Proofs from THE BOOK

Proofs from THE BOOK, 6th Edition, published by Springer, presents a curated selection of mathematical proofs and fundamental theorems. Originating from discussions with Paul Erdős, the volume collects arguments chosen for their ingenuity and clarity across diverse mathematical topics.

The authors selected demonstrations intended to remain accessible to anyone with a background in basic undergraduate mathematics. As highlighted by the 2018 Steele Prize citation, the exposition illustrates for non-mathematicians what practitioners mean when they speak of beauty in mathematics.

For the 2018 sixth edition, the volume introduces an entirely new chapter on Van der Waerden's permanent conjecture, while also incorporating additional proofs across other chapters.