Geometry

This is a popular book that chronicles the historical attempts to prove the fifth postulate of Euclid on parallel lines that led eventually to the creation of non-Euclidean geometry. To absorb the ma …

Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. They got their name, because in three dimensions they occur as the symmetry groups …

This book aims to make the subject of geometry and its applications easy and comfortable to understand by students majoring in mathematics or the liberal arts, architecture and design. It can be used …

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 …

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 …

Finalist for the PEN/E.O. Wilson Literary Science Writing Award ‘What a fun escape! Reminds me of math books I read when I was coming of age.’ —Neil de Grasse Tyson An ‘exhilarating’ (Steven Strogatz …

INTRODUCTION TO DIFFERENTIAL GEOMETRY WITH TENSOR APPLICATIONS This is the only volume of its kind to explain, in precise and easy-to-understand language, the fundamentals of tensors and their applic …

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 …

One-Cocycles and Knot Invariants is about classical knots, i.e., smooth oriented knots in 3-space. It introduces discrete combinatorial analysis in knot theory in order to solve a global tetrahedron …

This book is based on a series of lectures at the Mathematics Department of the University of Jena, developed in the period from 1995 up to 2015. It is completed by additional material and extensions …