関数解析学のオンライン講義を,Youtube動画で。コロラド大の授業
大学の数学で,「関数解析学」を学ぶことのできるオンライン講義の動画。
コロラド大学での講義の様子。
講義ページ
Taught by Dr. Greg Morrow, Math 535, Applied Functional Analysis is an introduction to the basic concepts, methods and applications of functional analysis. Topics covered will include metric spaces, normed spaces, Hilbert spaces, linear operators, spectral theory, fixed point theorems and approximation theorems
内容:測度空間,ノルム空間,ヒルベルト空間,線形作用素,スペクトル理論,不動点定理など。
前半
- 1. Functional Analysis - Lecture 1 - UCCS MathOnline
- 2. Functional Analysis - Lecture 2 - UCCS MathOnline
- 3. Functional Analysis - Lecture 3 - UCCS MathOnline
- 4. Functional Analysis - Lecture 4 - UCCS MathOnline
- 5. Functional Analysis - Lecture 5 - UCCS MathOnline
- 6. Functional Analysis - Lecture 6 - UCCS MathOnline
- 7. Functional Analysis - Lecture 7 - UCCS MathOnline
- 8. Functional Analysis - Lecture 8 - UCCS MathOnline
- 9. Functional Analysis - Lecture 9 - UCCS MathOnline
- 10. Functional Analysis - Lecture 10 - UCCS MathOnline
- 11. Functional Analysis - Lecture 11 - UCCS MathOnline
- 12. Functional Analysis - Lecture 12 - UCCS MathOnline
- 13. Functional Analysis - Lecture 13 - UCCS MathOnline
- 14. Functional Analysis - Lecture 14 - UCCS MathOnline
- 15. Functional Analysis - Lecture 15 - UCCS MathOnline
後半
- 16. Functional Analysis - Lecture 16 - UCCS MathOnline
- 17. Functional Analysis - Lecture 17 - UCCS MathOnline
- 18. Functional Analysis - Lecture 18 - UCCS MathOnline
- 19. Functional Analysis - Lecture 19 - UCCS MathOnline
- 20. Functional Analysis - Lecture 20 - UCCS MathOnline
- 21. Functional Analysis - Lecture 21 - UCCS MathOnline
- 22. Functional Analysis - Lecture 22 - UCCS MathOnline
- 23. Functional Analysis - Lecture 23 - UCCS MathOnline
- 24. Functional Analysis - Lecture 24 - UCCS MathOnline
- 25. Functional Analysis - Lecture 25 - UCCS MathOnline
- 26. Functional Analysis - Lecture 26 - UCCS MathOnline
- 27. Functional Analysis - Lecture 27 - UCCS MathOnline
- 28. Functional Analysis - Lecture 28 - UCCS MathOnline
- 29. Functional Analysis - Lecture 29 - UCCS MathOnline