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- New webpage at www.vadimkulikov.org March 24, 2017
- (Ir)rational Behavior of Calculation October 18, 2011
- The Product of Topological Spaces Does Not Obey Cancellation October 12, 2011
- Wild Embeddings October 11, 2011
- Progress October 4, 2011
- Class-metric August 24, 2011
- Intellectual Lazyness August 22, 2011
- Time Limit: One Minute! August 17, 2011
- Douglas Hofstadter: I Am a Strange Loop. August 15, 2011
- 0.999999……=1? (continuation) July 10, 2011
- Walks on Planets July 5, 2011
- 0.999999….. = 1? July 3, 2011
- Prisoners’ problem 6 June 29, 2011
- I am back! June 28, 2011
- A non-associative “group” March 21, 2011
- Why I haven’t blogged March 21, 2011
- Doodling with Fractals and Persistent Worms. January 2, 2011
- Five groups November 23, 2010
- Splitting A Rectangle November 17, 2010
- Sphere November 10, 2010

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# Category Archives: Education

## (Ir)rational Behavior of Calculation

We had the following set of exercises with a group of secondary school students (in Ressun lukio). Assume that a and b are positive real numbers. Then assume one of the following: (i) a and b are both rational (ii) … Continue reading

Posted in Algebra, Calculus, Education, Mathematics, Wednesday Problem
1 Comment

## Intellectual Lazyness

My friend gives private mathematics lessons to young pupils, mostly high school students who need some help in their curriculum math. Here is a story about a student of him. My friend asks him: how much is 5+6? The guy … Continue reading

Posted in Education, Philosophy, Popular
4 Comments

## 0.999999….. = 1?

The question in the title is constantly discussed on web forums and at our department’s corridors; sometimes even by professional mathematicians and is in fact already quite seen and banal. In our department this question is often raised by the … Continue reading

Posted in Calculus, Education, Mathematics, Philosophy, Popular
5 Comments

## The Most Important Relation In Mathematics 1

Part 1: Basics In this and few following posts I will argue that not only in mathematics, but in all human reasoning, the role of equivalence relations is crucial. The notion of an equivalence relation is the key to any … Continue reading

Posted in Education, Foundations, Mathematics, Philosophy
3 Comments

## Tips to Young Mathematicians

I read the article “Advice to a Young Mathematician” written by five authors Sir Michael Atiyah, Bela Bollobas, Alain Connes, Dusa McDuff and Peter Sarnak. In the following I summarize in eight clauses what I found useful and what was … Continue reading

Posted in Book & Article Reviews, Education
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