Matematická analýza 3. Nekonečné číselné a funkcionálne rady

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Authors:Božena Mihalíková • Ondrej Hutník • Jozef Kiseľák
Year of publication:2021
Available from:12.05.2021
Edition:1st edition
Document type:Academic textbook - scripts
Publication language:Slovak
Number of pages:196
Faculty:Faculty of Science
Licencia:Creative Commons BY NC ND (Uveďte autora - Nepoužívajte komerčne - Nespracovávajte)

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The textbook is devoted to the mathematical analysis of infinite series of numbers and functions. It is intended for students of mathematics, physics and computer science, as well as interdisciplinary study of combination with mathematics. It contains a theoretical background for investigating the convergence of infinite series, expanding functions into power and Taylor series, as well as the use of these results in various problems of mathematics, physics, and computer science. Using the historical background the textbook clarifies the motivations and the need to introduce some key concepts and their further development. Basic concepts and statements are demonstrated on a large number of solved exercises, but it contains a number of exercises for independent practice. Several results are supplemented by dynamic animations executable in the electronic version of the textbook.

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