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  • Categories: Science
  • Year of publication:: 2012
  • Year of publication:: 2017
  • Year of publication:: 2017
  • Year of publication:: 2017
  • Year of publication:: 2021
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Výučba programovania internetu vecí s využitím matematického modelovania a analýzy dát
  • New

Výučba programovania internetu vecí s využitím...

E-book

E-book

Katarína Brinziková

This teaching guide for instructing students in Internet of Things programming using mathematical modeling and data analysis is intended for mathematics and computer science teachers in elementary and secondary schools, as well as for students training to teach these subjects. It responds to the requirements of the new curriculum reform in Slovakia, which emphasizes a cyclical learning process, the development of data, digital, and mathematical literacy, and the integration of teaching with real-world problems and technologies. The guide is designed in accordance with the methodological framework of design-based research. It contains technological and methodological foundations, as well as a set of proven teaching activities divided into three levels of difficulty. The teaching guide provides teachers with specific instructions, recommendations, and examples of best practices for the meaningful integration of IoT and mathematical modeling into teaching across different educational cycles, creating space for modern, interdisciplinary, and data-driven education.

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Jarná škola doktorandov 2026
  • New

Jarná škola doktorandov 2026

E-book

E-book

Monika Halánová (ed.)

On May 25 -28. 2026, Stará Lesná will host the 12th year of the university-wide event ‘Spring School of Doctoral Students of Pavol Jozef Šafárik University in Košice’. As part of the professional program, there will be six plenary lectures by prominent experts from Pavol Jozef Šafárik University in Košice and two workshops will be held. A total of 49 full-time doctoral students will present the results of their scientific research work, of which 21 doctoral students in the section of medical and natural sciences (Faculty of Medicine/Faculty of Science) and 28 doctoral students in the section of social sciences and humanities (Faculty of Law/Faculty of Public Administration/Faculty of Arts).

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The 10th International Conference on Novel Materials Fundamentals and Applications
  • New

The 10th International Conference on Novel...

E-book

E-book

Soňa Király(ed.)
The proceedings of the international conference titled "The 10th International Conference on Novel Materials Fundamentals and Applications, NFA 2025" consist of 44 papers submitted by conference participants. This conference focuses primarily on new materials, from theory to practical application, with the aim of demonstrating how fundamental discoveries can lead to innovative applications. All contributions are inspiring and professionally prepared.
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Informačné systémy o území a inteligentné mestá
  • New

Informačné systémy o území a inteligentné mestá

E-book

E-book

Jaroslav Hofierka

The lecture notes "Land Information Systems and Smart Cities" provides a comprehensive overview of geoinformation technologies within the context of public administration and modern land management. The publication systematically explains the principles of Land Information Systems (LIS), their architecture, components, and practical applications. Emphasis is placed on linking GIS technologies with real-world applications in local governments, infrastructure organizations, and the business sector. The text covers the hardware and software equipment of LIS, including modern trends such as cloud computing, open-source solutions, and the integration of artificial intelligence.

Special attention is given to data, which represent a key component of LIS, including an overview of the most important geospatial data products in Slovakia. The publication analyzes WebGIS technologies, map portals, and OGC standards (WMS, WFS, WCS) in detail, which enable the effective accessibility and sharing of geodata. A significant part is also dedicated to the National Infrastructure for Spatial Information (NIPI) and the INSPIRE Directive, ensuring data interoperability at both national and European levels.

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Book of Abstracts: International Meeting on Advanced Materials

Book of Abstracts: International Meeting on...

E-book

E-book

Soňa Király (ed.) 

The Book of Abstracts of the International Conference on Advanced Materials IMAM 2026 consists of contributions from the participants of this scientific event. The proceedings contain 22 abstracts presenting current research results in the field of advanced materials and their applications across various scientific and technological disciplines. The contributions focus mainly on the development of new materials, electrochemical sensors, energy systems, and biomedical applications. All abstracts are prepared at a professional level and provide an overview of current trends in advanced materials research.

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Metódy určovania štruktúry, spektrálne metódy - Zbierka úloh z NMR, IČ a MS spektier

Metódy určovania štruktúry, spektrálne metódy -...

E-book

E-book

Zuzana Kudličková Monika Tvrdoňová Ján Elečko
This elektronic material provides practical guidance for determining the structure of organic compounds using nuclear magnetic resonance (NMR) spectroscopy, infrared (IR) spectroscopy, and mass spectrometry (MS). The publication is intended primarily for single-discipline undergraduate and interdisciplinary undergraduate students in chemistry as a supplementary material for the course Methods of Structure Determination – Spectroscopic Methods. The text is divided into four parts: NMR, IR, MS, and exercises on combined structural analysis. Each section includes a brief theoretical introduction, practical tips for spectrum interpretation, solved examples, and especially unsolved exercises that allow students to practice analyzing real spectra. The material supports the development of analytical thinking and the ability to unambiguously determine the structure of unknown compounds. The publication was created as a teaching aid for seminars. Its goal is to help students effectively understand the combination of spectroscopic methods and their application in the structural analysis of organic compounds.
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Porous Materials for Environmental Applications 2026

Porous Materials for Environmental Applications...

E-book

E-book

Miroslav Almáši  Nikolas Király   eds.

The conference proceedings of Porous Materials for Environmental Applications 2026 represent a collection of scientific and professional contributions presented at the international scientific conference held on 15–19 March 2026 in Białka Tatrzańska (Poland). The conference focused on current trends in the research of porous materials and their applications in environmental, catalytic, energy-related, and biomedical fields. The event provided an interdisciplinary platform for the exchange of the latest scientific knowledge in the design, synthesis, characterization, and practical utilization of porous materials.

Particular attention was devoted to their application in adsorption and separation processes, heterogeneous catalysis, photocatalysis, energy storage and conversion, as well as in biological and medical applications. The published abstracts reflect current challenges related to sustainable development, green technologies, and advanced materials solutions. The proceedings offer a comprehensive overview of the current state of porous materials research at the international level and document the dynamic development of this field with significant overlap into environmental chemistry, materials science, and chemical engineering.

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Programovanie v Pythone 1

Programovanie v Pythone 1

E-book

E-book

Ján GunišĽubomír Šnajder

Prílohy

College scripts Programming in Python 1 are intended for future teachers of computer science. The content of the course is related to the teaching of programming in Scratch and is an introduction to text-based programming in Python.

Programming is introduced as a means of developing problem-solving skills. The first chapter is devoted to problem solving. The next 12 chapters sequentially introduce basic language constructions, data structures, and selected types of algorithms. Each of these chapters begins with an introduction to the problem. This section is primarily intended for self-study, to prepare students for the exercises. The following subchapter summarizes and completes the knowledge, and additional insights and approaches related to the chapter topic are presented. The chapters include a collection of exercises designed to practice and deepen knowledge and skills on the topic.

The final part of the chapter presents the solved problems. This section serves as a guide to solving the problems in the collection.

i

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Spring Electrochemical Meeting. Book of Abstracts.

Spring Electrochemical Meeting. Book of Abstracts.

E-book

E-book

Jana Shepa (ed.)

The book of abstracts from the second year of the international conference Spring electrochemical meeting is composed of contributions from the participants of this student conference.

The conference consisted of one invited lecture and ten competing student lectures. The message of this meeting is to create a dialogue between students of electrochemistry and the mutual exchange of knowledge. All contributions are professionally processed and inspiring.

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Matematická analýza 3. Nekonečné číselné a funkcionálne rady

Matematická analýza 3. Nekonečné číselné a...

E-book

E-book

Božena MihalíkováOndrej HutníkJozef 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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Základy prietokovej cytometrie v rastlinnej biológii. Praktická analýza obsahu DNA v bunkovom jadre.

Základy prietokovej cytometrie v rastlinnej...

E-book

E-book

Vladislav Kolarčik

Flow cytometry is a diagnostic and research technique that enables rapid analysis of cells, nuclei and organelles of plants and other organisms. In plant biology, it is most often used for DNA content analysis in a wide range of applications. It is the method of first choice and its importance is even increasing compared to competing technologies. It is unrivaled in speed, accuracy, repeatability and low cost. Flow cytometry has become a standard tool in laboratories focused on biological-ecological plant research.

This textbook provides information on the historical development of flow cytometry and its establishment in the analysis of the plant genome. It describes the procedure of sample analysis to determine the nuclear DNA content and presents the basic applications, such as determination of genome size, ploidy level and reproduction modes of plants and determination of endopolyploidy level in plant tissues. These college textbooks are intended for students, teachers and anyone interested in the use of flow cytometry in scientific work with plant cells.

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Cvičenia z imunológie

Cvičenia z imunológie

E-book

E-book

Vlasta DemečkováPetra HradickáPetra Adamková

The learning material for the course Practice in Immunology is based on several years of experience with teaching this subject, but mainly to provide students from the Biology Department at the Faculty of Natural Sciences, UPJŠ in Košice with sufficient theoretical background for practical exercises. It also serves as a scientific diary for detailed recording of all experimental data necessary for preparing laboratory protocols from individual exercises.

In studying biology, it is essential that students thoroughly understand not only the basics of each discipline but also acquire practical skills, including designing scientific experiments, selecting appropriate analytical/investigative techniques up to interpreting and presenting experimental data. The goal of this new publication is therefore to provide master's students with a practical study guide that supports and expands their knowledge about basic immunology principles.

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Zdravé a aktívne starnutie účastníkov vzdelávania na univerzite tretieho veku a vysokoškolských študentov

Zdravé a aktívne starnutie účastníkov...

E-book

E-book

Tatiana KimákováŠtefan TóthIvan Uher

The scientific monograph is devoted to active and healthy aging, its basic indicators, involutional changes, or the relationship between healthy aging and lifestyle. Adopting a healthy lifestyle and actively participating in health care for yourself are important elements in all stages of our lives, and therefore in healthy aging. We describe the possibilities of older people to slow down the adverse changes associated with aging through education and educational activities of various types.

The scientific monograph also includes our own research focused on overall health and selected lifestyle risk factors, especially consumption of various food groups, smoking, alcohol, physical activity and stress of participants at the University of the Third Age at Pavol Jozef Šafárik University in Košice, Slovak and foreign university students at the Medical Faculty of the Pavol Jozef Šafárik University in Košice. The scientific monograph is appropriate for the scientific community, students of medical and natural sciences, public health for all three degrees of university study.

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The 5th International Conference on Nanomaterials: Fundamentals and Applications

The 5th International Conference on...

E-book

E-book

Veronika NiščákováIvana 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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Úvod do koordinačnej chémie

Úvod do koordinačnej chémie

E-book

E-book

Juraj Černák

A significant part of inorganic chemistry is coordination chemistry, which deals with coordination compounds. Coordination compounds are numerous because they arise from the combination of central atoms, mostly metals, with ligands, and every organic compound is a potential ligand. This is confirmed by a recent report that American scientists M. Brookhart, C. Schauer, and their colleagues from universities in North Carolina and Washington described the preparation of a rhodium complex with methane as a ligand.

This textbook is based on the long-term experience of the author in teaching and testing this subject. The subject is well-covered in several textbooks of varying difficulty in English; their partial list can be found by readers in the list of used literature at the end of this textbook. On the other hand, in Slovak language, coordination chemistry issues are only marginally covered in several textbooks focused more on general inorganic chemistry but lack a comprehensive view on this topic. From this follows the goal of this proposed textbook - to cover the lack of study literature in this area for Slovak language.

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Bioenergetika

Bioenergetika

E-book

E-book

Daniel JancuraErik 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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Index Seminum 2021

Index Seminum 2021

E-book

E-book

Lenka Mártonfiová

The Index Seminum 2021 of the Botanical Garden of the Pavol Jozef Šafárik University contains a list of 131 seed samples offered for the international exchange among botanical gardens on the world. It includes seeds collected from the wild plants in natural localities of Slovakia with a detailed description of the localities with coordinates and date of collection (72 samples) and seeds of plants grown in the Botanical Garden (5 samples) and seeds from Exposition of the Tatra Mountain Nature of the State Forests of Tatra National Park, Tatranská Lomnica (54 samples). The index includes a desiderata table that can be used when ordering seeds.

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Globálne navigačné satelitné systémy

Globálne navigačné satelitné systémy

E-book

E-book

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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Antioxidanty a ich význam v prevencii chronických ochorení

Antioxidanty a ich význam v prevencii...

E-book

E-book

Tatiana Kimáková - Vladimír Pavlík

The scientific monograph focuses on the characteristics of free radicals, reactive oxygen and nitrogen species, oxidative stress, and its impact on various diseases. A significant portion is dedicated to antioxidants, their classification based on multiple criteria, the characteristics of selected antioxidants in terms of their functions, manifestations of their deficiency and excess, and the overall antioxidant capacity of the body.

A special section is devoted to enzyme-based antioxidants, natural sources of antioxidants in the form of vitamins, trace elements, flavonoids, polyphenols, and coenzyme Q10. To provide a clearer understanding of antioxidants and their influence on population health, the monograph presents results from a research project included in the program "Research Support for Enhancing the Defense Capabilities of the Czech Republic in NATO Structures."

The research was conducted between 2010 and 2012 as part of preventive rehabilitation programs for professional soldiers with a sports component. The study involved 218 professional soldiers, including 180 men and 38 women, with an average age of 33.3 years. The current health status and dietary habits of the soldiers were assessed using questionnaires.

The study described the saturation of the observed group with antioxidant vitamins and statistically evaluated the relationship between their levels and the risk indicators for the development of cardiovascular diseases. Individual analyses were performed using the Reflotron device calibrated with Reflotron Precinorm control serum. Following blood collection, all participants underwent anthropometric examinations (body weight, height, waist circumference), blood pressure measurements, heart rate monitoring, and physical fitness assessments through simple functional tests.

This scientific monograph is suitable for the scientific community, students of medical, veterinary, and natural sciences, as well as public health students at all levels of university education. It is also intended for informed members of the public.

Authors

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Chemické výpočty vo všeobecnej a anorganickej chémii

Chemické výpočty vo všeobecnej a anorganickej...

E-book

E-book

Ivan Potočňák

The script is a study literature for the subject Chemical Calculations, which is a mandatory course in the bachelor's degree programs in Chemistry and Chemistry – Interdisciplinary Studies, first year. The script contains 10 chapters with a total of 207 pages, guiding students through solved and unsolved examples to help them understand the subject matter.

Author

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Ortuť v životnom prostredí ako rizikový faktor zdravia

Ortuť v životnom prostredí ako rizikový faktor...

E-book

E-book

Tatiana Kimáková

This scientific monograph is a comprehensive scientific work focused on the presence and effects of mercury in the environment, as well as the health risk factors associated with it.

The monograph presents a characterization of mercury in a multidisciplinary scope, discusses its use in industry and healthcare, and describes the negative impacts of mercury on the environment and public health. It also provides proposals and recommendations for at-risk groups. The monograph includes a comprehensive study of mercury concentration in samples of domestic and foreign production commodities and plant samples using the atomic absorption spectrometer AMA 254.

This scientific monograph is suitable for the scientific community, students of medical, veterinary, natural sciences, and agricultural fields, as well as public health students at all three levels of university study. It is also intended for all interested members of the informed public.

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Lekárska chémia -  Návody a protokoly na praktické cvičenia

Lekárska chémia - Návody a protokoly na...

E-book

E-book

Marek Stupák et al.

A well-known proverb says: "It is better to see once than to hear a hundred times." With this in mind, the electronic version of the teaching materials has been designed, as we are convinced that practical laboratory experience is irreplaceable and still holds its significance in university studies.

In the provided teaching texts, you will find a set of experiments that complement and help better understand the theoretical knowledge gained through self-study as well as lectures in an appropriate manner. Additionally, this e-version allows students, after printing and subsequently completing individual tables, observations, and conclusions, to submit them as a laboratory report that confirms they have successfully mastered the assigned tasks.

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Návody na praktické cvičenia z biotechnológie

Návody na praktické cvičenia z biotechnológie

E-book

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.

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Vybrané experimentálne úlohy z koloidiky

Vybrané experimentálne úlohy z koloidiky

E-book

E-book

Daniela Kladeková

This university text is intended for students of chemical and ecological sciences at the Faculty of Natural Sciences of the P. J. Šafárik University in Košice and is intended to serve as a tool for experimental exercises in colloid chemistry. Colloid chemistry is an important part of the theoretical basis of the chemical sciences and belongs to the newer interdisciplinary fields of natural sciences.

It combines knowledge from physical chemistry, physics and biology, while also drawing on a solid knowledge of mathematics and other scientific disciplines. Experiments are often essential in understanding the problems of colloid chemistry, modelling ideas about the phenomena and laws involved in the discipline. This is why active participation in experimental exercises is so important and essential to mastering the material in colloid chemistry.

In selecting the tasks for these scripts, it was also necessary to respect the considerable limitations imposed by the possibilities of the laboratory instrumentation and material equipment of our department. Despite this limitation, however, they can illustrate to students the basic theoretical physicochemical principles of colloid dispersion systems and, importantly, their understanding can contribute to the understanding of some of the more important peculiarities of colloidal phenomena.

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Základné fyzikálne praktikum III.

Základné fyzikálne praktikum III.

E-book

E-book

Janka Vrláková - Stanislav Vokál

Atomic and nuclear physics are relatively young scientific disciplines forming the final part of the general physics course at the Faculty of Physics of the Jagiellonian University. Their aim is to explain the nature of the basic physical properties of atoms, atomic nucleus and elementary particles.

This is also the content of the lectures and exercises ‘General Physics IV’ in the 2nd year of the Bachelor's degree in Physics at the Faculty of Natural Sciences (PF) of the P.J. Šafárik University (UPJŠ) in Košice. They are followed by optional lectures ‘Nuclear Radiation in the Environment’, ‘Introduction to the Physics of the Microworld’ in the 3rd year of the Bachelor's degree of single-discipline study of physics, or teacher study of physics in combination with another subject, and ‘Subnuclear Physics’ in the 1st year of the Master's degree of teacher study of physics in combination with another subject.

In the aforementioned lectures, the latest experimental findings on the structure and behaviour of the microworld are presented by means of physical theories and their subsequent experimental verification in experiments.

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Matematická analýza 1

Matematická analýza 1

E-book

E-book

Božena Mihalíková - Ján Ohriska

This text is intended for first-year students in 76-12-8 ‘General Education Teaching’ in combinations with mathematics. It is based on the authors' lectures and their more than ten years of experience in teaching this subject at the Faculty of Education of the University of Applied Sciences. When writing it, the authors tried to take into account the specificity of mathematics teaching studies.

The present teaching text was not written due to the lack of textbooks on mathematical analysis. The reason for writing it was the authors' findings that the students do not have sufficient experience in working with specialized literature from secondary school, the difficulties for many of them (especially in the first semesters) are caused by even a slightly different interpretation, not rarely also by a change in labeling, which makes them miss the essence of the studied problem. The authors of the text did not set out to be original. Their aim was to make such a selection of topics as is necessary for a future teacher of mathematics and to choose such a method of interpretation which, in their opinion, is suitable for first-year students.

A good mastery of the curriculum (expansion of the mathematical apparatus and the related possibilities of applying other methods of proof as well as the acquisition of the necessary numerical skills) presupposes the use of other literary sources (textbooks, collections of problems) according to the teacher's recommendation.

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Príjem a transport minerálnych látok v rastlinách

Príjem a transport minerálnych látok v rastlinách

E-book

E-book

Peter Paľove-Balang

The text ‘Uptake and transport of mineral substances in plants’ in Slovak language provides a general overview of the uptake and distribution of substances in an easy-to-understand form.

The individual chapters introduce students to the properties of the soil environment, which have a significant influence on the availability of substances, as well as the transport of substances across membranes and over medium and long distances. The text contains the latest findings from the English literature, supplemented by diagrams and graphs created by the author on the basis of his own research or by compiling several sources.

The text is intended primarily for students of a master's degree in biology or ecology and assumes at least a basic knowledge of plant physiology.

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Stresová fyziológia rastlín - Návody na cvičenia

Stresová fyziológia rastlín - Návody na cvičenia

E-book

E-book

Jozef Kováčik

These "Exercise Manuals" present a concise overview of commonly used methodologies as well as progressive techniques, such as the use of liquid chromatography and fluorescence microscopy. Individual tasks were selected based on the research focus of the Department of Botany at the Faculty of Science, Pavol Jozef Šafárik University in Košice, particularly in the context of "stress physiology."

Some tasks can also be utilized within the subject "Plant Ecology." Chamomile (Matricaria chamomilla) is typically used as a model plant for individual tasks due to its long-standing history of research at the Department of Botany and its ease of cultivation under laboratory conditions. The chapters also briefly discuss the significance of monitored parameters, principles of their determination, and metabolism (formation or degradation), aiming to indicate their mutual context.

This approach highlights that determining an individual parameter cannot provide a general explanation for the overall causes and impacts of observed changes; however, it can serve as a basis for testing hypotheses at the level of other parameters.

For deeper study of specific issues, there is an abundance of high-quality international monographs and review articles available.

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Určitý integrál

Určitý integrál

E-book

E-book

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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Zbierka úloh z fyziky elementárnych častíc

Zbierka úloh z fyziky elementárnych častíc

E-book

E-book

Marek Bombara

The collection of exercises summarises and supplements the exercises realised at the Pavol Jozef Šafárik in Košice within the lecture course Elementary Particle Physics. The collection is intended for the master students of the Nuclear and Subnuclear Physics subject, but it could be beneficial also for other physics subjects or even for interdisciplinary study. 

The division of chapters roughly copies the order of lectures. At the beginning, students will briefly familiarize themselves with the basics of special relativity and its practical use in particle physics.

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