MATHEMATICAL METHODS OF PHYSICS
Fourier series. Strum-Liouville theory. Laplace’s equation. The heat equation. The wave equation. Generalised functions. Green’s functions for ODEs. Fourier transforms. Characteristics. Green’s functions for PDEs.
Mathematical Methods, by D. Skinner, 2016, University of Cambridge.
Methods, Lecture notes I, II, III, and IV, by R. Jozsa, 2013, University of Cambridge.
Methods, by C. Caulfield, 2009, University of Cambridge.
Methods, written by D. Chua, based on lectures by D. Skinner, 2015, University of Cambridge.
Methods, written by P. Metcalfe, based on lectures by E. P. Shellard, 1996, University of Cambridge.
Fourier Series and Partial Differential Equations, by R. Baker, 2018, University of Oxford.
Differential Equations 1, by J. Dyson, M. Rupflin, P. Grindrod, C. Please, P. Tod, L. Mason, 2020, University of Oxford.
Differential Equations 2, by R. Lambiotte, 2021, University of Oxford.
Integral Transforms, by R. Earl, S. Howison, 2020, University of Oxford.
18.075 Advanced Calculus for Engineers, written by M. Yersiz, based on lectures by D. Margetis, 2004, Massachusetts Institute of Technology.
18.085 Computational Science and Engineering I, taught by C. Zhang, 2020, Massachusetts Institute of Technology.
- With Solutions
18.075 Advanced Calculus for Engineers, written by M. Yersiz, based on lectures by D. Margetis, 2004, Massachusetts Institute of Technology.
18.085 Computational Science and Engineering I, taught by C. Zhang, 2020, Massachusetts Institute of Technology. - Without Solutions
Methods, E. P. S. Shellard, 2021, University of Cambridge.
Methods, D. Skinner, 2015, University of Cambridge.
Methods, by D. Skinner, 2016, University of Cambridge.Fourier Series and Partial Differential Equations, by R. Baker, 2018, University of Oxford.
Differential Equations 1, by J. Dyson, M. Rupflin, P. Grindrod, C. Please, P. Tod, L. Mason, 2020, University of Oxford.
Differential Equations 2, by R. Lambiotte, 2021, University of Oxford.
Integral Transforms, by R. Earl, S. Howison, 2020, University of Oxford.