Analysens.Grunder.Bevis[2009][Swe]-PAXINUM.pdf

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.

coamoeba.nb

CoamoebaPlot.nb

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

Determinant.Recurrence.pdf

Eigenpolynomials[2009]Beamer[Eng]-PAXINUM.pdf

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

Flamethyst[2011][Source]-PAXINUM.rar

This is my java implementation of the Flame fractal algorithm, originally developed by Scott Draves. It is similar to Apophysis, but no GUI. It features gradients, post-transforms and gamma correction among other things.

Hence this is mainly for (java)-programmers interested in getting started with fractal programming.

Fractals[2009]Beamer[Eng]-PAXINUM.pdf

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

Klassiska.Fraktaler[2009][Swe]-PAXINUM.pdf

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. The text is mainly aimed at undergraduate students or fractal artists that want to get some mathematical insight on the classical algorithms.

Linear.Algebra[2009][Swe]-ALEXANDERSSON.pdf

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.

Linear.Algebra[2009][Swe]-PAXINUM.pdf

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.

Matematik.Tips.Och.Trix[2008][Swe]-PAXINUM.pdf

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

Mathematica[2011]Beamer[Eng]-PAXINUM.pdf

This is a short beamer presentation on Mathematica, highlightning some useful functionsa and practices. Aimed for grad students, with $\epsilon$ prior experience of Mathematica.

Paxibubble[PC][Linux]-PAXINUM.rar

A puzzle game i have written in Java.

Paxiflame[2009]JavaSource[Eng]-PAXINUM.tar

This is my java implementation of the Flame fractal algorithm, originally developed by Scott Draves. It is similar to Apophysis, but no GUI. It features gradients, post-transforms and gamma correction among other things.

Hence this is mainly for (java)-programmers interested in getting started with fractal programming.

recursiondata_mathoverflow_87463.pdf

Rekursion[2009][Swe]-PAXINUM.pdf

A short introduction on recursion, mainly examples.

schroedinger.1.2.m

A Mathematica package for applying monodromy actions to certain graphs. (See my licentiate thesis).

StokesLinesPlot.nb

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

Studieteknik[2009][Swe]-PAXINUM.pdf

This is a general study guide mainly aimed for high-school students. I've got some positive reactions:

"Läste nyss din text där du tipsar om studieteknik. Mycket bra och jag uppskattar verkligen personer som dig, personer som vill dela med sig av det goda. Jag hoppas att detta skall komma att hjälpa mig i framtiden."

taraimages.tar

Wire.Trees.Tutorial[2010][Eng]-PAXINUM.pdf

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