Selected Chapters in the Calculus of Variations
✍ Scribed by Jürgen Moser
- Book ID
- 127419011
- Publisher
- Birkhäuser
- Year
- 2002
- Tongue
- English
- Weight
- 1 MB
- Series
- Lectures in Mathematics ETH Zürich
- Edition
- 1
- Category
- Library
- ISBN
- 303488057X
No coin nor oath required. For personal study only.
✦ Synopsis
These lecture notes describe a new development in the calculus of variations called Aubry-Mather-Theory. The starting point for the theoretical physicist Aubry was the description of the motion of electrons in a two-dimensional crystal in terms of a simple model. To do so, Aubry investigated a discrete variational problem and the corresponding minimals.
📜 SIMILAR VOLUMES
The calculus of variations has a long history of interaction with other branches of mathematics, such as geometry and differential equations, and with physics, particularly mechanics. More recently, the calculus of variations has found applications in other fields such as economics and electrical en