An Introduction to Partial Differential Equations

Arrigo, Daniel

An Introduction to Partial Differential Equations
  • 出版商: Springer
  • 出版日期: 2024-01-21
  • 售價: $2,010
  • 貴賓價: 9.5 折 $1,910
  • 語言: 英文
  • 頁數: 204
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031220897
  • ISBN-13: 9783031220890

    • 海外代購書籍(需單獨結帳)

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商品描述

This textbook is an introduction to the methods needed to solve partial differential equations (PDEs). Readers are introduced to PDEs that come from a variety of fields in engineering and the natural sciences. The chapters include the following topics: First Order PDEs, Second Order PDEs, Fourier Series, Separation of Variables, the Fourier Transform, and higher dimensional problems. Readers are guided through these chapters where techniques for solving first and second order PDEs are introduced. Each chapter ends with series of exercises to facilitate learning as well as illustrate the material presented in each chapter.


商品描述(中文翻譯)

這本教科書是解決偏微分方程（PDEs）所需方法的入門介紹。讀者將接觸到來自工程和自然科學各個領域的偏微分方程。各章節包括以下主題：一階偏微分方程、二階偏微分方程、傅立葉級數、變數分離、傅立葉變換以及高維問題。讀者將在這些章節中學習解決一階和二階偏微分方程的技術。每章結尾都有一系列練習題，以促進學習並說明每章所呈現的內容。

作者簡介

Daniel Arrigo earned his PhD from the Georgia Institute of Technology in 1991. He has been on staff in the Department of Mathematics at the University of Central Arkansas since 1999 and is currently Professor of Mathematics. He has published over 30 journal articles and three books. His research interests include the construction of exact solutions of PDEs; symmetry analysis of nonlinear PDEs; and solutions to physically important equations, such as nonlinear heat equations and governing equations modeling of granular materials and nonlinear elasticity. In 2008, Dr. Arrigo received the Oklahoma-Arkansas Section of the Mathematical Association of America's Award for Distinguished Teaching of College or University Mathematics and in 2019 the University of Central Arkansas's Teaching Excellence Award.

作者簡介(中文翻譯)

丹尼爾·阿里戈（Daniel Arrigo）於1991年在喬治亞理工學院獲得博士學位。自1999年以來，他一直在中央阿肯色大學數學系任職，目前擔任數學教授。他已發表超過30篇期刊文章和三本書籍。他的研究興趣包括偏微分方程（PDEs）精確解的構造；非線性偏微分方程的對稱分析；以及物理上重要方程的解，例如非線性熱方程和描述顆粒材料及非線性彈性的控制方程。2008年，阿里戈博士獲得美國數學協會奧克拉荷馬-阿肯色分會頒發的優秀大學數學教學獎，並於2019年獲得中央阿肯色大學的教學卓越獎。

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