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The Sensual (quadratic) Form [Conway] - mklabgr - 07-26-2026
The Sensual (quadratic) Form
BY John Horton Conway
Summary
The Sensual (quadratic) Form (Carus Mathematical Monographs, Volume 26) by John Horton Conway offers a fresh, visual, and highly intuitive introduction to the theory of quadratic forms and lattices, based on his 1991 Hedrick Lectures. Rather than taking a traditional textbook approach, Conway presents a series of self-contained, accessible essays that turn abstract number-theoretic concepts into geometric and tangible ideas—most famously through his "topograph" method for visualizing binary quadratic forms.
Designed to be accessible to anyone with a basic mathematical background, the book guides readers through topics such as $p$-adic numbers, unimodular lattices, and the representation of integers by quadratic forms using Conway's characteristic playful, vivid, and elegant style.
BOOK