mathematics Tutorials
Keywords:numerical analysis, harmonic analysis, Fourier series, Fourier integrals, FFT, Chebyshev polynomials, Lanczos Tau method, numerical linear algebra,Gaussian elimination, LU and QR factorizations, QR method, SVD, eigenvalues, eigenvectors, divide-and-conquer, conjugate gradient, Manchester encoding, 4B/5B, NRZ, NRZI, quadrature amplitude modulation, QAM, minimum shift keying, MSK, orthogonal frequency division multiplexing, OFDM, spread spectrum, FHSS, DSSS, Sonar transducer modeling, Helmholtz integral equation, Kirchhoff integral equation, symmetry reductions, creation, creation days, Genesis, six days, Euler, Leonhard Euler, Maxwell, James Clerk Maxwell, Maxwell's equations, electromagnetics, electricity, magnetism, calculus, electromagnetic waves
Description:Website contains tutorials by Dr. George Benthien on harmonic analysis, numerical linear algebra, digital encoding methods, symmetry reductions, and the modeling of Sonar transducers and arrays. Dr. Benthien has more than 40 years experience in mathematical modeling. His main areas of expertise are in acoustics, electromagnetics, and numerical analysis
IP-address:74.220.202.25

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Creation Date: 29-oct-2007
Expiration Date: 29-oct-2014