517.2/.5Дифференциальное и интегральное исчисление. Дифференциальные и интегральные уравнения. Теория функций
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Автор: Абрамян Михаил Эдуардович
Ростов н/Д.: Изд-во ЮФУ
The textbook contains lecture material for the first semester of the course on
mathematical analysis and includes the following topics: the limit of a sequence, the
limit of a function, continuous functions, differentiable functions (up to Taylor's
formula, L'Hospital's rule, and the study of functions by differential calculus methods). A useful feature of the book is the possibility of studying the course material at the same time as viewing a set of 22 video lectures recorded by the author and available on youtube.com. Sections and subsections of the textbook are provided with information about the lecture number, the start time of the corresponding fragment and the duration of this fragment. In the electronic version of the textbook, this information is presented as hyperlinks, allowing reader to immediately view the required fragment of the lecture.
An additional goal of the English-language version is to enable English-speaking students to familiarize <...> , since all video lectures are subtitled in English. <...> Two versions of the book (Russian and English) can also be used by students to study the features of <...> , and for English-speaking students studying Russian. <...> In addition, one can note the textbook [1, 2], which is available in Russian and English version.
Предпросмотр: Lectures on Differential Calculus of Functions of One Variable.pdf (0,2 Мб)
Автор: Абрамян М. Э.
Ростов н/Д.: Изд-во ЮФУ
The textbook contains lecture material for the second part of the course on
math-ematical analysis and includes the following topics: indefinite integral, definite
inte-gral and its geometric applications, improper integral, numerical series,
functional sequences and series, power series, Fourier series. A useful feature of
the book is the possibility of studying the course material at the same time as
viewing video lectures recorded by the author and available on youtube.com. Sections and subsections of the textbook are provided with information about the
lecture number, the start time of the corresponding fragment and the duration of
this fragment. In the electronic version of the textbook, this information is presented as hyperlinks, allowing reader to immediately view the required fragment
of the lecture.
features: relationship with the set of video lectures and the presence of two versions: in Russian and English <...> Books [3, 10, 17] can be mentioned as additional sources in English that are closest to Russian textbooks <...> the top of each specified page, a set of hyperlinks is displayed with titles in Russian and then in English <...> series P1k=1 uk(x) converges absolutely P1k=1 ak and converges, uniformly then on the E. initial In English
Предпросмотр: Lectures on integral calculus of functions of one variable and series theory.pdf (0,5 Мб)