Hyperbolic Geometry (London Mathematical Society Student by Birger Iversen

By Birger Iversen

even though it arose from simply theoretical issues of the underlying axioms of geometry, the paintings of Einstein and Dirac has validated that hyperbolic geometry is a primary point of contemporary physics. during this booklet, the wealthy geometry of the hyperbolic airplane is studied intimately, resulting in the point of interest of the publication, Poincare's polygon theorem and the connection among hyperbolic geometries and discrete teams of isometries. Hyperbolic 3-space can also be mentioned, and the instructions that present learn during this box is taking are sketched. this may be an outstanding advent to hyperbolic geometry for college kids new to the topic, and for specialists in different fields.

Show description

Read or Download Hyperbolic Geometry (London Mathematical Society Student Texts) PDF

Best geometry & topology books

Finsler Geometry: An Approach via Randers Spaces

"Finsler Geometry: An strategy through Randers areas" completely offers with a distinct type of Finsler metrics -- Randers metrics, that are outlined because the sum of a Riemannian metric and a 1-form. Randers metrics derive from the examine on normal Relativity concept and feature been utilized in lots of components of the usual sciences.

Mathematical Concepts

The most purpose of this ebook is to explain and improve the conceptual, structural and summary considering arithmetic. particular mathematical constructions are used to demonstrate the conceptual method; supplying a deeper perception into mutual relationships and summary universal positive factors. those rules are conscientiously influenced, defined and illustrated by way of examples in order that a number of the extra technical proofs might be passed over.

Modern General Topology (Bibliotheca Mathematica)

Bibliotheca Mathematica: a sequence of Monographs on natural and utilized arithmetic, quantity VII: glossy normal Topology specializes in the procedures, operations, ideas, and methods hired in natural and utilized arithmetic, together with areas, cardinal and ordinal numbers, and mappings. The ebook first elaborates on set, cardinal and ordinal numbers, easy ideas in topological areas, and numerous topological areas.

Fractal Functions, Fractal Surfaces, and Wavelets

Fractal capabilities, Fractal Surfaces, and Wavelets, moment variation, is the 1st systematic exposition of the idea of neighborhood iterated functionality structures, neighborhood fractal services and fractal surfaces, and their connections to wavelets and wavelet units. The e-book relies on Massopust’s paintings on and contributions to the idea of fractal interpolation, and the writer makes use of a few tools—including research, topology, algebra, and chance theory—to introduce readers to this intriguing topic.

Extra resources for Hyperbolic Geometry (London Mathematical Society Student Texts)

Example text

Download PDF sample

Rated 4.39 of 5 – based on 19 votes