### Further Resources

**Books on Classical Mechanics**: My favourite book on this topic is "

Mathematical Methods of Classical Mechanics" by V.I. Arnol'd. The book "

Physics for Mathematicians, Mechanics I" by M. Spivak is rather comprehensive, and "

Mathematical Physics: Classical Mechanics" by A. Knauf can work well for advanced topics. From the perspective of physics, the classical books on the subject are "

Classical Mechanics" by H. Goldstein and "

Mechanics: Volume 1" by L.D. Landau and E.M. Lifschitz.

**Books on Quantum Mechanics**: The material in the main textbook and the lectures can be complemented with the notes "

Quantum Mechanics for Mathematicians" by L.A. Takhtajan, and either of the books "

From Classical to Quantum Mechanics" by G. Esposito, "

Quantum Theory for Mathematicians" by B.C. Hall or "

Principles of Quantum Mechanics" by R. Shankar.

Standard sources in the topic, more focused on operator theory, include "

Modern Quantum Mechanics" by J.J. Sakurai and "

Mathematical Methodsin Quantum Mechanics" by G. Teschl. See also "

Introduction to Quantum Mechanics" by D.J. Griffiths and D.F. Schroeter, and "

A Student's Guide to the Schrödinger Equation" by D.A. Fleisch. Finally, the book "

Quantum Theory, Groups and Representations: An Introduction" by P. Woit is a fantastic introduction to quantum mechanics from the perspective of Lie groups and their representations.

**Lighter Reading on Quantum Mechanics**: Both "

Basic concepts of quantum mechanics" by L.V. Tarasov and "

Quantum Mechanics: The Theoretical Minimum" by L. Susskind and A. Friedman are gentle introductions to the subject. One might also benefit from "

The Feynman Lectures on Physics. Volume III: Quantum Mechanics" by R. Feynman.

**Video resources**: MIT's OpenCourseWare is a good source of Video Lectures and Lecture Notes. Among others, they include "

Quantum Physics I", "

Quantum Physics II", "

Quantum Physics III" and "

Introductory Quantum Mechanics I". L. Susskind's lighter series "

Online Lectures on Modern Physics" at Stanford's Continuing Studies Series can be good to watch for general background. Finally, the IIT Madras has the video lectures "

Quantum Mechanics". There are many additional resources online, let me know if you are interested in more references for a particular topic.