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Proof that π is irrational
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51	PUTNAM PROBLEM SOLVING SEMINAR WEEK 5: SUMS AND SERIES ALOK AGGARWAL The Rules. There are way too many problems here to consider. Just pick a few problems you like and play around with them. You are not allowed to try a Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2003-11-10 20:13:12 Combinatorics Number theory Orthogonal polynomials Binomial coefficient Factorial Floor and ceiling functions Fibonacci number Proof that π is irrational Bessel function Mathematics Mathematical analysis Integer sequences
52	PROBLEM SOLVING MASTERCLASS WEEK 3 1. Prove that for n ≥ 2, 2 · 2· Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2003-11-09 15:15:08 Elementary number theory Integer sequences Integer Ring theory Rectangular function Pi Proof that π is irrational Gaussian integer Mathematics Abstract algebra Algebraic number theory
53	PUTNAM PROBLEM SOLVING SEMINAR WEEK 2: LINEARLY RECURRENT SEQUENCES The Rules. These are way too many problems to consider. Just pick a few problems you like and play around with them. You are not allowed to try a proble Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2003-10-27 19:34:24 Recurrence relation Fibonacci number Recursion Characteristic equation Ordinary differential equation Proof that π is irrational Classical orthogonal polynomials Mathematics Theory of computation Algebra
54	Elliptic integrals, the arithmetic-geometric mean and the Brent-Salamin algorithm for π Notes by G.J.O. Jameson Contents 1. Add to Reading List Source URL: www.maths.lancs.ac.uk Language: English - Date: 2013-04-16 11:09:47 Mathematical fallacy Factorial Proof that π is irrational Transcendental number Mathematics Polar coordinate system Valuation
55	The 67th William Lowell Putnam Mathematical Competition Saturday, December 2, 2006 A1 Find the volume of the region of points (x, y, z) such that (x2 + y 2 + z 2 + 8)2 ≤ 36(x2 + y 2 ). Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2007-03-23 15:14:42 Trigonometry Integer sequences Pi Proof that π is irrational Homotopy groups of spheres Mathematics Mathematical analysis Combinatorics
56	Part III - Lent Term[removed]Approximation Theory – Lecture 3 3 Weierstrass theorems (cont.) 3.1 Add to Reading List Source URL: www.damtp.cam.ac.uk Language: English - Date: 2005-01-25 13:43:22 Trigonometry Special functions Fourier series Sine Integral transforms Fourier analysis Proof that π is irrational Non-analytic smooth function Mathematical analysis Mathematics Joseph Fourier
57	http://www.angelfire.com/ab7/fourunit/2010ext2q8hsc-sol.pdf[removed]HSC exam - Mathematics Extension 2 Question 8 Solution by Derek Buchanan Oct. 25, 2010 Add to Reading List Source URL: www.angelfire.com Language: English - Date: 2010-11-14 06:35:37 Calculus Pi Sine Proof that π is irrational Proof that 22/7 exceeds π Mathematical analysis Mathematics Trigonometry
58	http://www.angelfire.com/ab7/fourunit/gwp.pdf Link Between 1995 and 2010 HSC Exams Leads To Generalised Wallis Product by Derek Buchanan January 6, 2011 Add to Reading List Source URL: www.angelfire.com Language: English - Date: 2011-02-02 01:17:00 Elementary mathematics Wallis product Inverse trigonometric functions Sine Pi Proof that π is irrational Trigonometry Mathematics Mathematical analysis
59	1 MATHEMATICS 01. If a line l passes through (k, 2k), (3k, 3k) and (3, 1), k  0 , then the distance from the Add to Reading List Source URL: www.narayanagroup.com Language: English - Date: 2014-05-22 11:52:21 Trigonometry Analytic functions Sine Exponential function Fourier analysis Orthogonal polynomials Proof that π is irrational Solid harmonics Special functions Mathematical analysis Mathematics
60	PROBLEM OF THE WEEK Solution of Problem No. 11 (Fall 2013 Series) Problem: Z ∞ Does 0 Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2013-11-25 16:43:32 Sine Trigonometric functions Pi Mathematical fallacy Proof that π is irrational Fourier series Mathematical analysis Mathematics Trigonometry

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