MVA200, Perspectives in Mathematics, Autumn 17

Latest news


On Wednesday Dec 13, there are 3 presentations : Embla, Mikael and John.

On Thursday Dec 14  and Dec 18 we have two extra meetings (not announced on Time Edit): Both take place  15.15-17,  in the usual lecture room (Pascal).

OBS: The meeting on Dec 18 is 14.15-16.15!


The schedule for the course can be found in TimeEdit.

Here are the slides from the first two lectures, mainly about Geometry.

And here are the next set of slides, mainly about linear algebra and Hilbert space.

The third set of slides is about calculus.

The fourth set of slides is about complex analysis and Fourier analysis.


Bo Berndtsson, bob'at'

Course literature

There is no fixed course literature, but we mention two books as general background references:
'Encounter with Mathematics', by Lars Gårding, and
'Mathematics in Technology', by Christiane Rosseau and Yves Saint-Aubin.
The course is planned to consist of two parts, each related to one of the books. The first part will focus on the history of mathematics -- with the emphasis on 'mathematics'. We will follow a few 'threads' in the history of mathematics -- like 'geometry', differential calculus' and 'Fourier analysis' -- and see how they have developed. Most of the material here, in one form or the other, can be found in the book by Gårding.
The second part will focus on how mathematics is used in technology, and here I will follow closely the book by Rosseau and Saint-Aubin, which contains many interesting examples.

Another very good background reference for the part on calculus is V I Arnold's : Huygens and Barrow, Newton and Hooke.



Sections Contents

Recommended exercises


Course requirements

The learning goals of the course can be found in the course plan.


Assignments will be given during the course. They will be in the form of a written account of some topic covered in the course, or a similar topic, and an oral presentation in front of the class. These topics can be either from the history part (like 'from Euclidean to Riemannian geometry'), or from the later part (like 'The Fourier transform and tomography').