几何原本

This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach …

An introduction to semi-Riemannian geometry as a foundation for general relativity Semi-Riemannian Geometry: The Mathematical Language of General Relativity is an accessible exposition of the mathema …

Math’s infinite mysteries unfold in this updated edition of the award-winning  The Math Book. Beginning millions of years ago with ancient “ant odometers, ” and moving through time to our modern …

Geometry is one of the most ancient branches of mathematics. In order to ‘understand geometry’, learners should be able to infer in a deductive way as well as be endowed with enhanced visual competen …

Resonance examines some building blocks of epistemology as a prelude to the careful analysis of the foundations of probability. The concept of resonance is introduced to shed light on the philosophic …

Welcome to the world of scale symmetry, the last elementary symmetry and the least explored!Find out how this long-neglected element transforms the traditional geometry of lines and planes into a ric …

This book is about new topological invariants of real- and angle-valued maps inspired by Morse-Novikov theory, a chapter of topology, which has recently raised interest outside of mathematics; for ex …

The book provides a self-contained and systematic treatment of algebraic and topological properties of convex sets in the n-dimensional Euclidean space. It benefits advanced undergraduate and graduat …

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 …

During Song (960 to 1279) and Yuan (1279 to 1368) dynasties, China experienced a peak in high-level algebraic investigation through the works of famous mathematicians such as Qin Jiushao, Zhu Shijie, …