Numerical Exploration of Fourier Transform and Fourier Series: The Power Spectrum of Driven Damped Oscillators (1st ed. 2024) (Synthesis Lectures on Mathematics & Statistics)
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- Synopsis
- This book presents practical demonstrations of numerically calculating or obtaining Fourier Transform. In particular, the authors demonstrate how to obtain frequencies that are present in numerical data and utilizes Mathematica to illustrate the calculations. This book also contains numerical solution of differential equation of driven damped oscillator using 4th order Runge-Kutta method. Numerical solutions are compared with analytical solutions, and the behaviors of mechanical system are also depicted by plotting velocity versus displacement rather than displaying displacement as a function of time. This book is useful to physical science and engineering professionals who often need to obtain frequencies present in numerical data using the discrete Fourier transform.This book: Aids readers to numerically calculate or obtain frequencies that are present in numerical dataExplores the use of the discrete Fourier transform and demonstrates practical numerical calculationUtilizes 4th order Runge-Kutta method and Mathematica for the numerical solution of differential equation
- Copyright:
- 2024
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9783031346644
- Related ISBNs:
- 9783031346637
- Publisher:
- Springer Nature Switzerland
- Date of Addition:
- 09/03/23
- Copyrighted By:
- The Editor
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Earth Sciences, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.
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