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                ZHANG, Ruda
            
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          September 17, 2021: 
          More on homogeneous space.
          [cd4e7fe]
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                ZHANG, Ruda
            
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          September 17, 2021: 
          Correct math.
          [3f9866c]
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                ZHANG, Ruda
            
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          July 20, 2021: 
          More on homogeneous space, common Riemannian symmetric spaces.
          [07e3197]
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                ZHANG, Ruda
            
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          March 28, 2021: 
          More on product manifold; fix typo.
          [06eeb18]
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                ZHANG, Ruda
            
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          February 25, 2021: 
          Add perturbation theory for linear operators.
          [3aae292]
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                ZHANG, Ruda
            
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          February 19, 2021: 
          More on Grassmannian; Jacobi field, conjugate point.
          [ffad0c9]
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                ZHANG, Ruda
            
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          February 15, 2021: 
          Add matrix manifolds, principal angles between subspaces, Riemannian logarithm.
          [c0a0430]
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                ZHANG, Ruda
            
         | 
        
          August 07, 2020: 
          Correct math: use 1 with set subscript for characteristic function / indicator function of the set; use "[ x ]" instead of "[x]" to avoid GFM checkbox syntax.
          [1ac98ba]
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                ZHANG, Ruda
            
         | 
        
          June 05, 2020: 
          More on manifolds: curvature concepts; bounds for sectional and Ricci curvature.
          [0b35b68]
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                ZHANG, Ruda
            
         | 
        
          June 02, 2020: 
          Reorganize Differential Geometry and Calculus on Manifolds. More on manifolds: connection, Lie bracket, Riemannian submanifolds; hypersurface; sectional curvature.
          [bfeb838]
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                ZHANG, Ruda
            
         | 
        
          May 28, 2020: 
          More on manifold: geodesic, higher-order retraction, matrix manifolds, horizontal lift, C^k regular level set theorem, zero section, curvature.
          [22084b8]
         | 
      
      
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                ZHANG, Ruda
            
         | 
        
          May 09, 2020: 
          More on matrix manifolds: Stiefel, Grassmannian, etc.
          [307a811]
         | 
      
      
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                ZHANG, Ruda
            
         | 
        
          April 26, 2020: 
          More on smooth/Riemannian manifolds: connection, covariant derivative, vector fields along a curve, parallel transport; Levi-Civita connection.
          [dfc6848]
         | 
      
      
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                ZHANG, Ruda
            
         | 
        
          April 18, 2020: 
          More on geodesic, exponential map, normal and Fermi coordinates, frames, etc.
          [10265b3]
         | 
      
      
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         | 
        
            
                ZHANG, Ruda
            
         | 
        
          April 18, 2020: 
          More on normal and tubular neighborhoods of submanifolds.
          [4391a5d]
         | 
      
      
        | 
          
         | 
        
            
                ZHANG, Ruda
            
         | 
        
          March 11, 2020: 
          Edit bootstrap.
          [b9359a7]
         | 
      
      
        | 
          
         | 
        
            
                ZHANG, Ruda
            
         | 
        
          February 05, 2020: 
          More on dynamical systems.
          [72482d6]
         | 
      
      
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         | 
        
            
                ZHANG, Ruda
            
         | 
        
          January 23, 2020: 
          More on Hilbert space.
          [a81f4f5]
         | 
      
      
        | 
          
         | 
        
            
                ZHANG, Ruda
            
         | 
        
          January 21, 2020: 
          More on Hilbert space.
          [67ff8bb]
         | 
      
      
        | 
          
         | 
        
            
                ZHANG, Ruda
            
         | 
        
          January 20, 2020: 
          More on Riemannian manifolds.
          [debb35a]
         | 
      
      
        | 
          
         | 
        
            
                ZHANG, Ruda
            
         | 
        
          January 18, 2020: 
          Convert math-text words to text only when the math symbols are ASCII only.
          [e4c945c]
         | 
      
      
        | 
          
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                ZHANG, Ruda
            
         | 
        
          December 05, 2019: 
          More on manifolds, from John Marshall Lee's textbooks.
          [6ba9029]
         | 
      
      
        | 
          
         | 
        
            
                ZHANG, Ruda
            
         | 
        
          November 24, 2019: 
          Add climate econometrics; more edits.
          [a8291fb]
         | 
      
      
        | 
          
         | 
        
            
                ZHANG, Ruda
            
         | 
        
          May 22, 2019: 
          More on linear operators.
          [27de1ed]
         | 
      
      
        | 
          
         | 
        
            
                ZHANG, Ruda
            
         | 
        
          May 16, 2019: 
          More on measure space, linear operators.
          [3390fb8]
         | 
      
      
        | 
          
         | 
        
            
                ZHANG, Ruda
            
         | 
        
          April 28, 2019: 
          More on linear operators, algebra.
          [8629d3e]
         | 
      
      
        | 
          
         | 
        
            
                ZHANG, Ruda
            
         | 
        
          April 21, 2019: 
          More on analysis
          [ebac375]
         | 
      
      
        | 
          
         | 
        
            
                ZHANG, Ruda
            
         | 
        
          April 21, 2019: 
          More on algebraic topology, Hilbert space
          [b540ad4]
         | 
      
      
        | 
          
         | 
        
            
                ZHANG, Ruda
            
         | 
        
          March 31, 2019: 
          More on probabilistic models
          [ac94f7d]
         | 
      
      
        | 
          
         | 
        
            
                ZHANG, Ruda
            
         | 
        
          March 19, 2019: 
          More on topolog and geometry.
          [8fdd7fa]
         |