LearnIt/All Math and Physics Content

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Mathematics[edit]

Calculus[edit]

  • Advanced Calculus [link]

Linear Algebra[edit]

  • Linear algebra - Gilbert Strang, MIT [link]

Differential Equations[edit]

Algebra[edit]

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

Differential Geometery[edit]

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

Functional Analysis[edit]

  • none

Other[edit]

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

Links[edit]

youtube channels with math lectures

Mathematics for Physics[edit]

  • 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[edit]

  • 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[edit]

Analytical Mechanics[edit]

Classical Field Theory[edit]

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

General Relativity[edit]

  • 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[edit]

Quantum Mechanics[edit]

QM Video Courses[edit]

QM Textbooks[edit]

  • Cohen-Tannoudji, Shankar

Discussions[edit]

Advanced QM Video Courses[edit]

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

Quantum Information Video Courses[edit]

  • Quantum Mechanics and Quantum Computation, Berkley University, edx.org [link] [youtube]
  • Quantum Information, Perimeter, Andrew Childs [2013], Daniel Gottesman [2014]
  • https://www.youtube.com/playlist?list=PLcg7EgoDVWANVxoS34vb412x44e8Klyk-
  • 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[edit]

QM Foundations Video Courses[edit]

  • "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[edit]

  • 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[edit]

Quantum Field Theory[edit]

Introductory level[edit]

  • 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[edit]

(also considered as introductory level QFT)

  • Patel, Relativistic Quantum Mechanics
  • Namik Kemal, Quantum Mechanics II
  • Ennio Gozzi, Relativistic Quantum Mechanics

QFT General Level Courses[edit]

QFT Books[edit]

  • 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[edit]

Statistical Mechanics and Thermodynamics[edit]

Cosmology[edit]

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