Teória vypočítateľnosti

 Ľubomír Panigaj - Peter Ľuptáčik 

(Náčrt systému a fylogenézy)

Učebný text je primárne určený pre študentov jednoodborového štúdia biológie a všeobecnej ekológie, ako aj odborom učiteľského štúdia v rôznych kombináciách s biológiou. Venuje sa v nich opisu jednotlivých skupín živočíchov, ich morfológiu a anatómiu ilustruje na obrazových materiáloch. K jednotlivým morfologickým a anatomickým štruktúram sa v texte nevyjadrujeme podrobnejšie, nakoľko text nadväzuje na predmet Porovnávacia morfológia živočíchov, kde na úrovni organológie boli tieto najvýznamnejšie štruktúry v rámci prednášok a cvičení detailne vysvetlené a opísané. Rozsah učebného textu nie je veľký, podávame v ňom základné minimum poznatkov, čo je podmienené jednak rozsahom predmetu, ktorý je len jednosemestrový, jednak tým, že ďalšie, špecializované predmety rozširujú spektrum poznatkov napr. na úrovni entomológie, hydrobiológie alebo pôdnej biológie. V zavere niektorých kapitol formulujeme niekoľko cvičných otázok, ktoré si študenti môžu na základe predchádzajúceho textu zodpovedať, s podobnými otázkami sa totiž môžu stretnúť na skúške alebo na štátniciach.

Autori

 Andrej Oriňak - Renáta Oriňaková - Andrea Fedorková

Nanotechnology represent the fastest developing science in the present. They are based on the technologies that enable the matter manipulation at atomic level. Nanotechnology offer prepartion of the new materials with unknown and very specific properties and functions.Recent nanotechnology still stay in formative phase of their development. But more and more they are visible with nano-specific phenomenons in the fundamental control of the properties as well mater behaviour. This is quite possible that without nanotechnology will not work any science to the future, moreover that science will not exist anymore. Nanotechnolgy will give a chance and force to transform world to more environmental and comfortable. Expected is expansion of the nanotechnolgy to molecular nanosystems – heterogenous nets, in which molecules and supramolecules work as the nanodevices. The computers and robots will be reduced to the small and ultrasmall dimensions. In medicine will foremost the application of nanotechnology in genetic therapy and elimination of ageing. Nanosurgery will work at molecular level, cancer cells will be identified early and filtered , then substituted with healthy and unchanged. It is necessary to inform university or high school students  about principles of nanotechnolgy, preparation of the nanostructures, functionality of them and to offer full representation about molecular systems and nanodevices; the methods of nanostructures characterization and about application in miniaturized systems. 

Authors

E-book

Vladimír Zeleňák (ed.)

The publication contains abstracts of contributions presented at the Student Scientific Conference of the Faculty of Natural Sciences at UPJŠ in Košice, held on April 25, 2013. The event was marked by the celebration of the 50th anniversary of the Faculty of Natural Sciences at UPJŠ and was part of a series of events called ScienceFest.

Download the e-book for free (pdf)

E-book

Jozef Strečka

Over the past fifteen years, the course on ’Exactly Solvable Models in Statistical Physics’ has become an indispensable ground of the study programme ’Theoretical Physics’ at Faculty of Science of Pavol Jozef Šafarik University in Košice. At first, the course based on the first edition of this textbook was intended for undergraduate students only, however, I have later prepared follow-up course taught at a postgraduate level on demand of several ambitious students who wished to continue in studying this exciting research field.

It is already more than decade when our students enrolled in the study programme ’Theoretical Physics’ graduate from ’Introduction to Exactly Solvable Models in Statistical Physics’ at a master level and ’Exactly Solvable Models in Statistical Physics’ at a postgraduate level. Of course, it was necessary somehow to rearrange topics for the courses of undergraduate and postgraduate students.

More specifically, a few more challenging topics concerned with exact solutions of 2D Ising model (chapter 3) were moved to a more advanced course intended for the postgraduate students, while an introductory course intended for the undergraduate students was contrarily supplemented with a few new topics requiring the second edition of this textbook.

The second edition of this textbook thus contains a completely new chapter 4 devoted to the exact solution of the Ising model on the Bethe lattice using the method of exact recursion relations, while the chapter 5 was supplemented by exact results for ground state of a few frustrated Heisenberg spin models using the variational method. It is my hope that the next edition of this textbook will come soon and it will involve all topics specifically taught within the postgraduate course as well. 

Download the e-book for free  (pdf)