Latest news
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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!
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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.
Teachers
Bo Berndtsson, bob'at'chalmers.seCourse 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.
Program
Lectures
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Recommended exercises
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Course requirements
The learning goals of the course can be found in the course plan.
Assignments
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').