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Please note that in the second half of 2009, MSC2010 is deployed in the production of ZMATH and will become official standard in January 2010.

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58-XX Global analysis, analysis on manifolds {For geometric integration theory, see 49Q15} → ZMATH
58Cxx Calculus on manifolds; nonlinear operators [See also 46Txx, 47Hxx, 47Jxx] → ZMATH
58C05 Real-valued functions → ZMATH
58C06 Set valued and function-space valued mappings [See also 47H04, 54C60] → ZMATH
58C07 Continuity properties of mappings → ZMATH
58C10 Holomorphic maps [See also 32-XX] → ZMATH
58C15 Implicit function theorems; global Newton methods → ZMATH
58C20 Differentiation theory (Gateaux, Fr├ęchet, etc.) [See also 26Exx, 46G05] → ZMATH
58C25 Differentiable maps → ZMATH
58C30 Fixed point theorems on manifolds [See also 47H10] → ZMATH
58C35 Integration on manifolds; measures on manifolds [See also 28Cxx] → ZMATH
58C40 Spectral theory; eigenvalue problems [See also 47J10, 58E07] → ZMATH
58C50 Analysis on supermanifolds or graded manifolds → ZMATH
58C99 None of the above, but in this section → ZMATH
Abel prize 2010
I. M. Gelfand 1913-2009

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