Zbierka úloh z matematiky pre nematematické odbory

E-book

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.

Download the e-book for free (pdf)

E-book

Jozef Bednarčík (ed.)

The European Magnetic Sensors and Actuators Conference (EMSA) is a consolidated European forum that serves to assess the status, recent progress, and development in the field of magnetic sensor technology and magnetic actuators. It was first held in 1996 in Iasi (Romania) and since then has continued every two-three years in different European cities. The aim of the conference is to generate an overview of research in magnetic sensors and actuators, to recognize their relevance in modern industry and to identify potential future collaborations. EMSA 2024 will provide an excellent opportunity to bring together scientists and engineers from universities, research institutes and industry to present and discuss their most recent results covering both fundamental and applied aspects of magnetic sensors and actuators.

Download e-book for free (pdf)

Matúš Harminc

Učebný text je určený poslucháčom medziodborového štúdia v kombinácii s matematikou, jednoodborového štúdia matematiky ako aj rozširujúceho štúdia matematiky. Je zameraný na základné poznatky o deliteľnosti celých čísel, kongruenciách a aritmetických funkciách.

Autor

E-book

Miroslav Almáši (ed.)

The book of abstracts from the conference "Porous Materials for Environmental Applications 2024" is a collection of contributions of the conference participants, which contain original results of their scientific and research activities. The conference was aimed to share new findings dealing with the preparation, characterization and application of porous materials in environmental fields.

Download the e-book for free (pdf)

E-book

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.

Download the e-book for free  (pdf)

E-book

Miroslava Matiková Maľarová

The university textbook entitled: Host-guest and supramolecular chemistry provides basic information about this scientific field as well as the types of compounds that belong to it. It provides basic characteristics of non-bonded interactions as well as methods of characterization and classification for these compounds. It summarizes knowledge about various types of host-guest systems from the oldest such as Hofmann clathrates to inclusive compounds such as cyclodextrins and calixarenes. In addition to structural and synthetic information, which is supplemented with images, the textbook also addresses the possibilities of application or practical use of compounds. The conclusion of each chapter is supplemented with tasks for elaboration on a given topic.

Download the e-book for free (pdf)

E-book

Adriana Zeleňáková

One of the fundamental characteristics of the magnetic state of ferromagnetic materials is the existence of a domain structure. The university textbook "MAGNETIC DOMAINS: SPECIAL PHYSICAL PRACTICE 1" is intended primarily for students of the Master's programme in Physics of Condensed Matter FKLm and for the PhD programme in Progressive Materials PMd within the profile subject Special Practice 1 at the Institute of Physical Sciences of the Faculty of Sciences of the Pavol Jozef Šafárik University in Košice.  The textbook is divided into seven chapters. The first chapter is devoted to the basics of domain theory, including the history of domain observation and the specification of different types of energies in ferromagnetic body. The second chapter presents the relationship between domain structure and magnetisation processes in ferromagnetic materials The third chapter describes the different types of domain-wall interactions with the defect. The fourth chapter illustrates examples of domain structure in selected ferromagnetic body such as grain oriented and non-grain oriented electrical steels, amorphous and nanocrystalline ribbons. The fifth chapter summarises an overview of the different experimental methods used to visualise the domain structure and their advantages or disadvantages with respect to the structure of ferromagnetic materials. The last two chapters, the sixth and the seventh, are devoted to specific experimental tasks for observing the domain structure of a selected polycrystalline sample using the optical microscope Bitter powder method and the MFM (magnetic force microscopy) method. During the preparation of this undergraduate text, its individual parts were developed using the foreign language literature listed in the recommended references.

Download the e-book for free (pdf)

E-book

Daniela Kladeková

This university text is intended for students of chemical and ecological sciences at the Faculty of Natural Sciences of the P. J. Šafárik University in Košice and is intended to serve as a tool for experimental exercises in colloid chemistry. Colloid chemistry is an important part of the theoretical basis of the chemical sciences and belongs to the newer interdisciplinary fields of natural sciences.

It combines knowledge from physical chemistry, physics and biology, while also drawing on a solid knowledge of mathematics and other scientific disciplines. Experiments are often essential in understanding the problems of colloid chemistry, modelling ideas about the phenomena and laws involved in the discipline. This is why active participation in experimental exercises is so important and essential to mastering the material in colloid chemistry.

In selecting the tasks for these scripts, it was also necessary to respect the considerable limitations imposed by the possibilities of the laboratory instrumentation and material equipment of our department. Despite this limitation, however, they can illustrate to students the basic theoretical physicochemical principles of colloid dispersion systems and, importantly, their understanding can contribute to the understanding of some of the more important peculiarities of colloidal phenomena.

Download the e-book for free (pdf)

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.

 Ľubomír Panigaj - Peter Ľuptáčik 

(Náčrt systému a fylogenézy)

Učebný text je primárne určený pre študentov jednoodborového štúdia biológie a všeobecnej ekológie, ako aj odborom učiteľského štúdia v rôznych kombináciách s biológiou. Venuje sa v nich opisu jednotlivých skupín živočíchov, ich morfológiu a anatómiu ilustruje na obrazových materiáloch. K jednotlivým morfologickým a anatomickým štruktúram sa v texte nevyjadrujeme podrobnejšie, nakoľko text nadväzuje na predmet Porovnávacia morfológia živočíchov, kde na úrovni organológie boli tieto najvýznamnejšie štruktúry v rámci prednášok a cvičení detailne vysvetlené a opísané. Rozsah učebného textu nie je veľký, podávame v ňom základné minimum poznatkov, čo je podmienené jednak rozsahom predmetu, ktorý je len jednosemestrový, jednak tým, že ďalšie, špecializované predmety rozširujú spektrum poznatkov napr. na úrovni entomológie, hydrobiológie alebo pôdnej biológie. V zavere niektorých kapitol formulujeme niekoľko cvičných otázok, ktoré si študenti môžu na základe predchádzajúceho textu zodpovedať, s podobnými otázkami sa totiž môžu stretnúť na skúške alebo na štátniciach.

Autori

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.

Download the e-book for free (pdf)

E-publication

Soňa Király

The Book of Abstracts of The 9th International Conference on Novel Materials Fundamentals and Applications, NFA 2025, contains 46 contributions from the participants of this conference. This congress is primarily focused on novel materials, ranging from theory to practical applications, with the aim of demonstrating how fundamental discoveries can lead to innovative implementations. All contributions are inspiring and professionally prepared.

Download the e-book for free (pdf)

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.

E-book

Natália Raschmanová - Ľubomír Kováč

The text summarizes the basic knowledge about the functioning of the soil ecosystem with a focus on soil protists and dominant groups of soil animals. Characteristics of each soil animal group include basic morphology, ecology, distribution, population dynamics and their importance in the soil ecosystem. The aim of the text is to gain a basic understanding of the diversity and interactions of soil fauna with the soil environment. It deals with the ecological classification of soil fauna on the basis of body size, presence in the soil during the life cycle, food preference and by locomotion. It highlights important morphological and ecophysiological adaptations of soil fauna to physical and chemical environmental factors. The text also gives an overview of the basic methods in the field collection of soil fauna and their extraction from soil samples under laboratory conditions. It further informs on the method of taxonomic identification and ecological evaluation of soil fauna communities. Discusses the soil fauna of different types of ecosystems. It highlights the differences in soil fauna communities that inhabit grassland and forest habitats, and agricultural soils. This teaching material is intended for students in biology degree programmes.

Download the e-book for free (pdf)

E-publication

Beáta Valkay ed.
Ivana Slepáková-Andrej Mock a kol.

The publication EFFUSE – River Landscape, Volume 2: Guidelines for Experts, developed within the EFFUSE project, is intended for professionals in the field of environmental sciences. It provides recommendations for research in river landscapes and highlights their importance for understanding ecological processes. The text presents bioindicators as a key tool for assessing landscape health and biodiversity conservation. A dedicated section explains why studying river landscapes as natural laboratories is essential. The publication also includes a practical manual for the Olympus DSX-1000 High End Model microscope, expanding opportunities in scientific education and research. In this way, it combines theoretical guidelines with modern technologies that enhance environmental knowledge.

Download the e-book for free (pdf)

E-book

Janka Vrláková - Adela Kravčáková - Stanislav Vokál

The presented "Collection of Problems in Atomic and Nuclear Physics" is intended as a basic study material for lectures in General Physics IV in the second year of the bachelor's single-subject physics program and interdisciplinary studies combined with physics at the Faculty of Science of P. J. Šafárik University in Košice.

Its aim is to support independent student work and to deepen the acquired knowledge from the given physics course by solving selected problems. It is divided into three main parts: Atomic Physics, Nuclear Physics, and Experimental Methods of Nuclear Physics.

Each thematic chapter contains an overview of basic concepts, relations, and formulas necessary for better understanding of sample problems and for solving the attached set of unsolved problems.

Download the e-book for free (pdf)