國立虎尾科技大學 |

A comprehensive introduction to sub-Riemannian geometry /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A comprehensive introduction to sub-Riemannian geometry // Andrei Agrachev, Davide Barilari, Ugo Boscain ; with an appendix by Igor Zelenko.
Author:	Agrachev, Andrei A.,
other author:	Barilari, Davide,
Description:	1 online resource (xviii, 745 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 28 Oct 2019).
Subject:	Geometry, Riemannian. -
Online resource:	https://doi.org/10.1017/9781108677325
ISBN:	9781108677325 (ebook)

A comprehensive introduction to sub-Riemannian geometry /
Agrachev, Andrei A.,

A comprehensive introduction to sub-Riemannian geometry /Andrei Agrachev, Davide Barilari, Ugo Boscain ; with an appendix by Igor Zelenko. - 1 online resource (xviii, 745 pages) :digital, PDF file(s). - Cambridge studies in advanced mathematics ;181. - Cambridge studies in advanced mathematics ;134..

Title from publisher's bibliographic system (viewed on 28 Oct 2019).

Sub-Riemannian geometry is the geometry of a world with nonholonomic constraints. In such a world, one can move, send and receive information only in certain admissible directions but eventually can reach every position from any other. In the last two decades sub-Riemannian geometry has emerged as an independent research domain impacting on several areas of pure and applied mathematics, with applications to many areas such as quantum control, Hamiltonian dynamics, robotics and Lie theory. This comprehensive introduction proceeds from classical topics to cutting-edge theory and applications, assuming only standard knowledge of calculus, linear algebra and differential equations. The book may serve as a basis for an introductory course in Riemannian geometry or an advanced course in sub-Riemannian geometry, covering elements of Hamiltonian dynamics, integrable systems and Lie theory. It will also be a valuable reference source for researchers in various disciplines.

ISBN: 9781108677325 (ebook)Subjects--Topical Terms:

672546
Geometry, Riemannian.

LC Class. No.: QA671 / .A47 2020

Dewey Class. No.: 516.3/73

A comprehensive introduction to sub-Riemannian geometry /
LDR:02068nam a2200289 i 4500 001 1124482
003 UkCbUP
005 20191029140146.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 240926s2020||||enk o ||1 0|eng|d
020 $a 9781108677325 (ebook)
020 $z 9781108476355 (hardback)
035 $a CR9781108677325
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 0 0 $a QA671 $b .A47 2020
082 0 0 $a 516.3/73 $2 23
100 1 $a Agrachev, Andrei A., $e author. $3 1442044
245 1 2 $a A comprehensive introduction to sub-Riemannian geometry / $c Andrei Agrachev, Davide Barilari, Ugo Boscain ; with an appendix by Igor Zelenko.
264 1 $a Cambridge : $b Cambridge University Press, $c 2020.
300 $a 1 online resource (xviii, 745 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
490 1 $a Cambridge studies in advanced mathematics ; $v 181
500 $a Title from publisher's bibliographic system (viewed on 28 Oct 2019).
520 $a Sub-Riemannian geometry is the geometry of a world with nonholonomic constraints. In such a world, one can move, send and receive information only in certain admissible directions but eventually can reach every position from any other. In the last two decades sub-Riemannian geometry has emerged as an independent research domain impacting on several areas of pure and applied mathematics, with applications to many areas such as quantum control, Hamiltonian dynamics, robotics and Lie theory. This comprehensive introduction proceeds from classical topics to cutting-edge theory and applications, assuming only standard knowledge of calculus, linear algebra and differential equations. The book may serve as a basis for an introductory course in Riemannian geometry or an advanced course in sub-Riemannian geometry, covering elements of Hamiltonian dynamics, integrable systems and Lie theory. It will also be a valuable reference source for researchers in various disciplines.
650 0 $a Geometry, Riemannian. $3 672546
700 1 $a Barilari, Davide, $e author. $3 1442045
700 1 $a Boscain, Ugo, $e author. $3 1442046
776 0 8 $i Print version: $z 9781108476355
830 0 $a Cambridge studies in advanced mathematics ; $v 134. $3 1133579
856 4 0 $u https://doi.org/10.1017/9781108677325