Ordinary Differential Equations with Applications

Chicone, Carmen

Ordinary Differential Equations with Applications
  • 出版商: Springer
  • 出版日期: 2024-05-20
  • 售價: $3,290
  • 貴賓價: 9.5 折 $3,126
  • 語言: 英文
  • 頁數: 729
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031516516
  • ISBN-13: 9783031516511

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相關主題

商品描述

This book is developed primarily from the author's 20 years of teaching the course at his own university. It addresses both theory and applications, interweaving application with theory throughout the text. The author links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and even abstract algebra. The revised edition includes considerable new material; the impressive array of exercises has been more than doubled in size and enhanced in scope.

商品描述(中文翻譯)

這本書主要是根據作者在自己的大學教授該課程的20年經驗而開發的。它涵蓋了理論和應用，並在整個文本中將應用與理論交織在一起。作者將常微分方程與高級數學主題（如微分幾何、李群理論、無窮維空間中的分析甚至抽象代數）相關聯。修訂版包含了大量的新材料；令人印象深刻的練習題數量增加了一倍以上，並且在範圍上進行了擴充。

作者簡介

Carmen Chicone is an emeritus professor of mathematics at the University of Missouri. He has authored two books, coauthored a third, and published over 100 research articles. His recent research interests are in the qualitative theory of ordinary and partial differential equations, applications of differential equations to mathematical models in science and engineering, and the development of numerical methods to obtain viable predictions from physically realistic model problems.

作者簡介(中文翻譯)

Carmen Chicone是密蘇里大學的名譽數學教授。他撰寫了兩本書，共同撰寫了第三本書，並發表了100多篇研究論文。他最近的研究興趣包括普通和偏微分方程的定性理論，將微分方程應用於科學和工程中的數學模型，以及開發數值方法從物理上合理的模型問題中獲得可行的預測。

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