If one tries to read some historical developments behind Brownian motion, there is no dearth of material on the web. There are also entire books written that trace the events that lead to Brownian motion and how it was used in various domains. However for the Poisson process, there is a paucity of literature that traces the history. I stumbled on to a note by David Strirzaker that recounts the history behind Poisson processes.

Via Maya R. Gupta A summary of bare minimum measure theory stuff one must know, to get going on probability applications.

The author in his preface says that the book is targeted not towards the 1 reader in 100 who will go on to specialize in statistical analysis, but for the other 99 who will only obtain an overview of the subject, yet will have to deal in their professional lives with the design, analysis and interpretation of research by interfacing with specialists in the field. Indeed by the end of the book, a reader can walk away with a decent intuition of the multivariate statistical techniques.

[youtube https://www.youtube.com/watch?v=HIudxeqFuz8?rel=0]

I compute, therefore I understand - Judea Pearl [youtube https://www.youtube.com/watch?v=78EmmdfOcI8?rel=0]