Like all of Vladimir Arnold's books, this book is full of geometric insight. Arnold illustrates every principle with a figure. This book aims to cover the most basic parts of the subject and confines itself largely to the Cauchy and Neumann problems for the classical linear equations of mathematical physics, especially Laplace's equation and the wave equation, although the heat equation and the Korteweg-de Vries equation are also discussed. Physical intuition is emphasized. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging!
What makes the book unique is Arnold's particular talent at holding a topic up for examination from a new and fresh perspective. He likes to blow away the fog of generality that obscures so much mathematical writing and reveal the essentially simple intuitive ideas underlying the subject. No other mathematical writer does this quite so well as Arnold.
發表於2024-12-23
Lectures on Partial Differential Equations (Universitext) 2024 pdf epub mobi 電子書 下載
圖書標籤: 偏微分方程 數學物理方法 Arnold 數學 想買 微分方程 偏微分方程7 mathematics
作者在成立IUM時期講座的整理,包括Yujil Ilyashenko,和Khovanskii兩位教授的參與,可以視為Arnold school的代錶作。PS:並不易讀。
評分作者在成立IUM時期講座的整理,包括Yujil Ilyashenko,和Khovanskii兩位教授的參與,可以視為Arnold school的代錶作。PS:並不易讀。
評分作者在成立IUM時期講座的整理,包括Yujil Ilyashenko,和Khovanskii兩位教授的參與,可以視為Arnold school的代錶作。PS:並不易讀。
評分作者在成立IUM時期講座的整理,包括Yujil Ilyashenko,和Khovanskii兩位教授的參與,可以視為Arnold school的代錶作。PS:並不易讀。
評分作者在成立IUM時期講座的整理,包括Yujil Ilyashenko,和Khovanskii兩位教授的參與,可以視為Arnold school的代錶作。PS:並不易讀。
Lectures on Partial Differential Equations (Universitext) 2024 pdf epub mobi 電子書 下載