Linear Algebra and Physics
Welcome to your course! This course is the first course in a series of courses (not all by me). I thought that, quite humbly, with regards to the current situation of educational system in Iran, I knew many courses much better when I was a highschool student! It is not easy to correct this continuously failing educational system which is not based on merit but I decided to do my best. I thought we students can show a glimpse of how serious, organized, nice and rewarding a course can be in the hope that this will cause waves of enlightenment among students so that they know themselves, their rights and demand more. this of course, is rather idealistic but so are all influencing movements. Let us start a tradition of excellence, solely based on merit, which values science the most. this could not be done without your help and understanding. Thanks for helping us in this mission!
Notices
- Eigenvectors from Eigenvalues
- Check out my reports on the book Making sense of quantum mechanics.
- Make sure to learn the definitions by Axler's book. Double check them.
- Do whatever you can from the exercises (below). updated
- Do Reading Assignments.
Goals of the course, syllabus, etc.
As the title says, after finishing this course you should be able to fully understand the mathematics behind intermediate quantum mechanics. The major subject we have to cover is Linear Algebra and it should be covered much more than what is usual for university courses.
The first seven chapters of Linear Algebra Done Right by Axler are covered for sure. Having covered that we would need to do some Real Analysis but as it is not quite necessary for physicists we might not go this way. It will depend on participants.
Useful resources
Mathematics by Geroch (Make sure to read this)
- Linear Algebra Done Right, Sheldon Axler (Main reference)
- Algèbre 1, Université du Luxembourg
- Manifolds, Tensors and Forms: An Introduction for Mathematicians and Physicists, Paul Renteln
- Physical Mathematics, Kevin Cahill
- Mathematical Physics, Sadri Hassani
- http://www.dpmms.cam.ac.uk/study/IB/LinearAlgebra/
- http://www.dpmms.cam.ac.uk/study/II/LinearAnalysis/
- http://www.damtp.cam.ac.uk/user/examples/
Reading Assignments
Homeworks (updated)