Contents

• Introduction
  • Why a list of Frequently Asked Questions?
  • Frequently Asked Questions in Mathematics?
• Fundamentals
  • Algebraic structures
    • Monoids and Groups
    • Rings
    • Fields
    • Ordering
  • 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 ...