# All Books

### Proving Irrationality - Mathematics Stack Exchange

8 Sep 2011 There are many proofs of irrationality, and some of them are quite different from each other. The simplest that I know is a proof that log23 is

### The Irrationality of square root of 2 - NASA

Math and Science Resources Teachers Resources Internet Access Research Archive is irrational, ie., it cannot be expressed as a ratio of integers a and b.

### Hata : Improvement in the irrationality measures of $\pi $ and $\pi ^2 $

Project Euclid - mathematics and statistics online. Improvement in the irrationality measures of π and π2. Proc. Japan Acad. Ser. A Math. Sci. 68 (1992), no.

### Maths in a minute: The square root of 2 is irrational | plus.maths.org

10 Nov 2016 The proof of the irrationality of root 2 is often attributed to Hippasus of Metapontum, a member of the Pythagorean cult. He is said to have been

### What are Irrational Numbers? | Number System | Don't Memorise

19 Dec 2014 Watch this video to know more about Rational numbers, Irrational Numbers Arithmetic videos, click here: https://bit.ly/MiddleSchoolArithmetic.

### arXiv:1906.10618v2 [math.GM] 29 Jul 2019

29 Jul 2019 Keywords: Irrational number; Odd zeta value; Closed form formula. 1. Page 2. The Zeta Quotient ζ(3)/π3 is Irrational.

### RESEARCH PROJECTS 1. Irrationality questions - Williams College

n: Absolutely no background math needed, this project is con- cerned with the search for elementary and elegant proofs of irrationality. (2) Irrationality of π2 and

### Irrationality of the square root of 2. - Utah Math Department

Why is the square root of 2 irrational? It was one of the most surprising discoveries of the Pythagorean School of Greek mathematicians that there are irrational

### Irrationality measures for some automatic real numbers

2000 Mathematics Subject Classifiion 11J82 (primary), 11B85 (secondary). Keywords: Automatic sequences, irrationality measures, Padé approximants.

### History of Irrational Numbers | Brilliant Math Science Wiki

Irrational numbers are numbers that have a decimal expansion that neither shows periodicity (some sort of patterned recurrence) nor terminates. Let's look at

### Proving Irrationality - Mathematics Stack Exchange

8 Sep 2011 There are many proofs of irrationality, and some of them are quite different from each other. The simplest that I know is a proof that log23 is

### Numbers: Rational and Irrational (9780883856017 -

It should also likely be read periodically as a refresher of fundamental ideas for any student of mathematics. It is a great edition of fundamental mathematical

### Proof: √2 is irrational | Algebra (video) | Khan Academy

Sal proves that the square root of 2 is an irrational number, i.e. it cannot be into math and they have to do with the properties of numbers and consequences of

### Explicit irrationality measures for continued fractions - ScienceDirect

In particular, our interest is focused on sequences ( a n ) with an upper bound at most ( a n k ) , where a > 1 and k > 0 . In addition to our main target, arithmetic of

### Irrational Numbers - Math is Fun

An Irrational Number is a real number that cannot be written as a simple fraction. Irrational means not Rational. rational vs irrational. Let's look at what makes a

### Irrationality Measure -- from Wolfram MathWorld

Math. 407, 99-125, 1990. Hata, M. "Improvement in the Irrationality Measures of pi and pi^2 ." Proc

### Irrationality of some p-adic L-values - science.uu.nl project csg

Department of Mathematics, University of Utrecht. January 23, 2007. Abstract. We give a proof of the irrationality of the p-adic zeta-values ζp(k) for p = 2, 3 and k

### Proof: √2 is irrational | Algebra (video) | Khan Academy

Sal proves that the square root of 2 is an irrational number, i.e. it cannot be into math and they have to do with the properties of numbers and consequences of

### General proof for irrationality of infinite sums based on Fourier's proof

3 Dec 2016 arXiv:1607.01500v2 [math.NT] 3 Dec 2016. General proof for irrationality of infinite sums based on Fourier's proof. Tomer Shushi. Department

### Illustrative Mathematics

As such, this task perhaps makes most sense after students learn the key terms ( rational and irrational numbers), as well as examples of each (e.g., the irrationality