## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 401

Research exposition (monographs, survey articles) 1193

Explicit machine computation and programs (not the theory of computation or programming) 212

Enumerative problems (combinatorial problems) 1281

Several complex variables and analytic spaces [For infinite-dimensional holomorphy, see 46G20, 58B12] 43511

Compact analytic spaces [For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx] 2548

Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.) 312

Inner product spaces and their generalizations, Hilbert spaces [For function spaces, see 46Exx] 4714

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) 1733

Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) [See also 22D25, 47Lxx] 22582

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

Instructional exposition (textbooks, tutorial papers, etc.) 1394

Research exposition (monographs, survey articles) 467

Explicit machine computation and programs (not the theory of computation or programming) 217

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] 309

Geometry and physics (should also be assigned at least one other classification number from Sections 70--86) 306

Geometry and physics (should also be assigned at least one other classification number from Sections 70--86) 299

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

Instructional exposition (textbooks, tutorial papers, etc.) 200

Research exposition (monographs, survey articles) 395

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] 973

Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx] 112217

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

Instructional exposition (textbooks, tutorial papers, etc.) 949

Research exposition (monographs, survey articles) 1837

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] 2212

Differential topology [For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx] 19405

Noncommutative geometry (à la Connes) 1107

Numerical approximation and computational geometry (primarily algorithms) [For theory, see 41-XX and 68Uxx] 32055

Computer science [For papers involving machine computations and programs in a specific mathematical area, see Section --04 in that area] 334467

Mechanics of particles and systems [For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX] 60361

Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) [See also 11H31] 397