my mathematics

What Is Applied Mathematics ? { My Personal View

In a word, my answer to the title question is: PROBABILITY. I will attempt to demonstrate this (unfortunately controversial) claim by showing that the scope of probability includes the following topics, mostly of personal interest, among many others, which I know less about. I will present a problem-solving approach to each topic above and will state speciic problems in these areas and then cho...

Introduction to My Book "Essays in Constructive Mathematics"

The point of view of the book derives from Leopold Kronecker (1823-1891), whose views were quite consonant with those of MAP. Kronecker resisted the overthrow of the Aristotelian (and Gaussian) prohibition of completed infinites on the ground that the overthrow was unnecessary. In other words, he committed himself to doing mathematics without completed infinites, basing his work on algorithmic ...

painting and essay competition: my city, my neighborhood

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O-23: "Caring My Family Integrity"

C:\Documents and Settings\Valery\My Documents\Mathematics\Teaching\Olympiad\Olympiad 03\Tests 03 Modified\03testsolutions.dvi

Problem 1. On the picture below (not to scale, adapted from an actual Chinese drawing from 1000 B.C.) the area of the large square ABCD is 25, and the area of the small square A B C D is 1. Find the length of AA. A A B B C C D D