.ca!neumann.uwaterloo.ca!alopez-o
Subject: sci.math FAQ: Introduction
Date: Thu, 4 Jan 1996 20:38:40 GMT
Nntp-Posting-Host: neumann.uwaterloo.ca
Url: http://daisy.uwaterloo.ca/~alopez-o/math-faq/math-faq.html

Archive-Name: sci-math-faq/pointers
Version: 7.1

An  upgraded version of the sci.math FAQ is out. Some updates and
corrections were incorporated. 

This latest version is ALSO available for graphic browsers such
as MOSAIC and NETSCAPE as well as in dvi and postscript formats at: 

URL: http://daisy.uwaterloo.ca/~alopez-o/math-faq/math-faq.html

For graphic impaired users, the updates will be made available 
in html text, and posted versions real soon now (like before Friday 12,
Jan 1996).


Contents

     Contents 
     Introduction 
         Why a list of Frequently Asked Questions? 
         Frequently Asked Questions in Mathematics? 
     Fundamentals 
         What are numbers? 
             Introduction 
             Construction of the Number System 
             Construction of N 
             Construction of Z 
             Construction of Q 
             Construction of R 
             Construction of C 
             Rounding things up 
             What's next? 
     Number Theory 
         Fermat's Last Theorem 
             History of Fermat's Last Theorem 
             What is the current status of FLT? 
             Related Conjectures 
             Did Fermat prove this theorem? 
         Prime Numbers 
             Largest known Mersenne prime 
             Largest known prime 
             Largest known twin primes 
             Largest Fermat number with known factorization 
             Algorithms to factor integer numbers 
             Primality Testing 
             List of record numbers 
             What is the current status on Mersenne primes? 
             Formulae to compute prime numbers 
     Special Numbers and Functions 
         How to compute digits of Pi ? 
         Euler's formula e^(i Pi) = -1 :  
         What is 0^0 
         Why is 0.9999 = 1? 
         Name for  f(x)^f(x)=x 
         Some Famous Mathematical Constants 
     Human Interest 
         Indiana bill sets the value of Pi to 3 
         Fields Medal 
             Historical Introduction 
             Table of Awardees 
         Erdos Number 
         Why is there no Nobel in mathematics? 
         International Mathematics Olympiad and Other Competitions 
         Who is N. Bourbaki? 
     Mathematical Trivia 
         Names of Large Numbers 
     Famous Problems in Mathematics 
         The Four Colour Theorem 
         The Trisection of an Angle 
         Which are the 23 Hilbert Problems? 
         Unsolved Problems 
             Does there exist a number that is perfect and odd? 
             Collatz Problem 
             Goldbach's conjecture 
             Twin primes conjecture 
     Mathematical Games 
         The Monty Hall problem 
         Master Mind 
     Axiom of Choice and Continuum Hypothesis 
         The Axiom of Choice 
             Relevance of the Axiom of Choice 
         Cutting a sphere into pieces of larger volume 
         The Continuum Hypothesis 
     Formulas of General Interest 
         How to determine the day of the week, given the month, day and year 
         Symbolic Computation Packages 
         Formula for the Surface Area of a sphere in Euclidean N-Space 
         Formula to compute compound interest. 
     References, General Bibliography and Textbooks 
     The Sci.Math FAQ Team 
         Copyright Notice 
     About this document ... 



alopez-o@barrow.uwaterloo.ca 
Wed Nov 15 18:30:11 EST 1995 




-- 
Alex Lopez-Ortiz                             alopez-o@neumann.UWaterloo.ca
http://daisy.uwaterloo.ca/~alopez-o                     FAX (519)-885-1208
Department of Computer Science                      University of Waterloo
Waterloo, Ontario N2L 3G1                                           Canada

