Until this point in your education, your primary goal in using mathematics has been to compute answers. However, there is another aspect of mathematics that is more theoretical than computational. The mathematical techniques and procedures that you have learned and used up until now may be found on this theoretical side of mathematics. In learning calculus you were probably far more concerned with how a theorem could be applied than in understanding why it is true. But how do we know if it is true? ? Questions of this nature belong to the theoretical nature of mathematical analysis. This course is an introduction to that.
Main goals of the class Analysis 1:
- Gain experience with proofs.
- Prove statements about real numbers, sequences, limits, and functions.
A useful link is the textbook (open access in MIT) : https://www.jirka.org/ra/realanal.pdf
- أستاذ: Mounir Tlemcani