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  • Faculty:: Prírodovedecká fakulta
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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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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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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Doménové steny a ich dynamika

Doménové steny a ich dynamika

E-book

E-book

Rastislav Varga

The movement of domain walls in ferromagnetic materials is utilized in various magnetic devices for storing, processing, or transmitting signals and information. This mainly includes transformer cores, various sensors, memory devices (e.g., HDDs in PCs), as well as modern spintronic devices such as Racetrack memories, domain wall motion-based electronics, and so on.

This book is intended to serve as a textbook for advanced courses in the field of magnetic materials. It is primarily aimed at students interested in studying magnetic materials, as well as professionals from various fields who wish to understand the basics of domain structure and its changes. It is divided into nine chapters. The first chapter deals with a brief history of the study of domain structure in magnetic materials. The second chapter provides an introduction to the causes and manifestations of magnetic anisotropies. The third and fourth chapters are devoted to the causes of domain structure formation and domain walls. The fifth chapter discusses the structure of domain walls, their potential, and the critical field required for domain wall movement. The sixth chapter is dedicated to magnetization processes, one of which - domain wall movement - is discussed in detail in chapter 7. The eighth chapter contains a theoretical solution for domain wall movement. The final ninth chapter presents a modern method of domain wall movement induced by electric current.

The presented work assumes that the reader has at least basic knowledge in the field of magnetism. Otherwise, the author refers the reader to basic literature (e.g., [2.1 - 2.6]).

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Tvorba úloh pre programátorské súťaže

Tvorba úloh pre programátorské súťaže

E-book

E-book

Ľubomír ŠnajderJán Guniš

The publication lists interim results of qualitative educational research focused on the development and evaluation of programming tasks being carried out by authors since 2005 in the frame of programming competition PALMA junior.

The publication consists of three chapters: Computer science competitions in Slovakia, Tasks in computer science education, Selected problems of PALMA junior competition. The first chapter provides an overview of computer science competitions for a primary and secondary schools in Slovakia. The second chapter described the issue of learning tasks - their components, focus, formulation types, and development system of tasks. The third chapter contains the assignments and commented author solutions of selected problems represented focus of PALMA junior competition – programming, algorithms and mathematics.

For each problem is mentioned analysis of pupils’ solutions aimed to ways of thinking, typical misconceptions, sets of preparatory and extended problems. The publication is addressed to computer science teacher trainers, authors of programming competitions problems, and computer science teachers.  

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UNINFOS 2014 • Univerzitné informačné systémy (Zborník príspevkov)

UNINFOS 2014 • Univerzitné informačné systémy...

E-book

E-book

Gabriel Semanišin - Emil HutňanJana Oleničová

The proceedings contain contributions from participants of the UNIFOS 2014 conference, University Information Systems in Košice, which took place from October 27 to 29, 2014.

ICT centers are important element that provide functioning and development hardware and software infrastructure at Slovak Universities. There are more differences between them in real position, management, personal sources and financing. ICT centers provide a wide range of services to large number of university users and they implement the policy of information security recently.

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UNINFOS 2014 • Univerzitné informačné systémy (Zborník abstraktov)

UNINFOS 2014 • Univerzitné informačné systémy...

E-book

E-book

Gabriel Semanišin - Emil Hutňan - Jana Oleničová

The proceedings contain abstracts of contributions from participants of the UNIFOS 2014 conference, University Information Systems in Košice, which took place from October 27 to 29, 2014.

ICT centers are important element that provide functioning and development hardware and software infrastructure at Slovak Universities. There are more differences between them in real position, management, personal sources and financing. ICT centers provide a wide range of services to large number of university users and they implement the policy of information security recently.

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Základy astronómie a astrofyziky

Základy astronómie a astrofyziky

E-book

E-book

Rudolf Gális

The presented work provides basic knowledge of astronomy and astrophysics in a completely new multimedia format. The scope of the knowledge presented is mainly focused on stellar astrophysics and supplemented by cosmology beyond the title of the work.

A new approach in this work is the large proportion of visual materials, graphs, and video clips, contrasted with the brevity of the accompanying text. Such a form of presenting knowledge in this field is unprecedented in Slovakia, and therefore this work can be considered a completely innovative piece. It should be emphasized that the engaging form of the presented knowledge does not come at the expense of its content. The work contains all the necessary information that a physics student, especially one with a pedagogical focus, should master. The work can also be an invaluable aid to teachers in secondary and even primary schools, as well as professional astronomers in popularizing astronomical knowledge.

This suggests that the work covers a relatively wide range of needs at various institutions dealing with astronomy, from universities, through faculties of education and grammar schools, to observatories, planetariums, and astronomy clubs.

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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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Fotonika

Fotonika

E-book

E-book

Gregor Bánó

Photonics is an application-oriented discipline at the interface of optics, opto-electronics and quantum optics. It includes classical optics extended by the description of physical phenomena and optical devices that rely on quantum (photon) nature of light.
The main objective of the Photonics course is to provide a comprehensive overview of essential optical and photonic phenomena routinely applied in experimental scientific research while working with various light sources (e.g. in the field of biophotonics). The first chapters are devoted to the description of light at different levels. The logical order of subsections in this part corresponds to the structure of the textbook: B. E. A. Saleh, M. C. Teich, Fundamentals of Photonics. The following chapters contain a description of laser operation and an overview of selected optical instruments and their applications.
The body text is complemented by practical notes on the use of theoretical knowledge during daily work in the laboratory. The course of Photonics requires a basic knowledge of mathematics, electromagnetism and optics, and thus it is recommended to students who previously passed through the courses of the Bachelor's program in Physics.

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Študentská vedecká konferencia PF UPJŠ 2016

Študentská vedecká konferencia PF UPJŠ 2016

E-book

E-book

Vladimír Zeleňák (ed.)

Proceedings of Abstracts of the Student Scientific Conference of the Faculty of Science, Pavol Jozef Šafárik University in Košice

A characteristic feature of education at high-quality universities — among which the Faculty of Science at Pavol Jozef Šafárik University (UPJŠ) in Košice proudly belongs — is the close connection between education and scientific research. Students gain knowledge in their field of study not only through theoretical coursework in individual disciplines, but also through active involvement in solving specific scientific tasks as part of research teams. This can occur during the development of final theses or through participation in the Student Research Assistant Program (ŠPVS), which was revitalized at the faculty in 2015.

The Student Scientific Conference (ŠVK) is one of the faculty’s traditional events, organized during the Faculty’s Science Days as part of Sciencefest. By its very nature, it fits seamlessly into the aforementioned framework of combining education with research, and it has long enjoyed great popularity and student interest. In 2016, the conference featured presentations by 125 students of the Faculty of Science at UPJŠ in Košice, across 16 thematic sections. This collection of abstracts provides an overview of the focus and goals of the student projects. We believe it will serve as inspiration for other potential participants of future conferences and will also be of interest to the broader public, offering additional insight into the faculty's activities.

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Cell Biophysics II

Cell Biophysics II

E-book

E-book

Katarína Štrofeková

Cell Biophysics II is the one semester comprehensive course textbook for PhD students. It encompasses basic principles and mechanisms underlying cell physiology and biophysics with aims:

• General knowledge of the principles of cellular function, including membrane, cytoplasmic and nuclear roles in normal and abnormal conditions.
• In-depth understanding of the mechanisms underlying the cell functions at the molecular and subcellular level.
• Awareness of cell pathologies that lead to specific disease symptoms and phenotypes.
• The ability to apply learned principles to solve new problems (analysis & synthesis).

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Cognitive neuroscience of auditory and cross-modal perception - Lectures and assignments

Cognitive neuroscience of auditory and...

E-book

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/

Bádateľsky orientované vyučovanie matematiky a informatiky na stredných školách

Bádateľsky orientované vyučovanie matematiky a...

E-book

E-book

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

Špeciálne praktikum II - Štúdium magnetických vlastností tuhých látok

Špeciálne praktikum II - Štúdium magnetických...

E-book

E-book

Erik Čižmár

The textbook "Special Practicum II" is dedicated to describing experimental methods used for studying the magnetic properties of solid materials, especially low-dimensional and molecular magnets. It subsequently contains instructions for the practical exercise "Special Practicum II," during which master's and doctoral students use state-of-the-art commercial equipment-an electron paramagnetic resonance (EPR) spectrometer and a SQUID magnetometer.

The introductory chapter briefly describes the origin of magnetism in solids, the role of the crystal field, and magnetic interactions in explaining their magnetic properties. This is followed by an explanation of the principles of EPR, the operation of the EPR spectrometer, and the optimization of its parameters for the specific practical exercise.

The next part of the textbook is devoted to an overview of the behavior of magnetic quantities with changes in magnetic field or temperature in various types of magnets. The textbook concludes with a description of the operating principle of the SQUID magnetometer and an example of its use in a practical exercise measuring the magnetic moment.

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50 rokov katedry organickej chémie

50 rokov katedry organickej chémie

E-book

E-book

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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Zbierka príkladov z atómovej a jadrovej fyziky

Zbierka príkladov z atómovej a jadrovej fyziky

E-book

E-book

Janka Vrláková - Adela Kravčáková - Stanislav Vokál

The presented "Collection of Problems in Atomic and Nuclear Physics" is intended as a basic study material for lectures in General Physics IV in the second year of the bachelor's single-subject physics program and interdisciplinary studies combined with physics at the Faculty of Science of P. J. Šafárik University in Košice.

Its aim is to support independent student work and to deepen the acquired knowledge from the given physics course by solving selected problems. It is divided into three main parts: Atomic Physics, Nuclear Physics, and Experimental Methods of Nuclear Physics.

Each thematic chapter contains an overview of basic concepts, relations, and formulas necessary for better understanding of sample problems and for solving the attached set of unsolved problems.

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Zoogeografia

Zoogeografia

€12.50
Availability: 10 In Stock

Ľubomír Kováč

Učebný text „Zoogeografia“ objasňuje základné princípy a historický vývoj rozšírenia živočíchov na Zemi, a ďalej analyzuje faktory, ktoré ho ovplyvňujú. Vďaka moderným vedeckým metódam a technikám výskumu je zoogeografia veľmi dynamicky sa rozvíjajúcou disciplínou. Z geologických etáp je podrobnejšie spracovaná problematika paleoklimatických cyklov kvartéru, holocénu a vývoja postglaciálnej klímy, ktoré zohrali významnú úlohu pri dynamike vývoja živočíšnych areálov. Areálová analýza charakterizuje a triedi areály živočíchov a ich dynamiku v nadväznosti na speciáciu. Podrobne je spracovaná problematika zoogeografických oblastí s dôrazom na palearktickú oblasť. Časť zameraná na dynamickú zoogeografiu rieši najmä problematiku refúgií a reliktov v súvislosti s vývojom pleistocénnej paleoklímy. Text stručnou formou sumarizuje základné antropogénne faktory, ktoré v recentnej dobe drastickým spôsobom limitujú rozšírenie živočíchov v rýchlo ubúdajúcom prírodnom prostredí na Zemi. Text ďalej prehľadným spôsobom charakterizuje biogeografiu Karpát a faunu územia Slovenska. Záverečná časť prezentuje fylogeografiu ako modernú vednú disciplínu zameranú na rekonštrukciu migračných ciest v postglaciáli, ktorá je podložená analýzou molekulárnych markerov populácií živočíchov v širšom geografickom kontexte. 

Autor

Pravdepodobnosť v príkladoch
  • On sale!
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Pravdepodobnosť v príkladoch

€10.39 €1.00 -€9.39
Availability: 87 In Stock

Valéria Skřivánková 

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

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

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Základné fyzikálne praktikum II.
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Základné fyzikálne praktikum II.

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Peter Kollár a kol. 

Skriptá Základné fyzikálne praktikum II. sú určené pre študentov Prírodovedeckej fakulty UPJŠ v Košiciach študujúcich na študijných programoch fyzika a medziodborových programoch v kombinácii s fyzikou. Obsahom skrípt sú úlohy z elektriny, magnetizmu a optiky. Podľa študijných programov sú zaradené do 3.semestra bakalárskeho štúdia, v ktorom by už študenti mali mať absolvovaný predmet všeobecná fyzika II. (elektrina a magnetizmus). Súčasťou každej úlohy sú základné poznatky venované javom, ktoré sú obsahom samotnej úlohy.

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Bioanorganická chémia I.
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Bioanorganická chémia I.

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Availability: 50 In Stock

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.

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Matematika pre nematematické odbory
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Matematika pre nematematické odbory

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Availability: 134 In Stock

Danica StudenovskáTomáš Madaras 

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

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

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

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Zbierka úloh z matematiky pre nematematické odbory
  • On sale!
  • -€7.79

Zbierka úloh z matematiky pre nematematické odbory

€8.79 €1.00 -€7.79
Availability: 45 In Stock

Danica Studenovská a kol. 

Táto zbierka úloh je určená poslucháčom Prírodovedeckej fakulty UPJŠ, ktorí sa v rámci predmetu Matematika I. zoznamujú s pojmami funkcie, limity, derivácie, integrálu a ich aplikáciami. Ide najmä o študentov nematematických odborov a učiteľských kombinácií, avšak táto zbierka je vhodná aj pre iných študentov a záujemcov o základy matematickej analýzy.

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