Geometry

The first complete, in-depth study of the origins of division in extreme and mean ratio (DEMR)-‘the Golden Number’-this text charts every aspect of this important mathematical concept’s historic deve …

This monograph is an account of the author’s investigations of gradient vector flows on compact manifolds with boundary. Many mathematical structures and constructions in the book fit comfortably in …

Dive into the intellectual origins of Western philosophy with ‘Ancilla to the Pre-Socratic Philosophers.’ This comprehensive translation brings to life the fragments of wisdom left by the ancient Gre …

A breathtakingly illustrated look at botanical spirals and the scientists who puzzled over them Charles Darwin was driven to distraction by plant spirals, growing so exasperated that he once begged a …

This book uses simple geometry, trigonometry and algebra to explain how to construct and calculate the golden ratio. Starting from Euclids propositions in The Elements, the golden ratio and its relat …

Sophie Germain taught herself mathematics by candlelight, huddled in her bedclothes. Ada Byron Lovelace anticipated aspects of general-purpose digital computing by more than a century. Cora Ratto de …

This unique book overturns our ideas about non-Euclidean geometry and the fine-structure constant, and attempts to solve long-standing mathematical problems. It describes a general theory of ‘recursi …

Considers how our ideas about mathematics shape our individual and cultural relationship to the field. Where and how do we, as a culture, get our ideas about mathematics and about who can engage with …

There is a logical flaw in the statistical methods used across experimental science. This fault is not a minor academic quibble: it underlies a reproducibility crisis now threatening entire disciplin …

‘This book is a useful reference for faculty members involved in contest preparation or teaching Euclidean geometry at the college level.’ MAA Reviews This new volume of the Mathematical Olympiad Ser …