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  • Year of publication:: 2009
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Základy štátovedy

Základy štátovedy

€18.00
Availability: 27 In Stock

Ladislav Orosz

Vysokoškolská učebnica pripravená na pôde Fakulty verejnej správy UPJŠ je primárne určená ako študijná literatúra pre výučbu viacerých študijných predmetov na tejto fakulte, ale aj iných fakultách UPJŠ. Jej obsah zodpovedá porovnateľným  učebnicovým dielam vydaným ostatnom desaťročí v Slovenskej republike. Úvodné kapitoly (I Štát a II Forma štátu) sú venované vymedzeniu a obsahovej analýze základných štátovedných pojmov (štát, suverenita štátu, štátny mechanizmus, štátny orgán, forma štátu, forma vlády, forma štátneho zriadenia, štátny režim). V III kapitole označenej nadpisom Demokratický štát autor podrobne analyzuje podstatu   demokratického    štátu,   základné   formy   výkonu   moci  v demokratickom   štáte a samostatnú podkapitolu venuje volebnému právu. V podobe exkurzu autor približuje aj nedemokratické formy štátu. V nadväzujúcej IV kapitole označenej nadpisom Právny štát autor, zvýrazňujúc organickú väzbu medzi demokratickým a právnym štátom, venuje pozornosť historickému vývoju idey právneho štátu, analýze princípov právneho štátu a základom teórie konštitucionalizmu. Učebnica vyúsťuje do záverečnej kapitoly označenej nadpisom Právne postavenie jednotlivca v demokratickom právnom štáte(ľudské práva a ich ochrana).

Obecné zriadenie – interpretácia kompetencií

Obecné zriadenie – interpretácia kompetencií

E-book

E-book

Vladimíra Žofčinová - Rastislav Král  - Viktória Kráľová

A work entitled “General Establishment - Interpretation of Competences. A peer-reviewed collection of papers from the scientific conference." is a summary output of 25 papers presented at the scientific conference, which took place online on November 9, 2021. The conference was the final activity in solving the scientific research project entitled "Competences of Municipal Self-Government and the State's Participation in Their Implementation", implemented at the Faculty of Public Administration, University P.J. Šafárik in Košice with the financial support of the Scientific Grant Agency under no. 1/0367/19. The contributions provide a multidisciplinary view of the still living topic of defining competencies in the performance of the administration of the municipal territory between the state and the municipality, as the basic unit of territorial self-government in Slovakia. The articles analyze the issue from the perspective of not only administrative or constitutional law, but it is also possible to find among them those that describe problems and propose solutions at the political and economic level.

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Sociálna ekonomika a sociálne podnikanie

Sociálna ekonomika a sociálne podnikanie

E-book

E-book

Lenka Pčolinská

The university textbook "Social Economics and Social Entrepreneurship" presents the issue of the social economy from a complex point of view and it is the first university textbook focused on the topic of social economy in Slovakia. Its aim is to contribute to the understanding of the concept of social economy, its development, basic conceptual apparatus, legislative anchoring and practical realities of social economics and social enterprises in Slovakia. The textbook discusses the basic legislative principles that need to be known when establishing a social enterprise.

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Teória verejnej politiky

Teória verejnej politiky

E-book

E-book

Stanislav Konečný

The goal of this monograph is to interpret the context of the emergence of public policy theory and the basic parameters of its subject matter—public interest, actors, and tools—as well as its methodological equipment.

The publication is also a response to the current state of development of public policy and its theory in our context, compared to its development worldwide. Today, when there is not only a very developed theory but also practice of public policy abroad, making it accessible to our readers in its full scope in the form of domestic production is almost impossible, also due to the quantitative parameters of our domestic authorial potential.

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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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Teória a prax verejnej správy (2021)

Teória a prax verejnej správy (2021)

E-book

E-book

Anna Čepelová  - Tomáš Alman (eds.)

A peer-reviewed collection of contributions from the 6th year of the international scientific conference for doctoral students, which took place on March 19, 2021 (online via MS Teams).

Doctoral studies, as the highest level of higher education, prepare students interested in further education to acquire new knowledge and creatively apply it in their future scientific work. Students of doctoral studies actively participate in obtaining new, original scientific results and thus contribute to the development of scientific knowledge in their field.

Doctoral studies play a crucial role in educating top experts. From this perspective, we consider it essential to emphasize creativity and originality in research work, the development of critical thinking, the ability to discuss specific professional problems in broader contexts, and the ability to present achieved results. The Faculty of Public Administration at P.J. Šafárik University in Košice also created space for such professional discussions and presentations of achieved results by organizing the 6th annual scientific conference "Theory and Practice of Public Administration," which took place on March 19, 2021. Public administration is an integral part of every democratic state, influencing each of our lives; therefore, discussing its current issues and familiarizing ourselves with new solutions is necessary. The scientific conference was attended by 33 participants from the Czech Republic, Poland, Ukraine, and Slovakia. The contributions presented focused on current public administration issues from legal, economic, social, and political perspectives.

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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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Sociálne a politické analýzy 2-2012

Sociálne a politické analýzy 2-2012

E-book

E-journal

Juraj Schenk a kol.

The scientific journal Sociálne a politické analýzy (Social and Political Analyses) serves as an interactive electronic platform for communication and the presentation (publication) of experts and their work in the fields of basic and applied research and analyses within sociological, psychological, political, and methodological contexts. It is a medium focused on intensively supporting research activities and analyses within an interdisciplinary framework, facilitating the exchange of experiences, fostering collaboration, and revitalizing the production of scientific work in this area.

The publication section of the journal offers space for works such as:

- Original sociological, psychological, and political studies and analyses in any areas of social life

- Methodological studies

- Research reports

- Studies from qualification theses Research and analysis projects

- Reviews

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Sociálne a politické analýzy 1-2012

Sociálne a politické analýzy 1-2012

E-book

E-journal

Juraj Schenk et al.

The scientific journal Sociálne a politické analýzy (Social and Political Analyses) serves as an interactive electronic platform for communication and the presentation (publication) of experts and their work in the fields of basic and applied research and analyses within sociological, psychological, political, and methodological contexts. It is a medium focused on intensively supporting research activities and analyses within an interdisciplinary framework, facilitating the exchange of experiences, fostering collaboration, and revitalizing the production of scientific work in this area.

The publication section of the journal offers space for works such as:

- Original sociological, psychological, and political studies and analyses in any areas of social life

- Methodological studies

- Research reports

- Studies from qualification theses Research and analysis projects

- Reviews

Download the e-journal for free (pdf)

Sociálne a politické analýzy 2-2011

Sociálne a politické analýzy 2-2011

E-book

E-journal

Juraj Schenk et al.

The scientific journal Sociálne a politické analýzy (Social and Political Analyses) serves as an interactive electronic platform for communication and the presentation (publication) of experts and their work in the fields of basic and applied research and analyses within sociological, psychological, political, and methodological contexts. It is a medium focused on intensively supporting research activities and analyses within an interdisciplinary framework, facilitating the exchange of experiences, fostering collaboration, and revitalizing the production of scientific work in this area.

The publication section of the journal offers space for works such as:

- Original sociological, psychological, and political studies and analyses in any areas of social life

- Methodological studies

- Research reports

- Studies from qualification theses Research and analysis projects

- Reviews

Download the e-journal for free (pdf)

Sociálne a politické analýzy 1-2011

Sociálne a politické analýzy 1-2011

E-book

E-journal

Juraj Schenk et al.

The scientific journal Sociálne a politické analýzy (Social and Political Analyses) serves as an interactive electronic platform for communication and the presentation (publication) of experts and their work in the fields of basic and applied research and analyses within sociological, psychological, political, and methodological contexts. It is a medium focused on intensively supporting research activities and analyses within an interdisciplinary framework, facilitating the exchange of experiences, fostering collaboration, and revitalizing the production of scientific work in this area.

The publication section of the journal offers space for works such as:

- Original sociological, psychological, and political studies and analyses in any areas of social life

- Methodological studies

- Research reports

- Studies from qualification theses Research and analysis projects

- Reviews

Download the e-journal for free (pdf)

Sociálne a politické analýzy 2-2009

Sociálne a politické analýzy 2-2009

E-book

E-journal

Juraj Schenk et al.

The scientific journal Sociálne a politické analýzy (Social and Political Analyses) serves as an interactive electronic platform for communication and the presentation (publication) of experts and their work in the fields of basic and applied research and analyses within sociological, psychological, political, and methodological contexts. It is a medium focused on intensively supporting research activities and analyses within an interdisciplinary framework, facilitating the exchange of experiences, fostering collaboration, and revitalizing the production of scientific work in this area.

The publication section of the journal offers space for works such as:

- Original sociological, psychological, and political studies and analyses in any areas of social life

- Methodological studies

- Research reports

- Studies from qualification theses Research and analysis projects

- Reviews

Download the e-journal for free (pdf)

Sociálne a politické analýzy 1-2009

Sociálne a politické analýzy 1-2009

E-book

E-journal

Juraj Schenk et al.

 

The scientific journal Sociálne a politické analýzy (Social and Political Analyses) serves as an interactive electronic platform for communication and the presentation (publication) of experts and their work in the fields of basic and applied research and analyses within sociological, psychological, political, and methodological contexts. It is a medium focused on intensively supporting research activities and analyses within an interdisciplinary framework, facilitating the exchange of experiences, fostering collaboration, and revitalizing the production of scientific work in this area.

The publication section of the journal offers space for works such as:

- Original sociological, psychological, and political studies and analyses in any areas of social life

- Methodological studies

- Research reports

- Studies from qualification theses Research and analysis projects

- Reviews

Download the e-journal for free (pdf)

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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Ekonomické aspekty v územnej samospráve II

Ekonomické aspekty v územnej samospráve II

E-book

E-book

Eva Mihaliková - Zuzana Hrabovská (eds.)

Refereed Proceedings of the Scientific Correspondence Conference

The scientific conference is a space for exchange of experience and knowledge, presentation of results of scientific works and open electronic discussion in the field of economics and management of public administration in theory and practice.

The works are organized under the following thematic headings:

-Economics and Management in Local Government

- Financing of local government

- Current trends in the field of informatization in public administration

- Selected problems of local government marketing

- Translated with

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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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Cvičenia z biochémie mikroorganizmov

Cvičenia z biochémie mikroorganizmov

E-book

E-book

Mária Kožurková

These university textbooks are intended for first-year master's degree students at the Faculty of Natural Sciences of UPJŠ in Košice. The scope and content of the works included in these scripts are primarily based on time and spatial constraints, taking into account the material demands of the tasks.

The aim of these scripts is to teach students basic microbiological techniques and to show them the importance of microorganisms in everyday life and their crucial role in nature. The exercises are designed to enhance students' technical skills and teach them to work according to safety principles.

The text is divided into 13 parts. Each part begins with an introduction to the theory related to the practice topic. The appendix includes a proposal for the preparation of protocols for individual exercises.

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