One of the most exquisite minds of our times shares his insights of how a Mathematician perceives the worlds of Mathematics and Physics.

A *must read* for all ages and all specializations, from students to retirees.

One of the most exquisite minds of our times shares his insights of how a Mathematician perceives the worlds of Mathematics and Physics.

A *must read* for all ages and all specializations, from students to retirees.

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This is to inform the noble audience of the course that the main program of the course is completed. I will stay in Pisa for one more week (till January 8, 2015) and will be happy to discuss any subject (upon request).

Meanwhile one of the subjects discussed in this course was brought to a pre-final form: the manuscript

- Shira Tanny, Sergei Yakovenko, On local Weyl equivalence of higher order Fucshian equations, arXiv:1412.7830,

was posted on arXiv and submitted to the Arnold Mathematical Journal, a new venue for publications molded in the spirit of the late V. I. Arnol’d and his seminar.

Any criticism will be most appreciated. Congratulations modestly accepted.

Tanti auguri, carissimi! Buon anno, happy New Year, с наступающим Новым Годом, שנה (אזרחית) טובח, bonne année!

Carissimi!

This post is to announce the midi-course (about 24 hours) that will be given in November-December in Universita di Pisa. The weekly timetable is as follows,

Lunedi 11-13 Aula 1

Venerdi 9-11 Aula 1.

The course will be based (among other) on several principal sources, all available online. Here are the links:

- Yu. Ilyashenko, S. Yakovenko, Lectures on analytic differential equations, MR2085816 (2005f:34255). Mainly Chapter III and Section 26.
- D. Novikov, S. Yakovenko, Lectures on meromorphic flat connections, In: Normal forms, bifurcations and finiteness problems in differential equations, 387–430, NATO Sci. Ser. II Math. Phys. Chem., 137, Kluwer Acad. Publ., Dordrecht, 2004 (Preprint math.CA/0212334).
- Yakovenko, S. Quantitative theory of ordinary differential equations and tangential Hilbert 16
^{th}problem, Preprint math.DS/0104140 (2001).*On finiteness in differential equations and Diophantine geometry*, CRM Monogr. Ser., vol.**24**, Amer. Math. Soc., Providence, RI, 2005, pp. 41–109, MR2180125 (2006g:34062)

More specialized references will be added in the appropriate posts.

Feel free to leave your questions and comments

Arrivederci!

In the new academic year 2013/4 (Anno 5774, שנה התשע”ד) I will again teach the course “Analysis for high school teachers”. As before, the primary goal of the course is to give the explanation of the fundamental mathematical concepts that often remain concealed behind drilling the “calculus skills”.

This blog will serve a platform for regular upload of the course material (lecture notes, problems for self-control, discussion of relevant issues. The students taking the course (as well as the entire Internet community accidentally hitting these pages) is invited to the interactive discussions. If you have questions, post them. If you have answers to the posted questions, post them even more. If you spotted an error or an obscure place in the lecture notes, – notify me and other people here. Feel free to write in whatever language you feel more comfortable with, – most of the readers are multilingual, though the (simplified) English seems to be the least common denominator.

The previous release(s) of this course are available on this blog under the same tag. The new version will be slightly changed in search of higher clarity, yet you can compare and use whatever like more. Unlike the Scripture, mathematical exposition is by no means canonically endorsed.

Besides these notes, you are invited to read anything you like on the subject. One of the books which I absolutely loved when I was a high school student, is available here (warning: 21 Mb in pdf format, a semi-legal scan strictly for your personal pleasure 😉

I Look forward for your active participation!

A friendly “project” on complex algebraic geometry will be launched by Dmitry Novikov. Meetings are on Sundays, 14:00-16:00 in Room 261. The first meeting is November 11, 2007.

It is highly recommended for all involved in the “project” on Analytic and Geometric Theory of Differential Equations.

For disambiguation see the Disclaimer at the top of this blog.