## Mathematical Subject Classification – MSC2010

General reference works (handbooks, dictionaries, bibliographies, etc.) 17

Instructional exposition (textbooks, tutorial papers, etc.) 362

Research exposition (monographs, survey articles) 1023

Explicit machine computation and programs (not the theory of computation or programming) 190

Enumerative problems (combinatorial problems) 1173

Several complex variables and analytic spaces [For infinite-dimensional holomorphy, see 46G20, 58B12] 39603

Compact analytic spaces [For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx] 2373

Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.) 278

Inner product spaces and their generalizations, Hilbert spaces [For function spaces, see 46Exx] 4401

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) 1588

Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) [See also 22D25, 47Lxx] 20349

General reference works (handbooks, dictionaries, bibliographies, etc.) 41

Instructional exposition (textbooks, tutorial papers, etc.) 1269

Research exposition (monographs, survey articles) 441

Explicit machine computation and programs (not the theory of computation or programming) 196

Ring geometry (Hjelmslev, Barbilian, etc.) 354

Ring geometry (Hjelmslev, Barbilian, etc.) 352

Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) [See also 14M15] 289

Geometry and physics (should also be assigned at least one other classification number from Sections 70--86) 265

Geometry and physics (should also be assigned at least one other classification number from Sections 70--86) 259

General reference works (handbooks, dictionaries, bibliographies, etc.) 8

Instructional exposition (textbooks, tutorial papers, etc.) 174

Research exposition (monographs, survey articles) 377

Explicit machine computation and programs (not the theory of computation or programming) 186

Lattice polytopes (including relations with commutative algebra and algebraic geometry) [See also 06A11, 13F20, 13Hxx] 766

Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx] 100860

General reference works (handbooks, dictionaries, bibliographies, etc.) 28

Instructional exposition (textbooks, tutorial papers, etc.) 847

Research exposition (monographs, survey articles) 1646

Explicit machine computation and programs (not the theory of computation or programming) 167

Integral geometry [See also 52A22, 60D05]; differential forms, currents, etc. [See mainly 58Axx] 2050

Differential topology [For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx] 17969

Noncommutative geometry (à la Connes) 948

Numerical approximation and computational geometry (primarily algorithms) [For theory, see 41-XX and 68Uxx] 28920

Computer science [For papers involving machine computations and programs in a specific mathematical area, see Section --04 in that area] 299546

Mechanics of particles and systems [For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX] 55229

Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) [See also 11H31] 364