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Mathematics

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Calculus

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  • Advanced Calculus [link]

Linear Algebra

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  • Linear algebra - Gilbert Strang, MIT [link]

Differential Equations

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Algebra

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  • Lie Groups and Lie Algebras - PI & PSI, ... [link] (with a particular focus on physics, though)

Differential Geometery

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  • Tensor Calculus and the Calculus of Moving Surfaces - P. Grinfield [link] (todo: much more stuff is on his channel)

Functional Analysis

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https://youtube.com/playlist?list=PLUl4u3cNGP63micsJp_--fRAjZXPrQzW_&si=VPKXWHeCyQm3t2kN

  • none

Other

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  • The Fourier Transforms and its Applications, Stanford, [link]
  • Math history [link]
  • Differential topology - J.W. Milnor [link]
  • Topology & Geometry by Dr Tadashi Tokieda [link]
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youtube channels with math lectures

Mathematics for Physics

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  • Lectures on Geometrical Anatomy of Theoretical Physics, Fredric Schuller, FAU [link]
  • Selected Topics in Mathematical Physics, prof. V. Balakrishnan [link]
  • Lie Groups and Lie Algebras - PI & PSI, ... [link] (with a particular focus on physics)

General Physics

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  • Fundamentals of Physics - Prof. R. Shankar, Yale [link]
    • Part I - Newtonian mechanics, special relativity, gravitation, thermodynamics, and waves [link]
    • Part II - electricity, magnetism, optics and quantum mechanics [link]
  • Basic Physics, UCI
    • Part A - kinematics and Newtonian dynamics - Prof. M. Dennin [link]
    • Part B - fluid mechanics, thermodynamics,electrostatics, magnetism - Prof. R. McWilliams [link]
    • Part C - waves and sound, optics, quantum concepts, atomic and nuclear physics, and relativity - Michael Smy [link]

Others

  • Electromagnetism, Robert de Mello Koch, AIMS [link] - a bit more advanced than a general physics level

Analytical Mechanics and Classical Field Theory

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Analytical Mechanics

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Classical Field Theory

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  • Classical Field Theory, S.Govindarajan, IITM, NPTEL [link]
  • Electromagnetic Theory II, A. Baykal, METU [link]

General Relativity

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  • Prof. Hamber, Einstein's General Relativity and Gravitation - UCI [link]
  • Frederic P Schuller, Lectures on general relativity [link] + tutorials [link]
  • E. Akhmedov, Introduction into General Theory of Relativity - HSE, coursera [link] (new)
  • Ruth Gregory, Gravitational Physics Review - PSI [link]
  • Alexander Maloney
  • Alex Flournoy, General Relativity, Colorado School of Mines [link]

Quantum Mechanics

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Quantum Mechanics

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QM Video Courses

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QM Textbooks

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  • Cohen-Tannoudji, Shankar

Discussions

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Advanced QM Video Courses

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  • "Introduction to Quantum Optics", LMU, Coursera [link]
  • "Quantum Mechanics I,II" -- N.Kemal PAK, METU [part 1] [part 2]
  • "Atomic and optical physics I, II", MIT [8.421, 8.422, also 8.421 at edx.org]
  • Advanced quantum theory, Tobias Osborne [link]
  • Theory of quantum noise and decoherence - Tobias Osborne [link]

Quantum Information Video Courses

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  • Quantum Mechanics and Quantum Computation, Berkley University, edx.org [link] [youtube]
  • Quantum Information, Perimeter, Andrew Childs [2013], Daniel Gottesman [2014] [link2]
  • MIT Quantum Information Science 8.370 [1] [2] [3]
  • MIT Quantum Information Science 8.371 [1] [2] [3]
  • The Hardware of a Quantum Computer [link]
  • Architecture, Algorithms, and Protocols of a Quantum Computer and Quantum Internet [link]
  • Quantum Cryptography [link]
  • Quantum machine learning, Peter Wittek, University of Toronto [link]
  • The Introduction to Quantum Computing by Saint Petersburg State University [link]

QM Foundations

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QM Foundations Video Courses

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  • "Foundations of Quantum Mechanics" - Florian Marquardt [link]
  • "Foundations of Quantum Mechanics" - Perimeter, R. Spekkens [2009, 2010, 2011, 2012], L. Hardy [2013, 2014]
  • "Foundations and Interpretation of Quantum Theory" - Perimeter [2010-1, 2010-2]
  • "Interpretation of Quantum Theory" - Perimeter [2005]
  • Theory of quantum noise and decoherence - Tobias Osborne [link]

QM Foundations Books

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  • Quantum Paradoxes. Y.Aharonov, D.Rohrlich
  • Do We Really Understand Quantum Mechanics? F.Laloë
  • The Quantum Challenge. Modern Research on the Foundations of Quantum Mechanics. G.Greenstein, A.G.Zajonc

Quantum Field Theory

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Quantum Field Theory

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Introductory level

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  • The Discovery of the Higgs Boson, Edinburgh University [link] (somewhere popular, not a regular studying course)
  • Leonard Susskind, Advanced QM and Particle Physics [ Adv, P1, P2, P3 ]
  • Alex Flornoy, Particle physics, Colorado School of Mines [link]
  • Muhammad S. Anwar, Introduction to Quantum Field Theory - Physlab, Pakistan [link not available]

Relativistic QM

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(also considered as introductory level QFT)

  • Apoorva D Patel, Relativistic Quantum Mechanics [link]
  • Ennio Gozzi, Relativistic Quantum Mechanics

QFT General Level Courses

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QFT Books

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  • An Interpretive Introduction to Quantum Field Theory
  • How Is Quantum Field Theory Possible?
  • The Conceptual Framework of Quantum Field Theory
  • Conceptual Foundations of Quantum Field Theory
  • Gauge Theories in Particle Physics: A Practical Introduction

Other Physics Topics

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Statistical Mechanics and Thermodynamics

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Cosmology

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  • Alan Guth, The Early Universe - MIT [link]
  • Sean Carroll, Cosmology for Particle Physicists - CERN [link]
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