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Experimental mathematics as a book category covers work that uses computation, visualization, and data-driven investigation as central tools for discovering, testing, and illustrating mathematical ideas. Such books emphasize numerical experiments, computer algebra, algorithm design, and graphical exploration to form conjectures, gain intuition, find counterexamples, and suggest or support proofs, rather than relying solely on traditional deductive exposition. They range from practical how‑to guides for using software (e.g., Sage, Mathematica, Python) and collections of computational techniques to case studies and monographs documenting experiments that led to new theorems, as well as accessible introductions that highlight the philosophy and history of experiment-driven discovery. Audiences include researchers, graduate students, and mathematically curious readers who want hands‑on methods for exploration, reproducible workflows, and the interplay between computation and rigorous theory.

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