December 3, 2021

Analysis I

In these lectures I aim at providing the students with a mathematical basis to understand general relativity from a geometric standpoint. The online videos are a summary of lectures which took place in the academic year 2021-2022.
This first series of lectures introduce analysis I. The material that I explain on the videos is mostly profiting from “Analysis I.” Third edition, by Terence Tao. Texts and Readings in Mathematics, 37. Hindustan Book Agency, New Delhi, 2014. xviii+347 pp. ISBN 978-93-80250-64-9 but also from others, such as “Mathematical Understanding of Nature”, by Arnold.

01 – The natural numbers 1/2 – (59′)

02 – The natural numbers 2/2 – (47′)

03 – Mathematical logic 1/2 – (1h05′)

04 – Mathematical logic 2/2 – (1h04′)

05 – Axiomatic set theory 1/X – (59′)