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From: [email protected] (Alex Lopez-Ortiz)
Subject: sci.math FAQ: Table of Contents
Summary: Part 2 of many, New version
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Archive-name: sci-math-faq/tableofcontents
Last-modified: Apr 04, 1995
Version: 6.2


Contents

    * Contents
    * Introduction
         + Why a list of Frequently Asked Questions?
         + Frequently Asked Questions in Mathematics?
    * Fermat's Last Theorem
         + History of Fermat's Last Theorem
         + What is the current status of FLT?
         + Wiles' line of attack
         + If not, then what?
              o What has been proved
              o 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
         + List of record numbers
         + What is the current status on Mersenne primes?
         + Formulae to compute prime numbers
    * 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?
    * Special Numbers and Functions
         + How to compute digits of pi ?
         + Indiana bill sets the value of pi to 3
         + Euler's formula: e^(i pi) = -1
         + What is 0^0
         + Why is 0.9999... = 1 ?
         + Name for f(x)^(f(x)) = x
    * Names of Large Numbers
    * Unsolved Problems
         + Does there exist a number that is perfect and odd?
         + Collatz Problem
         + Goldbach's conjecture
         + Twin primes conjecture
    * Symbolic Computation Packages
    * Fields Medal
         + Historical Introduction
         + Table of Awardees
    * Famous Problems in Mathematics
         + The Four Colour Theorem
         + The Trisection of an Angle
    * Mathematical Games
         + The Monty Hall problem
         + Master Mind
    * Projective plane of order 10
    * The Axiom of Choice
         + Relevance of the Axiom of Choice
         + Cutting a sphere into pieces of larger volume
    * The Continuum Hypothesis
    * Theory of quaternionic analytic functions
    * Mathematical Oddities
         + Erdos Number
         + Why is there no Nobel in mathematics?
         + Who is N. Bourbaki?
    * Which are the 23 Hilbert Problems?
    * Formulas of General Interest
         + How to determine the day of the week, given the month, day
           and year
         + Formula for the Surface Area of a sphere in Euclidean N
           -Space
         + Formula to compute compound interest.
    * General Bibliography and Textbooks
    * The Sci.Math FAQ Team
    * Copyright Notice







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