Teória vypočítateľnosti

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

The textbook EFFUSE – River Landscape, Volume 1: Scientific Education for Everybody, developed within the EFFUSE project, explores the importance of water for living organisms and the specific features of water in the Transcarpathian region. It addresses the issue of water pollution and presents bioindication as an effective method of environmental research. The publication explains how the ecological status of rivers and water quality can be assessed using aquatic plants, insects, fish, and amphibians. It also raises awareness about the microbial composition of water and offers guidance on protecting oneself from waterborne infections. Finally, it highlights the significance of environmental education and awareness in strengthening the relationship between humans and the natural environment.

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E-book

Michal Hnatič - Tomáš Lučivjanský

This textbook is primarily intended for first-year master's degree students at Pavol Jozef Šafárik University in Košice, especially those in the nuclear physics, subnuclear physics, and theoretical physics programs. For many years, these lectures were taught by one of the authors at this university, and naturally, over time, there arose an effort to provide these lectures to students in printed form.

In this textbook, we will focus mainly on classical field theory, its quantization based on the operator approach, and the introduction of interactions. Descriptions based on functional integration, Feynman diagram techniques, and more advanced parts will be covered in a subsequent volume of the textbook. In this context, we want to emphasize that in many modern quantum field theory textbooks, the operator approach is used to a lesser extent and is replaced by the approach using (functional) path integrals.

This is probably due to time considerations, as the functional approach leads much faster to practical calculations. On the other hand, we believe that the operator approach is better from a pedagogical point of view. It is much closer to the traditional quantum mechanics course, which is often based on the Schrödinger or Heisenberg formalism. Therefore, students can much more easily follow the flow of ideas that led to the construction of quantum field theory and its fundamental concepts.

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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.

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E-book

Jozef Strečka

The present textbook deals with exactly solved models and their diverse applications in several branches of physics such as mathematical physics, statistical physics, condensed matter physics and so on. Exactly soluble models are currently considered as an inspiring research field in its own right, which regrettably requires a considerable knowledge of sophisticated mathematics. Accordingly, my primary ambition was to provide an intro- ductory course for undergraduate students that would cover the simplest exactly solved models, whose rigorous solutions are available even after modest calculation. The present textbook should be therefore regarded as an auxiliary graduate-level textbook, which should serve as the student’s guide on this beautiful but surely intricate subject.

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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-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-publication

Beáta Valkay ed.
Ivana Slepáková-Monika Balogová a kol.

EFFUSE - Scientific Education for Advanced is an educational material designed for university students interested in ecological sciences, biology and environmental protection. The publication was developed as part of the EFFUSE project and focuses on the scientific investigation of living organisms in the river ecosystem, with an emphasis on their ecological role and importance as bioindicators. The river ecosystem is a dynamic environment where a wide range of organisms can be studied, from algae and phytoplankton to aquatic invertebrates, fish, amphibians and reptiles. This publication presents a detailed study of their adaptations, life cycles, reproductive strategies and their importance for ecological balance. Particular attention is paid to fish and amphibians, whose environmental demands and sensitivity to pollution make them important indicators of water quality and environmental status. The publication also provides guidance on how to integrate their study into university education in the form of practical research. It also includes a chapter on science education in the context of sustainable development, which is often absent from university curricula in Slovakia and Ukraine. This material promotes the link between theory and practice and develops students' scientific thinking in order to prepare them to meet the environmental challenges of the future.

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E-book

Mária Vilková - Monika Garberová - Michal Goga

Nuclear Magnetic Resonance (NMR) is currently a widely used analytical tool that finds application in many fields of science and technology. The broadening of its practical use brings with it the necessity to create educational texts appropriate to the given scientific discipline.

This university textbook is intended for students of biology and serves as a supplement to the study materials for the advanced master's course "Biology of Lichens." At the same time, it represents a useful resource for master's and doctoral students involved in research, helping them interpret NMR spectra and present basic theoretical concepts.

The textbook briefly describes the important aspects of each NMR spectroscopic technique without delving excessively into the physical principles of individual methods or complex mathematical analyses. In this edition, the structures of lichen metabolites have been included, which students will isolate, purify, and identify using various analytical methods during practical exercises. An entire chapter is dedicated to a detailed description of solving the NMR spectra of isolated metabolites, with each step in elucidating the structures of both known and unknown metabolites explained in detail. The solved tasks are followed by numerous unsolved examples, including high-resolution 1D and 2D NMR spectra of metabolites, intended to further develop the acquired knowledge and skills of students and doctoral candidates in structure elucidation using NMR spectroscopy.

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E-book

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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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-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.

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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

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.

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E-book

Zuzana Kudličková(ed.)

Proceedings of Abstracts from the Scientific Conference with International Participation Organized on the Occasion of the 50th Anniversary of the Establishment of the Department of Organic Chemistry, Faculty of Science, Pavol Jozef Šafárik University in Košice, held on June 8–10, 2016 in Košice.

The Department of Organic Chemistry was established on February 1, 1966. From its inception, the department’s development prospects have been linked to high-quality scientific research focused on the synthesis of isothiocyanates and the products of their nucleophilic additions. In addition, studies were conducted on the use of cycloaddition, cyclocondensation, and photocyclization reactions of heterocumulenes in the synthesis of heterocycles.

Currently, research at the Department of Organic Chemistry is concentrated on stereoselective syntheses of iminosugars and γ-lactam-β-lactone antibiotics, total synthesis of natural compounds and their analogues possessing a sphingoid structure, research into the synthesis of indole alkaloids from the phytoalexin group, and the synthesis of acetylcholinesterase inhibitors based on acridine and coumarin derivatives.

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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.

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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)