This classic textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures. The first half of the book gives an ...

From set theory, the course covers (i) what is needed for use in formal reasoning, and (ii) what is of philosophical interest (Russell Paradox, elementary theory of cardinals and ordinals, transfinite ...

We proved that all the usual things are equivalent to the axiom of choice: Zorn’s lemma, the well ordering principle, cardinal comparability (given two sets, one must inject into the other), and the ...

This unit aims to introduce students to fundamental concepts in Mathematics including set theory, techniques of proof and group theory. The first half provides an introduction to logical propositions, ...

This unit aims to to introduce students to fundamental concepts in Mathematics including set theory, techniques of proof and group theory. The first half provides an introduction to logical ...