03662nam a22005895i 4500 978-3-031-34664-4 DE-He213 20251030110810.0 cr nn 008mamaa 230801s2024 sz | s |||| 0|eng d 9783031346644 978-3-031-34664-4 10.1007/978-3-031-34664-4 doi QC19.2-20.85 PHU bicssc SCI040000 bisacsh PHU thema Chowdhury, Sujaul. author. aut http://id.loc.gov/vocabulary/relators/aut 65556 Numerical Exploration of Fourier Transform and Fourier Series [electronic resource] : The Power Spectrum of Driven Damped Oscillators / by Sujaul Chowdhury, Abdullah Al Sakib. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. IX, 107 p. 49 illus., 35 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Synthesis Lectures on Mathematics & Statistics, 1938-1751 Exploring Fourier Transform and Fourier Series Approximation Numerically -- Motion and Power Spectrum of Driven Damped Oscillators, Analytical and Numerical Accounts -- Motion of Driven Damped Oscillators in Phase Space. References. 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 data Explores the use of the discrete Fourier transform and demonstrates practical numerical calculation Utilizes 4th order Runge-Kutta method and Mathematica for the numerical solution of differential equation. Mathematical physics. 65557 Fourier analysis. 65558 Mathematical analysis. 64178 Mathematics. 65523 Computer simulation. 65559 Mathematical Physics. 65560 Fourier Analysis. 65561 Analysis. 65562 Mathematics. 65523 Theoretical, Mathematical and Computational Physics. 65563 Computational Physics and Simulations. 65564 Al Sakib, Abdullah. author. aut http://id.loc.gov/vocabulary/relators/aut 65565 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031346637 Printed edition: 9783031346651 Printed edition: 9783031346668 Synthesis Lectures on Mathematics & Statistics, 1938-1751 65566 https://doi.org/10.1007/978-3-031-34664-4 ZDB-2-SXSC 56227 56227