DidSci+ Conference 2022 - PROCEEDINGS − Selected Papers

E-book

Katarína Cechlárová

Linear programming belongs to parts of mathematics with the greatest number of real applications. This Slovak-English problem collection provides an overview of basic knowledge in the area, application problems as well as problems to acquire routine in calculations. It is complemented by questions motivating the student to look for further theoretical principles, construct conterexamples  and formulate arguments to explain the studied phenomena.

Download the e-book for free (pdf)

E-book

Ivana Šišoláková - Radka Gorejová - Jana Shepa - Renáta Oriňaková

The university textbook "Advanced Electrochemical Methods" is a teaching aid intended for master's or doctoral students studying electrochemical subjects at the Department of Physical Chemistry, Faculty of Science, Pavol Jozef Šafárik University in Košice.

These textbooks follow and further develop textbooks focused on the basic electrochemical methods currently used in modern research. The presented teaching texts are processed in sixteen clear chapters, where they provide a theoretical principle and derivation of electrochemical processes and mechanisms in individual methods. Teaching texts also consist of practical laboratory exercises, in which students can try out the real application of the studied electrochemical methods.

The practical tasks are focused primarily on the demonstration of research that is carried out at our workplace. Students will be able to try, for example, electrochemical modification of the electrode surface, preparation of electrochemical sensors for the determination of analytes, preparation and characterization of a dye-sensitized solar cell or electrochemical evolution of hydrogen.

Download the e-book for free (pdf)

E-book

Ondrej Krídlo - Gabriel Semanišin

For computer scientists, the constant challenge is to seek efficient algorithms and various technical and implementation possibilities to improve the computational complexity of currently known algorithms. Partial solutions are offered by approaches such as grid-based methods and parallelization of computation. Quantum computers represent a significant but still unfulfilled promise. From a theoretical perspective, probabilistic and approximation approaches provide very effective solutions, and these are the methods we aim to explore in detail.

These electronic university textbooks serve as supplementary materials for the course Approximation and Probabilistic Algorithms. They were developed from the authors' materials and contributions by Prof. RNDr. Viliam Geffert, DrSc., whom the authors thank for providing the manuscript. Acknowledgments also extend to RNDr. Ján Katrenič, PhD., who prepared the first set of exercises for the course, and Žaneta Semanišinová, who reviewed large portions of the text and contributed suggestions for its improvement.

Download the e-book for free (pdf)

E-book

Michal Jaščur

This is a supporting text for the undergraduate students interested in quan- tum theory of magnetism. The text represents an introduction to various theoretical approaches used in this eld. It is an open material, in the sense that it will be supported by appropriate problems to be solved by student at seminars and also as a homework.

The text consists of four chapters that form closed themes of the in- troductory quantum theory of magnetism. In the rst part we explain the quantum origin of the magnetism illustrating the appearance of the ex- change interaction for the case of hydrogen molecule. The second chapter is devoted to the application of the Bogolyubov inequality to the Heisenberg model and it represents the part which is usually missing in the textbooks of magnetism. The third chapter deals with the standard spin wave-theory including the Bloch and Holstein-Primakoff a approach. Finally, we discuss the application of the Jordan-Wigner transformation to one-dimensional spin-1/2 XY model.

The primary ambition of this supportive text is to explain diverse math- ematical methods and their applications in the quantum theory of mag- netism. The text is written in the form which should be sufficient to de- velop the skills of the students up to the very high level. In fact, it is expected that students following this course will able to make their own original applications of the methods presented in this book.

Download the e-book for free (pdf)