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Integral and measure : = from rather...
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Mackevičius, Vigirdas.
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Integral and measure : = from rather simple to rather complex /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Integral and measure :/ Vigirdas Mackevičius.
其他題名:
from rather simple to rather complex /
作者:
Mackevičius, Vigirdas.
出版者:
London :ISTE ; : 2014.,
面頁冊數:
xiv, 281 p. :ill. ;24 cm.
內容註:
Part 1: Integration of one-variable functions -- Functions without second-kind discontinuities -- Indefinite integral -- Definite integral -- Applications of the integral -- Other definitions: Riemann and Stieltjes integrals -- Improper integrals -- Part 2: Integration of several-variable functions -- Additional properties of step functions -- Lebesgue integral -- Fubini and change-of-variables theorems -- Applications of multiple integrals -- Parameter-dependent integrals -- Measure and integration in a measure space -- Families of sets -- Measure spaces -- Extension of measure -- Lebesgue-Stieltjes measures on the real line and distribution functions --- Measurable mappings and real measurable functions -- Convergence almost everywhere and convergence in measure -- Integral -- Product of two measure spaces.
標題:
Integrals, Generalized. -
ISBN:
9781848217690
Integral and measure : = from rather simple to rather complex /
Mackevičius, Vigirdas.
Integral and measure :
from rather simple to rather complex /Vigirdas Mackevičius. - London :ISTE ;2014. - xiv, 281 p. :ill. ;24 cm. - Mathematics and statistics series. - Mathematics and statistics series (ISTE).
Includes bibliographical references (p. [277]-278) and index.
Part 1: Integration of one-variable functions -- Functions without second-kind discontinuities -- Indefinite integral -- Definite integral -- Applications of the integral -- Other definitions: Riemann and Stieltjes integrals -- Improper integrals -- Part 2: Integration of several-variable functions -- Additional properties of step functions -- Lebesgue integral -- Fubini and change-of-variables theorems -- Applications of multiple integrals -- Parameter-dependent integrals -- Measure and integration in a measure space -- Families of sets -- Measure spaces -- Extension of measure -- Lebesgue-Stieltjes measures on the real line and distribution functions --- Measurable mappings and real measurable functions -- Convergence almost everywhere and convergence in measure -- Integral -- Product of two measure spaces.
ISBN: 9781848217690US133.95
LCCN: 2014945514Subjects--Topical Terms:
544186
Integrals, Generalized.
LC Class. No.: QA312 / .M33 2014
Dewey Class. No.: 515/.42
Integral and measure : = from rather simple to rather complex /
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Part 1: Integration of one-variable functions -- Functions without second-kind discontinuities -- Indefinite integral -- Definite integral -- Applications of the integral -- Other definitions: Riemann and Stieltjes integrals -- Improper integrals -- Part 2: Integration of several-variable functions -- Additional properties of step functions -- Lebesgue integral -- Fubini and change-of-variables theorems -- Applications of multiple integrals -- Parameter-dependent integrals -- Measure and integration in a measure space -- Families of sets -- Measure spaces -- Extension of measure -- Lebesgue-Stieltjes measures on the real line and distribution functions --- Measurable mappings and real measurable functions -- Convergence almost everywhere and convergence in measure -- Integral -- Product of two measure spaces.
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