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001 978-3-031-34664-4
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020 _a9783031346644
_9978-3-031-34664-4
024 7 _a10.1007/978-3-031-34664-4
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
100 1 _aChowdhury, Sujaul.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_965556
245 1 0 _aNumerical Exploration of Fourier Transform and Fourier Series
_h[electronic resource] :
_bThe Power Spectrum of Driven Damped Oscillators /
_cby Sujaul Chowdhury, Abdullah Al Sakib.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aIX, 107 p. 49 illus., 35 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
505 0 _aExploring 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.
520 _aThis 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.
650 0 _aMathematical physics.
_965557
650 0 _aFourier analysis.
_965558
650 0 _aMathematical analysis.
_964178
650 0 _aMathematics.
_965523
650 0 _aComputer simulation.
_965559
650 1 4 _aMathematical Physics.
_965560
650 2 4 _aFourier Analysis.
_965561
650 2 4 _aAnalysis.
_965562
650 2 4 _aMathematics.
_965523
650 2 4 _aTheoretical, Mathematical and Computational Physics.
_965563
650 2 4 _aComputational Physics and Simulations.
_965564
700 1 _aAl Sakib, Abdullah.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_965565
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031346637
776 0 8 _iPrinted edition:
_z9783031346651
776 0 8 _iPrinted edition:
_z9783031346668
830 0 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
_965566
856 4 0 _uhttps://doi.org/10.1007/978-3-031-34664-4
912 _aZDB-2-SXSC
999 _c56227
_d56227