Critical articles and essays - 1

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• The Eddington’s number: a case of scientific arrogance?

Computing exactly how many protons are there in a gram of protons is a chimerical task. However, Eddington computed exactly how many protons are there in the Universe!

• One million random digits

Random numbers are useful in many branches of science. Here we have a big table with one million digits.

• Some myths about the infinite

Can you remove an infinite amount of elements from an infinite set and still the set remain infinite?

• Some myths about the infinite, part 2

Are there more fractions than whole numbers? Think again, because there are surprises ahead!

• The Book of Sand of Borges and the Continuum of Cantor

Borges was a master of the infinite, so was Georg Cantor. However, they approached this concept from different points of view.

• Historical quotations about prime numbers

Inductive reasoning can lead to fatal flaws. Here we have a collection of 30 thinkers that erred when applied induction to the prime number series.

• How to use the transcomplex numbers calculator

Transcomplex numbers are ordered pairs of complex numbers. This calculator will help you with the multiplication operation of two transcomplex numbers.

• A short history of the Cartesian coordinates

By the 1600's a battle began toward the "arithmetization" of geometry. An effort was started to raise plane geometry between Pierre Fermat and René Descartes into what we know today as analytic geometry. Who succeeded?

• Can there be different fourth dimensions?

We are said to live in a three dimensional world. But which dimension is the first? Which one is the third, which one the fourth?

• Quaternions and transcomplex numbers

Quaternions are used in some specialized fields of mathematics. Transcomplex numbers are of recent introduction, but quite different from quaternions.

• The imaginary numbers are not so imaginary and the complex numbers are not so complex

Do not be intimidated by esoteric names like "imaginary numbers" and "complex numbers". Both are of human creation; nothing complex, nothing imaginary.

• What are EBooks?

Electronic books, also called EBooks, digital books, and virtual books, are becoming the new and easy way to learn about almost every subject. We have a selected collection of interesting EBooks. What are they? this article is a short introduction to them.