WRAT-2024

The Department of Applied Sciences, Indian Institute of Information Technology Allahabad (IIIT-A) is going to organize an online workshop on Real Analysis and Topology during September 06-08, 2024. This workshop will consist of lectures from experts nationwide followed by tutorial sessions. We also emphasize on the fact that a variety of topics ranging from metric space, sequence, series, such topics based on JAM, GATE and UGC-CSIR NET exams will be covered in this program.

Topics include In This Conference

* Metric spaces, connectedness, compactness, completeness;
* Sequences and series of functions, uniform convergence, Ascoli-Arzela theorem; Weierstrass approximation theorem; contraction mapping principle, Power series;
* Differentiation of functions of several variables, Inverse and Implicit function theorems;
* Lebesgue measure on the real line, measurable functions; Lebesgue integral, Fatou's lemma, monotone convergence theorem, dominated convergence theorem.
* Basic concepts of topology, bases, subbases, subspace topology, product topology, quotient topology, metric topology,
* Connectedness, compactness, countability, and separation axioms, and Urysohn's Lemma