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This book covers essential Microsoft EXCEL (R)'s computational
skills while analyzing introductory physics projects. Topics of
numerical analysis include; multiple graphs on the same sheet,
calculation of descriptive statistical parameters, a 3-point
interpolation, the Euler and the Runge-Kutter methods to solve
equations of motion, the Fourier transform to calculate the normal
modes of a double pendulum, matrix calculations to solve coupled
linear equations of a DC circuit, animation of waves and Lissajous
figures, electric and magnetic field calculations from the Poisson
equation and its 3D surface graphs, variational calculus such as
Fermat's least traveling time principle and the least action
principle. Nelson's stochastic quantum dynamics is also introduced
to draw quantum particle trajectories.
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.
This book covers essential Microsoft EXCEL (R)'s computational
skills while analyzing introductory physics projects. Topics of
numerical analysis include; multiple graphs on the same sheet,
calculation of descriptive statistical parameters, a 3-point
interpolation, the Euler and the Runge-Kutter methods to solve
equations of motion, the Fourier transform to calculate the normal
modes of a double pendulum, matrix calculations to solve coupled
linear equations of a DC circuit, animation of waves and Lissajous
figures, electric and magnetic field calculations from the Poisson
equation and its 3D surface graphs, variational calculus such as
Fermat's least traveling time principle and the least action
principle. Nelson's stochastic quantum dynamics is also introduced
to draw quantum particle trajectories.
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.
This book demonstrates Microsoft EXCEL(R)-based Fourier transform
of selected physics examples, as well as describing spectral
density of the auto-regression process in relation to Fourier
transform. Rather than offering rigorous mathematics, the book
provides readers with an opportunity to gain an understanding of
Fourier transform through the examples. They will acquire and
analyze their own data following the step-by-step procedure
outlined, and a hands-on acoustic spectral analysis is suggested as
the ideal long-term student project.
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