Pravdepodobnosť v príkladoch

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

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.

Download the e-book for free (pdf)

E-book

Erik Čižmár

The textbook "Special Practicum II" is dedicated to describing experimental methods used for studying the magnetic properties of solid materials, especially low-dimensional and molecular magnets. It subsequently contains instructions for the practical exercise "Special Practicum II," during which master's and doctoral students use state-of-the-art commercial equipment-an electron paramagnetic resonance (EPR) spectrometer and a SQUID magnetometer.

The introductory chapter briefly describes the origin of magnetism in solids, the role of the crystal field, and magnetic interactions in explaining their magnetic properties. This is followed by an explanation of the principles of EPR, the operation of the EPR spectrometer, and the optimization of its parameters for the specific practical exercise.

The next part of the textbook is devoted to an overview of the behavior of magnetic quantities with changes in magnetic field or temperature in various types of magnets. The textbook concludes with a description of the operating principle of the SQUID magnetometer and an example of its use in a practical exercise measuring the magnetic moment.

Download the e-book for free (pdf)

E-book

Daniela Kladeková

Working with this study text requires adequate knowledge of physical chemistry, physics, and biology, as navigating the presented material becomes challenging without this foundation. A solid grasp of mathematics is essential and aids in understanding colloidal chemistry problems. The textbook, structured into individual chapters, first addresses optical and molecular-kinetic properties after classifying and characterizing disperse systems.

This university-level textbook is primarily intended for students in chemical and ecological disciplines at the Faculty of Science, Pavol Jozef Šafárik University in Košice. It does not aim to exhaustively cover every detail of the subject, as comprehensive treatments are already available in specialized monographs on colloid and macromolecular chemistry, as well as in foundational physical chemistry textbooks.

Download the e-book for free (pdf)

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

Alena Gessert

Caves have always been very specific places throughout history. In some cultures, they served as sites for sacrifices or remembrance, while in others, they were seen as places where one could cross to the "other side of life." People used caves for shelter, as places to leave messages, to wait out bad weather, and in some cases, even lived in them. During wars in our region, entire families or villages would hide from enemies in caves, or they would use them to conceal weapons.

Today, in most countries, caves are destinations for tourists who want to experience something new and unknown: darkness, high humidity, and the fascinating beauty of underground formations. They are also sought after by cavers who long to explore caves, enter worlds where no human has set foot before, find evidence of previous habitation, or conduct research that continually advances our knowledge.

In the publication you are holding, we present both traditional and less conventional topics about the formation of karst and caves, selected ecological aspects, maps and their creation, significant caves of the world, and the life of people in such areas. We also offer an overview of important karst locations that are definitely worth learning more about or visiting in person. This publication is intended for readers among pupils, students, teachers, and the general public, and we believe it will draw you into this mysterious world.

Download e-book for free (pdf)

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

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 at Faculty of Science of P. J. Šafárik University in Košice 2020“. 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-publication
Michal Goga-Marko S. Sabovljević-Martin Bačkor-Dajana Kecsey-Deepti Routray
A comprehensive guide that introduces you to the fascinating diversity and systematics of lower plants. These practical lessons are designed to provide hands-on training, allowing students to engage directly with the interesting study of Cryptogams by observation, analysis, and identification and experimentation. Beginning with the overall idea of cryptogam in a field trip near by the vicinity of Botanical garden then followed by the basics of microscopy in, will help to gain essential skills in understanding the components and proper usage of a microscope, a fundamental tool in botanical studies.
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

Jana Shepa - Ivana Šišoláková (eds.)

Abstracts of the 4th International Conference Nanomaterials: Fundamentals and Applications (NFA) 2020 is the contributions summary of the conference participants. The conference will feature three invited lectures and eight registered lectures. This conference is a tool for creating a dialogue between experts in the field of nanomaterials, their use and overall application in various fields. Papers in the proceedings are thematically divided into 6 areas. All contributions are highly professional and interesting and can contribute to further creative scientific work.

Download the e-book for free  (pdf)

E-book

Pavol Mártonfi

The university textbook deals with the latest knowledge from the systematics of vascular plants in a clear manner. Vascular plants arose in the Silurian period in the Paleozoic, when the first primitive plants moved from water to dry land, which required evolutionary progress in the morphological and anatomical structure of these plants. During about 420 million years of the existence of vascular plants, several of their main groups have evolved: the spore vascular plants, including the lycopods (branch Lycopodiophyta) and group of ferns and related plants (branch Monilophyta), and the seed plants, including gymnosperms (branch Gymnospermae) and angiosperms ( Angiospermae), which currently dominate among plants. The textbook provides a brief but comprehensive overview of the main groups, orders and families of plants with their description, distribution, main representatives, while also addressing the useful properties of selected species. The work is complemented by an overview of the system of plants by Cronquist, Tachtadžjan, APG and an overview of the families of the Slovak flora, as well as a taxonomic index.

Download e-book for free (pdf)

E-book

Erik Bruoth - Juraj Šebej - Ľubomír Antoni

In these university-level textbooks, we present the fundamental concepts of networks and graph theory. We explore breadth-first and depth-first graph searching. We present static and dynamic network models. We describe the issue of detecting overlapping and non-overlapping communities in directed and undirected networks. Various approaches to anomaly detection in networks also form an important part of this textbook. The final chapter is dedicated to spectral clustering, which plays a significant role in data mining in network graphs for various application domains.

These textbooks are suitable for first and second-year university students in computer science programs. The study materials are also suitable for students in non-computer science fields, with the aim of improving their knowledge and practical experience in computer science-related areas, and provide an opportunity for students to find employment in IT companies to solve practical tasks.

Download 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

Ondrej Krídlo

University textbooks present the basics of knowledge systems, which are divided into two parts. The first part of the publication is devoted to the basis of Formal Concept Analysis, ie the method of data analysis, knowledge representation and information processing, which is based on the formalization of the concept. In the second part we deal with the basics of logic programming, procedural semantics of logic programming, ie programs - theories, questions, SLD-derivation, SLD-tree, search strategies.

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

Download e-book for free (pdf)

E-book

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.

Download the e-book for free (pdf)