Barycentric calculus in euclidean and hyperbolic geometry: a comparative introduction - Image 1

£63.14

World Scientific Publishing Company Barycentric calculus in euclidean and hyperbolic geometry: a comparative introduction

Name: Barycentric calculus in euclidean and hyperbolic geometry: a comparative introduction
Brand: World Scientific Publishing Company
Price: 65.25 GBP
Availability: InStock

45 Line drawings, unspecified

Higher Education

Price data last checked 79 day(s) ago - refreshing...

View at Amazon

Price History & Forecast

Last 12 days • 12 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 12 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £63 (8 days, 66.7%)

Price range: £63 - £65

Price levels: 2 different prices over 12 days

Description

The word barycentric is derived from the Greek word barys (heavy), and refers to center of gravity. Barycentric calculus is a method of treating geometry by considering a point as the center of gravity of certain other points to which weights are ascribed. Hence, in particular, barycentric calculus provides excellent insight into triangle centers. This unique book on barycentric calculus in Euclidean and hyperbolic geometry provides an introduction to the fascinating and beautiful subject of novel triangle centers in hyperbolic geometry along with analogies they share with familiar triangle centers in Euclidean geometry. As such, the book uncovers magnificent unifying notions that Euclidean and hyperbolic triangle centers share. In his earlier books the author adopted Cartesian coordinates, trigonometry and vector algebra for use in hyperbolic geometry that is fully analogous to the common use of Cartesian coordinates, trigonometry and vector algebra in Euclidean geometry. As a result, powerful tools that are commonly available in Euclidean geometry became available in hyperbolic geometry as well, enabling one to explore hyperbolic geometry in novel ways. In particular, this new book establishes hyperbolic barycentric coordinates that are used to determine various hyperbolic triangle centers just as Euclidean barycentric coordinates are commonly used to determine various Euclidean triangle centers. The hunt for Euclidean triangle centers is an old tradition in Euclidean geometry, resulting in a repertoire of more than three thousand triangle centers that are known by their barycentric coordinate representations. The aim of this book is to initiate a fully analogous hunt for hyperbolic triangle centers that will broaden the repertoire of hyperbolic triangle centers provided here.

Product Specifications

Brand: World Scientific Publishing Company
Model: 45 Line drawings, unspecified
Format: paperback
ASIN: 981430493X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Education > Higher Education
Domain: Amazon UK
Release Date: 26 August 2010
Listed Since: 24 February 2010

Barcode

No barcode data available

World Scientific Publishing Company Barycentric calculus in euclidean and hyperbolic geometry: a comparative introduction

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Barycentric Calculus In Euclidean And Hyperbolic Geometry: A Comparative Introduction (second Edition)

Analytic Hyperbolic Geometry: Mathematical Foundations And Applications

Analytic Hyperbolic Geometry And Albert Einstein's Special Theory Of Relativity: Second Edition

Geometry with Trigonometry

A Simple Non-Euclidean Geometry and Its Physical Basis: An Elementary Account of Galilean Geometry and the Galilean Principle of Relativity (Heidelberg Science Library)

CRC Press - The Geometry of Special Relativity Textbook

Basic Lessons On Isometries, Similarities And Inversions In The Euclidean Plane: A Synthetic Approach

The Geometry of Special Relativity (Textbooks in Mathematics)

College Geometry: A Unified Development (Textbooks in Mathematics)

CRC Press - Generalized Trigonometric and Hyperbolic Functions

Analytic Hyperbolic Geometry in N Dimensions: An Introduction

Euclidean Geometry in Mathematical Olympiads (Problem Books)

Elementary Geometry in Hyperbolic Space: 11 (De Gruyter Studies in Mathematics, 11)

Euclidean Geometry and its Subgeometries

Lectures on Euclidean Geometry - Volume 1: Euclidean Geometry of the Plane

Geometries (Student Mathematical Library)

Geometries and Groups (Universitext)

Euclidean, Non-Euclidean, and Transformational Geometry: A Deductive Inquiry

Lectures on Hyperbolic Geometry (Universitext)

Lectures on Euclidean Geometry - Volume 2: Circle measurement, Transformations, Space Geometry, Conics

The Foundations of Geometry and the Non-Euclidean Plane (Undergraduate Texts in Mathematics)

An Algebraic Approach to Geometry: Geometric Trilogy II

Lectures on Euclidean Geometry - Volume 1: Euclidean Geometry of the Plane

Circles, Spheres and Spherical Geometry (Birkhäuser Advanced Texts Basler Lehrbücher)