Calculus of variations is a classical field in analysis and plays an important role in both, pure and applied mathematics. It is interconnected with other branches in mathematics, such as PDEs, geometry and optimal control, and has various applications in physics and engineering, e.g., in classical mechanics, quantum mechanics, material science and image processing.
The Calculus of Variations deals with optimization problems. Typically, one aims to find and analyze functions (within an appropriate class) that minimize or maximize a certain functional.
This course gives an introduction to the field and addresses classical problems, results and techniques.
