Least Upper Bound (Supremum) in an Ordered Set
Suprema and Infima (Sups and Infs) Lie at the Heart of Real Analysis. The Range of Cos(n) is an Interesting Example.
Study Help for Baby Rudin, Part 1.3
Which property separates the
Does the Square Root of Two Exist?
The proof that the square root of two is an irrational number is considered to be one of the most elegant in all of mathematics.
As a formal “If…, then…” statement, it reads: If then is not a rational number. A more informal statement of this is “the square root of two is irrational”.
Rational Numbers
But what is a … Read the rest