Fourier Transform And Its Applications Using Microsoft Excel R Second Edition
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Fourier Transform and Its Applications Using Microsoft EXCEL(R) (Second Edition)
Author: Shinil Cho
language: en
Publisher: Institute of Physics Publishing
Release Date: 2023-12-28
This new edition updates and greatly expands upon the first, with additional examples and exercises in various application domains as well as a new chapter on Quantum random walks and Fourier analysis.
Fourier Transform and Its Applications Using Microsoft EXCEL®
Author: Shinil Cho
language: en
Publisher: Morgan & Claypool Publishers
Release Date: 2018-10-04
This book demonstrates Microsoft EXCEL-based Fourier transform of selected physics examples. Spectral density of the auto-regression process is also described in relation to Fourier transform. Rather than offering rigorous mathematics, readers will "try and feel" Fourier transform for themselves through the examples. Readers can also acquire and analyze their own data following the step-by-step procedure explained in this book. A hands-on acoustic spectral analysis can be one of the ideal long-term student projects.
Mathematical Methods for Physics using Microsoft EXCEL
In Mathematical Methods for Physics using Microsoft Excel, readers will investigate topics from classical to quantum mechanics, which are often omitted from the course work. Some of these topics include rocket propulsion, Rutherford scattering, precession and nutation of a top under gravity, parametric oscillation, relativistic Doppler effect, concepts of entropy, kinematics of wave packets, and boundary value problems and associated special functions as orthonormal bases. Recent topics such as the Lagrange point of the James Webb Space Telescope, a muon detector in relation to Cherenkov’s radiation, and information entropy and H-function are also discussed and analyzed. Additional interdisciplinary topics, such as self-avoiding random walks for polymer length and population dynamics, are also described. This book will allow readers to reproduce and replicate the data and experiments often found in physics textbooks, with a stronger foundation of knowledge. While investigating these subjects, readers will follow a step-by-step introduction to computational algorithms for solving differential equations for which analytical solutions are often challenging to find. For computational analysis, features of Microsoft Excel® including AutoFill, Iterative Calculation, and Visual Basic for Applications are useful to conduct hands-on projects. For the visualization of computed outcomes, the Chart output feature can be readily used. There are several first-time attempts on various topics introduced in this book such as 3D-like graphics using Euler’s angle and the behavior of wave functions of harmonic oscillators and hydrogen atoms near the true eigenvalues.