Notes to a video lecture on http://www.unizor.com
Who Needs Problems?
Nobody.
Nobody needs problems.
People need solutions.
But how to derive with a solution for a problem that nobody before you had solved?
To answer this really difficult and complicated question is the purpose of Math+ & Problems part of this Web site.
First of all, let's clarify what we mean saying "Math+".
We all know what Math is - a set of subjects like Algebra, Geometry, Combinatorics etc.
Math+ is, basically, all of these and some less typical, unusual, tricky, unexpected aspects of all these subjects, usually presented in a form of problems that require less typical approach to solving them.
The purpose of presenting these less typical and often more difficult problems is to introduce students to thinking outside the box, when it comes to solving problems. This quality will be extremely helpful in practically all aspects of real life.
Stepping outside the usual approaches to solving practical problems is how real progress is achieved.
Math+ & Problems is a training ground for students' minds to develop the ability to invent, find, connect different pieces of information into a solution of important problem.
The problems presented in Math+ & Problems part of this Web site are, mostly, taken from books mentioned in the References page of this site. Major sources are books by Shklyarsky, Yaglom and Chentsov and also from a book by Modenov.
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