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"Disquisitiones Arithmeticae" by Carl Friedrich Gauss—available in English or the original Latin.

"Gödel, Escher, Bach: An Eternal Golden Braid" by Douglas Hofstadter

Two books I would recommend are:

"Five Golden Rules: Great Theories of 29-th Century Mathematics - and Why They Matter" by John L. Casti (1996). Good writing on key theorems.

"Mathematics and the Imagination" by Eward Kasner and James Newman (1940). Fun math examples and discussion. Written just before World War II and so has a interesting, period perspective; makes fun of Hitler and Mussolini in one instance, also discusses problems that have since been proven (Fermat's Last Theorem).

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Answers by Expert:

I can answer all questions up to, and including, graduate level mathematics. I am more likely to prefer questions beyond the level of calculus. I can answer any questions, from basic elementary number theory like how to prove the first three digits of powers of 2 repeat (they do, with period 100, starting at 8), all the way to advanced mathematics like proving Egorov's theorem or finding phase transitions in random networks.

I am a PhD educated mathematician working in research at a major university.**Organizations**

AMS**Publications**

Various research journals of mathematics. Various talks & presentations (some short, some long), about either interesting classical material or about research work.**Education/Credentials**

BA mathematics & physics, PhD mathematics from a top 20 US school.**Awards and Honors**

Various honors related to grades, various fellowships & scholarships, awards for contributions to mathematics and education at my schools, etc.**Past/Present Clients**

In the past, and as my career progresses, I have worked and continue to work as an educator and mentor to students of varying age levels, skill levels, and educational levels.