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تحليل حقيقي 3532
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Real analysis
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كــــــــلــــيــــــة :
التربية
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قـــــــــــســـــــم :
قسم الفيزياء
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الفصل الدراسي:
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الــمــســتــــوى :
الفرقة الثالثة
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كـــــود المقـرر :
10322Mat
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توصيف المقرر :
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المحتوى العلمي:
Review on the real number,
axiom for the real numbers,
open and closed set of real
numbers, continuous
functions - Continuity and uniform
continuity of real functions,
sequence and infinite series
of real numbers extreme
value theorem, Bolzno-
Weierstrass theorem and
Heine-Borel - Lebesgue integral :
definition and basic
properties, some key
theorems, passing to the limit
in Lebesgue integrals, the
Lebesgue integral over a set
of finite measure and the
Remiann integral - Differentiation :
differentiation of indefinite
Lebesgue integral functions
of bounded, integral
functions of bounded
variation, Reconstruction of a
function from to derivative - Fubini’s theorem : the
stieltjes integral, the spaces
L1 and L2
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