O jaskyniach a krase pre každého – vybrané kapitoly

E-book

Jana Shepa (ed.)

The book of abstracts from 6th International Conference on Nanomaterials: Fundamentals and Applications, NFA 2022 is composed of contributions from the participants of this international conference. The conference consisted of 4 invited lecture and 52 abstracts of participants. The conference is focused on nanotechnology and its application in various research areas. All contributions are professionally processed and inspiring.

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

Zuzana Vargová - Miroslav Almáši - Juraj Kuchár - Jana Dinajová 

The script „Základné laboratórne praktikum z anorganickej chémie“ builds on previous editions of the script, with some thematic units updated and supplemented with new knowledge, principles, and detailed work procedures.

This script is intended as a teaching aid for first-year students of the chemistry and interdisciplinary study programs at the Faculty of Science, Pavol Jozef Šafárik University in Košice. The introductory part of the volume acquaints students with safety regulations that they should follow during work in a chemical laboratory. Subsequently, in five chapters, basic laboratory techniques are described in detail, which students will use in the further part of the practices for preparing inorganic compounds. These chapters are enriched with illustrative images created using the freely distributable ACDFreeLabs 10 program or taken from literature listed at the end of the script. Some images were created by the authors, and others were taken from the catalog of Fisher Slovakia, s.r.o., which provided written permission for their use. The chapters describing the preparation of inorganic compounds are organized according to their composition, from simple elements or molecules, through binary compounds, acids, and salts, to complex compounds.

Within this subject, students should apply their theoretical knowledge gained during lectures on General Chemistry and Inorganic Chemistry and thereby acquire basic practical experience and skills that they will use in further studies.

The last two chapters were developed based on cooperation with Duslo a.s., Production Plant Strážske, which participates in the innovation of practical teaching through direct involvement of experts from practice as part of the KEGA project No. 008UPJŠ-4/2018.

Authors

Download the e-book for free (pdf)

E-book

Valéria Skřivánková - Martina Hančová

The publication is focused on discrete random processes, primarily on Markov chains, which have wide application in the field of economics and finance.

The textbook is divided into five chapters, the first of which serves as an introduction to random processes and provides definition, properties and classification of random processes in general. The second chapter discusses Markov chains with discrete time, including valuation of transitions between states and their optimal management. The third chapter focuses on special Markov chains with continuous time and emphasizes construction and solution to the system of Kolmogorov differential equations, which describe the dynamics of the process development. The last two chapters illustrate applications of Markov chains using examples of queuing system modeling and renewal theory.

Besides the explanation of basic terms, definitions and theorems with proofs, this textbook also provides number of solved examples to illustrate the discussed theory. Problem assignments are placed at the end of each chapter, so that readers can test their understanding of the content as they progress through the book. Solutions to all the problems and the list of references are provided at the end of the publication.

This textbook is primarily intented for students majoring in Economics and Financial Mathematics at the Faculty of Science of Pavol Jozef Šafárik University in Košice, and it covers content of the course “Random Proceses 1“ thought there. It might however serve also students from other schools in similar progams or professionals interested in this topic.

Download the e-book for free (pdf)

E-book

Mariana Budovská

The aim of writing the university textbook "Selected Heterocyclic Compounds" was to create a study aid for students of the Organic Chemistry program, which provides essential information in a clear format for the subject of Heterocyclic Compounds. In selecting the content of the textbook, the goal was to present basic information about the chemistry of the most significant heterocycles. Given that the summary of chemical knowledge about heterocycles is vast, it was not possible to include all heterocyclic compounds in the content.

The intention was for readers to orient themselves in the field of heterocyclic compounds. Separate chapters included in the content address the nomenclature of heterocycles, basic chemical properties of individual heterocycles, their synthesis and reactions, the occurrence of heterocycles in nature, and their practical applications (medications, dyes, pesticides, detergents, etc.).

Download e-book for free (pdf)

E-book

Michal Jaščur

This is a supporting text for the undergraduate students interested in quan- tum theory of magnetism. The text represents an introduction to various theoretical approaches used in this eld. It is an open material, in the sense that it will be supported by appropriate problems to be solved by student at seminars and also as a homework.

The text consists of four chapters that form closed themes of the in- troductory quantum theory of magnetism. In the rst part we explain the quantum origin of the magnetism illustrating the appearance of the ex- change interaction for the case of hydrogen molecule. The second chapter is devoted to the application of the Bogolyubov inequality to the Heisenberg model and it represents the part which is usually missing in the textbooks of magnetism. The third chapter deals with the standard spin wave-theory including the Bloch and Holstein-Primakoff a approach. Finally, we discuss the application of the Jordan-Wigner transformation to one-dimensional spin-1/2 XY model.

The primary ambition of this supportive text is to explain diverse math- ematical methods and their applications in the quantum theory of mag- netism. The text is written in the form which should be sufficient to de- velop the skills of the students up to the very high level. In fact, it is expected that students following this course will able to make their own original applications of the methods presented in this book.

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

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

Stanislav Lukáč - Ľubomír Šnajder - Ján Guniš - Zuzana Ješková

The publication is intended for researchers in didactics and teachers of mathematics and computer science. Our aim is to provide readers with a basic orientation in the issue of inquiry-based teaching, to explain and demonstrate several levels of student inquiry through examples, and to offer a classification of inquiry skills.

The core part of the publication consists of methodologies for inquiry-based teaching of specific topics from school mathematics and computer science. We present ideas for implementing inquiry activities, active work with information in solving various types of problems, and the application of modern digital technologies in exploring and discovering patterns.

The publication includes seven methodologies for teaching mathematics and eight methodologies for teaching computer science in the 1st and 2nd years of secondary school.

Download the e-book for free (pdf)

Prílohy

E-book

Danica Sabolová

This university textbook is intended for students of the Faculty of Science of the University of Applied Sciences in Košice who have enrolled in practical exercises in Biotechnology, but also for all other students who are interested in learning about the practical applications of biotechnology.

The aim of the practical course is to familiarize students with basic biotechnological methods and their applications. The students will verify in practice the theoretical knowledge acquired in the Biotechnology lectures such as the course of fermentation processes, wine production, preparation of fermented milk products and cheese, preparation of culture media, inoculation and cultivation of microorganisms, etc. The practical exercises also include the use of analytical and spectral methods, which are an integral part of biochemistry.

The scripts are published only in electronic form and are available on the University's website: http://kosice.upjs.sk/~kbch/sk, for the reason that it will always be possible to update and modernize the content of the laboratory exercises.

Download the e-book for free (pdf)

E-book

Jozef Strečka,Katarína Karľová

The 48th Conference of the Middle European Cooperation in Statistical Physics (MECO48) will be held on May 22nd-26th, 2023, in Stará Lesná, High Tatras, Slovakia. The MECO48 conference continues a long tradition of regular international meetings in the domain of statistical physics established in the early 1970s with the aim of bridging the gap between the communities of scientists from the Eastern and Western parts of Europe separated by the iron curtain. In the modern era the MECO conferences attract attention of the community of scientists who are active in the field of statistical physics including various interdisciplinary applications to biology, medicine, geography, finance, quantum information theory, and machine learning. The MECO48 conference is organized jointly by Faculty of Science of Pavol Jozef Šafárik University in Košice, Institute of Experimental Physics of Slovak Academy of Sciences in Košice, Institute of Physics, Slovak Academy of Sciences in Bratislava and Faculty of Humanities and Natural Sciences, University of Prešov under the financial support of Slovak Research and Development Agency (grant No. APVV-20-0150) and other sponsors.

Download e-book for free (pdf)

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.

Download e-book for free (pdf)

E-book

Nataša Tomášková

Selected tasks and problems from biochemistry – metabolism follow biochemistry lectures on metabolism and individual metabolic pathways for students of the second and third year of the bachelor’s degree in the fields of chemistry, biology and their combinations with other fields. Scripts provide an opportunity to better understand the lectured subject matter of metabolism through the solution of tasks and problems as serve as a basis for one-hour exercises. The scripts are divided thematically into eleven chapters, and each chapter contains 10 tasks and 7 problems. At the beginning of the chapters there is a short description and explanation of the given metabolic pathway. However, when solving the tasks, the student must focus mainly on the curriculum that was presented on the given topic in the lecture. Subsequently, at the end of chapter, answers to problems are also presented. These scripts are intentionally accessible only in electronic form. The reason is the effort to continuously update and modernize individual tasks.

Download e-book for free (pdf)

E-book

Jozef Strečka

Over the past fifteen years, the course on ’Exactly Solvable Models in Statistical Physics’ has become an indispensable ground of the study programme ’Theoretical Physics’ at Faculty of Science of Pavol Jozef Šafarik University in Košice. At first, the course based on the first edition of this textbook was intended for undergraduate students only, however, I have later prepared follow-up course taught at a postgraduate level on demand of several ambitious students who wished to continue in studying this exciting research field.

It is already more than decade when our students enrolled in the study programme ’Theoretical Physics’ graduate from ’Introduction to Exactly Solvable Models in Statistical Physics’ at a master level and ’Exactly Solvable Models in Statistical Physics’ at a postgraduate level. Of course, it was necessary somehow to rearrange topics for the courses of undergraduate and postgraduate students.

More specifically, a few more challenging topics concerned with exact solutions of 2D Ising model (chapter 3) were moved to a more advanced course intended for the postgraduate students, while an introductory course intended for the undergraduate students was contrarily supplemented with a few new topics requiring the second edition of this textbook.

The second edition of this textbook thus contains a completely new chapter 4 devoted to the exact solution of the Ising model on the Bethe lattice using the method of exact recursion relations, while the chapter 5 was supplemented by exact results for ground state of a few frustrated Heisenberg spin models using the variational method. It is my hope that the next edition of this textbook will come soon and it will involve all topics specifically taught within the postgraduate course as well. 

Download the e-book for free  (pdf)

E-book

Vladimír Zeleňák (ed.)

Proceedings of Abstracts of the Student Scientific Conference of the Faculty of Science, Pavol Jozef Šafárik University in Košice

A characteristic feature of education at high-quality universities — among which the Faculty of Science at Pavol Jozef Šafárik University (UPJŠ) in Košice proudly belongs — is the close connection between education and scientific research. Students gain knowledge in their field of study not only through theoretical coursework in individual disciplines, but also through active involvement in solving specific scientific tasks as part of research teams. This can occur during the development of final theses or through participation in the Student Research Assistant Program (ŠPVS), which was revitalized at the faculty in 2015.

The Student Scientific Conference (ŠVK) is one of the faculty’s traditional events, organized during the Faculty’s Science Days as part of Sciencefest. By its very nature, it fits seamlessly into the aforementioned framework of combining education with research, and it has long enjoyed great popularity and student interest. In 2016, the conference featured presentations by 125 students of the Faculty of Science at UPJŠ in Košice, across 16 thematic sections. This collection of abstracts provides an overview of the focus and goals of the student projects. We believe it will serve as inspiration for other potential participants of future conferences and will also be of interest to the broader public, offering additional insight into the faculty's activities.

Download the e-book for free (pdf)

E-book

Jana Špaková Raschmanová - Zuzana Kudličková - Kvetoslava Stanková

Organic chemistry plays a key role in our lives, from the pharmaceutical industry to the production of plastics and food additives. Additionally, it is essential in biochemistry, as it deals with the basic building blocks of living organisms, such as carbohydrates, lipids, proteins, and nucleic acids. One of the best ways to teach organic chemistry and increase students' interest in the subject is through conducting school experiments. This study material presents a collection of visually striking practical experiments in organic chemistry that will help students better understand the chemical processes and techniques used in the field. This electronic study material is supplemented with visual material, allowing students to verify the results of experiments and better understand the individual procedures. At the end of each section, there are questions to help assess the acquired knowledge and encourage deeper understanding of the experiments conducted.

Download the e-book for free (pdf)

E-book

Jana Shepa (ed.)

The book of abstracts from 6th International Conference on Nanomaterials: Fundamentals and Applications, NFA 2022 is composed of contributions from the participants of this international conference. The conference consisted of 4 invited lecture and 52 abstracts of participants. The conference is focused on nanotechnology and its application in various research areas. All contributions are professionally processed and inspiring.

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

Zuzana Vargová - Miroslav Almáši - Juraj Kuchár - Jana Dinajová 

The script „Základné laboratórne praktikum z anorganickej chémie“ builds on previous editions of the script, with some thematic units updated and supplemented with new knowledge, principles, and detailed work procedures.

This script is intended as a teaching aid for first-year students of the chemistry and interdisciplinary study programs at the Faculty of Science, Pavol Jozef Šafárik University in Košice. The introductory part of the volume acquaints students with safety regulations that they should follow during work in a chemical laboratory. Subsequently, in five chapters, basic laboratory techniques are described in detail, which students will use in the further part of the practices for preparing inorganic compounds. These chapters are enriched with illustrative images created using the freely distributable ACDFreeLabs 10 program or taken from literature listed at the end of the script. Some images were created by the authors, and others were taken from the catalog of Fisher Slovakia, s.r.o., which provided written permission for their use. The chapters describing the preparation of inorganic compounds are organized according to their composition, from simple elements or molecules, through binary compounds, acids, and salts, to complex compounds.

Within this subject, students should apply their theoretical knowledge gained during lectures on General Chemistry and Inorganic Chemistry and thereby acquire basic practical experience and skills that they will use in further studies.

The last two chapters were developed based on cooperation with Duslo a.s., Production Plant Strážske, which participates in the innovation of practical teaching through direct involvement of experts from practice as part of the KEGA project No. 008UPJŠ-4/2018.

Authors

Download the e-book for free (pdf)

E-book

Valéria Skřivánková - Martina Hančová

The publication is focused on discrete random processes, primarily on Markov chains, which have wide application in the field of economics and finance.

The textbook is divided into five chapters, the first of which serves as an introduction to random processes and provides definition, properties and classification of random processes in general. The second chapter discusses Markov chains with discrete time, including valuation of transitions between states and their optimal management. The third chapter focuses on special Markov chains with continuous time and emphasizes construction and solution to the system of Kolmogorov differential equations, which describe the dynamics of the process development. The last two chapters illustrate applications of Markov chains using examples of queuing system modeling and renewal theory.

Besides the explanation of basic terms, definitions and theorems with proofs, this textbook also provides number of solved examples to illustrate the discussed theory. Problem assignments are placed at the end of each chapter, so that readers can test their understanding of the content as they progress through the book. Solutions to all the problems and the list of references are provided at the end of the publication.

This textbook is primarily intented for students majoring in Economics and Financial Mathematics at the Faculty of Science of Pavol Jozef Šafárik University in Košice, and it covers content of the course “Random Proceses 1“ thought there. It might however serve also students from other schools in similar progams or professionals interested in this topic.

Download the e-book for free (pdf)

E-book

Mariana Budovská

The aim of writing the university textbook "Selected Heterocyclic Compounds" was to create a study aid for students of the Organic Chemistry program, which provides essential information in a clear format for the subject of Heterocyclic Compounds. In selecting the content of the textbook, the goal was to present basic information about the chemistry of the most significant heterocycles. Given that the summary of chemical knowledge about heterocycles is vast, it was not possible to include all heterocyclic compounds in the content.

The intention was for readers to orient themselves in the field of heterocyclic compounds. Separate chapters included in the content address the nomenclature of heterocycles, basic chemical properties of individual heterocycles, their synthesis and reactions, the occurrence of heterocycles in nature, and their practical applications (medications, dyes, pesticides, detergents, etc.).

Download e-book for free (pdf)