Chapter 01: Real numbers, limits and continuity

Contents and summary

• Articles of Exercise 1.1
  • Rational numbers, Irrational numbers, Real numbers, Complex numbers
  • Properties of real numbers, Order properties of R
  • Absolute value or modules of a R
  • The completeness property of R
  • Upper bound, lower bound
  • Real line, Interval
  • Working rule for the solution of inequality
  • Binary relation (B.R), Domain of B.R, Range of B.R
  • Function, Onto or surjective funiton, (1-1) Function, Bijective Function
  • Real valued function, Image of a function, Bracket function
• Articles of Exercise 1.2
  • Finite limit at a finite point
  • Left hand limit
  • Right hand limit
• Articles of Exercise 1.3
  • Continuity