MATHEMATICS OF SELF-ORGANISATION IN CELL SYSTEMS
 
 
 
by Steffen Härting
by Moritz Mercker
by Moritz Mercker
by Steffen Härting
Vorlesung

Mathematical methods in physics - Lagrange and Hamilton mechanics

Supervisor
Dr. Filip Klawe (klawe(at)math(dot)uni-heidelberg(dot)de)
Lecture time: Monday 09:15-10:45 and Wednesday 09:15-10:45
Lecture place: TBA
Participants:
Bachelor students
Leistungspunkte:
6 LP FÜK
Requirements:
Analysis I and II, Linear Algebra I and II
Exam:
Oral or written final exam - depending of the number of students at the beginning of the course. It will be clear after te first lecture;
There will be 3 or 4 exercise sheets (homework) published during the semester.
Abstract:
Albert Einstein said that mathematics is a tool for describing nature. And we will learn how to use this tool. Starting from basic mathematical structures, after some work, it will lead to a form that has a completely different interpretation. The lecture is structured so that students will be able to understand some basic concepts of physics.

The lecture starts with basic definitions, facts, theorems and laws. Then we will focus on the following topics: Newtonian, Lagrangian and Hamiltonian mechanics, calculus of variations and ergodic theory. Each topic will be considered from different aspects: its physical origin, its applications, and the mathematical approach used to describe it and its properties. Additionally, we will supplement the theory with real-life examples. We will not follow the standard path and we will not study every branch of physics in depth since this is impossible in such a short time. The main aim is to show the wide horizon of applied mathematics.

The course is aimed at mathematics students who wish to broaden their knowledge of physics.
Homework 1
set 1 deadline: 09:20 18.12.2023
Materials:
  1. Fasano, Marmi Analytical mechanics.
  2. Abraham, Marsden, Foundation of mechanics.
  3. Arnold, Mathematical Methods of Classical Mechanics.
  4. Truesdell, Essays in the history of mechanics.
Important information:
  • Please send me an email to if you are interested in participation in lecture.
  • The form of the course will depend on Uni regulation.
  • First lecture on: 16.10