Zbierka úloh z matematickej analýzy III.

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Jozef Bednarčík - Hana Vargová (eds.)

The Czech and Slovak Conference on Magnetism (CSMAG) is a scientific meeting that honors a longstanding tradition initiated in Košice in 1960. Evolving from a regional gathering of the Czechoslovak magnetic community into a prominent international forum, CSMAG brings together researchers from diverse fields of magnetism. The conference covers a wide range of topics including theoretical and experimental magnetism, magnetic materials for energy and spintronics applications, low-dimensional and molecular magnets, rare-earth and actinide systems, and multifunctional materials. With contributions from over 20 countries, CSMAG’25 fosters cross-disciplinary collaboration and showcases the latest advances in both fundamental studies and practical applications of magnetic phenomena.

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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.

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Prílohy

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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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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.

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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.
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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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Soňa Király (ed.)

The book of abstracts from International Meeting on Advanced Materials, IMAM 2025, is composed of contributions from participants of this conference. The conference consisted of 16 lectures by mentioned conference participants. The conference is focused on advanced materials and its application in various research areas. All contributions are professionally processed and inspiring.

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Ondrej Krídlo - Gabriel Semanišin

For computer scientists, the constant challenge is to seek efficient algorithms and various technical and implementation possibilities to improve the computational complexity of currently known algorithms. Partial solutions are offered by approaches such as grid-based methods and parallelization of computation. Quantum computers represent a significant but still unfulfilled promise. From a theoretical perspective, probabilistic and approximation approaches provide very effective solutions, and these are the methods we aim to explore in detail.

These electronic university textbooks serve as supplementary materials for the course Approximation and Probabilistic Algorithms. They were developed from the authors' materials and contributions by Prof. RNDr. Viliam Geffert, DrSc., whom the authors thank for providing the manuscript. Acknowledgments also extend to RNDr. Ján Katrenič, PhD., who prepared the first set of exercises for the course, and Žaneta Semanišinová, who reviewed large portions of the text and contributed suggestions for its improvement.

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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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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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Milan Žukovič

This textbook is intended for master's degree students and is a follow-up to the Computational Physics I course studied at the bachelor's level. The content of the textbook Computational Physics II focuses on stochastic methods of solving physical problems, mainly on Monte Carlo (MC) simulation of many-particle systems.

The focus on this computationally intensive approach is motivated by the gradual increase in the computing capacities of ordinary computers as well as the introduction of high-performance computing clusters. This has led to significant progress in the development of new simulation techniques, thanks to which MC simulations have found application in various areas of research and application practice. Considering the main research focus of the department, this text is particularly devoted to the presentation of basic and more advanced MC simulation techniques applied to a simple Ising spin model in order to investigate its magnetic, thermodynamic and critical properties.

The next part is devoted to MC simulations of random processes. It focuses on the simplest but also the most basic random walk process and demonstrates its applications in financial analysis and the solution of a quantum system described by the time-dependent Schrödinger equation. The last part is dedicated to the basics of molecular dynamics, applied to simulating the classical movement of atoms in a given force field. By mastering the problems addressed in this course, students will obtain a potential tool for working out of their diploma theses, or a methodology useful for their further scientific and research practice in the field of investigating of complex systems.

The lectured topic is subsequently exercised in the form of preparing projects implemented in the freely distributable software Octave, which is easy on the user's programming skills and which students have the opportunity to familiarize themselves with in the previous study.

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Norbert Kopčo - Frederick Gallun - Beáta Tomoriová - Ľuboš Hládek(eds.)

Cognitive neuroscience is a fast developing scientific field which aims at uncovering the neural basis of human perception and cognition. To achieve this goal, cognitive neuroscience uses a variety of tools and approaches ranging from non-invasive brain imaging to psychophysics and neural modeling. Mastering such tools requires skills and knowledge from multiple scientific domains, including neurophysiology, cognitive psychology, and several computational fields.

Access on request via email: kogneuro (@) gmail.com

http://pcl.upjs.sk/workshopcd 

https://sites.google.com/site/kogneuro/

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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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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.

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Mária Reháková 

Vysokoškolský učebný text určený pre poslucháčov vyšších ročníkov z bioanorganickej chémie. Štúdium bioanorganickej chémie si vyžaduje vedomosti z predchádzajúcich chemický disciplín nižších ročníkov - všeobecnej, anorganickej, organickej, fyzikálnej chémie a biochémie.

Autorka

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Vladimír Sedlák

In the presented university textbooks, so-called satellite-based augmentation systems (SBAS, from the English Satellite Based Augmentation Systems, in Slovak Systémy rozširujúce základné satelitné systémy) are also discussed. These systems enhance, expand, or refine the basic satellite navigation systems. They are supportive satellite systems for GNSS (Global Navigation Satellite Systems). Currently, the long-operational American GPS and Russian GLONASS systems, as well as the partially operational European Galileo system (since December 2016), have and will continue to have broad applications in various fields of human activity, both professional and personal.

The university textbook Globálne navigačné satelitné systémy (Global Navigation Satellite Systems) reflects the current progressive development in the technological and instrumental principles and components of such satellite navigation systems. It presents the state of these satellite technologies from their historical origins and development to the present. The rapid advancements, particularly in the instrumental base of satellite navigation systems, will require updates on their current state in future editions of these university textbooks.

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