東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Lectures on Differential Geometry

Taimanov, Iskander A.,

Linked to FindBook

Google Book

Amazon

博客來

Lectures on Differential Geometry

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lectures on Differential Geometry/ Iskander A. Taimanov
Author:	Taimanov, Iskander A.,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2008,
Description:	1 online resource (219 pages)
Subject:	Mathematics -
Online resource:	https://doi.org/10.4171/050
Online resource:	https://www.ems-ph.org/img/books/taimanov_mini.jpg
ISBN:	9783037195505

Lectures on Differential Geometry
Taimanov, Iskander A.,

Lectures on Differential Geometry[electronic resource] /Iskander A. Taimanov - Zuerich, Switzerland :European Mathematical Society Publishing House,2008 - 1 online resource (219 pages) - EMS Series of Lectures in Mathematics (ELM) ;2523-5176.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

Differential geometry studies geometrical objects using analytical methods. Like modern analysis itself, differential geometry originates in classical mechanics. For instance, geodesics and minimal surfaces are defined via variational principles and the curvature of a curve is easily interpreted as the acceleration with respect to the path length parameter. Modern differential geometry in its turn strongly contributed to modern physics. This book gives an introduction to the basics of differential geometry, keeping in mind the natural origin of many geometrical quantities, as well as the applications of differential geometry and its methods to other sciences. The text is divided into three parts. The first part covers the basics of curves and surfaces, while the second part is designed as an introduction to smooth manifolds and Riemannian geometry. In particular, Chapter 5 contains short introductions to hyperbolic geometry and geometrical principles of special relativity theory. Here, only a basic knowledge of algebra, calculus and ordinary differential equations is required. The third part is more advanced and introduces into matrix Lie groups and Lie algebras, representation theory of groups, symplectic and Poisson geometry, and applications of complex analysis in surface theory. The book is based on lectures the author held repeatedly at Novosibirsk State University. It is addressed to students as well as to anyone who wants to learn the basics of differential geometry.

ISBN: 9783037195505

Standard No.: 10.4171/050doiSubjects--Topical Terms:

524147
Mathematics

Lectures on Differential Geometry
LDR:02555nmm a22003135a 4500 001 2233171
003 CH-001817-3
005 20091109150325.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 210928e20080408sz fot ||| 0|eng d
020 $a 9783037195505
024 7 0 $a 10.4171/050 $2 doi
035 $a 76-091109
040 $a ch0018173
072 7 $a PBMP $2 bicssc
072 7 $a PB $2 bicssc
084 $a 53-xx $2 msc
100 1 $a Taimanov, Iskander A., $e author. $3 3480908
245 1 0 $a Lectures on Differential Geometry $h [electronic resource] / $c Iskander A. Taimanov
260 3 $a Zuerich, Switzerland : $b European Mathematical Society Publishing House, $c 2008
300 $a 1 online resource (219 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 0 $a EMS Series of Lectures in Mathematics (ELM) ; $x 2523-5176
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a Differential geometry studies geometrical objects using analytical methods. Like modern analysis itself, differential geometry originates in classical mechanics. For instance, geodesics and minimal surfaces are defined via variational principles and the curvature of a curve is easily interpreted as the acceleration with respect to the path length parameter. Modern differential geometry in its turn strongly contributed to modern physics. This book gives an introduction to the basics of differential geometry, keeping in mind the natural origin of many geometrical quantities, as well as the applications of differential geometry and its methods to other sciences. The text is divided into three parts. The first part covers the basics of curves and surfaces, while the second part is designed as an introduction to smooth manifolds and Riemannian geometry. In particular, Chapter 5 contains short introductions to hyperbolic geometry and geometrical principles of special relativity theory. Here, only a basic knowledge of algebra, calculus and ordinary differential equations is required. The third part is more advanced and introduces into matrix Lie groups and Lie algebras, representation theory of groups, symplectic and Poisson geometry, and applications of complex analysis in surface theory. The book is based on lectures the author held repeatedly at Novosibirsk State University. It is addressed to students as well as to anyone who wants to learn the basics of differential geometry.
650 0 7 $a Mathematics $3 524147
650 0 7 $a Differential geometry $2 msc $3 3480811
650 0 7 $a Differential & Riemannian geometry $2 bicssc $3 3480810
856 4 0 $u https://doi.org/10.4171/050
856 4 2 $3 cover image $u https://www.ems-ph.org/img/books/taimanov_mini.jpg