Maciej Dunajski's Lecture Notes



  • Part IB Variational Principles (2022).

    Sheet 1,

    Sheet 2,

    HORIZON,

  • Part II Classical Dynamics (2017)

    Sheet 1, Sheet 2, Sheet 3, Sheet 4

  • Part III Solitons, Instantons, and Geometry (2023).

    Sheet 1,

    Sheet 2,

    Sheet 3.

  • Part III General Relativty (2017).

    Sheet 1, Sheet 2

  • Part III Solitons and Instantons.

    Sheet 1, Sheet 2

  • Part II Integrable Systems.

    Sheet 1, Sheet 2, Sheet 3, Revision Sheet

    Lecture Notes.

  • Overdetermined PDEs, Graduate Course (2016).

    Lecture Notes .

  • Part III Applications of Differential Geometry to Physics (2020).

    Sheet 1, Sheet 2

  • Part II Further Complex Methods (2014).

    Sheet 1, Sheet 2, Sheet 3, Sheet 4

    Handouts (after Dr Siklos)

    1. Functions defined by integrals , 2. Arcsin and branch cut , 3. Integral representation of the Hermite equation ,

    , 4. The Hankel representation of the Gamma function , , 5. The functional equation for the zeta function , 6. The Legendre equation in the Papperitz form

  • Quantum Mechanics. Rough lecture notes from my old Quantum Theory Oxford course, which have been adapted for the African Institute for Mathematical Sciences .

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