Elementárna teória čísel 1. časť

E-book

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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E-book

Martin Bačkor - Miriam Bačkorová

The proposed text focuses on the history of studying biology, medicine, and pharmacy as scientific disciplines from prehistoric times through antiquity, the Middle Ages, and the modern era. The text chronologically organizes the most significant figures in the history of biological scientific disciplines, outlines key characteristics of major historical discoveries, and reevaluates their significance from the perspective of 21st-century science.

The educational text is chronologically divided into the most significant periods of civilization development. The last two completed centuries—the 19th and 20th—are subdivided into major life science fields due to the unprecedented growth of biological disciplines and the resulting volume of acquired information.

Since it can sometimes be challenging in science to define what constitutes the past versus the present of a particular discipline, we have excluded significant biological discoveries from the early 21st century, which are typically regarded as the “present” of biology.

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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.

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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.

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E-book

Katarína Kimáková

The textbook is intended for university students who are preparing for the profession of biology teacher. The structure of the book is similar to an encyclopedia, with one page devoted to each content item, but the topics of the chapters and subchapters follow each other.

The explanatory text on the page illustrates the diagram and there are notes and links to other sources of information. For better orientation, the content of the textbook is divided into 8 sections, which cover several chapters. It follows the general didactics, which it connects with the teaching of biological content. The book provides a basic orientation in the approaches to learning this subject, and also explains the relationship between biology as a science and the didactics of biology. It deals with teaching standards and curricula, advises on how to master biological concepts and understanding, how to communicate with students in biology classes, when and why are effective visual and practical methods. It acquaints the reader with the issue of setting goals for biological education in the cognitive, psychomotor and affective areas in relation to formative and summative assessment.

Hopeful as well as experienced teachers will find in this publication not only a look into the history of teaching biology, but also a look into the future. Current trends in biology teaching, the connection of teaching with digital technologies, the virtual learning environment and interactive simulations and models belong to science lessons today.

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E-book

Slávka Hamuľaková

The textbook "Structure and reactivity - solved examples and tasks, part 1" is the basis for teaching the subject "Structure and reactivity" for students of the 1st year of master's studies at the Faculty of Science, UPJŠ, department of Organic Chemistry. The textbook is divided into individual chapters, each chapter offering students examples of chemical reactions, where their course is explained on the basis of appropriate reaction mechanisms. A substantial part of the textbook consists of unresolved tasks, the main goal of which is the development of students' knowledge and skills. Due to the fact that the textbook is focused on only one semester of study, it cannot cover all reactions, rather it is only representative examples of different types of reactions, such as: addition reactions, elimination reactions, aromatic substitution, addition-elimination reactions, radical reactions and pericyclic reactions.

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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-book

Ľubomír Antoni a kol.

In university textbooks, we present the history of data science, basic concepts in artificial intelligence, machine learning, or deep learning. We describe the relationships between data science and other disciplines and summarize the tasks of the data scientist. We present an overview of university subjects in the field of data science, which were created and innovated at Slovak universities within the national project IT Academy - Education for the 21st Century. We present extended subject annotations, application examples and case studies using various methods in the field of data science. University textbooks are intended for students of bachelor's, master's, engineering and doctoral study programs in computer science, but also in non-informatics fields.

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E-book

Renáta Oriňáková (ed.)

Book of abstract

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E-book

Daniel Klein

Statistics is defined as a scientific discipline based on learning from data and on finding, controlling, and presenting uncertainty. In these university textbooks we present the history of statistics, basic concepts of statistical modeling, measurement of dependencies, regression models, analysis of variance. We describe simple sorting, multiple comparisons, assumptions of the ANOVA model, Kruskal-Wallis test.

University textbooks are suitable for students of mathematics and computer science at the first and second level of universities. Study materials are also suitable for students of non-informatics disciplines with a view to improving their knowledge and practical experience in the fields of informatics and provide an opportunity for students to apply in IT companies in solving practical tasks.

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E-book

Mária Ganajová - Jozef Hanč - Ivana Sotáková - Petra Letošníková (eds.)

The International Conference on Research in Didactics of the Science – DidSci+ 2022, continues in the educational legacy of the successful series of the previous DidSci conferences held from 2004 in Krakow, Prague, Brno, or Trnava. The DidSci+ conferences present a platform for enduring international cooperation, focusing on the frontiers and current challenges in science education research. This special edition of DidSci conferences, celebrating its 10th anniversary, was held in Košice, at the Faculty of Science of Pavol Jozef Šafárik University, from June 26 to 29, 2022. The careful double-blind review process has led to two major publications offering a comprehensive look at the latest advances in STEM and science subjects education. The first volume of selected papers is published as the IOP Conference Series proceedings, Vol. 3037 with open access at https://iopscience.iop.org/issue/1742-6596/3037/1, and is primarily devoted to STEM education, assessment, evaluation, feedback strategies, and teacher development. The second volume of selected papers, published by ŠafárikPress, focuses more on curriculum development, educational innovation, and digital technologies, primarily in chemistry and biology. Both publications are intended for a wide audience, including in-service and pre-service teachers of science subjects, university students in scientific disciplines, researchers in science education, professionals in pedagogical and methodological centers, curriculum developers, and textbook authors.

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E-book

Erik Čižmár

Textbook Automation of Laboratory Experiments in LabVIEW environment is devoted to the basics of graphical programming and shows the way how to communicate with measuring equipment and Arduino development boards in LabVIEW. The basic concepts of creating a virtual instrument and its interactive user environment are introduced. Three physical tasks are presented, the practical implementation of which takes place with the use appropriate instrumentation and LabVIEW. Practical tasks are dedicated to measuring the transmission characteristics of a low-pass RC filter, measuring the natural resonant frequency of a quartz tuning fork using the heterodyne pulse method, and mapping the magnetic field of a permanent magnet using Arduino.

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E-book

Adela Kravčáková - Stanislav Vokál - Janka Vrláková 

The presented “General Physics IV, Part 1: Atomic Physics” is intended as a basic study material for lectures from General Physics IV in the second year of bachelor-level study of physics and interdisciplinary study in combination with physics at the Faculty of Science, P. J. Šafárik University in Košice. The content covers the first part of the given course of physics, devoted to atomic physics.

The aim of the course is to obtain basic information about the structure of the atom and the electron shell of the atom.

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E-book

Lucia Andrezálová, Zdeňka Ďuračková,Mária Chomová,Vladimír Jakuš, Miriam Ježovičová, Jana Muchová, Zuzana Országhová,Ingrid Žitňanová

Chemistry and biochemistry at medical faculties are integral parts of basic theoretic knowledge of contemporary graduate. Educational book “Textbook of Medical Chemistry” is destined to students of study branches General Medicine and Dentistry for the course “Medical Chemistry”.

It is structured into 13 chapters concerning several topics: general and physical chemistry, organic chemistry, chemistry of natural substances (static biochemistry), enzymology and oxidative stress.

Individual chapters provide comprehensible explanation of the fundamentals of physico-chemical, chemical and biochemical relationships applying in living systems as well as the knowledge of the structure of biologically important molecules (simple molecules and macromolecules) related to their properties and biological function.

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E-book

Miroslav Almáši(ed.)

The proceedings of the conference 60 YEARS OF SCIENCE AND EDUCATION IN THE FIELD OF INORGANIC CHEMISTRY IN EASTERN SLOVAKIA comprise a collection of scholarly and scientific contributions presented on the occasion of the 60th anniversary of the establishment of the Department of Inorganic Chemistry at the Institute of Chemistry, Faculty of Science, Pavol Jozef Šafárik University in Košice. The conference focused on reviewing the scientific, research, and educational activities in the field of inorganic chemistry in eastern Slovakia and highlighting significant achievements accomplished over the sixty-year history of the department. The abstracts included in the proceedings cover a broad range of topics that reflect current trends and directions in inorganic chemistry. The proceedings are thematically divided into four main areas, encompassing contributions dedicated to inorganic, coordination, bioinorganic, and materials chemistry. This collection offers a valuable overview of the current state of research in inorganic chemistry, as well as its teaching and historical development in eastern Slovakia..

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E-book

Marcel Uhrin - Petr Benda -  Peter Kaňuch

Bats represent a unique group of mammals, characterised by different life strategies. They are the only mammals capable of active flight, which, combined with their almost exclusively nocturnal activity, has led to the evolution of specific adaptations. One of the most striking is echolocation, which enables them to orientate themselves perfectly in their surroundings in the dark. Bats are mainly native to the tropics, but have also colonised areas outside the tropics, which, has led to a complex phenological cycle with active phases and interruptions during hibernation, especially in temperate zones. In this diverse and species-rich group (almost 1,500 known species), there is a wide range of social organisation as well as feeding and roosting strategies. The textbook "Fundamentals of Chiropterology" brings the current state of knowledge about these extraordinary animals in eleven chapters and two appendices for the first time in the Slovak language.