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Файл:Lectures on integral calculus of functions of one variable and series theory
.pdf
Index 251
the first mean value theorem, 72
the first theorem on the additivity
of a definite integral with respect
to the integration segment, 65
the fundamental theorem
of calculus, 81
the second Abel theorem
on the convergence of a power
series, 187
the second mean value theorem, 73
the second theorem on the additivity
of a definite integral with respect
to the integration segment, 66
the third mean value theorem, 74
triangle inequality for the norm
of a vector, 214
Weierstrass test for uniform
convergence of a functional
series, 172
Weierstrass theorem on the uniform
approximation of continuous
periodic functions by trigonometric
polynomials, 231
Triangle inequality for the norm
of a vector, 214
Universal trigonometric substitution, 28
Vector function, 106
continuous, 108
differentiable, 109
its coordinate functions, 107
Weierstrass test for uniform convergence
of a functional series, 172
Weierstrass theorem on the uniform
approximation of continuous
functions by polynomials, 232
Weierstrass theorem on the uniform
approximation of continuous
periodic functions by trigonometric
polynomials, 231
Educational edition
Abramyan Mikhail Eduardovich
Lectures on integral calculus
of functions of one variable
and series theory
Computer typesetting by M. E. Abramyan
Бумага офсетная. Формат 60×84 1/16. Тираж 30 экз.
Подписано в печать 18.06.2021 г.
Усл. печ. лист. 14,65. Уч. изд. л. 9,5. Заказ № 8058.
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