## Mathematics Subject Classification – MSC2010

General reference works (handbooks, dictionaries, bibliographies, etc.) 25

Instructional exposition (textbooks, tutorial papers, etc.) 404

Research exposition (monographs, survey articles) 1201

Explicit machine computation and programs (not the theory of computation or programming) 218

Enumerative problems (combinatorial problems) 1293

Several complex variables and analytic spaces [For infinite-dimensional holomorphy, see 46G20, 58B12] 43883

Compact analytic spaces [For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx] 2564

Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.) 318

Inner product spaces and their generalizations, Hilbert spaces [For function spaces, see 46Exx] 4754

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) 1758

Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) [See also 22D25, 47Lxx] 22810

General reference works (handbooks, dictionaries, bibliographies, etc.) 43

Instructional exposition (textbooks, tutorial papers, etc.) 1404

Research exposition (monographs, survey articles) 467

Explicit machine computation and programs (not the theory of computation or programming) 218

Ring geometry (Hjelmslev, Barbilian, etc.) 368

Ring geometry (Hjelmslev, Barbilian, etc.) 364

Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) [See also 14M15] 311

Geometry and physics (should also be assigned at least one other classification number from Sections 70--86) 318

Geometry and physics (should also be assigned at least one other classification number from Sections 70--86) 309

General reference works (handbooks, dictionaries, bibliographies, etc.) 10

Instructional exposition (textbooks, tutorial papers, etc.) 206

Research exposition (monographs, survey articles) 403

Explicit machine computation and programs (not the theory of computation or programming) 195

Lattice polytopes (including relations with commutative algebra and algebraic geometry) [See also 06A11, 13F20, 13Hxx] 1004

Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx] 113308

General reference works (handbooks, dictionaries, bibliographies, etc.) 35

Instructional exposition (textbooks, tutorial papers, etc.) 958

Research exposition (monographs, survey articles) 1844

Explicit machine computation and programs (not the theory of computation or programming) 170

Integral geometry [See also 52A22, 60D05]; differential forms, currents, etc. [See mainly 58Axx] 2223

Differential topology [For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx] 19526

Noncommutative geometry (à la Connes) 1124

Numerical approximation and computational geometry (primarily algorithms) [For theory, see 41-XX and 68Uxx] 32340

Computer science [For papers involving machine computations and programs in a specific mathematical area, see Section --04 in that area] 338849

Mechanics of particles and systems [For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX] 61044

Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) [See also 11H31] 400