Numerical Exploration of Fourier Transform and Fourier Series: The Power Spectrum of Driven Damped Oscillators
暫譯: 傅立葉變換與傅立葉級數的數值探索：驅動阻尼振盪器的功率譜

Chowdhury, Sujaul, Al Sakib, Abdullah

Numerical Exploration of Fourier Transform and Fourier Series: The Power Spectrum of Driven Damped Oscillators
  • 出版商: Springer
  • 出版日期: 2024-08-03
  • 售價: $1,860
  • 貴賓價: 9.5 折 $1,767
  • 語言: 英文
  • 頁數: 107
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031346661
  • ISBN-13: 9783031346668

    • 海外代購書籍(需單獨結帳)

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商品描述

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

商品描述(中文翻譯)

這本書提供了數值計算或獲取傅立葉變換的實用示範。特別是，作者展示了如何從數值數據中獲取存在的頻率，並利用 Mathematica 來說明計算過程。本書還包含了使用四階龍格-庫塔法（4th order Runge-Kutta method）解驅動阻尼振盪器的微分方程的數值解。數值解與解析解進行比較，並通過繪製速度與位移的關係來描繪機械系統的行為，而不是顯示位移隨時間的變化。本書對於物理科學和工程專業人士非常有用，因為他們經常需要使用離散傅立葉變換來獲取數值數據中存在的頻率。

本書：
- 幫助讀者數值計算或獲取數值數據中存在的頻率
- 探索離散傅立葉變換的使用並展示實用的數值計算
- 利用四階龍格-庫塔法和 Mathematica 進行微分方程的數值解

作者簡介

Sujaul Chowdhury, Ph.D., is a Professor in Department of Physics at Shahjalal University of Science and Technology. He also received his B.Sc. and M.Sc. in Physics from Shahjalal University of Science and Technology, before earning his Ph.D. at The University of Glasgow. After completing his Ph.D., Dr. Chowdhury was a Humboldt Research Fellow for one year at The Max Planck Institute. He is the author of many books, including Monte Carlo Methods: A Hands-On Computational Introduction Utilizing Excel and Monte Carlo Methods Utilizing Mathematica(R) Applications in Inverse Transform and Acceptance-Rejection Sampling, which are also in the Synthesis Lectures on Mathematics & Statistics series published by Springer Nature. His research interests include nanoelectronics, magnetotransport in semiconductor nanostructures, and nanostructure physics.

Abdullah Al Sakib is an M.S. student in the Department of Physics at Shahjalal University of Science and Technology.

作者簡介(中文翻譯)

Sujaul Chowdhury 博士是沙賈拉大學物理系的教授。他在沙賈拉大學獲得了物理學的學士和碩士學位，之後在格拉斯哥大學獲得博士學位。完成博士學位後，Chowdhury 博士在馬克斯·普朗克研究所擔任了一年的洪堡研究員。他是多本書籍的作者，包括《Monte Carlo Methods: A Hands-On Computational Introduction Utilizing Excel》和《Monte Carlo Methods Utilizing Mathematica(R) Applications in Inverse Transform and Acceptance-Rejection Sampling》，這些書籍也收錄在施普林格自然出版的數學與統計合成講座系列中。他的研究興趣包括奈米電子學、半導體奈米結構中的磁輸運以及奈米結構物理學。

Abdullah Al Sakib 是沙賈拉大學物理系的碩士生。

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