ChatGPT for Math

Mathematical work involves more than proving theorems: it also means testing small cases, shaping explanations, preparing diagrams, organizing references, and wrestling with LaTeX. In ChatGPT for Math, mathematician George Grätzer explores where ChatGPT can help with those tasks—and why its answers still need a mathematician’s scrutiny.

The guiding idea is practical and clear: treat ChatGPT as an assistant, not an oracle. The book offers workflows and examples for using the tool without handing over responsibility for mathematical correctness.

A working companion for mathematical tasks

Four parts move from foundations and verification to core mathematical workflows, writing and research infrastructure, and the limits and future of ChatGPT in mathematics. The organization is modular, so readers can return to chapters relevant to a task at hand after establishing the book’s central principles.

From small experiments to proofs and diagrams

Grätzer considers using ChatGPT to explore small cases, propose examples and counterexamples, assist with computations, critique or reorganize proofs, and produce diagrams. These are treated as candidate contributions to examine and refine—not finished answers to accept without checking.

Support for teaching, writing, and LaTeX

The book also looks beyond mathematical arguments to teaching materials, prompts designed for mathematical work, bibliographies, indexes, consistent notation, exposition, and LaTeX workflows. These applications speak to the many practical tasks that shape research and instruction alongside the mathematics itself.

Keep verification in the workflow

A recurring method is to state the mathematical goal precisely, ask for a structured provisional result, and then test or inspect it independently. That emphasis makes the book as much about sound judgment as about getting useful assistance from an AI tool.

For mathematicians, instructors, students, and mathematical authors curious about using ChatGPT in their work, Grätzer offers a grounded guide to possible uses—and to the limits that matter.