Πλατων και Υπερβατικοι Αριθμοι[Platon and Transcendental Numbers]Mathematics Books[Μαθηματικα Βιβλια]-χ.ν.κουβελης-LITTERATURE-ΛΟΓΟΤΕΧΝΙΑ

.
.
Πλατων και Υπερβατικοι Αριθμοι
[Platon and Transcendental Numbers]
Mathematics Books[Μαθηματικα Βιβλια]-χ.ν.κουβελης

.
.
.

Πλατων και Υπερβατικοι Αριθμοι[Platon and Transcendental Numbers]
Mathematics Books[Μαθηματικα Βιβλια]-χ.ν.κουβελης
.
.
Πλατων και Υπερβατικοι Αριθμοι[
Μαθηματικα Βιβλια]-χ.ν.κουβελης
.
.
''Αλλ'απο ποιας;πειρω ημιν ειπειν ακριβως και ει μη βουλει αριθμειν,
αλλα δειξαι απο ποιας''-[Πλατων :Μενων]
.
''Mathematics, rightly viewed, possesses not only truth, but supreme beauty
— a beauty cold and austere, like that of sculpture''—Bertrand Russell

Transcendental Numbers
-. pi = 3.1415 ...
- e = 2.718 ...
- Euler's constant, gamma = 0.577215 ... = lim n ->infinity> (1 + 1/2 + 1/3 +
1/4 + ... + 1/n - ln(n)) (Not proven to be transcendental, but generally believed
to be by mathematicians.)
- Catalan's constant, G = sum (-1)^k / (2k + 1 )^2 = 1 - 1/9 + 1/25 - 1/49 + ...
(Not proven to be transcendental, but generally believed to be by mathematicians.)
- Liouville's number 0.110001000000000000000001000 ... which has a one
in the 1st, 2nd, 6th, 24th, etc. places and zeros elsewhere.
.
.
.