EFFUSE Scientific education for advanced

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Michal Jaščur

This monograph is devoted to the discussion of effective field theory based on the differential operator method, originally introduced by Honmura and Kaneyoshi in 1979, which remains actively used for theoretical studies of localized spin models of magnetism—particularly variants of the Ising model. To date, this methodology has been applied by numerous authors to investigate a wide range of systems, including crystalline systems, diluted magnetic systems, systems with random exchange interactions, amorphous magnetic materials, systems under random magnetic and crystalline fields, thin magnetic layers, magnetic systems with free surfaces, binary and ternary magnetic alloys, among others.

During my scientific career, I have collaborated with several leading experts in this field—including Prof. Kaneyoshi, with whom I completed two long-term research stays—to advance the development of the differential operator method (and consequently effective field theory). Within this research area, I have published over 40 scientific papers in prominent international physics journals. These works include both methodological advancements and significant applications that predict intriguing physical phenomena, such as multicompensation phenomena in ferrimagnets.

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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

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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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.

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Ondrej Hutník (ed.)

Book of abstract

Uncertainty Modeling 2024 (UM 2024) is organized by Pavol Jozef ˇSaf´arik University in Koˇsice. It is a continuation of the series of colloquia held in Rzesz´ow under the name International Symposium on Fuzzy Sets (ISFS) and in Bratislava under the name Uncertainty Modeling.

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E-publication

Denisa Maceková-Monika Václavková-Marek Kvet-Ivana Sotáková

The publication Digiform: A Supporting Application to Digilib – User Guide, Part B presents the Digiform web application as a tool that extends the functionality of the Digilib digital library of formative assessment tools. The application enables the creation and editing of formative assessment tool templates, which can be adapted to the specificities of individual subjects and levels of education and subsequently imported into the Digilib environment for use in the teaching process. The guide provides a detailed description of how to work with the Digiform application, from creating new templates, editing and personalising them, through to their export and implementation in the main Digilib application. Attention is also given to the interconnection with the Digilib Images application, which enables the integration of visual elements into the assessment tools, thereby enhancing their didactic effectiveness and visual appeal. The guide is intended for teachers at all levels of education, student teachers, school administrators, and digital coordinators who are interested in the systematic use of the Digilib digital library to support the implementation of formative assessment, enhance the quality of the educational process, and foster the development of students’ self-assessment and reflective competences.

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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.

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E-book

Peter Kollár

The textbook Semiconductor Elements was developed gradually over the past years as an aid for second-year master's students in condensed matter physics. It is intended to support students’ understanding of lectures, considering that important texts, mathematical relationships, and illustrations are provided in advance in the form they will be presented during the lecture.

This allows students to supplement individual pages with their own notes during the lecture, either electronically or in printed form. In this way, a study aid is created for the student, which I believe will help with the final review of knowledge gained throughout the semester in preparation for the exam. This textbook is not meant to serve as standalone literature but is designed to assist orientation in the literature, which is abundant in English but mostly written for scientists, researchers, and students for whom this topic is central and not just one of many parts of their education. Therefore, it is not allocated a larger scope in the study program.

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Norbert Kopčo

Neuroscience is an interdisciplinary field of science at the interface of biological, psychological and computer sciences, which aims to describe the functioning of the brain and mind. Computational and cognitive neuroscience are subfields of neuroscience focused on the study of information processing in the human and animal nervous systems, and on the theoretical description of the brain and mind. This university textbook contains several assignments that provide an overview of the methods used in computational and cognitive neuroscience, with an emphasis on mathematical modeling and on the behavioral study of cognitive processes. The textbook builds on the author's previous works.

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Valéria Skřivánková 

Predložený učebný text sa pokúša ilustrovať možné aplikácie Teórie pravdepodobnosti na príkladoch z oblastí (vo fyzike, chémii,  biológii, ekonomike, finančníctve, atď.), ktoré sú spestrené o úlohy na hľadanie optimálnej stratégie.

Text je určený predovšetkým poslucháčom Prírodovedeckej fakulty UPJŠ, budúcim učiteľom matematiky, študentom odboru matematika a informatika prípadne iným záujemcom, ktorí budú aplikovať pravdepodobnostné metódy pri riešení reálnych problémov. Obsahom pokrýva prvú časť predmetu "Pravdepodobnosť a štatistika".

Autorka

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

Marián Kireš - Renáta Orosová a kol.

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Adriana Zeleňáková - Zuzana Ješková - Adela Kravčáková  et al. (eds.)

The proceedings contain abstracts of contributions from participants of the 10th Czech-Slovak Student Scientific Conference in Physics, which took place on May 2–3, 2019, at the Faculty of Science, Pavol Jozef Šafárik University in Košice.

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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. 

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Danica Studenovská - Tomáš Madaras 

Táto publikácia je určená pre študentov nematematických odborov na Prírodovedeckej fakulte UPJŠ v Košiciach. Jej obsahom je látka preberaná v prvom semestri v rámci predmetu Matematika I..

Publikácia nadväzuje na učivo stredných škôl a nevyžaduje žiadne predbežné špeciálne znalosti. Môže slúžiť ako základ na ďalšie samostatné štúdium a môže byť užitočná aj pre iných záujemcov o matematiku a jej aplikácie.

Vyriešené príklady v jednotlivých kapitolách majú pomôcť čitateľovi pri zvládnutí štúdia. Tomu napomáhajú aj ilustratívne obrázky.

Autori

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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