Notes on Numbers

  1. Natural
    1. Addition and multiplication
      1. Associative, commutative and distributive laws
      2. Powers
    2. Divisibility and prime numbers
      1. Infinitely many primes
      2. Fundamental theorem of arithmetic
    3. GCD, LCM and division with remainder
      1. Greatest common divisor
      2. Least common multiple
      3. Division with remainder
    4. Sequences and series
      1. Sum of Natural numbers
      2. Arithmetic progressions
      3. Polygonal numbers
      4. Sum of triangular numbers
      5. Sum of square numbers
      6. Faulhaber's formula
      7. Pascal's triangle
      8. Fibonacci numbers
  2. Integer
    1. Integer section 1
    2. Integer section 2
  3. Rational
    1. Rational section 1
    2. Rational section 2
  4. Real
    1. Real section 1
    2. Real section 2
  5. Hyperreal
    1. Hyperreal section 1
    2. Hyperreal section 2
  6. Complex
    1. Complex section 1
    2. Complex section 2
  7. Hypercomplex
    1. Hypercomplex section 1
    2. Hypercomplex section 2
  8. Quaternion
    1. Quaternion section 1
    2. Quaternion section 2
  9. Hyperquaternion
    1. Hyperquaternion section 1
    2. Hyperquaternion section 2