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Oct 1, 2023 at 1:23 comment added Gerald Edgar For such historical information, perhaps try W. Feller, An Introduction to Probability Theory and Its Applications, Vol. 1
Sep 30, 2023 at 16:02 comment converted from answer polykleitos I do not have enough reputation to comment, but the book generatingfunctionology by Herbert Wilf is well written, fun to read, and connects the gap "between discrete mathematics and ... continuous analysis." While the author does not attempt to give a comprehensive overview of the subject, I found value in reading about Wilf's approach to the seemingly ever-applicable world of generating functions.
Feb 14, 2016 at 20:58 vote accept bzm3r
Feb 14, 2016 at 14:47 answer added Alexandre Eremenko timeline score: 11
Feb 14, 2016 at 3:14 history asked bzm3r CC BY-SA 3.0