Are there any mathematical departments which present the course "elementary physics" for pure math undergraduate students, separately?

Is there a way to present this course with the most pure mathematical manner?

I remember finding a PDF file, many years ago, titled "Lectures on physics". It was a graduate level lecture, written by a mathematician. In that lecture, one could not find any technical physical words. Instead, it contained only mathematical descriptions of physical systems, for example: Hamiltonian system, symplectic geometry, etc.

Unfortunately I lost that PDF file and cannot find it again. It was a lecture from Michigan university. I do not even remember the name of that author but if I am not mistaken his name was 'Idaglu' (or some thing like this) from Michigan. Can anyone help me find that lecture again?

Is there an undergraduate version of the above graduate level lecture?


While I did not attend any elementary physics courses by mathematicians for mathematicians, I did attend a curriculum of courses called "Mathematical Physics" held by mathematicians for mathematicians and physicists. In terms of physics and mathematics, they were some kind of advanced level course - it helped if you knew linear algebra, calculus and the basic concepts of theoretical physics. The courses were:

  1. Classical Mechanics (including geometrical aspects, dynamical systems and Hamiltonian and Lagrangian mechanics). The lecture notes (in German) can be found here.

  2. Statistical Mechanics (including topics like entropy and phase transitions). The lecture notes (in German) can be found here.

  3. Quantum Theory/Operator Theory for Hilbert spaces: Based on the books by Reed/Simon, this was a 1.5-year course providing all the important tools for quantum mechanics and dipping into some interesting aspects of quantum mechanics.

  4. Quantum Information Theory. There are preliminary lecture notes by A. Knauf in German, which I'm not going to link here.


You might be interested in Brian C. Hall's book Quantum Theory for Mathematicians. The author writes on his webpage about the book:

This book aspires to be a self-contained and reasonably comprehensive treatment of quantum mechanics (excluding quantum field theory) from a mathematical perspective. No prior knowledge of physics is required, but only the basics of Hilbert spaces and real analysis.

See https://www3.nd.edu/~bhall/book/quantum.html for more information. There's also a helpful, detailed review on Amazon.

  • $\begingroup$ Thank you very much for your answer. $\endgroup$ – Ali Taghavi Apr 11 at 20:04

See Michael Spivak's "Physics for Mathematicians"

See also the notes that the book came from


From a comment by Michael Joyce:

The notes are by Igor Dolgachev and can be accessed here: http://math.lsa.umich.edu/~idolga/lecturenotes.html


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