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Category: stories

nostalgia

Unlike the
cooler people out there, I haven’t received my
_pre-ordered_ copy (via AppleStore) of Tiger yet. Partly my own fault
because I couldn’t resist the temptation to bundle up with a
personalized iPod Photo!
The good news is that it buys me more time to follow the
housecleaning tips
. First, my idea was to make a CarbonCopyClooner
image of my iBook and put it on the _iMac_ upstairs which I
rarely use these days, do a clean
Tiger install
on the iBook and gradually copy over the essential
programs and files I need (and only those!). But reading the
macdev-article, I think it is better to keep my iBook running Panther
and experiment with Tiger on the redundant iMac. (Btw. unless you want
to have a copy of my Mac-installation there will be hardly a point
checking this blog the next couple of weeks as I intend to write down
all details of the Panther/Tiger switch here.)

Last week-end I
started a _Paper-rescue_ operation, that is, to find among the
multiple copies of books/papers/courses, the ones that contain all the
required material to re-TeX them and unfortunately my _archive_
is in a bad state. There is hardly a source-file left of a paper prior
to 1999 when I started putting all my papers on the arXiv.

On the other hand, I do
have saved most of my undergraduate courses. Most of them were still
using postscript-crap like _epsfig_ etc. so I had to convert all
the graphics to PDFs (merely using Preview ) and
modify the epsfig-command to _includegraphics_. So far, I
converted all my undergraduate _differential geometry_ courses
from 1998 to this year and made them available in a uniform
screen-friendly viewing format at TheLibrary/undergraduate.

There are two
ways to read the changes in these courses over the years. (1) as a shift
from _differential_ geometry to more _algebraic_ geometry
and (2) as a shift towards realism wrt.the level of our undegraduate
students. In 1998 I was still thinking
that I could teach them an easy way into Connes non-commutative standard
model but didn’t go further than the Lie group sections (maybe one day
I’ll rewrite this course as a graduate course when I ever get
reinterested in the Connes’ approach). In 1999 I had the illusion that
it might be a good idea to introduce manifolds-by-examples coming from
operads! In 2000 I gave in to the fact
that most of the students which had to follow this course were applied
mathematicians so perhaps it was a good idea to introduce them to
dynamical systems (quod non!). The 2001 course is probably the
most realistic one while still doing standard differential geometry. In
2002 I used the conifold
singularity and conifold transitions (deformations and blow-ups) as
motivation but it was clear that the students did have difficulties with
the blow-up part as they didn’t have enough experience in
_algebraic_ geometry. So the last two years I’m giving an
introduction to algebraic geometry culminating in blow-ups and some
non-commutative geometry.

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neverendingbooks.es

With the
translating help of Juan Cuadra, a shortened version of
this post did
appear in the Spanish newspaper La Voz de Almeria. Juan
graciously send me the whole newspaper, probably hoping to prepare me
for my stay in Granada!

After a
long period of sickness and frantic writing, I may just have the energy
to start blogging again on a regular basis. For starters, I re-opened
this site for (human) comments. Bots will find it hard to enter the
required 6-character code, transcribing the phonetic data. So for
example, if you see something written like ‚”upper-eye six upper-eye
upper-en upper-are three” I hope you will understand that you are
expected to enter the code I6INR3. If you encounter problems with this
plugin, please email
me
.

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writing

A long
time ago Don Passman
told me the simple “secret” for writing books : “Get up and,
before you do anything else, try to write 2 or 3 pages. If you do this
every day, by the end of the year you’ll have a pretty thick book.”

Probably the best advice ever for those who need to get a thesis or book
finished. I’ve managed to live by this rule for several months in a
row (the first half of 2000 leading to version 2 and the winter of 2001-2002
resulting in version 3) and I can recommend it to
anyone in need for some (self)dicipline. It feels just like training,
hard in the beginning but after a couple of weeks you’re addicted.
Also the pitfalls are similar. On certain days you have so much energy
that it is easy to write 10 or more pages (or in the revision process,
to revise 30 or more pages). Don’t do it! Tomorrow you will be
exhausted and you will not be able to do a single page but you will
convince yourself that it is not needed as you did more than enough the
day before. And you’ll feel and say the same thing the day after, and
the next day! and before you realize it you’ll be way behind
schedule. So, rule 1 : do 2 pages mimimun, 3 or 4 if possible but never
more than 5!

Another useful bit of advice comes from
Lewis Caroll’s ‘Through the looking glass’
in which the Red
King says

Start at the beginning, then continue until
you reach the end. Then stop.

Too many bookprojects
never get past the planning stages. It is much more fun to dream up the
perfect book than it is to write the first paragraph. Also, when the
writing on chapter X goes slow, it is tempting to begin with chapter X+1
or any other chapter that seems like more fun, and before you know
you’ll end up with a complete mess (and believe me, I know what I’m
talking about here).

Armed with these two guiding rules I began
the new year writing version pi of my book. (Oh, a marginal note : some
people seem to think that I set up ‘NeverEndingBooks’ to get my
book published. It may surely be the case that I’ll get _a_
book published there, but _the_ book I promised already a long
time ago to the EMS-publishing
house
! So, if you have an interesting bookproject for
‘NeverEndingBooks’ please contact us.) Anyway, the writing goes
slow! I’m already far behind schedule. So far I produced just over 20
pages! Part of the problem is that I want the book to be self-contained
and from past experiences with our ‘masterclass non-commutative
geometry’ I know that this means including a lot of elementary
material (it seems that sudents are eager on entering a masterclass on
non-commutative geometry without knowing the basics of either
non-commutative algebra or algebraic geometry). So. I started out with
believe it or not the definition of matrix-multiplication! But the book
has a pretty steap learning curve, by page 3 I’m already using
Grassmannians to classify left ideals in matrix-algebras! But I was
surprised how long it took me to come up with my own proofs of all this
‘trivial’ material. But the main problem is : lack of motivation.
I’m no longer convinced that one has to write technical books to aid
the younger generation. They are already far too technical!Perhaps it
would be far better to write books helping to develop creativity? But
how? And why are there so few of such books around. In fact, I know of
only one book trying to achieve this : An Invitation to General
Algebra and Universal Constructions
By George Bergman. His chapter 0
‘about the course and these notes’ comes very close to how I would
like to teach masterclass courses or how I’d love to write books if
only I’d know how. Perhaps, over the next couple of weeks, I’ll use
this weblog again to write up a micro-course on noncommutative geometry,
some people tell me they begin to miss the mathematics on this
site.

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