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Feb 26 at 15:07 comment added Mikhail Katz @SamHopkins, The chapter that's relevant is chapter 2 of Herzberg's book. Here a Poisson walk is defined on pages 14-15. The rest of the book is somewhat more advanced.
Feb 26 at 14:54 comment added Sam Hopkins Do these textbooks really cover the material of a course like the one the OP had in mind? "An introductory probability course that assumes the students have had first-year calculus and understand mathematical reasoning." I'm pretty skeptical of that...
Feb 25 at 9:22 history edited Mikhail Katz CC BY-SA 4.0
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S Feb 22 at 21:01 history mod moved comments to chat
S Feb 22 at 21:01 comment added Todd Trimble Comments have been moved to chat; please do not continue the discussion here. Before posting a comment below this one, please review the purposes of comments. Comments that do not request clarification or suggest improvements usually belong as an answer, on MathOverflow Meta, or in MathOverflow Chat. Comments continuing discussion may be removed.
Feb 20 at 14:13 history edited Mikhail Katz CC BY-SA 4.0
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Feb 19 at 11:18 comment added Mikhail Katz Nelson, Edward. Radically elementary probability theory. Annals of Mathematics Studies, 117. Princeton University Press, Princeton, NJ, 1987. x+98 pp. @HollisWilliams
Feb 19 at 11:17 comment added Hollis Williams Could you provide some more references and details?
Feb 19 at 10:43 history answered Mikhail Katz CC BY-SA 4.0