Zbierka úloh z matematickej analýzy III.

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Milan Žukovič

This textbook is intended for master's degree students and is a follow-up to the Computational Physics I course studied at the bachelor's level. The content of the textbook Computational Physics II focuses on stochastic methods of solving physical problems, mainly on Monte Carlo (MC) simulation of many-particle systems.

The focus on this computationally intensive approach is motivated by the gradual increase in the computing capacities of ordinary computers as well as the introduction of high-performance computing clusters. This has led to significant progress in the development of new simulation techniques, thanks to which MC simulations have found application in various areas of research and application practice. Considering the main research focus of the department, this text is particularly devoted to the presentation of basic and more advanced MC simulation techniques applied to a simple Ising spin model in order to investigate its magnetic, thermodynamic and critical properties.

The next part is devoted to MC simulations of random processes. It focuses on the simplest but also the most basic random walk process and demonstrates its applications in financial analysis and the solution of a quantum system described by the time-dependent Schrödinger equation. The last part is dedicated to the basics of molecular dynamics, applied to simulating the classical movement of atoms in a given force field. By mastering the problems addressed in this course, students will obtain a potential tool for working out of their diploma theses, or a methodology useful for their further scientific and research practice in the field of investigating of complex systems.

The lectured topic is subsequently exercised in the form of preparing projects implemented in the freely distributable software Octave, which is easy on the user's programming skills and which students have the opportunity to familiarize themselves with in the previous study.

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Ivan Potočňák a kol.

The textbook represents a study literature on the subject of General chemistry, which is a compulsory subject of bachelor courses in Chemistry and Chemistry -  interdisciplinary study, the first year. This textbook contains 15 + 2 chapters in the whole range of 170 pages that follow the content of lectures and by means of examples and theoretical tasks consolidate and extend knowledge gained from lectures.

Igor Hudec - Ľubomír Kováč 

The study course provides the basic knowledge on the fundamental parameters, relationships and processes in ecological sciences. Brief content: ecological factors and relations to environment (air, water, soil); influence of ecological factors upon organisms (morphological adaptations, behavioural responses); populations and communities (external and internal parameters of populations, population dynamics); ecosystems (impact assessment) and biomes (basic features and human impact); cycles (hydrologic, gaseous, sedimentation) of basic elements on Earth.  

Authors

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

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Vladimír Sedlák

In the presented university textbooks, so-called satellite-based augmentation systems (SBAS, from the English Satellite Based Augmentation Systems, in Slovak Systémy rozširujúce základné satelitné systémy) are also discussed. These systems enhance, expand, or refine the basic satellite navigation systems. They are supportive satellite systems for GNSS (Global Navigation Satellite Systems). Currently, the long-operational American GPS and Russian GLONASS systems, as well as the partially operational European Galileo system (since December 2016), have and will continue to have broad applications in various fields of human activity, both professional and personal.

The university textbook Globálne navigačné satelitné systémy (Global Navigation Satellite Systems) reflects the current progressive development in the technological and instrumental principles and components of such satellite navigation systems. It presents the state of these satellite technologies from their historical origins and development to the present. The rapid advancements, particularly in the instrumental base of satellite navigation systems, will require updates on their current state in future editions of these university textbooks.

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Ján Füzer

Auxiliary teaching material for the course General Physics III – Oscillations, Waves, and Optics is intended for students of single-subject and interdisciplinary studies of physics.

The content provides a basic outline of the material covered, without detailed explanations, with an emphasis on the physical method of thinking using the simplest elements of higher mathematics. The presented text does not aim to replace the recommended textbooks, but rather to help students navigate the subject matter. Recommended literature can be found at the end of the text.

The teaching material contains the basic framework of the lectures and is supplemented and revised each year, with lectures enriched by supporting demonstration experiments.

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Kveta Markušová - Daniela Kladeková

Electrochemistry is the science that studies ionic systems and the processes or phenomena that occur at the interface between ionic systems and metals or semiconductors. At the current stage of development, electrochemistry can be divided into two main areas based on its focus. The first one - ionics - deals with the properties of ionic systems (solutions, melts, solid electrolytes). The second area - electrodeics - focuses on phenomena at the electrode/ionic system interface.

Both ionics and electrodeics investigate equilibrium and non-equilibrium phenomena and processes. Research into the properties of ionic systems under equilibrium conditions provides information and insights into the structure and composition of electrolyte solutions, melts, and solid electrolytes, while measurements under non-equilibrium conditions provide data on the electrical conductivity of ionic systems. In the field of electrodeics, the study of equilibria at the electrode/solution (or melt) interface is the domain of electrochemical thermodynamics. Measuring the rates of processes occurring at this phase interface and explaining the principles governing these processes fall under the scope of electrode process kinetics or electrochemical kinetics.

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Ján Kleban a kolektív

Predkladaný pracovný zošit na praktické cvičenia z cytológie je určený poslucháčom 1. ročníka bakalárskeho štúdia biológie a 1. ročníka bakalárskeho medziodborového štúdia v kombinácii s biológiou na Prírodovedeckej fakulte Univerzity Pavla Jozefa Šafárika v Košiciach. Slúži ako návod, ktorý má študentom uľahčiť prácu a umožniť rýchlejšiu orientáciu v zadanej úlohe. Úprava pracovného zošita do formy protokolov umožňuje študentom zakresliť vlastné pozorovanie a tým stimuluje študentov k presnejšiemu a trvalejšiemu zapamätaniu si precvičovanej úlohy a zároveň umožňuje spätnú kontrolu pedagógom. Počas cvičení sa študenti postupne oboznámia so základnými pojmami optiky, s aplikáciami využívajúcimi mikroskopickú techniku, ale aj so základnými rozdielmi medzi štruktúrou rastlinnej a živočíšnej bunky a ich organelami.

Mária Reháková 

Vysokoškolský učebný text určený pre poslucháčov vyšších ročníkov z bioanorganickej chémie. Štúdium bioanorganickej chémie si vyžaduje vedomosti z predchádzajúcich chemický disciplín nižších ročníkov - všeobecnej, anorganickej, organickej, fyzikálnej chémie a biochémie.

Autorka

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Jozef Kováčik

These "Exercise Manuals" present a concise overview of commonly used methodologies as well as progressive techniques, such as the use of liquid chromatography and fluorescence microscopy. Individual tasks were selected based on the research focus of the Department of Botany at the Faculty of Science, Pavol Jozef Šafárik University in Košice, particularly in the context of "stress physiology."

Some tasks can also be utilized within the subject "Plant Ecology." Chamomile (Matricaria chamomilla) is typically used as a model plant for individual tasks due to its long-standing history of research at the Department of Botany and its ease of cultivation under laboratory conditions. The chapters also briefly discuss the significance of monitored parameters, principles of their determination, and metabolism (formation or degradation), aiming to indicate their mutual context.

This approach highlights that determining an individual parameter cannot provide a general explanation for the overall causes and impacts of observed changes; however, it can serve as a basis for testing hypotheses at the level of other parameters.

For deeper study of specific issues, there is an abundance of high-quality international monographs and review articles available.

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Terézia Kisková - Stanislav Matéffy - Františka Horváthová

The laboratory rat (Rattus norvegicus) is one of the most commonly used experimental animals. It serves as a model organism for analyzing numerous biological processes and pathological mechanisms, such as cardiovascular diseases, metabolic disorders (e.g., lipid metabolism, diabetes mellitus), neurological and neuropsychiatric conditions (e.g., stroke, epilepsy, or Alzheimer's disease), neurobehavioral research, autoimmune diseases (e.g., arthritis), cancer, and renal diseases. It offers many unique advantages for modeling human diseases, testing drugs and natural substances, and studying responses to environmental factors. The size of the laboratory rat, compared to the mouse, creates ideal conditions for physiological manipulations. Additionally, rats are used in clinical toxicology to test chemical substances (Hedrich, 2000).

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Martin Orendáč

The textbook is designed to prepare students who will engage in the experimental study of the properties of condensed matter. It demonstrates that a contemporary experimental physicist must not only possess sufficiently detailed knowledge of the physical processes occurring within the object under study but also understand the methods for creating the experimental conditions in which the experiment is conducted. Active knowledge of the functioning of the entire experimental setup can be of fundamental importance in the implementation or potential modification of the measurement methodology used.

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Rastislav Varga

The movement of domain walls in ferromagnetic materials is utilized in various magnetic devices for storing, processing, or transmitting signals and information. This mainly includes transformer cores, various sensors, memory devices (e.g., HDDs in PCs), as well as modern spintronic devices such as Racetrack memories, domain wall motion-based electronics, and so on.

This book is intended to serve as a textbook for advanced courses in the field of magnetic materials. It is primarily aimed at students interested in studying magnetic materials, as well as professionals from various fields who wish to understand the basics of domain structure and its changes. It is divided into nine chapters. The first chapter deals with a brief history of the study of domain structure in magnetic materials. The second chapter provides an introduction to the causes and manifestations of magnetic anisotropies. The third and fourth chapters are devoted to the causes of domain structure formation and domain walls. The fifth chapter discusses the structure of domain walls, their potential, and the critical field required for domain wall movement. The sixth chapter is dedicated to magnetization processes, one of which - domain wall movement - is discussed in detail in chapter 7. The eighth chapter contains a theoretical solution for domain wall movement. The final ninth chapter presents a modern method of domain wall movement induced by electric current.

The presented work assumes that the reader has at least basic knowledge in the field of magnetism. Otherwise, the author refers the reader to basic literature (e.g., [2.1 - 2.6]).

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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

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Dušan Barabas - Alena Labunová

These study materials aim to provide basic information about biogeographical issues from a geographical perspective, i.e., a perspective focused primarily on the aspect of spatial differentiation of the biosphere. The basis for the division of the biosphere is its historical development, during which individual taxa and communities were formed.

The historical development of the biosphere did not occur under stable, constant conditions, but rather in ever-changing conditions caused by the position of our planet within the solar system, the position of the Earth's axis relative to the ecliptic, and also the position of the solar system within the galaxy. All changes in the Earth's position, together with the movement of continents (drift) and climate changes, created the prerequisites for the spatial expansion of the biosphere. The historical development of the biosphere, various perspectives, the hierarchical level of differentiation, and the causes of differentiation are incorporated in this study material, whose aim is to outline the basic principles of this division.

The goal is also to highlight certain differences in the understanding of terminology, as well as to point out some fundamental relationships operating within the landscape system in the broadest sense of the word. The section devoted to the ecological principles of the functioning and formation of the landscape system, according to MIČIAN and ZATKALÍK (1984), outlines the issues of understanding the terms ecosystem and geosystem. For this reason, the presented text includes chapters that attempt to explain the understanding and approach to some basic concepts.

These study materials are intended for students of single-subject, interdisciplinary, and supplementary studies as basic teaching material. By expanding the knowledge from this study material with further information, which is elaborated in more detail in the literature listed in the bibliography of this text, graduates will gain a comprehensive view of biogeographical issues.

Authors

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Miroslav Almáši  Nikolas Király   eds.

The conference proceedings of Porous Materials for Environmental Applications 2026 represent a collection of scientific and professional contributions presented at the international scientific conference held on 15–19 March 2026 in Białka Tatrzańska (Poland). The conference focused on current trends in the research of porous materials and their applications in environmental, catalytic, energy-related, and biomedical fields. The event provided an interdisciplinary platform for the exchange of the latest scientific knowledge in the design, synthesis, characterization, and practical utilization of porous materials.

Particular attention was devoted to their application in adsorption and separation processes, heterogeneous catalysis, photocatalysis, energy storage and conversion, as well as in biological and medical applications. The published abstracts reflect current challenges related to sustainable development, green technologies, and advanced materials solutions. The proceedings offer a comprehensive overview of the current state of porous materials research at the international level and document the dynamic development of this field with significant overlap into environmental chemistry, materials science, and chemical engineering.

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