1. Mathematical analysis 1 term
The distance course of higher mathematics
NRNU MEPHI
Mathematical analysis
1 term
Lecture 1
Sets, numbers, mappings
11 of september 2014 year
Lecturer: Docent of NRNU MEPHI, c.p.-m.s.
Grishin Sergey Anatolyevich 1

2. Operations with sets

3. Algebra of sets 3

4. Example 4

5. Examples of formulas in algebra of sets5

6. Real numbers 6

7. Axioms of real numbers 7

8. Consequences from axioms8

9. Least upper, greatest lower bound9

10. Theorems about sup and inf10

11. Lemma about the embedded segments11

12. Contractive segments 12

13. Mappings of sets 13

14. Injectiveness,surjectiveness,biuniqueness14

15. Countability of Q 15

16. Uncountability of segment16

17. Examples of mappings 17

18. Questions for examination18

19. Thank you for за attention!
The distance course of higher mathematics NRNU MEPHI
Mathematical analysis.
Sets, numbers, mappings.
Lecture 1
Is completed.
Thank you for за attention!
Subject of the next lecture:
Complex numbers.
Lecture will be on Thursday 18 of september
at of the Moscow time. 19