Elementárna teória čísel 1. časť

E-book

Katarína Cechlárová

Linear programming belongs to parts of mathematics with the greatest number of real applications. This Slovak-English problem collection provides an overview of basic knowledge in the area, application problems as well as problems to acquire routine in calculations. It is complemented by questions motivating the student to look for further theoretical principles, construct conterexamples  and formulate arguments to explain the studied phenomena.

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Monika Balogová - Viktória Vargová - Kristián Gulyás - Natália Pipová - Dalibor Uhrovič -Marcel Uhrin

A peer-reviewed publication dealing with the biology and ecology of the European green toad, bringing new findings through scientific research on the roosting ecology, spatial activity and dispersal of this protected species in urban environments. The subject matter of this publication is highly topical, as amphibians represent the most threatened vertebrate group in the world. This work is suitable not only for university students interested in batrachology, amphibian ecology, and vertebrate zoology, but also for conservation workers, municipalities, and specialists directly involved in the reconstruction of urban areas with green toads. Last but not least, this publication is suitable for enthusiasts with an interest in nature and its conservation.

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E-book

Jana Shepa  (ed.)

The book of abstracts from 8th International Conference on Novel Materials: Fundamentals and Applications, NFA 2023 is composed of contributions from the participants of this international conference. The conference consisted of 6 invited lecture and 38 abstracts of participants. The conference is focused on novel materials and its application in various research areas. All contributions are professionally processed and inspiring.

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Ondrej Hutník

The concept of the integral is one of the most significant concepts in mathematics as a whole. In its most primitive form, it was already used by the ancient Greeks in the creation of Euclidean geometry. However, it was only after Descartes' work on analytical geometry in 1637 that mathematicians could begin to consider the integral as a subject of analysis. Descartes' work laid the groundwork for the discovery of infinitesimal calculus by Leibniz and Newton around 1665. At that time, a great dispute arose over the priority of this discovery, dividing scholars of Germany and England into two opposing camps, each favoring their own champion. Today, we know that Newton's work on fluxions and fluents was somewhat earlier, but Leibniz's notation and approach have gained more acceptance in the mathematical world, and the symbols ∫ ∫ and d d are still used today. A brief overview of the history of the integral will be presented in Chapter 1.

Today, there is a plethora of scripts, textbooks, and books dedicated to explaining the concept of the integral. Therefore, every potential author faces the initial question of whether to write another text on this topic. Our affirmative answer to this question was driven by the students' request to find the subject matter of a part of the winter semester of the second year presented in a coherent form. The second motivation is a slightly different approach to the topic. If we consider the methods typically used in solving problems and gaining routine with a certain integral, it mainly involves the Newton-Leibniz formula, and often there is little time left to compute the definite (Riemann) integral using its definition. Therefore, we included a discussion of the Newton integral in Chapter 2, which reflects this fact and is directly related to the indefinite integral, whose various calculation methods receive relatively much attention in the previous semester. Only after that, in Chapter 3, do we build the theory of the Riemann integral, present criteria for its existence, classes of integrable functions, basic properties, and finally its relationship with the Newton integral. Questions primarily concerning geometric applications are addressed in Chapter 4, and in the final chapter, we focus on extending the Riemann integral to unbounded functions and unbounded intervals.

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Daniel Jancura - Erik Sedlák

The textbook "Bioenergetics" should serve as an introduction to the study of bioenergetics. This field of science is currently highly actual, as the results of the bioenergetics research in recent years clearly show that bioenergetics processes in living systems can "serve" not only to transformation of energy, but also affect the course of processes such as apoptosis, aging, origin and development of many diseases (especially neurodegenerative).

These facts clearly indicate the need for the existence of quality teaching texts that would allow students to acquire the necessary information and knowledge in this scientific discipline in an acceptable way. For the above mentioned reasons, we decided to create these textbooks, which are in the form of ten chapters, which naturally and logically follow each other. 

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Veronika Niščáková - Ivana Šišoláková (eds.)

Abstracts of the 5th Intemational Conference Nanomaterials: Fundamentals and Applications (NF A) 2021 is the contributions summary of the conference participants. The conference will feature four invited lectures and ten 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-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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Dušan Barabas a kol.

The presented text is the final product of work within the project "Tanuljunk egymástól!/Let’s Learn from Each Other!" The project emerged from long-standing contacts between the staff of the Centre for Regional Studies of the Hungarian Academy of Sciences and the Institute of Geography at the Faculty of Science, Pavol Jozef Šafárik University in Košice, as a natural effort to expand mutual cooperation. The first step was collaboration within Interreg II projects, involving a broad range of institutions from both academic and non-academic environments. This initial attempt was unsuccessful due to administrative errors. Consequently, a project titled HUSK/0801/1.6.1/0003 "Tanuljunk egymástól!/Let’s Learn from Each Other!" was prepared and developed in agreement with the Hungarian side. It was approved and co-financed by the European Regional Development Fund under the Hungary-Slovakia Cross-Border Cooperation Program 2007–2013.

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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

Andrea Morovská Turoňová

The discovery of radioactivity at the turn of the 19th and 20th centuries stimulated the rapid development of nuclear sciences. At the interface between nuclear physics and chemistry, disciplines such as radiochemistry, radiation chemistry and nuclear chemistry were formed.

The aim of the Nuclear Chemistry course which is taught at the PF UPJŠ is to provide basic knowledge, with an emphasis on the general value of the subject. It is important to make available the basics of various methods, techniques and their specifics in the application of nuclear phenomena in chemistry and related fields. Emphasis is also placed on the use of correct terminology, knowledge of the context of relationships and basic principles, supplemented by illustrative concrete cases.

The choice of material is rather difficult, but we count on additional monographs and textbooks to fill in the gaps of these teaching texts.

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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

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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Jana Šandrejová - Andrea Gajdošová (eds.)

The scientific book of abstracts from the conference „Novel Trends in Chemistry, Research and Education 2024“ is a summary of the contributions of conference participants, which contain the original results of their scientific and research activities. The contributions published in this volume are divided according to content into the fields of analytical, inorganic, organic, physical chemistry, biochemistry and didactics of chemistry.

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Božena Mihalíková - Ondrej Hutník - Jozef Kiseľák

The textbook is devoted to the mathematical analysis of infinite series of numbers and functions. It is intended for students of mathematics, physics and computer science, as well as interdisciplinary study of combination with mathematics. It contains a theoretical background for investigating the convergence of infinite series, expanding functions into power and Taylor series, as well as the use of these results in various problems of mathematics, physics, and computer science. Using the historical background the textbook clarifies the motivations and the need to introduce some key concepts and their further development. Basic concepts and statements are demonstrated on a large number of solved exercises, but it contains a number of exercises for independent practice. Several results are supplemented by dynamic animations executable in the electronic version of the textbook.

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E-publication
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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E-book

Marián Kireš - Renáta Orosová a kol.

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