The Mathematical Experience

Blurb

The Mathematical Experience is a book by Philip J. Davis and Reuben Hersh that discusses the practice of modern mathematics from a historical and philosophical perspective. Its first paperback edition won a U.S. National Book Award in Science.
It is cited by some mathematicians as influential in their decision to continue their studies in graduate school; and has been hailed as a classic of mathematical literature.
The Mathematical Experience attempts to describe being a mathematician, in light of the history and philosophy of mathematics. It focuses on proof, without going full details. It gives examples of some famous proofs, as well as outstanding problems of mathematics; and goes on to speculate on what a proof really means, in relationship to actual truth.
Other topics include mathematics in education and some computer mathematics. [Martin Gardner]] disagreed with some of the authors' philosophical opinions.
A new edition, published in 1998, includes exercises and problems, making the book more suitable for classrooms. There is also The Companion Guide to The Mathematical Experience, Study Edition. Both were co-authored with Elena A. Marchisotto.