開放式課程>>自然科學學群>>高等微積分二>>第10講 7.1 Inverse Function Theorem (cont.)

第10講 7.1 Inverse Function Theorem (cont.)


L10_A
        7.1 Inverse Function thm
              (1)claim 2: We assume that Df(0)=I (cont.)
    
L10_B
        7.1 Inverse Function thm
              (1)Claim 4: The inverse f-1 is cont. on D(0,r/2)
              (2)Discussion: differentiability
 
 
L10_C
        7.1 Inverse Function thm
              (1)Claim 4: The inverse f-1 is cont. on D(0,r/2) (cont.)
              (2)Claim 5: The inverse f-1 is diff. from D(0,r0) to D(0,r) 
   
L10_D
        7.1 Inverse Function thm
              (1)Claim 5: The inverse f-1 is diff. from D(0,r0) to
                              D(0,r) 
              (2)Claim 6: The inverse f-1 is od class C^p
              (3)Remark : Inverse function thm is useful 
              (4)examples
 

L10_E
        7.1補充
             (1)Note
             (2)Definition   

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