## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 417

Research exposition (monographs, survey articles) 1243

Explicit machine computation and programs (not the theory of computation or programming) 228

Enumerative problems (combinatorial problems) 1315

Several complex variables and analytic spaces [For infinite-dimensional holomorphy, see 46G20, 58B12] 44957

Compact analytic spaces [For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx] 2606

Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.) 327

Inner product spaces and their generalizations, Hilbert spaces [For function spaces, see 46Exx] 4826

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) 1791

Selfadjoint operator algebras (\(C^*\)-algebras, von Neumann (\(W^*\)-) algebras, etc.) [See also 22D25, 47Lxx] 23275

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

Instructional exposition (textbooks, tutorial papers, etc.) 1428

Research exposition (monographs, survey articles) 471

Explicit machine computation and programs (not the theory of computation or programming) 219

Ring geometry (Hjelmslev, Barbilian, etc.) 373

Ring geometry (Hjelmslev, Barbilian, etc.) 368

Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) [See also 14M15] 320

Geometry and physics (should also be assigned at least one other classification number from Sections 70–86) 328

Geometry and physics (should also be assigned at least one other classification number from Sections 70–86) 319

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

Instructional exposition (textbooks, tutorial papers, etc.) 212

Research exposition (monographs, survey articles) 416

Explicit machine computation and programs (not the theory of computation or programming) 201

Lattice polytopes (including relations with commutative algebra and algebraic geometry) [See also 06A11, 13F20, 13Hxx] 1059

Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx] 115980

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

Instructional exposition (textbooks, tutorial papers, etc.) 977

Research exposition (monographs, survey articles) 1887

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] 2252

Differential topology [For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx] 19825

Noncommutative geometry (à la Connes) 1155

Numerical approximation and computational geometry (primarily algorithms) [For theory, see 41-XX and 68Uxx] 33233

Computer science [For papers involving machine computations and programs in a specific mathematical area, see Section –04 in that area] 346696

Mechanics of particles and systems [For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX] 62217

Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) [See also 11H31] 408