Lobachevsky Geometry and Modern Nonlinear Problems

Andrey Popov, Andrei Iacob

$251.95 $201.58

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

Birkhauser Verlag AG
20 August 2014

Non-Euclidean geometry; Non-linear science

This monograph presents the basic concepts of hyperbolic Lobachevsky geometry and their possible applications to modern nonlinear applied problems in mathematics and physics, summarizing the findings of roughly the last hundred years. The central sections cover the classical building blocks of hyperbolic Lobachevsky geometry, pseudo spherical surfaces theory, net geometrical investigative techniques of nonlinear differential equations in partial derivatives, and their applications to the analysis of the physical models. As the sine-Gordon equation appears to have profound “geometrical roots” and numerous applications to modern nonlinear problems, it is treated as a universal “object” of investigation, connecting many of the problems discussed.

The aim of this book is to form a general geometrical view on the different problems of modern mathematics, physics and natural science in general in the context of non-Euclidean hyperbolic geometry.

By: Andrey Popov
Translated by: Andrei Iacob
Imprint: Birkhauser Verlag AG
Country of Publication: Switzerland
Edition: 2014 ed.
Dimensions: Height: 235mm, Width: 155mm, Spine: 19mm
Weight: 6.033kg
ISBN: 9783319056685
ISBN 10: 3319056689
Pages: 310
Publication Date: 20 August 2014
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Reviews for Lobachevsky Geometry and Modern Nonlinear Problems

The main aim of this book is to look at the potential of the geometry developed by Lobachevskii in the context of its emergence in various branches of current interest in contemporary mathematics and science, especially in nonlinear problems of mathematical physics. ... the book is well written, very readable, and nicely illustrated throughout with many graphs and figures, especially figures of surfaces. ... This unique book makes this difficult subject interesting and within reach. (Paul F. Bracken, Mathematical Reviews, August, 2015) The book is original in its form and content. It covers a wide spectrum of geometry and analysis and it displays the Lobachevsky plane as a central object in the study of the classical equations of mathematical physics. The style is expository and clear. This book is a valuable addition to the geometric literature. (Athanase Papadopoulos, zbMATH 1311.51002, 2015)