Chapter 05

Section 5.6: Groups, Fields, and Real Numbers

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5.6 Outline

  1. Definition of real numbers
    1. definition
    2. decimal representation
      1. terminating decimal
      2. repeating decimal
      3. change fractional form to decimal form
      4. change terminating decimal form to fractional form
    3. real number line
      1. unit distance
      2. number line
      3. dense set
    4. classifications within the set of
… See the whole entry

Section 5.7: Discrete Mathematics

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5.7 Outline

  1. Definition
  2. Clock arithmetic
    1. addition of a 12-hourclock
    2. elementary operations
      1. subtraction
      2. multiplication
      3. zero multiplication
      4. division
  3. Modulo five arithmetic
    1. addition of a 5-hour clock
    2. congruence modulo m
    3. solving modular equations
  4. Group properties for a modulo system
    1. testing group properties
    2. testing
… See the whole entry