Vybrané kapitoly z elektrochémie

Danica Studenovská a kol. 

Táto zbierka úloh je určená poslucháčom Prírodovedeckej fakulty UPJŠ, ktorí sa v rámci predmetu Matematika I. zoznamujú s pojmami funkcie, limity, derivácie, integrálu a ich aplikáciami. Ide najmä o študentov nematematických odborov a učiteľských kombinácií, avšak táto zbierka je vhodná aj pre iných študentov a záujemcov o základy matematickej analýzy.

Autori

Michal Jaščur -Michal Hnatič

In the textbook, the processes belonging to an area of  nonequilibrium physics, which make the basis for the study and analysis of compex phenomena  of statistical mechanics, are described. The Boltzmann equation for distribution function is derived and on this basis the hydrodynamic equations are constructed.  Stochastic processes are described separately and Fokker-Planck equation for density probability  is derived. Textbook is intended for the students of second year of master study at Faculty of Science of P. J. Šafarik University.   

Autors

E-book

Gabriela Andrejková - Ľubomír Antoni

Machine learning addresses the issues of how computer programs recognize complex patterns and make decisions based on data. In these university textbooks, we focus on theoretical knowledge in the field of machine learning in which we present the creation of concepts for objects, the preparation of concepts, hypotheses and the process of learning from examples. We describe Boolean formulas and their representations, probabilistic learning, linear and logistic regression, linear modeling and classification. Clustering and the Bayesian approach to machine learning conclude this publication.

University textbooks are intended for students of master's degree programs in computer science.

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E-publication

Jozef Strečka-Katarína Karľová

The proceedings include the programme and abstracts of the workshop Magnetic Cooling and Frustrated Magnetism, held in Košice on October 27–29, 2025. The event is organized with the support of the French National Research Agency (ANR), the Faculty of Science of Pavol Jozef Šafárik University in Košice, and the Slovak Research and Development Agency. The workshop focuses on current challenges in quantum physics, particularly frustrated magnetism and magnetic cooling. Participants will present original research results that may significantly contribute to the development of future quantum technologies.

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Zuzana Orságová Králová (ed.)

The scientific book of abstracts is a summary of the contributions of teachers, scientists and other conference participants, which contain the original results of their scientific and research activities. Their work will be the subject of the next domestic conference "New trends in chemistry, research and education 2019". The conference is a space for dialogue between scientific academics on the one hand and professional staff and students on the other.

The contributions published in this volume can be divided according to content into the field of analytical, inorganic, physical, organic chemistry, biochemistry and didactics of chemistry. All contributions are interesting and can be used in further creative scientific and research work, in the process of education and in practical work.

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Janetta Nestorová Dická

The university handbook Elementals of Population Geography and Demography - Part I, as an introduction to population studies, is primary study material for students of the geography study program, as well as for students of the Information Systems in Public Administration study program at the Pavel Jozef Šafárik University in Košice, but also for the wider public interested in about population phenomena and their spatiality. Among other things, the handbook offers the latest population reports in the world and its regions.

The aim of the handbook is to introduce young geographers to the basics of population research, which includes the most frequently used tools and methods in geographic analysis. The first part of the handbook contains an introduction to the scientific disciplines of population geography and demography with an overview of basic sources of demographic data.

The next part discusses the issue of anthropogenesis, i.e. the development of humans from our ancestors and the spatial spread of humans across our Earth. Part of this part is the recent development of the world population and changes in the size and distribution of the global population over time. The last part analyses how the population is distributed in the world and in relation to the geographical components of the space.

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E-publication

Beáta Valkayed.
Ivana Slepáková-Lenka Maliničová a kol.

The EFFUSE Teacher's Guide is a practical educational material for primary and secondary school teachers who want to develop environmental awareness with their pupils through field-based learning. It is based on the concept of the EFFUSE project (‘Environment for the future by science education’), which aims to link science, research and education with environmental protection. The manual provides teachers with methodological support for planning and implementing outdoor activities aimed at observing and documenting organisms around the Laborec River and the Uh River. It contains instructions for working with real samples, basic biomonitoring procedures and offers the opportunity to participate in the creation of a virtual laboratory that mirrors the state of the local aquatic ecosystem. Through these activities, pupils will learn to understand the links between human activity and the state of the environment, while learning the basics of how scientists work in the fields of biology and ecology. The guide also motivates teachers to become agents of positive change, inspire the younger generation to be active and engage the community in conservation. It is a challenge and an opportunity to create a space for meaningful learning in line with current trends in environmental and digital education.

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Jozef Bednarčík

Crystallography deals with discerning the arrangement and bonding of atoms in crystalline solids. Almost immediately after their discovery, X-rays began to be used to study the internal structure of substances.

The first chapter of this textbook deals with the basic concepts of crystallography. At the beginning, crystalline solids are characterized. In the next section, the basic types of bonds and their characteristics are briefly presented. The main subject of this chapter is the interpretation of basic concepts such as symmetry operations, translational periodicity, grid, elementary cell. Spatial lattices and crystal systems are presented. At the end of this chapter, attention is paid to the description of individual types of defects in crystal structures. In the second chapter, the Bohr model of the hydrogen atom is presented. Individual quantum numbers and their meaning are given.

Next, energy levels and allowed transitions within an atom with multiple electrons are described. The second chapter concludes with the characterization of the basic absorption and emission processes. The third chapter is devoted to the production of X-ray radiation and its properties. Sources of X-ray radiation and a description of their operation are presented.

Interaction of X-ray radiation with matter, absorption and detection of X-ray radiation are the subject of the last part of this chapter.

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Michal Hnatič - Tomáš Lučivjanský

This textbook is primarily intended for first-year master's degree students at Pavol Jozef Šafárik University in Košice, especially those in the nuclear physics, subnuclear physics, and theoretical physics programs. For many years, these lectures were taught by one of the authors at this university, and naturally, over time, there arose an effort to provide these lectures to students in printed form.

In this textbook, we will focus mainly on classical field theory, its quantization based on the operator approach, and the introduction of interactions. Descriptions based on functional integration, Feynman diagram techniques, and more advanced parts will be covered in a subsequent volume of the textbook. In this context, we want to emphasize that in many modern quantum field theory textbooks, the operator approach is used to a lesser extent and is replaced by the approach using (functional) path integrals.

This is probably due to time considerations, as the functional approach leads much faster to practical calculations. On the other hand, we believe that the operator approach is better from a pedagogical point of view. It is much closer to the traditional quantum mechanics course, which is often based on the Schrödinger or Heisenberg formalism. Therefore, students can much more easily follow the flow of ideas that led to the construction of quantum field theory and its fundamental concepts.

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Jozef Strečka - Hana Čenčariková - Andrej Gendiar (eds.)

The proceeding involves programme and abstracts of Workshop on Quantum Magnetism: Theoretical Challenges and Future Perspectives, which was held on June 7th – June 8th, 2019, in Košice, Slovakia.

The workshop is organized by Faculty of Science of Pavol Jozef Šafárik University in Košice and Institute of Experimental Physics of Slovak Academy of Sciences in Košice under the financial support of Slovak Research and Development Agency.

The main conference topics are devoted to state-of-the-art problems of Quantum Theory of Magnetism inncluding molecular magnetism, highly frustrated magnetism, magnetic phase transitions, quantum spin liquids, strongly correlated systems, exotic quantum states, flat-band systems and quantum entanglement.

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Stela Csachová - Ján Kaňuk - Alena Gessert - Ladislav Novotný - Štefan Gábor - Jozef Šupinský

This book addressed the inquiry-based learning and teaching with the support of geospatial technologies. Today, geospatial technologies are influencing geography teaching learning, particularly in secondary education. Theoretical framework gives the reader the insight to inquiry-based learning, with special focus on inquiry in geography. The one-by-one step of inquiry is analysed in detail. The major part of the book presents the eleven models of geography lessons, representing the subject content of physical, human and regional geographies, various levels of inquiry and use of different geospatial technologies. The readers are acquainted with the use of geographic information system (particularly Google Earth and ArcGIS online), web portals, webGIS, open data, mobile applications and new forms of 3D cartographic visualisation (virtual reality, 3D print, dynamic 3D map) in teaching geography. The lesson models were tested with the students to be geography teachers in school year 2021/2022. This books serves as resource mainly for undergraduate teacher students and in-service geography teachers.

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Karel Saksl

The aim of these study texts is to provide students in the second and third levels of higher education with specific guidance on processing 2D diffraction data, performing phase analysis from X-ray diffraction data, and refining microstructural parameters of identified phases using the Rietveld refinement method.

This guide is designed in the form of real-world tasks from materials research and leads the reader step by step through the processes of processing, evaluating, and interpreting the measured data. For this purpose, freely accessible programs such as Fit2D, QualX, POV-Ray, and GSAS II will be used, as well as a freely downloadable commercial program (Diamond) that allows for task execution in demonstration mode. Phase analysis will be conducted exclusively using the freely distributable crystallographic database Crystallography Open Database (COD).

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Ľubomír Antoni-Stanislav Krajči

An important part of theoretical computer science is the problem of Turing machines. This computational model has two basic properties: like any other computational program, the software of a Turing machine is composed of instructions, but in its case they are all of a single type. Every other (so far known) computer program can be transformed into a Turing machine program without loss of information. While the second feature reduces the question of what a calculator cannot do to the question of what a Turing machine cannot do, the first feature allows a much simpler investigation of such a question. Using this computational model, we can thus find concrete problems that no automaton can ever deal with (perhaps the most famous is the problem of the Turing machine stopping). Their existence demonstrates the fundamental limitations of (not only ideal) computational means, and thus encourages both criticality and humility in our thinking.

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Erik Sedlák - Rastislav Varhač -  Patrik Danko - Helena Paulíková - Dušan Podhradský

The presented scripts were created in an effort to update and especially clarify the tasks that are solved in the basic practical exercises in biochemistry students of the 2nd and 3rd year of the bachelor's degree in chemistry, biology and their combinations with other disciplines. Most of the tasks come from the original scripts "Podhradský, Mihalovová: Praktické cvičenia z biochémie, Košice 1989".

Some of them have been modified to a greater or lesser extent and adapted to current conditions in the laboratory. New tasks were also added, such as those dedicated to nucleic acids. The scripts are thematically divided into six separate units, each of which consists of several tasks. The names of the units correspond to the nature of the biomacromolecules, which form their central theme. Theoretical introductions at the beginning of the unit are newly constructed and their main goal is to provide a brief overview of the basic biochemical methods used in the study of biomacromolecules.

These scripts are intentionally only available in electronic form. The reason is the effort to continuously update and modernize individual tasks according to the changing possibilities of our laboratory. We hope that the scripts will fulfill their role and that students will have sufficient theoretical knowledge and practical skills in the field of basic biochemical methods after completing these laboratory exercises.

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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.

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E-book

Juraj Černák

A significant part of inorganic chemistry is coordination chemistry, which deals with coordination compounds. Coordination compounds are numerous because they arise from the combination of central atoms, mostly metals, with ligands, and every organic compound is a potential ligand. This is confirmed by a recent report that American scientists M. Brookhart, C. Schauer, and their colleagues from universities in North Carolina and Washington described the preparation of a rhodium complex with methane as a ligand.

This textbook is based on the long-term experience of the author in teaching and testing this subject. The subject is well-covered in several textbooks of varying difficulty in English; their partial list can be found by readers in the list of used literature at the end of this textbook. On the other hand, in Slovak language, coordination chemistry issues are only marginally covered in several textbooks focused more on general inorganic chemistry but lack a comprehensive view on this topic. From this follows the goal of this proposed textbook - to cover the lack of study literature in this area for Slovak language.

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