Here's a popular text in Information Theory which goes into some detail on data compression and communication channels. Definitely a good one to read through!
For the first meet up, we'll get together and go over the first chapter (an introduction/overview) and then get into the fun stuff! We'll stop after section 2.6 on Jensen's Inequality. We'll work some problems together, and help everyone understand the material before moving on to the rest of the chapter! I'm currently working on the venue, and can likely host it at work.
After 5 or more people comment saying they've read the material, we'll set a date and location!
• Probability theory: (moderate level) Joint distributions and marginalization; conditioning; Bayes' Theorem
• Analysis: (beginner to moderate level) Know what a set is; know what a logarithm is; understand the basic ideas of proofs by induction, contradiction, etc.