58Cxx Calculus on manifolds; nonlinear operators [See also 47Hxx]

• 58C05 Real-valued functions
• 58C06 Set valued and function-space valued mappings [See also 47H04, 54C60]
• 58C07 Continuity properties of mappings
• 58C10 Holomorphic maps [See also 32-XX]
• 58C15 Implicit function theorems; global Newton methods
• 58C20 Differentiation theory (Gateaux, Fr\'echet, etc.) [See also 26Exx, 46G05]
• 58C25 Differentiable maps
• 58C27 Singularities of differentiable maps [See also 14B05, 14E15, 32Sxx]
• 58C28 Catastrophes [See also 57R70, 58Exx]
• 58C30 Fixed-point theorems on manifolds [See also 47H10]
• 58C35 Integration on manifolds; measures on manifolds [See also 28Cxx]
• 58C40 Spectral theory; eigenvalue problems [See also 47H12, 58E07]
• 58C50 Analysis on supermanifolds or graded manifolds
• 58C99 None of the above, but in this section