An introduction to fractional calculus

An Introduction to Goodwillie Calculus

We introduce the main definitions and structural theorems from Goodwillie Calculus. Most of the material in these notes is taken from [3, §§6.1.1–6.1.4]. These notes are rough — use at own risk! Corrections welcome.

An Introduction to Malliavin Calculus

An Introduction to Sociolinguistics

Stochastic Calculus An introduction

Preface This note contains a brief introduction to stochastic differential equations and their application in mathematical finance. It does not pretend to be complete in any respect. The topics of this note are covered in more detail in the course 04445 Statistics in Finance, and the interested reader may consult the adjacent lecture notes [8] or one of the standard texts [9, 4]. Throughout it ...

An Introduction to the Clocked Lambda Calculus

We give a brief introduction to the clocked λ-calculus, an extension of the classical λ-calculus with a unary symbol τ used to witness the β-steps. In contrast to the classical λ-calculus, this extension is infinitary strongly normalising and infinitary confluent. The infinitary normal forms are enriched Lévy–Longo Trees, which we call clocked Lévy–Longo Trees. 1998 ACM Subject Classification D...