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

Abraham Albert Ungar (North Dakota State Univ, Usa)

$419.99

Hardback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

World Scientific Publishing Co Pte Ltd
13 February 2008

Non-Euclidean geometry; Relativity physics

Summary
Details

This book presents a powerful way to study Einstein's special theory of relativity and its underlying hyperbolic geometry in which analogies with classical results form the right tool. It introduces the notion of vectors into analytic hyperbolic geometry, where they are called gyrovectors.

Newtonian velocity addition is the common vector addition, which is both commutative and associative. The resulting vector spaces, in turn, form the algebraic setting for the standard model of Euclidean geometry. In full analogy, Einsteinian velocity addition is a gyrovector addition, which is both gyrocommutative and gyroassociative. The resulting gyrovector spaces, in turn, form the algebraic setting for the Beltrami-Klein ball model of the hyperbolic geometry of Bolyai and Lobachevsky. Similarly, Moebius addition gives rise to gyrovector spaces that form the algebraic setting for the Poincare ball model of hyperbolic geometry.

In full analogy with classical results, the book presents a novel relativistic interpretation of stellar aberration in terms of relativistic gyrotrigonometry and gyrovector addition. Furthermore, the book presents, for the first time, the relativistic center of mass of an isolated system of noninteracting particles that coincided at some initial time t = 0. The novel relativistic resultant mass of the system, concentrated at the relativistic center of mass, dictates the validity of the dark matter and the dark energy that were introduced by cosmologists as ad hoc postulates to explain cosmological observations about missing gravitational force and late-time cosmic accelerated expansion.

The discovery of the relativistic center of mass in this book thus demonstrates once again the usefulness of the study of Einstein's special theory of relativity in terms of its underlying analytic hyperbolic geometry.

By: Abraham Albert Ungar (North Dakota State Univ Usa)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Dimensions: Height: 230mm, Width: 162mm, Spine: 40mm
Weight: 1.043kg
ISBN: 9789812772299
ISBN 10: 9812772294
Pages: 648
Publication Date: 13 February 2008
Audience: College/higher education , A / AS level
Format: Hardback
Publisher's Status: Active

PERHAPS A GIFT VOUCHER FOR MUM?: MOTHER'S DAY

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

Abraham Albert Ungar (North Dakota State Univ, Usa)

$419.99

Hardback

See Also

Contact Abbeys

Contact Galaxy

Contact Language

Contact Us

About ABBEY'S