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Essentially nothing found here is original except for a few mistakes and misprints here and there. These lecture notes are based on material from the following books: H. Royden " Real Analysis " , L. Evans and R. Gariepy " Measure Theory and Fine Properties of Functions " , J. Duoandikoetxea " Fourier Analysis " , and M. Pinsky " Introduction to Fourier Analysis and Wavelets " .

This is a very abstract definition, so for the time being the reader may want to focus instead on the notion of open sets within R, which will be developed in the following pages. The family T of open sets in R is the simplest example of topology. Gradually, it will become apparent that this topology is useful for formulating the various notions of limit, and we will see how these limits are us...

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Historians have used university statutes and acts to reconstruct the official astrology curriculum for students in both the arts and medical faculties, including the books studied, their order, and their relation to other texts. Statutes and acts, however, cannot offer insight into what actually happened during lectures and in the classroom: in other words, how and why astrology was taught and ...

Supplemental Course Notes Please note that there are likely many typos in the file. These will be corrected over time. The notes are mainly based on the instructor's lecture notes as well as some references that are particularly acknowledged. Further references will be included in the bibliography. Standard material on probability measures and Markov Chains are available in many texts, and no p...

As digital content is more and more present in our everyday life, universities, by the way of their teachers and course authors, have to be up-to-date by delivering pertinent, accessible and easily-handling courses. To reach this goal, many LMS exist to play online learning objects, but they often remain parody of classical support such as paper version of lecture notes: it appears finally as n...