I am trying to study a course with course code MTH230 (Elementary algebra and analysis).
The course outline are:
- Set theory
- Cartesian product
- Peano's axiom
- Construction of integers & rational numbers
- Dedekind cut
- Cardinal number
- Bounds of real number
- Division algorithm
- Fundamental theorem of arithmetic G.C.D & E.C.M
Is there any book I can buy that deals with these topics that is full of examples and explanations?