background material

Here you can find a variety of mathematical texts of varying difficulty. At the top you find the “snapshots of modern mathematics from Oberwolfach” project. This includes short texts written by researchers visiting the Mathematisches Forschungsinstitut Oberwolfach and edited by a dedicated team of editors. Further below, we provide a range of texts, of varying difficulty, i.e quite technical mathematical texts, but also philosophical texts. The catalogues of the exhibitions, as well as material for schools is also freely available for download. We hope you enjoy your read! 

Snapshots of modern mathematics from Oberwolfach

Statistics and dynamical phenomena
Howell
Tong
CC BY-NC-SA

A friend of mine, an expert in statistical genomics, told me the following story: At a dinner party, an attractive lady asked him, “What do you do...

Arrangements of lines
Brian
Harbourne
,
Thomas
Szemberg
CC BY-NC-SA

We discuss certain open problems in the context of arrangements of lines in the plane....

What does ">" really mean?
Bruce
Reznick
CC BY-NC-SA

This Snapshot is about the generalization of “>” from ordinary numbers to so-called fields. At the end, I will touch on some ideas in recent...

The ternary Goldbach Problem
Harald
Helfgott
CC BY-NC-SA

Leonhard Euler (1707–1783) – one of the greatest mathematicians of the eighteenth century and of all times – often corresponded with a friend of...

Matrixfaktorisierungen
Wolfgang
Lerche
CC BY-NC-SA

Im Folgenden soll ein kurzer Abriss des Themas Matrixfaktorisierungen gegeben werden....

Dirichlet Series
John E.
McCarthy
CC BY-NC-SA

Mathematicians are very interested in prime numbers. In this snapshot, we will discuss some problems concerning the distribution of primes and...

Mathematical background material

Geraden, Kurven und Kuspen
Duco van Straten
Licence CC BY-NC-SA

The algebraic geometer Duco van Straten, Johannes Gutenberg-University Mainz, Germany gives a beautiful short introduction into the field of algebraic geometry - from lines, curves to cusps. It shows many pictures and also links its content to historical events and applications.

German
How to make an IMAGINARY Exhibition - Bridges 2013 Paper
Sebastian Uribe
Susanne Schimpf
Andreas Daniel Matt
Licence CC BY-NC-SA

This paper presented at the BRIDGES conference 2013 provides a brief overview of the main steps needed for organizing a math art exhibition. As IMAGINARY visited more locations, we realized the need for providing some hints and advice based on the experience of former exhibitions. Our goal is to motivate you to make your own exhibition and to contribute to the IMAGINARY platform with your own exhibits.

English
Martmatics
Fernando Corbalán
Julian Pfeifle, Elena Biaín, Melissa Valdés
Base Digital
Licence CC BY-NC-SA

Martmatics is a project to show how Mathematics and Art have been related to each other throughout history and how they are still linked today. There are many bonds and the authors have chosen the most attractive and significant ones. You will find a brochure and also an activity book with excercices to accompany the examples from the brochure.

English
English
IMAGINARY Worksheets for Schools
Maria Alberich
Jordi Buendía
Ferran Dachs
Anna Sabater
Emilio José Sánchez
Licence CC BY-NC-SA

A collection of IMAGINARY worksheets for school children. The worksheets are of different levels of difficulty, aimed at children and teenagers aged between 5 and 17 years. The material has been developed for the IMAGINARY exhibitions in Spain and was awarded with a prize of the Initiative “Ciencia en Acción” 2012

For more information, visit http://imaginary. fme. upc.edu.

English
Spanish
Catalan
A Different Way to Read Off the Time – a New Idea for a Binary Clock
Jörg Pretz
Licence CC BY-NC-SA

A new idea for a binary clock is presented: It displays the time using a triangular array of 15 bits.

English
Didactical Guide Zaragoza
Alexander Aginagalde Nafarrate
Pedro Alegría Ezquerra
Raúl Ibáñez Torres
Álvaro Lozano Rojo
Marta Macho Stadler
Licence CC BY-NC-SA

Didactical guide to the IMAGINARY exhibition

Spanish
School Taskbook: From 5 to 15
Vladimir Igorevich Arnold
Victor Goryunov
Sabir Gusein-Zade
Licence CC BY-NC-SA

The taskbook for school students by renowned Russian mathematician Prof. Vladimir Igorevich Arnold. You can find the original Russian version as well as an English translation.

Russian
English
German
Spanish
Vietnamese
Italian
Didactical Guide Bilbao
Alexander Aginagalde Nafarrate
Pedro Alegría Ezquerra
Raúl Ibáñez Torres
Álvaro Lozano Rojo
Marta Macho Stadler
Licence CC BY-NC-SA

Didactical guide to the IMAGINARY exhibition

Euskera
Planet, Mathematical and Population Dynamics
Philippe Etchecopar
Licence CC BY-NC-SA

Different models of population dynamics

English
French
The Art of an Algebraic Surface
Andreas Daniel Matt
Anna Hartkopf
Licence CC BY-NC-SA

A short paper to present the artistic side of algebraic surfaces made with the SURFER program. Article written for the VISMATH Book, Hungary 2012.

English
Parallax Measurement
Tine Golez
Licence CC BY-NC-SA

An introduction to parallax measurement

English
SURFER – Some Ideas for the Classroom
Andreas Daniel Matt
Licence CC BY-NC-SA

Some ideas how to use SURFER at school

German
Resolution of Singularities
Herwig Hauser
Licence CC BY-NC-SA

A short introduction to singularity theory for everybody - without equations.

German
Solid Möbius Strips as Algebraic Surfaces
Stephan Klaus
Licence CC BY-NC-SA

How to make a Möbius strip with SURFER.

English
Glances at Infinity
Jürgen Richter-Gebert
Licence CC BY-NC-SA

Survey article on symmetries and chaos

German
Solid Trefoil Knot as an Algebraic Surface
Stephan Klaus
Licence CC BY-NC-SA

How to make the trefoil knot with SURFER

English
World record surfaces
Oliver Labs
Licence CC BY-NC-SA

Introduction to surfaces with many singularities

German