تحليل حقيقي 3532 lphffdf
كــــــــلــــيــــــة : التربية قـــــــــــســـــــم : قسم الفيزياء
الفصل الدراسي: الــمــســتــــوى : الفرقة الثالثة
كـــــود المقـرر : 10322Mat توصيف المقرر :       ▼
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