Навчальні та наукові видання видавництва СумДУ
Permanent URI for this collectionhttps://devessuir.sumdu.edu.ua/handle/123456789/180
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Item Mathematical Models in Physics(Sumy State University, 2023) Лисенко, Олександр Володимирович (ЕлІТ); Лысенко, Александр Владимирович (ЕлІТ); Lysenko, Oleksandr Volodymyrovych (ЕлІТ); Волк, Юрій Юрійович; Волк, Юрий Юрьевич; Volk, Yurii YuriiovychPhysics is one of the most fundamental sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, a prosthetic leg, or even a better mousetrap without first understanding the basic laws of physics.Item Discrete Mathematics and Theory of Algorithms(Sumy State University, 2022) Дворниченко, Аліна Василівна; Дворниченко, Алина Васильевна; Dvornychenko, Alina Vasylivna; Лисенко, Олександр Володимирович (ЕлІТ); Лысенко, Александр Владимирович (ЕлІТ); Lysenko, Oleksandr Volodymyrovych (ЕлІТ)A discrete mathematics and theory of algorithms course has more than one purpose. Students should learn a particular set of mathematical facts and how to apply them; more importantly, such a course should teach students how to think logically and mathematically. To achieve these goals, this text stresses mathematical reasoning and the different ways problems are solved. Two important themes are interwoven in this text: inductions and recursions and counting. A successful discrete mathematics and theory of algorithms course should carefully blend and balance two these themes. In the lecture materials, we used a number of books, among which we will single out the wonderful book by [1]. In the second part of the lecture notes, we consider the following sections: “Inductions and Recursions” and “Counting”.Item Discrete Mathematics and Theory of Algorithms(Sumy State University, 2022) Дворниченко, Аліна Василівна; Дворниченко, Алина Васильевна; Dvornychenko, Alina Vasylivna; Лисенко, Олександр Володимирович (ЕлІТ); Лысенко, Александр Владимирович (ЕлІТ); Lysenko, Oleksandr Volodymyrovych (ЕлІТ)A discrete mathematics and theory of algorithms course has more than one purpose. Students should learn a particular set of mathematical facts and how to apply them; more importantly, such a course should teach students how to think logically and mathematically. To achieve these goals, this text stresses mathematical reasoning and the different ways problems are solved. Five important themes are interwoven in this text: mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and applications and modeling. A successful discrete mathematics and theory of algorithms course should carefully blend and balance all five themes.