معلومات المساق

Course Contents
Fourier Analysis: pointwise convergence and convergence in quadratic mean, topology of metric spaces: convergence, continuity, compactness, connectedness; differentiation of functions of several variables: partial derivatives, rules of differentation, gradient, higher derivatives and Taylor`s theorem in several variables, local extrema, inverse and implicit function theorems, differntial submanifolds, curves in R^n

Literature
K. Königsberger: Analysis 1,2 , Springer
O. Forster: Analysis I & II. Vieweg
H. Heuser: Lehrbuch der Analysis 1, 2, Teubner.
W. Rudin: Principles of Mathematical Analysis, McGraw-Hill

Preconditions
recommended: Analysis 1