‘The Fractalist,’ Benoit B. Mandelbrot’s Math Memoir
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http://www.amazon.com/Alfred-Tarski-Cambridge-Concise-Histor...
"Georg Cantor" by Joseph Dauben is dense but interesting; it is closer to a mathematical treatment of Cantor's works than a biographical one. Some experience with the basics of analysis would be beneficial, but a surprising amount is developed throughout the book.
http://www.amazon.com/Mathematics-Touchstone-Books-E-T-Bell/...
[!] Truesdell, C. (1984). An idiot's fugitive essays on science: methods, criticism, training, circumstances. Berlin: Springer-Verlag. ISBN 0-387-90703-3. "Genius and the establishment at a polite standstill in the modern university: Bateman", pages 423 to 424
William Poundstone's Prisoner's Dilemma is only partly a biography of von Neumann, still a good book. Gian-Carlo Rota's Indiscrete Thoughts is a mash of bits and pieces, largely about mathematical culture and personalities. I thought it was an interesting read.
What I would really like would be a serious tome on Claude Shannon, he plays a bit part in many, many books, but nobody seem to have written specifically about him and his work.
A poignant examination of the mathematician Paul Erdős, and his notion of The Book, "an imaginary book in which God had written down the best and most elegant proofs for mathematical theorems."
* Paul R. Halmos's "I Want to Be a Mathematician... an automathography: http://www.amazon.com/Want-Be-Mathematician-Automathography-...
* Frederick Mosteller's "The Pleasures of Statistics: The Autobiography of Frederick Mosteller": http://www.amazon.com/Pleasures-Statistics-Autobiography-Fre...