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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 …

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 …

One sun, two parents, three meals a day, four seasons, five fingers … every child soon discovers that lots of things in life have an inherent number attached to them. Just as five individual fingers …

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 …

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 …

An engrossing look at the history and importance of a centuries-old but still unanswered math problem For centuries, mathematicians the world over have tried, and failed, to solve the zeta-3 problem. …

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 …