Title: Theory / Unimportant / Math / Number Theory / Hardy - Wright{ / 04 Irrational numbers

Name: An algebraic irrational
Definition: An irational which is the solution of a polynomial with integer coefficient
Page: 46
Chapter: 4
Section: 2

Name: Euler's constant
Definition: \(\lim_{n\to\infty}\left(H_n-\log n\right)\)
Page: 46
Chapter: 4
Section: 2
Context: Analysis
Notation: \(\gamma\)

Question: \(\sqrt 2\) is
Answer: irrational
Page: 47
Chapter: 4
Section: 3
Index: 43
Kind: Theo
Name: Pythagoras's theorem

Smaller0: \(x\in\mathbb N\)
Greater0: \(x\) is irational
Page: 47, 48
Chapter: 4
Section: 3
Variables: \(p\in\mathbb N[x]\),
\(x\) a root of \(p\)
Index: 44, 45
Kind: Theo
Smaller to greater: xor

Smaller0: \(a,b\) have different set of prime divisors
Greater0: irrational
Page: 53
Chapter: 5
Variables: \(a,b\in\mathbb R\)
Index: 46
Kind: Theo
Prefix Greater: \(\log_ab\) is

Smaller0: \(a\) is rational
Greater0: irrational
Page: 53
Chapter: 5
Variables: \(a\in\mathbb R\)
Index: 46
Kind: Theo
Prefix Greater: \(e^a\) is
Extra: a ne 0 ?