Exactly Solvable Models in Statistical Physics

E-book

Jozef Strečka

The present textbook deals with exactly solved models and their diverse applications in several branches of physics such as mathematical physics, statistical physics, condensed matter physics and so on. Exactly soluble models are currently considered as an inspiring research field in its own right, which regrettably requires a considerable knowledge of sophisticated mathematics. Accordingly, my primary ambition was to provide an intro- ductory course for undergraduate students that would cover the simplest exactly solved models, whose rigorous solutions are available even after modest calculation. The present textbook should be therefore regarded as an auxiliary graduate-level textbook, which should serve as the student’s guide on this beautiful but surely intricate subject.

Download the e-book for free (pdf)

Quantity

978-80-7097-795-8

Data sheet

Method of publication:
E-book (pdf)
Author:
Jozef Strečka
Document type:
Course Notes
Number of pages:
101
Available from:
22.02.2010
Year of publication:
2010
Edition:
1st edition
Publication language:
English
Faculty:
Prírodovedecká fakulta
- Free for download

16 other products in the same category:

EFFUSE – River Landscape, Volume 2: Guidelines...

E-book

E-publication

Beáta Valkay ed.
Ivana Slepáková-Andrej Mock a kol.

The publication EFFUSE – River Landscape, Volume 2: Guidelines for Experts, developed within the EFFUSE project, is intended for professionals in the field of environmental sciences. It provides recommendations for research in river landscapes and highlights their importance for understanding ecological processes. The text presents bioindicators as a key tool for assessing landscape health and biodiversity conservation. A dedicated section explains why studying river landscapes as natural laboratories is essential. The publication also includes a practical manual for the Olympus DSX-1000 High End Model microscope, expanding opportunities in scientific education and research. In this way, it combines theoretical guidelines with modern technologies that enhance environmental knowledge.

Download the e-book for free (pdf)

Systematika cievnatých rastlín, 5. vydanie

E-book

E-book

Pavol Mártonfi

The university textbook deals with the latest knowledge from the systematics of vascular plants in a clear manner. Vascular plants arose in the Silurian period in the Paleozoic, when the first primitive plants moved from water to dry land, which required evolutionary progress in the morphological and anatomical structure of these plants. During about 420 million years of the existence of vascular plants, several of their main groups have evolved: the spore vascular plants, including the lycopods (branch Lycopodiophyta) and group of ferns and related plants (branch Monilophyta), and the seed plants, including gymnosperms (branch Gymnospermae) and angiosperms ( Angiospermae), which currently dominate among plants. The textbook provides a brief but comprehensive overview of the main groups, orders and families of plants with their description, distribution, main representatives, while also addressing the useful properties of selected species. The work is complemented by an overview of the system of plants by Cronquist, Tachtadžjan, APG and an overview of the families of the Slovak flora, as well as a taxonomic index.

Download e-book for free (pdf)

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.

Download e-book for free (pdf)

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.

Download the e-book for free (pdf)

Vybrané heterocyklické zlúčeniny

E-book

E-book

Mariana Budovská

The aim of writing the university textbook "Selected Heterocyclic Compounds" was to create a study aid for students of the Organic Chemistry program, which provides essential information in a clear format for the subject of Heterocyclic Compounds. In selecting the content of the textbook, the goal was to present basic information about the chemistry of the most significant heterocycles. Given that the summary of chemical knowledge about heterocycles is vast, it was not possible to include all heterocyclic compounds in the content.

The intention was for readers to orient themselves in the field of heterocyclic compounds. Separate chapters included in the content address the nomenclature of heterocycles, basic chemical properties of individual heterocycles, their synthesis and reactions, the occurrence of heterocycles in nature, and their practical applications (medications, dyes, pesticides, detergents, etc.).

Download e-book for free (pdf)

Predictive Modeling of Soil Types and Their...

E-book

E-book

Vasyl Cherlinka - Michal Gallay - Yuryi Dmytruk

The textbook is a practical guide to predictive mapping of soil types and properties in R. It bridges digital soil mapping theory with hands-on practice, covering the full workflow from data acquisition and preprocessing to validation and uncertainty quantification. Early chapters introduce the tidyverse ecosystem and the sf and terra packages for spatial data handling. Subsequent parts address modelling of categorical variables (soil types/WRB) and continuous variables (soil organic carbon) using Random Forest, Cubist, and Quantile Regression Forests. Step-by-step code examples show training/testing, feature selection, accuracy metrics, and model interpretation. Reproducibility and cartographic best practice are emphasised. A Slovakia case study demonstrates real-world application while outlining limits and generalisability. The book targets bachelor’s, master’s, and PhD students in geography, geoinformatics, environmental and agricultural sciences, as well as practitioners. Written in English, it fits international courses and mobility programmes.

Download the e-book for free (pdf)

EFFUSE Scientific education for advanced

E-book

E-publication

Beáta Valkay ed.
Ivana Slepáková-Monika Balogová a kol.

EFFUSE - Scientific Education for Advanced is an educational material designed for university students interested in ecological sciences, biology and environmental protection. The publication was developed as part of the EFFUSE project and focuses on the scientific investigation of living organisms in the river ecosystem, with an emphasis on their ecological role and importance as bioindicators. The river ecosystem is a dynamic environment where a wide range of organisms can be studied, from algae and phytoplankton to aquatic invertebrates, fish, amphibians and reptiles. This publication presents a detailed study of their adaptations, life cycles, reproductive strategies and their importance for ecological balance. Particular attention is paid to fish and amphibians, whose environmental demands and sensitivity to pollution make them important indicators of water quality and environmental status. The publication also provides guidance on how to integrate their study into university education in the form of practical research. It also includes a chapter on science education in the context of sustainable development, which is often absent from university curricula in Slovakia and Ukraine. This material promotes the link between theory and practice and develops students' scientific thinking in order to prepare them to meet the environmental challenges of the future.

Download the e-book for free (pdf)

Prehľad dejín biológie, lekárstva a farmácie

E-book

E-book

Martin BačkorMiriam Bačkorová

The proposed text focuses on the history of studying biology, medicine, and pharmacy as scientific disciplines from prehistoric times through antiquity, the Middle Ages, and the modern era. The text chronologically organizes the most significant figures in the history of biological scientific disciplines, outlines key characteristics of major historical discoveries, and reevaluates their significance from the perspective of 21st-century science.

The educational text is chronologically divided into the most significant periods of civilization development. The last two completed centuries—the 19th and 20th—are subdivided into major life science fields due to the unprecedented growth of biological disciplines and the resulting volume of acquired information.

Since it can sometimes be challenging in science to define what constitutes the past versus the present of a particular discipline, we have excluded significant biological discoveries from the early 21st century, which are typically regarded as the “present” of biology.

Download the e-book for free (pdf)

FORMATÍVNE 2025. Spoločne pri implementácii...

E-book

E-publication

Mária Ganajová-Ivana Sotáková-Petra Letošníková

The conference proceedings FORMATIVE 2025 – Implementing Formative Assessment in Schools Together constitute the output of an online conference organised by the Institute of Chemical Sciences, Faculty of Science, Pavol Jozef Šafárik University in Košice, in cooperation with the National Institute of Education and Youth in Bratislava, within the framework of the KEGA project No. 001UPJŠ-4/2023. These proceedings present current knowledge, experience, and examples of good practice in implementing formative assessment in primary, secondary, and university teaching, with an emphasis on the use of digital tools. The papers address the foundations of formative assessment in the context of curricular changes and the ongoing educational reform, as well as specific didactic procedures for its implementation in the teaching of science and social science subjects, including mathematics, Slovak language, and foreign languages. Particular attention is paid to the development of professional teaching competences, formative assessment strategies, providing targeted feedback, and promoting students’ active participation in the assessment process. These proceedings also present the Digilib digital library, a tool developed to support the creation and management of formative assessment processes within the school environment. This publication is intended for experts in pedagogy and didactics, teachers at all levels of education, student teachers, digital coordinators, and all those interested in educational innovation and in improving the quality of teaching through formative assessment.

Download the e-book for free

Bibliography of the amphibian and reptile...

E-book

E-book

Marcel UhrinDavid JandzikAndrej ČerňanskýMichal RindošBlanka LehotskáStanislav DankoJán KautmanPeter MikulíčekPeter UrbanDaniel Jablonski

Bibliographies provide basic scientific information, illustrate quality and intensity of research in a particular topic, area, or time, and thus help build a cultural-historical perspective of society’s appreciation of knowledge and education. Here we provide a bibliography of herpetological research in the region of Slovakia between the years 1791 and 2017. We collected 2,183 references authored by 1,453 different authors and covering all species of amphibians (18) and reptiles (13) occurring in Slovakia and, in addition, amphibian and reptile taxa occurring in 94 other countries.

Most of the contributions were published in popular magazines and non-indexed journals, while only about 12% of all references represent scientific articles from journals indexed in relevant scientific databases. The extensiveness of study on amphibians and reptiles has varied among different periods within the selected time frame. However, an obvious intensification in the field of herpetology can be observed, especially during the second half of the 20th century. While there have only been few professionals specialized in herpetology, an important role in promoting the research and conservation of amphibians and reptiles in Slovakia has been played by non-governmental organizations and hobbyists. The most frequent type of herpetological data in the referenced literature comes from faunistic research, followed by conservation and general information on herpetofauna, with the majority of published articles in indexed journals coming from the fields of palaeontology, phylogeography, and population genetics.

The presented bibliography is the first step towards building a solid base for future systematic herpetological research in the country and Central Europe.

Download the e-book for free (pdf)

Anatomické termíny pre štúdium anatómie človeka...

E-book

E-book

Juraj Ševc - Anna Alexovič Matiašová

Among students of single-discipline and interdisciplinary biology studies at faculties with a natural science focus, there often arises a problem in defining the scope of the curriculum when studying the subject of Human Anatomy. The presented study material aims to help students of non-medical scientific fields navigate the extensive anatomical terminology and to limit the amount of required anatomical terms to an optimum, so that alongside mastering Latin nomenclature, students still have sufficient capacity to memorize additional knowledge in the areas of systemic, comparative, developmental, and functional anatomy.

Emphasis on organizing individual anatomical terms into logical units simultaneously supports a hierarchical view of the architecture of the human body. Despite its seemingly self-serving nature, anatomical terminology thus becomes the framework upon which students build knowledge from more or less related scientific disciplines studying the human body and the processes occurring within it throughout their further studies. At the same time, alongside this ambition that goes beyond the scope of the anatomy discipline, the Anatomical Terms follow a long tradition of anatomical handbooks while respecting the valid Latin and Slovak anatomical nomenclature.

This script represents a practical supplement to university textbooks of Anatomy or Neuroanatomy and especially to anatomical atlases, but it certainly does not aim to replace them. Here you will find all the necessary terms gathered in one place, which you can always have at hand on your phone, e-reader, or laptop. The emphasis on organizing individual anatomical terms into logical units supports a hierarchical view of the architecture of the human body, and the inclusion of a brief introduction to each system is intended to encourage you to seek further, more detailed information about the structure and function of the given organ system.

Download the e-book for free (pdf)

Jarná škola doktorandov 2022

E-book

E-book

Peter Fedoročko (eds.)

From June 14 to June 17, 2022, the 8th annual Spring School for Doctoral Students at Pavol Jozef Šafárik University in Košice will take place in Liptovský Ján. The scientific program of the spring school will comprise 3 plenary lectures by leading scientific experts and 1 workshop. Doctoral students will present their research papers in two sections: 22 doctoral students of Faculty of Public Administration, Faculty of Law and Faculty of Arts, and 26 doctoral students of Faculty of Medicine and Faculty of Science. The scientific programme of the spring school will also include a panel discussion with the management of Pavol Jozef Šafárik University in Košice.

Download the e-book for free (pdf)

Návody na cvičenia z fyziológie rastlín

E-book

E-book

Miroslav Repčák - Martin Bačkor - Peter Paľove-Balang - Silvia Gajdošová

The establishment of the Plant Physiology Laboratory at the Department of Botany, Faculty of Arts, Pavol Jozef Šafárik University in Košice in 1969 was associated with the name of Ing. Štefan Kocúrik, CSc. (1923–2006), who also prepared the first "Instructions for Exercises in Plant Physiology" (Košice 1972, 1976).

Since 1980, the manual by Associate Professor RNDr. Karol Erdelský, CSc., and Ing. Fridrich Frič, DrSc., titled "Practicum and Analytical Methods in Plant Physiology" (Bratislava 1980) has been used. With the increase in the number of students, it became relevant in 1991 to publish the "Instructions for Exercises in Plant Physiology" again to improve preparation and the efficient organization of practical work. Associate Professor RNDr. A. Košturiak, CSc., contributed significantly to the expansion of the introductory part of the instructions with his valuable advice, for which the authors are grateful. For the fourth edition, some tasks were updated and modernized, taking into account the possibilities of the renovated laboratory. The selection of tasks was adapted to the current scope of exercises for individual plant physiology subjects within the bachelor's and master's study programs in biology and ecology. These subjects include: Plant Physiology, Plant Metabolism, Mineral Nutrition of Plants, Plant Growth and Development, and Plant Ecology. Some tasks are also suitable for high school experiments.

The choice of topics was influenced by the research focus of our workplace on secondary metabolism, ecophysiology, and medicinal plants. The instructions generally adhere to the SI unit system, occasionally including other commonly used units.

Download the e-book for free (pdf)

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.

Download the e-book for free (pdf)

Zbierka úloh z matematickej analýzy III.
  • On sale!
  • -€12.62

Zbierka úloh z matematickej analýzy III.

€13.62 €1.00 -€12.62
Availability: 9 In Stock

Ondrej Hutník a kol. 

Zbierka úloh z matematickej analýzy III. je pokračovaním predchádzajúcich dvoch vydaných zbierok autorov Kulcsár a Kulcsárová. Táto časť obsahuje príklady na zopakovanie a precvičenie učiva stredných škôl, ako aj časti prvého semestra kurzu matematická analýza určeného pre študentov matematiky, fyziky, informatiky a učiteľského štúdia v kombinácii s matematikou. Zbierka môže tiež pomôcť všetkým učiteľom, ktorí chcú použiť rôzne úlohy vo svojom vyučovaní. Zbierka zahŕňa oblasť postupností reálnych čísel: aritmetické a geometrické postupnosti, všeobecne a rekurentne zadané postupnosti, nachádzajú sa tu úlohy na vyšetrovanie vlastností postupností (monotónnosť, ohraničenosť, konvergencia) a výpočet rôznych typov limít. Všetky zadané úlohy sú vyriešené na konci každej kapitoly s podrobným komentárom.

Autori

Book of Abstracts: International Meeting on...

E-book

E-book

Soňa Király (ed.)

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

Download the e-book for free (pdf)

This website uses cookies to ensure you get the best experience on our website