07-26-2026, 12:43 AM
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
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
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