Most of math books require you to copy proofs and do excersices to extract the content from them. Are there any good serious math books which require only reading and no writing?
ADDED: One possibility is a book that puts emphasis on intuition and thus puts a familiar subject in a different light without requiring anything but reading.
You might try reading some papers in the philosophy of math. They don't require you to do any computations or exercises. I am interested in the philosophy of probability, so the first thing that comes to mind is this paper. The author, Alan Hájek, has many other good papers worth reading.
If you want something longer, a classic book is Proofs and Refutations by Lakatos.