Mathematics by Experiment, 2nd Edition: Plausible Reasoning in the 21st Century

This revised and updated second edition maintains the content and spirit of the first edition and includes a new chapter, "Recent Experiences", that provides examples of experimental mathematics that have come to light since the publication of the first edition in 2003. For more examples and insights, Experimentation in Mathematics: Computational Paths to Discovery is a highly recommended companion.

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.