Borwein J., Bailey D. Mathematics by Experiment: Plausible Reasoning in the 21st Century

AK Peters, 2003. — 350 p.This new approach to mathematics - the utilization of advanced computing technology in mathematical research - is often called experimental mathematics. The computer provides the mathematician with a "laboratory" in which she can perform experiments - analyzing examples, testing out new ideas, or searching for patterns.This book presents the rationale and historical context of experimental mathematics, and includes a series of examples that best portray the experimental methodology. For more examples and insights, the book, "Experimentation in Mathematics: Computational Paths to Discovery" is a highly recommended companion.