Get Analytic Hyperbolic Geometry in N Dimensions: An PDF

By Abraham Albert Ungar

ISBN-10: 1482236672

ISBN-13: 9781482236675

The inspiration of the Euclidean simplex is necessary within the research of n-dimensional Euclidean geometry. This publication introduces for the 1st time the idea that of hyperbolic simplex as a major suggestion in n-dimensional hyperbolic geometry.

Following the emergence of his gyroalgebra in 1988, the writer crafted gyrolanguage, the algebraic language that sheds traditional gentle on hyperbolic geometry and certain relativity. a number of authors have effectively hired the author’s gyroalgebra of their exploration for novel effects. Françoise Chatelin famous in her publication, and in different places, that the computation language of Einstein defined during this ebook performs a common computational position, which extends a long way past the area of unique relativity.

This booklet will motivate researchers to take advantage of the author’s novel concepts to formulate their very own effects. The booklet presents new mathematical tools, such as hyperbolic simplexes, for the examine of hyperbolic geometry in n dimensions. It also presents a brand new examine Einstein’s exact relativity concept.

Show description

Read Online or Download Analytic Hyperbolic Geometry in N Dimensions: An Introduction PDF

Best number theory books

Download PDF by Haruzo Hida: Hilbert Modular Forms and Iwasawa Theory (Oxford

The 1995 paintings of Wiles and Taylor-Wiles spread out a complete new process in algebraic quantity conception and, a decade on, the waves as a result of this exceedingly very important paintings are nonetheless being felt. This ebook, authored by way of a number one researcher, describes the impressive purposes which were came across for this system.

Download PDF by Andrea Rothbart: The Theory of Remainders (Dover Books on Mathematics)

An ingenious advent to quantity conception, this special approach employs a couple of fictional characters, Ant and Gnam. Ant leads Gnam via numerous theories, and jointly, they positioned the theories into action—applying linear diophantine equations to soccer scoring, utilizing a black-magic machine to simplify difficulties in modular constructions, and constructing exciting alterations to the principles of chess.

Download PDF by Krishnaswami Alladi,John R. Klauder,Calyampudi R. Rao: The Legacy of Alladi Ramakrishnan in the Mathematical

Within the spirit of Alladi Ramakrishnan’s profound curiosity and contributions to 3 fields of technological know-how — arithmetic, facts, and Physics — this quantity comprises invited surveys and examine articles from favourite contributors of those groups who additionally knew Ramakrishnan in my opinion and tremendously revered his impression in those parts of technology.

Download e-book for kindle: Hilbert Modular Forms with Coefficients in Intersection by Jayce Getz,Mark Goresky

Within the Seventies Hirzebruch and Zagier produced elliptic modular types with coefficients within the homology of a Hilbert modular floor. They then computed the Fourier coefficients of those kinds when it comes to interval integrals and L-functions. during this publication the authors take another method of those theorems and generalize them to the environment of Hilbert modular forms of arbitrary measurement.

Extra info for Analytic Hyperbolic Geometry in N Dimensions: An Introduction

Sample text

Download PDF sample

Analytic Hyperbolic Geometry in N Dimensions: An Introduction by Abraham Albert Ungar

by Richard

Rated 4.76 of 5 – based on 31 votes