E-book

Valéria Skřivánková - Martina Hančová

The publication is focused on discrete random processes, primarily on Markov chains, which have wide application in the field of economics and finance.

The textbook is divided into five chapters, the first of which serves as an introduction to random processes and provides definition, properties and classification of random processes in general. The second chapter discusses Markov chains with discrete time, including valuation of transitions between states and their optimal management. The third chapter focuses on special Markov chains with continuous time and emphasizes construction and solution to the system of Kolmogorov differential equations, which describe the dynamics of the process development. The last two chapters illustrate applications of Markov chains using examples of queuing system modeling and renewal theory.

Besides the explanation of basic terms, definitions and theorems with proofs, this textbook also provides number of solved examples to illustrate the discussed theory. Problem assignments are placed at the end of each chapter, so that readers can test their understanding of the content as they progress through the book. Solutions to all the problems and the list of references are provided at the end of the publication.

This textbook is primarily intented for students majoring in Economics and Financial Mathematics at the Faculty of Science of Pavol Jozef Šafárik University in Košice, and it covers content of the course “Random Proceses 1“ thought there. It might however serve also students from other schools in similar progams or professionals interested in this topic.

Download the e-book for free (pdf)

E-book

Klaudia Zusková - Alena Buková - Peter Bakalár - Mirianna Brtková - Zuzana Kűchelová - Martina Hančová

In Košice, there are several universities whose students and graduates have the potential to develop themselves and their social environment. Although the current prevalence of overweight and obesity in this part of the Slovak population is not high, early prevention can influence its increased occurrence in higher age categories.

The university provides sufficient space and time for this prevention. It offers the opportunity to explore factors that play a crucial role in weight gain among university students and to propose forms of interventions for creating a healthy lifestyle. One such form was a program focusing on body weight modification, which we introduced into the physical education curriculum for students of various faculties at Pavol Jozef Šafárik University in Košice, even after the grant project ended.

Download e-book for free(pdf)