Partial Differential Equations and Applications: A Bridge for Students and Researchers in Applied Sciences
暫譯: 偏微分方程與應用:連結應用科學學生與研究者的橋樑

Yin, Hong-Ming

  • 出版商: Academic Press
  • 出版日期: 2023-06-29
  • 售價: $3,690
  • 貴賓價: 9.5$3,506
  • 語言: 英文
  • 頁數: 330
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0443187053
  • ISBN-13: 9780443187056
  • 相關分類: 工程數學 Engineering-mathematics
  • 海外代購書籍(需單獨結帳)

商品描述

Partial Differential Equations and Applications: A Bridge for Students and Researchers in Applied Sciences offers a unique approach to this key subject by connecting mathematical principles to the latest research advances in select topics. Beginning with very elementary PDEs, such as classical heat equations, wave equations and Laplace equations, the book focuses on concrete examples. It gives students basic skills and techniques to find explicit solutions for partial differential equations. As it progresses, the book covers more advanced topics such as the maximum principle and applications, Green's representation, Schauder theory, finite time blowup and sock waves.

By exploring these topics, students gain necessary tools to deal with research topics in their own fields, whether proceeding in math or engineering areas.

商品描述(中文翻譯)

《偏微分方程及其應用:為應用科學的學生和研究者架起橋樑》提供了一種獨特的方法,將數學原理與特定主題的最新研究進展相連接。書中從非常基本的偏微分方程(如經典的熱方程、波方程和拉普拉斯方程)開始,專注於具體的例子。它為學生提供了基本的技能和技術,以尋找偏微分方程的顯式解。隨著內容的深入,書中涵蓋了更高級的主題,如最大原理及其應用、格林表示法、肖德理論、有限時間爆炸和襪波。

通過探索這些主題,學生獲得了處理自己領域研究主題所需的工具,無論是在數學還是工程領域。

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