Array ( [0] => Array ( [title] => L25A [link] => https://www.youtube.com/embed/CnPpREsbQPo ) [1] => Array ( [title] => L25B [link] => https://www.youtube.com/embed/LAAmq9O5spw ) [2] => Array ( [title] => L25C [link] => https://www.youtube.com/embed/brnQ9P5zq24 ) [3] => Array ( [title] => L25D [link] => https://www.youtube.com/embed/RwzR5Uz5B9c ) ) 國立清華大學開放式課程OpenCourseWare(NTHU, OCW) - 第25講 9.2 Fubini's thm

Title

第25講 9.2 Fubini's thm

第1節

L25A

第2節

L25B

第3節

L25C

第4節

L25D

Syllabus

章節大綱


L25_A
        9.2 Fubini's thm
              (1) Thm (Fubini's thm)
              (2) Cor 

L25_B
        9.2 Fubini's thm
              (1)Remark: 1.analogous corollary
                               2.Fubini's idea
              (2)Thm (for rectangles)
        9.3 Change of variables Theorem
              (1)Thm (Change of variables Theorem)
 
    
L25_C
        9.3 Change of variables Theorem
             (1)Thm (Change of variables Theorem)
             (2)Remark: 1.Polar coordinate
                                2.|Jg| and 1/|Jg| 
        9.6 A note on the Lebesque's integral(自行閱覽)
        9.7 Interchange of limit operations(自行閱覽)
              Chapter 10 Fouruer Analysis
      (Review)
        1.8 The complex numbers
              (1)Definition
              (2)Property: The set C of complex number is a field
 
L25_D
        (Review)
        1.8 The complex numbers
              (1)Property: Suppose z=x+iy,w=u+iv 
              (2)Cor: normed space
              (3)Property: THe sequence Z->z in (C,1,1)