Applying Power Series to Differential Equations: An Exploration Through Questions and Projects

Sochacki, James, Tongen, Anthony

Applying Power Series to Differential Equations: An Exploration Through Questions and Projects
  • 出版商: Springer
  • 出版日期: 2023-03-16
  • 售價: $2,610
  • 貴賓價: 9.5 折 $2,480
  • 語言: 英文
  • 頁數: 217
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031245865
  • ISBN-13: 9783031245862
  • 相關分類: 數值分析 Numerical-analysis

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商品描述

This book is aimed to undergraduate STEM majors and to researchers using ordinary differential equations. It covers a wide range of STEM-oriented differential equation problems that can be solved using computational power series methods. Many examples are illustrated with figures and each chapter ends with discovery/research questions most of which are accessible to undergraduate students, and almost all of which may be extended to graduate level research. Methodologies implemented may also be useful for researchers to solve their differential equations analytically or numerically. The textbook can be used as supplementary for undergraduate coursework, graduate research, and for independent study.

商品描述(中文翻譯)

這本書的目標讀者是STEM專業的大學生和使用常微分方程的研究人員。它涵蓋了一系列可以使用計算能力級數方法解決的STEM導向的微分方程問題。許多例子都有圖示，每章結束時都有發現/研究問題，其中大部分對大學生來說是可接觸的，幾乎所有問題都可以擴展到研究生水平的研究。所實施的方法也可能對研究人員解析或數值求解微分方程有用。這本教科書可以作為大學課程的補充教材，研究生研究和獨立學習的資源。

作者簡介

​James Sochacki is a Professor Emeritus and Director of the Center for Computational Mathematics and Modeling at James Madison University, USA. Dr. Sochacki holds a PhD in Applied Mathematics (1985) and a Master´s degree (1981) from the University of Wyoming, USA. His research interests lie in initial value ordinary and partial differential equations.
Anthony Tongen is a Professor and Vice Provost, Office of Research and Scholarship, at James Madison University, USA. Dr. Tongen holds a PhD in Applied Mathematics (2002) from Northwestern University, USA. His research focuses on mathematical biology, numerical analysis, dynamical systems, and game theory.

作者簡介(中文翻譯)

James Sochacki是美國James Madison大學計算數學和建模中心的名譽教授和主任。Sochacki博士於1985年獲得應用數學博士學位，並於1981年獲得Wyoming大學的碩士學位。他的研究興趣在於初值常微分方程和偏微分方程。

Anthony Tongen是美國James Madison大學研究和學術事務副校長。Tongen博士於2002年獲得Northwestern大學的應用數學博士學位。他的研究專注於數學生物學、數值分析、動力系統和博弈論。

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