Introductory Mathematical Analysis.

Introductory notes in analysis

3 Introductory Clifford Analysis

We want in this chapter to regard Clifford algebras as natural generalizations of the complex number system. First let us note that if z is a complex number then zz = ‖z‖. Now for a quaternion q we also have qq = ‖q‖. In this way quaternions may be regarded as a generalization of the complex number system. It seems natural to ask if one can extend basic results of one complex variable analysis ...

Introductory Complex Analysis

Sports Law: Some Introductory Considerations

With the rise of importance of sport as a social phenomenon in recent decades, more public attention has been paid to the issue of the legal nature of the rules governing social relations in sports. The issue raised above are only a part of a much broader topic that involves questions of relations of a classical Westphalian state and changes in the international community as well as issues of t...

Probabilistic Data Analysis; An Introductory Guide

Quantitative science requires the assessment of uncertainty, and this means that measurements and inferences should be described as probability distributions. This is done by building data into a probabilistic likelihood function which produces a posterior “answer” by modulating a prior “question”. Probability calculus is the only way of doing this consistently, so that data can be included gra...