Non-Euclidean geometry Books

Evidence that Einstein's addition is regulated by the Thomas precession has come to light, turning the notorious Thomas precession, previously considered the ugly duckling of special relativity theory, into the beautiful swan...

This book presents the proceedings of the 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds, which was held at the Kyungpook National University from June 21 to 25, 2016. The Workshop was supported by the Research Institute of...

On the occasion of the International Conference on Nonlinear Hyperbolic Problems held in St. Etienne, France, 1986 it was decided to start a two years cycle of conferences on this very rapidly expanding branch of mathematics...

What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common? All are related to a type of manifold called locally mixed symmetric spaces in this book. The presentation emphasizes...

This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special emphasis is placed on isoparametric and Dupin hypersurfaces in real space forms as well as Hopf...

The Russian edition of this book appeared in 1976 on the hundred-and-fiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI delivered his famous lecture on his discovery of non-Euclidean geometry. The...

After many years of anticipation, one of the most momentous breakthroughs in the evolution of cryptocurrencies has at long last taken place. Ethereum has successfully completed the process that has come to be known as the "Merge." Because of this, the...

Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution. First, the author analyzes geometry in its historical and philosophical setting;...

Das vorliegende Buch liber ebene i~o~nope Geome~nie beinhaltet den ersten Teil einer Vorlesung liber isotrope Geometrie, die der Autor wiederholt an der Technischen Universitat Mlinchen, an der Universitat Kaiserslautern und an...

Ce livre est une introduction à la géométrie non-euclidienne, qui explore les modèles géométriques qui ne se conforment pas aux axiomes d'Euclide.This work has been selected by scholars as being culturally important, and is part of the knowledge base of...

This volume is intended to allow mathematicians and physicists, especially analysts, to learn about nonlinear problems which arise in Riemannian Geometry. Analysis on Riemannian manifolds is a field currently undergoing great...

"From nothing I have created a new different world," wrote János Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let him know his discovery of non-Euclidean geometry, as we call it today. The results of Bolyai and...

An Unabridged Printing, To Include All Exercises: Foundations - Elementary Theorems On Order - The Affine Group In The Plane - Euclidean Plane Geometry - Ordinal And Metric Properties Of Conics - Inversion Geometry And Related Topics - Comprehensive Index

This book is an introduction to hyperbolic and differential geometry that provides material in the early chapters that can serve as a textbook for a standard upper division course on hyperbolic geometry. For that material, the...

There are many technical and popular accounts, both in Russian and in other languages, of the non-Euclidean geometry of Lobachevsky and Bolyai, a few of which are listed in the Bibliography. This geometry, also called ...

This book provides an introduction to non-Euclidean geometry, a branch of mathematics that deviates from classical Euclidean geometry in significant ways. Coolidge's approach is accessible and engaging, and provides a valuable entry point to this...