M3M6MethodsOfMathematicalPhysics

KO | EN

gitlite — search

#python #hacktoberfest #react #ai #llm #golang #machine-learning #linux #docker #java #cli #kubernetes #vue #mcp

M3M6MethodsOfMathematicalPhysics

(★ 45)

Lecture notes for M3M6 Methods of Mathematical Physics

M3M6MethodsOfMathematicalPhysics Latest Version Download

Download Latest Version (.zip)

// repository documentation

Was this content helpful?

★ 0 (0 ratings)

# Course material for M3M6 Methods of Mathematical Physics

Office Hours: 16:00-17:00 Mondays during term, Huxley 6M40

## Reading list

1. M.J. Ablowitz & A.S. Fokas, Complex Variables: Introduction and Applications, Second Edition, Cambridge University Press, 2003
2. R. Earl, [Metric Spaces and Complex Analysis](https://courses.maths.ox.ac.uk/node/view_material/5392), 2015

## Problem sheets, exams, and mastery material (2018)

1. [Problem sheet 1](https://github.com/dlfivefifty/M3M6LectureNotes/raw/master/Problem%20Sheet%201.pdf)  [(Solutions)](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Solution%20Sheet%201.ipynb) 
2. [Problem sheet 2](https://github.com/dlfivefifty/M3M6LectureNotes/raw/master/Problem%20Sheet%202.pdf)  [(Solutions)](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Solution%20Sheet%202.ipynb)
3. [Problem sheet 3](https://github.com/dlfivefifty/M3M6LectureNotes/raw/master/Problem%20Sheet%203.pdf) [(Solutions)](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Solution%20Sheet%203.ipynb)

4. [Problem sheet 4](https://github.com/dlfivefifty/M3M6LectureNotes/raw/master/Problem%20Sheet%204.pdf)  [(Solutions)](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Solution%20Sheet%204.ipynb)

5. [Mastery sheet](https://github.com/dlfivefifty/M3M6LectureNotes/raw/master/Mastery%20Sheet.pdf) [(Solutions)](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Mastery%20Solutions.ipynb)

5. Mastery material (Available on Blackboard)

6. [Practice exam](https://github.com/dlfivefifty/M3M6LectureNotes/raw/master/Practice%20Exam.pdf)

## Lecture notes (2018)

Each file is a Jupyter notebook, that can be viewed using the Jupyter Notebook viewer:

1. [Course overview](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%201.ipynb)
2. [Cauchy's theorem](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%202.ipynb)
3. [Cauchy's integral formula and Taylor series](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%203.ipynb)
4. [Trapezium rule, Fourier series and Laurent series](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%204.ipynb)
5. [Residue theorem](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%205.ipynb)
6. [Analyticity at infinity](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%206.ipynb)
7. [Integrals over the real line](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%207.ipynb)
8. [Functions with branch cuts](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%208.ipynb)
9. [Cauchy transforms](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%209.ipynb)
10. [Hilbert transforms](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2010.ipynb)
11. [Riemann–Hilbert problems](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2011.ipynb)
12. [Ideal fluid flow](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2012.ipynb)
13. [Electric charges in a potential well](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2013.ipynb)
14. [Constructing orthogonal polynomials](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2014.ipynb)
15. [Recurrence relationships](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2015.ipynb)
16. [Solving differential equations with orthogonal polynomials](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2016.ipynb)
17. [Differential equations satisfied by orthogonal polynomials](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2017.ipynb)
18. [Orthogonal polynomials and singular integrals](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2018.ipynb)
19. [Logarithmic singular integrals](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2019.ipynb)
20. [Integral equations on the real line](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2020.ipynb)
21. [Laplace transforms](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2021.ipynb)
22. [Integral equations on the half-line and Riemann–Hilbert problems](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2022.ipynb)
23. [Cauchy transforms on the real line](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2023.ipynb)
24. [Riemann–Hilbert problems on the real line](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2024.ipynb)

## Lecture notes (2017)

25. [The Wiener–Hopf method](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2025.ipynb)
26. [Analyticity of solutions of ordinary differential equations](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2026%20(2017).ipynb)
27. [Singular points of ordinary differential equations](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2027%20(2017).ipynb)
28. [Hypergeometric functions](http://nbviewer.jupyter.org/github/dlfivefifty/M3M6LectureNotes/blob/master/Lecture%2028%20(2017).ipynb)

To run the files on your own machine, use the following steps:

1. Download [Julia v1.1](https://julialang.org/downloads/)
2. In Julia, install the necessary packages:
```julia
Pkg.add("ApproxFun")
Pkg.add("Plots")
Pkg.add("GR")
Pkg.add("Plotly")
Pkg.add("PlotlyJS")
Pkg.add("Interact")
Pkg.add("IJulia")
Pkg.add("DifferentialEquations")
Pkg.add("ComplexPhasePortrait")
Pkg.clone("https://github.com/JuliaApproximation/OscillatoryIntegrals.jl")
```
3. Boot-up Jupyter by running in Julia
```julia
using IJulia
@async notebook()
```
4. Download the files and drag and drop (or better yet, use `git` to clone the reposaitory and stay up-to-date).

M3M6MethodsOfMathematicalPhysics

M3M6MethodsOfMathematicalPhysics Latest Version Download

Today's picks

Was this content helpful?

Recent Feedback

M3M6MethodsOfMathematicalPhysics

M3M6MethodsOfMathematicalPhysics Latest Version Download

Today's picks

Was this content helpful?

Recent Feedback

Download README