面向科学家和工程师的偏微分方程
Partial differential equations for scientists and engineers
Stanley J. Farlow · 初版 1982 年
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Partial differential equations for scientists and engineers
Stanley J. Farlow · 初版 1982 年
正在加载完整评论……
入门的话我推荐 Stanley Farlow 的《Partial Differential Equations for Scientists and Engineers》。这是一本 Dover 出版的书，所以很便宜。你可以把这本书看作是对大量 PDE（偏微分方程）相关课题的简明入门合集，其中很多都有实际应用……
Stanley Farlow's "Partial Differential Equations for Scientists and Engineers" would be my suggestion for an introduction. It's a Dover book, so it's cheap. Look at the book as a set of simple introductions to a large number of PDE related topics, many of which have applications…
顺便提一句，我推荐 Stanley J. Farlow 的《Partial Differential Equations for Scientists and Engineers》，我是 2004 年左右买的，当时是为了更好地理解一篇我正尝试实现的流体模拟论文。（我的数学课只学到了线性代数和 ODE）。读起来非常棒，里面有很多很好的物理示例。
On a related note, I can recommend Stanley J. Farlow's "Partial Differential Equations for Scientists and Engineers", which I bought around 2004 to better understand a fluid simulation paper I was trying to implement. (My Maths course ended with linear algebra and ODEs). Very good read with nice physics examples.
Stanley Farlow 的《Partial Differential Equations for Scientists and Engineers》是一本极佳的偏微分方程入门书。那本书对我 19 岁时的水平来说刚刚好，让我对广义微分方程领域的各种知识有了初步认识。
Stanley Farlow's "Partial Differential Equations for Scientists and Engineers" is a great introduction to partial differential equations. That book was at exactly the right level for me when I was 19 to be introduced to a wide variety of things in differential equations in general.
……原始的非线性方程，而这反过来又可以应用数值方法。维基百科有一篇很好的介绍：https://en.wikipedia.org/wiki/Perturbation_theory 摘自一个非常权威的来源：“Partial Differential Equations for Scientists and Engineers, Stanley J. Farnow, 1993, Dover”。纯数学家往往倾向于反对过早引入近似和计算方法，但完全没理由不能把它们与……
…original nonlinear equation, and to which in turn numerical methods can be applied. Wikipedia has a good writeup: https://en.wikipedia.org/wiki/Perturbation_theory Quotes from a very good source: "Partial Differential Equations for Scientists and Engineers, Stanley J. Farnow, 1993, Dover" Pure mathematicians tend to oppose the introduction of approximate and computational methods early on, but there's no reason they can't be taught side-by-side with the…