zbMATH - the first resource for mathematics

Category theory; homological algebra {For commutative rings, see 13Dxx; for associative rings, see 16Exx; for groups, see 20Jxx; for topological groups and related structures, see 57Txx; for algebraic topology, see also 55Nxx, 55Uxx} 28203

18Fxx

Categories in geometry and topology 3798

18F05

Local categories and functors 38

18F10

Grothendieck topologies and Grothendieck topoi [See also 14F20, 18B25] 255

18F15

Abstract manifolds and fiber bundles (category-theoretic aspects) [See also 55Rxx, 57Pxx] 281

18F20

Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) [See also 14F06, 14F08, 32C35, 32L10, 54B40, 55N30] 1132

18F25

Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects) [See also 11Exx, 11R70, 11S70, 12-XX, 13D15, 14Cxx, 16E20, 19-XX, 46L80, 57R65, 57R67] 1796

18F30

Grothendieck groups (category-theoretic aspects) [See also 13D15, 16E20, 19Axx] 262

18F40

Synthetic differential geometry, tangent categories, differential categories 0

18F50

Goodwillie calculus and functor calculus 0

18F60

Categories of topological spaces and continuous mappings [See also 54-XX] 10

18F70

Frames and locales, pointfree topology, Stone duality [See also 06D22, 18B35] 2

18F75

Quantales [See also 06F07, 18B35] 1

18F99

None of the above, but in this section 250

19-XX

\(K\)-theory [See also 16E20, 18F25] 7274

19Exx

\(K\)-theory in geometry 928

19E08

\(K\)-theory of schemes [See also 14C35] 308

19E15

Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) [See also 14C25, 14C35, 14F42] 457

19E20

Relations of \(K\)-theory with cohomology theories [See also 14Fxx] 188

19E99

None of the above, but in this section 43

20-XX

Group theory and generalizations 111944

20Fxx

Special aspects of infinite or finite groups 25821

20F70

Algebraic geometry over groups; equations over groups 220

32-XX

Several complex variables and analytic spaces {For infinite-dimensional holomorphy, see also 46G20, 58B12} 46478

32Bxx

Local analytic geometry [See also 13-XX, 14-XX] 1838

32B05

Analytic algebras and generalizations, preparation theorems 417

32B10

Germs of analytic sets, local parametrization 498

32B15

Analytic subsets of affine space 256

32B20

Semi-analytic sets, subanalytic sets, and generalizations [See also 14P15] 584

32B25

Triangulation and topological properties of semi-analytic andsubanalytic sets, and related questions 82

32B99

None of the above, but in this section 136

32Jxx

Compact analytic spaces {For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx} 2656

32J25

Transcendental methods of algebraic geometry (complex-analytic aspects) [See also 14C30] 652

34-XX

Ordinary differential equations 184424

34Cxx

Qualitative theory for ordinary differential equations [See also 37-XX] 53177

34C08

Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) 349

35-XX

Partial differential equations 333058

35Qxx

Partial differential equations of mathematical physics and other areas of application [See also 35J05, 35J10, 35K05, 35L05] 108814

35Q76

Einstein equations {For several complex variables and analytic spaces, see 32Q40; for differential geometry, see 53C07; for relativity and gravitational theory, see 83C05, 83C25, 83D05} 194

37-XX

Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] 115697

37Jxx

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems [See also 53Dxx, 70Fxx, 70Hxx] 17879

37J38

Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions 9

37J39

Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) [See also 53D20] 30

37Kxx

Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems [See also 35Axx, 35Qxx] 18113

37K20

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions [See also 14H70] 850

37K25

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry 675

46-XX

Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} 125278

46Bxx

Normed linear spaces and Banach spaces; Banach lattices {For function spaces, see 46Exx} 23662

46B20

Geometry and structure of normed linear spaces 7833

46Cxx

Inner product spaces and their generalizations, Hilbert spaces {For function spaces, see 46Exx} 4947

46C05

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) 1851

46Lxx

Selfadjoint operator algebras (\(C^*\)-algebras, von Neumann (\(W^*\)-) algebras, etc.) [See also 22D25, 47Lxx] 24079

46L87

Noncommutative differential geometry [See also 58B32, 58B34, 58J22] 1483

51-XX

Geometry {For algebraic geometry, see 14-XX; for differential geometry, see 53-XX} 35922

51-00

General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to geometry 44

51-01

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry 1458

51-02

Research exposition (monographs, survey articles) pertaining to geometry 480

51-03

History of geometry [Consider also classification numbers pertaining to Section 01-XX] 1416

51-04

Software, source code, etc. for problems pertaining to geometry 225

51-06

Proceedings, conferences, collections, etc. pertaining to geometry 285

51-08

Computational methods for problems pertaining to geometry 1

51-11

Research data for problems pertaining to geometry 0

51Axx

Linear incidence geometry 4933

51A05

General theory of linear incidence geometry and projective geometries 759

51A10

Homomorphism, automorphism and dualities in linear incidence geometry 329

51A15

Linear incidence geometric structures with parallelism 338

51A20

Configuration theorems in linear incidence geometry 529

51A25

Algebraization in linear incidence geometry [See also 12Kxx, 20N05] 382

51A30

Desarguesian and Pappian geometries 491

51A35

Non-Desarguesian affine and projective planes 415

51A40

Translation planes and spreads in linear incidence geometry 950

51A45

Incidence structures embeddable into projective geometries 850

51A50

Polar geometry, symplectic spaces, orthogonal spaces 459

51A99

None of the above, but in this section 342

51Bxx

Nonlinear incidence geometry 1336

51B05

General theory of nonlinear incidence geometry 347

51B10

Möbius geometries 332

51B15

Laguerre geometries 207

51B20

Minkowski geometries in nonlinear incidence geometry 417

51B25

Lie geometries in nonlinear incidence geometry 96

51B99

None of the above, but in this section 89

51Cxx

Ring geometry (Hjelmslev, Barbilian, etc.) 377

51C05

Ring geometry (Hjelmslev, Barbilian, etc.) 371

51C99

None of the above, but in this section 4

51Dxx

Geometric closure systems 703

51D05

Abstract (Maeda) geometries 15

51D10

Abstract geometries with exchange axiom 26

51D15

Abstract geometries with parallelism 70

51D20

Combinatorial geometries and geometric closure systems [See also 05B25, 05B35] 406

51D25

Lattices of subspaces and geometric closure systems [See also 05B35] 158

51D30

Continuous geometries, geometric closure systems and related topics [See also 06Cxx] 14

51D99

None of the above, but in this section 32

51Exx

Finite geometry and special incidence structures 8737

51E05

General block designs in finite geometry [See also 05B05] 391

51E10

Steiner systems in finite geometry [See also 05B05] 596

51E12

Generalized quadrangles and generalized polygons in finite geometry 858

51E14

Finite partial geometries (general), nets, partial spreads 313

51E15

Finite affine and projective planes (geometric aspects) 2143

51E20

Combinatorial structures in finite projective spaces [See also 05Bxx] 2377

51E21

Blocking sets, ovals, \(k\)-arcs 892

51E22

Linear codes and caps in Galois spaces [See also 94B05] 377

51E23

Spreads and packing problems in finite geometry 281

51E24

Buildings and the geometry of diagrams 990

51E25

Other finite nonlinear geometries 238

51E26

Other finite linear geometries 152

51E30

Other finite incidence structures (geometric aspects) [See also 05B30] 584

51E99

None of the above, but in this section 181

51Fxx

Metric geometry 2595

51F05

Absolute planes in metric geometry 179

51F10

Absolute spaces in metric geometry 55

51F15

Reflection groups, reflection geometries [See also 20H10, 20H15] {For Coxeter groups, see 20F55} 1124

51F20

Congruence and orthogonality in metric geometry [See also 20H05] 232

51F25

Orthogonal and unitary groups in metric geometry [See also 20H05] 231

51F30

Lipschitz and coarse geometry of metric spaces [See also 53C23] 6

51F99

None of the above, but in this section 874

51Gxx

Ordered geometries (ordered incidence structures, etc.) 252

51G05

Ordered geometries (ordered incidence structures, etc.) 250

51G99

None of the above, but in this section 2

51Hxx

Topological geometry 754

51H05

General theory of topological geometry 39

51H10

Topological linear incidence structures 374

51H15

Topological nonlinear incidence structures 129

51H20

Topological geometries on manifolds [See also 57-XX] 137

51H25

Geometries with differentiable structure [See also 53Cxx, especially 53C70] 76

51H30

Geometries with algebraic manifold structure [See also 14-XX] 51

51H99

None of the above, but in this section 47

51Jxx

Incidence groups 184

51J05

General theory of incidence groups 26

51J10

Projective incidence groups 36

51J15

Kinematic spaces 87

51J20

Representation by near-fields and near-algebras [See also 12K05, 16Y30] 40

51J99

None of the above, but in this section 15

51Kxx

Distance geometry 987

51K05

General theory of distance geometry 582

51K10

Synthetic differential geometry 242

51K99

None of the above, but in this section 207

51Lxx

Geometric order structures [See also 53C75] 123

51L05

Geometry of orders of nondifferentiable curves 12

51L10

Directly differentiable curves in geometric order structures 33

51L15

\(n\)-vertex theorems via direct methods 54

51L20

Geometry of orders of surfaces 18

51L99

None of the above, but in this section 11

51Mxx

Real and complex geometry 12244

51M04

Elementary problems in Euclidean geometries 3092

51M05

Euclidean geometries (general) and generalizations 1562

51M09

Elementary problems in hyperbolic and elliptic geometries 438

51M10

Hyperbolic and elliptic geometries (general) and generalizations 1850

51M15

Geometric constructions in real or complex geometry 1816

51M16

Inequalities and extremum problems in real or complex geometry {For convex problems, see 52A40} 876

51M20

Polyhedra and polytopes; regular figures, division of spaces [See also 51F15] 2810

51M25

Length, area and volume in real or complex geometry [See also 26B15] 1162

51M30

Line geometries and their generalizations [See also 53A25] 366

51M35

Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) [See also 14M15] 332

51M99

None of the above, but in this section 699

51Nxx

Analytic and descriptive geometry 6867

51N05

Descriptive geometry [See also 65D17, 68U07] 1209

51N10

Affine analytic geometry 968

51N15

Projective analytic geometry 1275

51N20

Euclidean analytic geometry 2056

51N25

Analytic geometry with other transformation groups 513

51N30

Geometry of classical groups [See also 14L35, 20Gxx] 211

51N35

Questions of classical algebraic geometry [See also 14Nxx] 879

51N99

None of the above, but in this section 473

51Pxx

Classical or axiomatic geometry and physics (should also be assigned at least one other classification number from Sections 70-XX–86-XX) 338

51P05

Classical or axiomatic geometry and physics (should also be assigned at least one other classification number from Sections 70-XX–86-XX) 330

51P99

None of the above, but in this section 5

52-XX

Convex and discrete geometry 33273

52-00

General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to convex and discrete geometry 12

52-01

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to convex and discrete geometry 222

52-02

Research exposition (monographs, survey articles) pertaining to convex and discrete geometry 429

52-03

History of convex and discrete geometry [Consider also classification numbers pertaining to Section 01-XX] 115

52-04

Software, source code, etc. for problems pertaining to convex and discrete geometry 209

52-06

Proceedings, conferences, collections, etc. pertaining to convex and discrete geometry 281

52-08

Computational methods for problems pertaining to convex and discrete geometry 2

52-11

Research data for problems pertaining to convex and discrete geometry 0

52Axx

General convexity 15754

52A01

Axiomatic and generalized convexity 909

52A05

Convex sets without dimension restrictions (aspects of convex geometry) 806

52A07

Convex sets in topological vector spaces (aspects of convex geometry) [See also 46A55] 804

52A10

Convex sets in \(2\) dimensions (including convex curves) [See also 53A04] 2319

52A15

Convex sets in \(3\) dimensions (including convex surfaces) [See also 53A05, 53C45] 653

52A20

Convex sets in \(n\) dimensions (including convex hypersurfaces) [See also 53A07, 53C45] 4056

52A21

Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) [See also 46Bxx] 681

52A22

Random convex sets and integral geometry (aspects of convex geometry) [See also 53C65, 60D05] 1302

52A23

Asymptotic theory of convex bodies [See also 46B06] 124

52A27

Approximation by convex sets 304

52A30

Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.) 877

52A35

Helly-type theorems and geometric transversal theory 734

52A37

Other problems of combinatorial convexity 689

52A38

Length, area, volume and convex sets (aspects of convex geometry) [See also 26B15, 28A75, 49Q20] 1015

52A39

Mixed volumes and related topics in convex geometry 478

52A40

Inequalities and extremum problems involving convexity in convex geometry 3679

52A41

Convex functions and convex programs in convex geometry [See also 26B25, 90C25] 816

52A55

Spherical and hyperbolic convexity 289

52A99

None of the above, but in this section 326

52Bxx

Polytopes and polyhedra 10146

52B05

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) [See also 05Cxx] 1371

52B10

Three-dimensional polytopes 922

52B11

\(n\)-dimensional polytopes 1301

52B12

Special polytopes (linear programming, centrally symmetric, etc.) 1019

52B15

Symmetry properties of polytopes 395

52B20

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) [See also 06A11, 13F20, 13F55, 13Hxx, 52C05, 52C07] 1163

52B22

Shellability for polytopes and polyhedra 106

52B35

Gale and other diagrams 79

52B40

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) [See also 05B35, 52Cxx] 626

52B45

Dissections and valuations (Hilbert’s third problem, etc.) 430

52B55

Computational aspects related to convexity {For computational methods, see 52-08; for computational geometry and algorithms, see 68Q25, 68U05; for numerical algorithms, see 65Yxx} [See also 68Uxx] 1277

52B60

Isoperimetric problems for polytopes 135

52B70

Polyhedral manifolds 684

52B99

None of the above, but in this section 331

52Cxx

Discrete geometry 10096

52C05

Lattices and convex bodies in \(2\) dimensions (aspects of discrete geometry) [See also 11H06, 11H31, 11P21] 323

52C07

Lattices and convex bodies in \(n\) dimensions (aspects of discrete geometry) [See also 11H06, 11H31, 11P21] 998

52C10

Erdős problems and related topics of discrete geometry [See also 11Hxx] 842

52C15

Packing and covering in \(2\) dimensions (aspects of discrete geometry) [See also 05B40, 11H31] 915

52C17

Packing and covering in \(n\) dimensions (aspects of discrete geometry) [See also 05B40, 11H31] 2358

52C20

Tilings in \(2\) dimensions (aspects of discrete geometry) [See also 05B45, 51M20] 1173

52C22

Tilings in \(n\) dimensions (aspects of discrete geometry) [See also 05B45, 51M20] 959

52C23

Quasicrystals and aperiodic tilings in discrete geometry 544

52C25

Rigidity and flexibility of structures (aspects of discrete geometry) [See also 70B15] 467

52C26

Circle packings and discrete conformal geometry 260

52C30

Planar arrangements of lines and pseudolines (aspects of discrete geometry) 240

52C35

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) [See also 14N20, 32S22] 1276

52C40

Oriented matroids in discrete geometry 186

52C45

Combinatorial complexity of geometric structures [See also 68U05] 328

52C99

None of the above, but in this section 380

53-XX

Differential geometry {For differential topology, see 57Rxx; for foundational questions of differentiable manifolds, see 58Axx} 119907

53-00

General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to differential geometry 36

53-01

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry 1010

53-02

Research exposition (monographs, survey articles) pertaining to differential geometry 1935

53-03

History of differential geometry [Consider also classification numbers pertaining to Section 01-XX] 521

53-04

Software, source code, etc. for problems pertaining to differential geometry 174

53-06

Proceedings, conferences, collections, etc. pertaining to differential geometry 1453

53-08

Computational methods for problems pertaining to differential geometry 0

53-11

Research data for problems pertaining to differential geometry 0

53Axx

Classical differential geometry 25081

53A04

Curves in Euclidean and related spaces 3400

53A05

Surfaces in Euclidean and related spaces 5152

53A07

Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces 2691

53A10

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature [See also 49Q05, 49Q10, 53C42] 4831

53A15

Affine differential geometry 1655

53A17

Differential geometric aspects in kinematics 950

53A20

Projective differential geometry 1609

53A25

Differential line geometry 1147

53A31

Differential geometry of submanifolds of Möbius space 3

53A35

Non-Euclidean differential geometry 1827

53A40

Other special differential geometries 734

53A45

Differential geometric aspects in vector and tensor analysis 1298

53A55

Differential invariants (local theory), geometric objects 1334

53A60

Differential geometry of webs [See also 14C21, 20N05] 775

53A70

Discrete differential geometry 3

53A99

None of the above, but in this section 302

53Bxx

Local differential geometry 20496

53B05

Linear and affine connections 2246

53B10

Projective connections 511

53B12

Differential geometric aspects of statistical manifolds and information geometry 1

53B15

Other connections 1084

53B20

Local Riemannian geometry 3300

53B21

Methods of local Riemannian geometry 625

53B25

Local submanifolds [See also 53C40] 4011

53B30

Local differential geometry of Lorentz metrics, indefinite metrics 3770

53B35

Local differential geometry of Hermitian and Kählerian structures [See also 32Qxx] 1716

53B40

Local differential geometry of Finsler spaces and generalizations (areal metrics) 3555

53B50

Applications of local differential geometry to the sciences 3397

53B99

None of the above, but in this section 585

53Cxx

Global differential geometry [See also 51H25, 58-XX] {For related bundle theory, see 55Rxx, 57Rxx} 70705

53C05

Connections, general theory 3166

53C07

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) [See also 32Q20] 1821

53C08

Differential geometric aspects of gerbes and differential characters 148

53C10

\(G\)-structures 1271

53C12

Foliations (differential geometric aspects) [See also 57R30, 57R32] 2053

53C15

General geometric structures on manifolds (almost complex, almost product structures, etc.) 8589

53C17

Sub-Riemannian geometry 1072

53C18

Conformal structures on manifolds 16

53C20

Global Riemannian geometry, including pinching [See also 31C12, 58B20] 8902

53C21

Methods of global Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60] 4465

53C22

Geodesics in global differential geometry [See also 58E10] 3437

53C23

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces 1662

53C24

Rigidity results 1055

53C25

Special Riemannian manifolds (Einstein, Sasakian, etc.) 6855

53C26

Hyper-Kähler and quaternionic Kähler geometry, “special” geometry 1146

53C27

Spin and Spin\({}^c\) geometry 1562

53C28

Twistor methods in differential geometry [See also 32L25] 511

53C29

Issues of holonomy in differential geometry 797

53C30

Differential geometry of homogeneous manifolds [See also 14M15, 14M17, 32M10, 57T15] 4085

53C35

Differential geometry of symmetric spaces [See also 32M15, 57T15] 3410

53C38

Calibrations and calibrated geometries 331

53C40

Global submanifolds [See also 53B25] 7628

53C42

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) [See also 49Q05, 49Q10, 53A10, 57R40, 57R42] 7028

53C43

Differential geometric aspects of harmonic maps [See also 58E20] 1591

53C45

Global surface theory (convex surfaces à la A. D. Aleksandrov) 1180

53C50

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics 4956

53C55

Global differential geometry of Hermitian and Kählerian manifolds [See also 32Qxx] 5908

53C56

Other complex differential geometry [See also 32Qxx] 705

53C60

Global differential geometry of Finsler spaces and generalizations (areal metrics) [See also 58B20] 2661

53C65

Integral geometry [See also 52A22, 60D05]; differential forms, currents, etc. [See mainly 58Axx] 2293

53C70

Direct methods (\(G\)-spaces of Busemann, etc.) 363

53C75

Geometric orders, order geometry [See also 51Lxx] 117

53C80

Applications of global differential geometry to the sciences 4930

53C99

None of the above, but in this section 630

53Dxx

Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx] 14703

53D05

Symplectic manifolds, general 1732

53D10

Contact manifolds, general 1468

53D12

Lagrangian submanifolds; Maslov index 1320

53D15

Almost contact and almost symplectic manifolds 757

53D17

Poisson manifolds; Poisson groupoids and algebroids 1846

53D18

Generalized geometries (à la Hitchin) 171

53D20

Momentum maps; symplectic reduction 1211

53D22

Canonical transformations in symplectic and contact geometry 105

53D25

Geodesic flows in symplectic geometry and contact geometry 1257

53D30

Symplectic structures of moduli spaces 300

53D35

Global theory of symplectic and contact manifolds [See also 57Rxx] 1111

53D37

Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category [See also 14J33] 291

53D40

Symplectic aspects of Floer homology and cohomology 760

53D42

Symplectic field theory; contact homology 163

53D45

Gromov-Witten invariants, quantum cohomology, Frobenius manifolds [See also 14N35] 967

53D50

Geometric quantization 2322

53D55

Deformation quantization, star products 1395

53D99

None of the above, but in this section 149

53Exx

Geometric evolution equations 174

53E10

Flows related to mean curvature 60

53E20

Ricci flows 53

53E30

Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) 21

53E40

Higher-order geometric flows 2

53E50

Flows related to symplectic and contact structures 6

53E99

None of the above, but in this section 34

53Zxx

Applications of differential geometry to sciences and engineering 7716

53Z05

Applications of differential geometry to physics 7702

53Z10

Applications of differential geometry to biology 0

53Z15

Applications of differential geometry to chemistry 0

53Z30

Applications of differential geometry to engineering 1

53Z50

Applications of differential geometry to data and computer science 1

53Z99

None of the above, but in this section 11

57-XX

Manifolds and cell complexes {For complex manifolds, see 32Qxx} 54571

57Rxx

Differential topology {For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx} 20352

57R18

Topology and geometry of orbifolds 383

58-XX

Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15} 63983

58Bxx

Infinite-dimensional manifolds 4312

58B32

Geometry of quantum groups 612

58B34

Noncommutative geometry (à la Connes) 1219

58Jxx

Partial differential equations on manifolds; differential operators [See also 32Wxx, 35-XX, 53Cxx] 23665

58J50

Spectral problems; spectral geometry; scattering theory on manifolds [See also 35Pxx] 4393

60-XX

Probability theory and stochastic processes {For additional applications, see 05Cxx, 11Kxx, 34-XX, 35-XX, 62-XX, 90-XX, 76-XX, 81-XX, 82-XX, 91-XX, 92-XX, 93-XX, 94-XX} 207150

60Dxx

Geometric probability and stochastic geometry [See also 52A22, 53C65] 4805

60D05

Geometric probability and stochastic geometry [See also 52A22, 53C65] 4751

60D99

None of the above, but in this section 43

62-XX

Statistics 235951

62Bxx

Sufficiency and information 5840

62B11

Information geometry (statistical aspects) {For differential geometric aspects, see 53B12} 4

65-XX

Numerical analysis 298987

65Dxx

Numerical approximation and computational geometry (primarily algorithms) {For theoretical aspects, see 41-XX, 68Uxx} 34477

65D05

Numerical interpolation 5525

65D07

Numerical computation using splines 5465

65D10

Numerical smoothing, curve fitting 3113

65D12

Numerical radial basis function approximation 8

65D15

Algorithms for approximation of functions 2669

65D17

Computer-aided design (modeling of curves and surfaces) [See also 68U07] 5043

65D18

Numerical aspects of computer graphics, image analysis, and computational geometry [See also 51N05, 68U05] 4776

65D19

Computational issues in computer and robotic vision 64

65D20

Computation of special functions and constants, construction of tables [See also 33F05] 2582

65D25

Numerical differentiation 1533

65D30

Numerical integration 3618

65D32

Numerical quadrature and cubature formulas 5432

65D40

High-dimensional functions; sparse grids 1

65D99

None of the above, but in this section 545

65Hxx

Nonlinear algebraic or transcendental equations 12530

65H14

Numerical algebraic geometry 7

68-XX

Computer science {For papers containing software, source code, etc. in a specific mathematical area, see the classification number -04 in that area} 357454

68Uxx

Computing methodologies and applications 57347

68U05

Computer graphics; computational geometry (digital and algorithmic aspects) {For methods of numerical mathematics, see 65D18} 14200

70-XX

Mechanics of particles and systems {For relativistic mechanics, see 83A05, 83C10; for statistical mechanics, see 82-XX} 64316

70Gxx

General models, approaches, and methods [See also 37-XX] 4364

70G55

Algebraic geometry methods for problems in mechanics 69

81-XX

Quantum theory 153881