Per Alexandersson

A variety of mathematics

Documents and files

You may download and redistribute all files below in their original form. They may not be used for any commercial purposes. Any other use requires my personal authorization.

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Analysens Grunder Bevis

Analysens.Grunder.Bevis[2009][Swe]

These are proofs of the theorems in the course "Analysens grunder". These were written during my undergraduate studies, and I'll take no responsibility for errors, failed exams, broken hearts or brain trauma caused by this text.

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CoamoebaPlot

CoamoebaPlot[2010]

This notebook contains two functions for plotting coamoebas of polynomials in two variables. See this page for a brief intro and examples.

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Eigenpolynomials

Eigenpolynomials[2009][Beamer][Eng]

A brief presentation about one of my research areas. This is about spectral theory.

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Fractals

Fractals[2009][Beamer][Eng]

This is my presentation of flame fractals and midpoint displacement fractals I used on a graduate student seminar.

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GraphsCollatz

GraphsCollatz[2012]
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GraphsGroupActions

GraphsGroupActions[2012]
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Klassiska Fraktaler

Klassiska.Fraktaler[2009][Swe]

This text describes the algorithms behind a number of classical fractals, from the Koch curve to Newton fractals. A detailed description on the flame fractal algorithm is included.

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Linear Algebra II

Linear.Algebra.II[2013][Swe]
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Linear Algebra

Linear.Algebra[2009][Swe]

This is a collection of examples in Linear Algebra, suitable for the first semester course. There are some examples on inductive proofs in the end as well. Please send me suggestions on improvements or typos.

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Matematik Tips Och Trix

Matematik.Tips.Och.Trix[2008][Swe]

This is a guide on study technique, specialized for mathematics at university level.

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Mathematica for Researchers

Mathematica.for.Researchers[2012][Beamer][Eng]

This is a short beamer presentation on Mathematica, highlighting some useful functions and practices. Aimed for grad students, with almost no prior experience of Mathematica.

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Mathematica for Researchers

Mathematica.for.Researchers[2012][Eng]

This is a brief introduction to Mathematica, mainly for researchers.

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Paxibubble

Paxibubble[PC][Linux]

A puzzle game i have written in Java.

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Precision

Precision[2012]
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Rekursion

Rekursion[2009][Swe]

A short introduction on recursion, mainly examples. Aimed towards high-school students.

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StokesLinesPlot

StokesLinesPlot[2011]

This notebook contains a function for plotting Stoke lines, as in this article by A. Gabrielov and A. Eremenko: www.math.purdue.edu/~agabriel/stokes9.pdf

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Studieteknik

Studieteknik[2009][Swe]

This is a general study guide mainly aimed for high-school students.

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Wire Trees Tutorial

Wire.Trees.Tutorial[2010][Eng]

A tutorial on how to make small trees out of wire, which is a nice relaxing hobby.

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Wire Trees Tutorial

Wire.Trees.Tutorial[2010][Eng]

Recommended pages

Mattebloggen

MathOverflow

Contact information

Room 105

Institution of Mathematics

Stockholm University

Phone: 08-16 1435

Email: per@math.su.se

©Per Alexanderson, 2012