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Integral and measure : = from rather...

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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020 $a 9781848217690 $q (hbk.) : $c US133.95
020 $a 1848217692 $q (hbk.)
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040 $a YDXCP $b eng $c YDXCP $d OCLCO $d UKMGB $d LTSCA $d OCLCQ $d ORC $d COV
050 4 $a QA312 $b .M33 2014
082 0 4 $a 515/.42 $2 23
100 1 $a Mackevičius, Vigirdas. $3 2184902
245 1 0 $a Integral and measure : $b from rather simple to rather complex / $c Vigirdas Mackevičius.
260 $a London : $b ISTE ; $a Hoboken, NJ : $b Wiley, $c 2014.
300 $a xiv, 281 p. : $b ill. ; $c 24 cm.
490 1 $a Mathematics and statistics series
504 $a Includes bibliographical references (p. [277]-278) and index.
505 0 $a 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.
650 0 $a Integrals, Generalized. $3 544186
830 0 $a Mathematics and statistics series (ISTE) $3 2184903