Кафедра математичної фізики (КМФ)
Постійне посилання на фонд
Припинила існування 01.07.2021 згідно Наказу НУ/35/2020 від 31.12.2020
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Перегляд Кафедра математичної фізики (КМФ) за Автор "Zhuravska, Ganna V."
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Документ Відкритий доступ Higher Mathematics. Differential Calculus of a Function of One Variable. Elements of Theory(Igor Sikorsky Kyiv Polytechnic Institute, 2019) Zhuravska, Ganna V.This textbook is designed for students of the first year of technical university. It covers two content areas to be studied in the first semester: Theory of Limits and Differential Calculus of a Function of One Variable. Its content embraces all basic questions on the indicated topics. Each part contains basic mathematical conceptions and explains new mathematical terms. The most important concepts of Calculus are explained and illustrated by figures and examples. The manual contains theoretical material, which presents the basic formulas, definitions and theorems, illustrated by examples and figures, shows the basic methods of solving typical problems. The proposed manual will help students of engineering specialties studying the Differential Calculus of a Function of One Variable.Документ Відкритий доступ Higher Mathematics. Integral Calculus of a Function of One Variable. Elements of Theory(Igor Sikorsky Kyiv Polytechnic Institute, 2019) Zhuravska, Ganna V.This textbook is designed for students of the first year of technical university. It covers content area to be studied in the first and second semesters: Integral Calculus of a Function of One Variable. It is concerned with the concept of indefinite, definite and improper integrals, their properties and main techniques of integration. Also we take a look at some applications of integrals: determining area of a region, the arc length of a curve, the surface area and the volume of a solid of revolution, the center of mass and moments of inertia of a region and curve. Each part contains basic mathematical conceptions and explains new mathematical terms. The most important concepts of Integral Calculus are explained and illustrated by figures and examples. The manual contains theoretical material, which presents the basic formulas, definitions and theorems, illustrated by examples and figures, shows the basic methods of solving typical problems. The proposed manual will help students of engineering specialties studying the Integral Calculus of a Function of One Variable.Документ Відкритий доступ Higher Mathematics. Multivariable Calculus. Vector Calculus. Elements of Theory(Igor Sikorsky Kyiv Polytechnic Institute, 2021) Zhuravska, Ganna V.This textbook is designed for students of the first year of technical university. It covers three content areas to be studied in the second semester: Differential and Integral Calculus of the Multivariable Function and Vector Calculus. The manual can be helpful for students who want to study the concepts of differential calculus of multivariable functions; multiple, curvilinear and surface integrals; vector calculus. There are a lot of applications of these ideas for solving some tasks from geometry and physics. The textbook contains theoretical material, which presents the basic formulas, definitions and theorems, illustrated by examples and figures, shows the basic methods of solving typical problems. The proposed manual will help students of engineering specialties studying Higher Mathematics.Документ Відкритий доступ Higher Mathematics. Series. Elements of Theory(Igor Sikorsky Kyiv Polytechnic Institute, 2021) Zhuravska, Ganna V.This textbook is designed for students of the second year of technical university. It covers one of fundamental content area to be studied in the third semester: Series. The manual can be helpful for students who want to study the concepts of numerical, functional, power and Fourier series, their convergence and properties. There are some of applications of these ideas for solving mathematical tasks. The textbook contains theoretical material, which presents the basic formulas, definitions and theorems, illustrated by examples and figures, shows the basic methods of solving typical problems. The proposed manual will help students of engineering specialties studying Higher Mathematics.