عنوان

A comprehensive introduction to sub-Riemannian geometry /

(Number (ISBN

1108677320

(Number (ISBN

9781108677325

Erroneous ISBN

9781108476355

Title Proper

A comprehensive introduction to sub-Riemannian geometry /

General Material Designation

[Book]

First Statement of Responsibility

Andrei Agrachev, Davide Barilari, Ugo Boscain ; with an appendix by Igor Zelenko.

Place of Publication, Distribution, etc.

Cambridge :

Name of Publisher, Distributor, etc.

Cambridge University Press,

Date of Publication, Distribution, etc.

2020.

Specific Material Designation and Extent of Item

1 online resource (xviii, 745 pages).

Series Title

Cambridge studies in advanced mathematics ;

Volume Designation

181

Text of Note

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.

Control theory.

Differential equations.

Geometry, Riemannian.

Integral equations.

Mathematical recreations.

Mathematics.

Topology.

Control theory.

Differential equations.

Geometry, Riemannian.

Integral equations.

Mathematical recreations.

Mathematics.

Topology.

Number

Edition

Class number

Book number

Agrachev, Andrei A.

Barilari, Davide

Boscain, Ugo

Date of Transaction

20200822151141.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y