Q:Is there a set of some comprehensive surveys or monographs describing (in technical detail) the historical development of the various subareas of analysis and partial differential equations?

I'm especially (but *not only*) interested in expositions of the most recent ($20^{\text{th}}$ century onwards) developments.

For instance, I already know the following works:

*History of Functional Analysis*, by J. Dieudonné;*Partial Differential Equations in the 20th Century*, by H. Brezis and F. Browder;*A History of Analysis*, edited by H. N. Jahnke.

A slight variation on the theme of this question is:

Q':Which "texbooks"/monographs (dealing with subareas of analysis and PDE) strongly embrace an historical point of view?

For example, I've some good memories of the following book (which deals with topics in basic calculus):

*Analysis by Its History*by E. Hairer and G. Wanner.

A quite related question is *Motivation for and history of pseudo-differential operators*.

`[big-list]`

indeed) because I'm very curious to learn more about thegeneral historicaldevelopment of these field. However, if it can be useful, now I'm personally most interested in functional analysis and PDE; especially variational methods and nonlinear elliptic problems. $\endgroup$ – user81051 Oct 6 '15 at 18:06