Grätzer ChatGPT for Math

1. Auflage 2026
ISBN: 978-3-032-27286-7
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 233 Seiten

Reihe: Mathematics and Statistics

Large Language Models (LLMs) are reshaping how people write, communicate, and conduct research. ChatGPT, one of the most widely used tools in OpenAI’s GPT series, can serve as a practical assistant when used thoughtfully and responsibly.   is a concise, hands-on guide to applying ChatGPT in mathematical work. It shows how to clarify arguments, debug proofs, generate diagrams, support LaTeX workflows, and improve both research writing and teaching materials. The book emphasizes a disciplined approach: ChatGPT is treated as an assistant, not an oracle, and its limitations are addressed openly. Each chapter includes carefully designed exercises to help readers build skill, judgment, and confidence in using ChatGPT effectively.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Grätzer, George

Inhaltsverzeichnis

Preface.- Introduction.- I Foundations.- 1 What can ChatGPT actually do?.- How ChatGPT interacts with Math.- Verification: trust but verify.- II Core Mathematical Workflows.- 4 Mathematical computation and small case experimentation.- 5 Proofs with ChatGPT.- 6 Examples and small structures.- 7 Computations and experiments.- 8 Diagrams beyond lattices.- 9 Teaching with ChatGPT.- 10 Prompt patterns for math.- 11 Bibliographies.- 12 Index.- 13 Notation and terminological consistency.- 14 AI-assisted research.- 15 Explaining math.- 16 LaTeX, diagrams, and writing.- III Limits and outlook.- 17 Limits of ChatGPT for Mathematics.- 18 Reflections and future directions.- A. Prompt Patterns for Mathematics.

Über Autor(innen)

George Grätzer is a distinguished Professor Emeritus at the University of Manitoba. He has authored three other books on LaTex:  and and was chosen by the Mathematics Editor of Amazon.com as one of the ten best books of 2000. Grätzer has also written over 300 articles articles and more than 300 books on the subject of lattices and universal algebra. In addition, Grätzer is the founder of the international mathematical journal, .