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Mathematics Subject Classification – Applied Mathematics

COMPUTER SCIENCE

AMS: 68       All of this section
AMS: 68-XX    Not classified at a more specific level

• AMS: 68-00    General reference works
• AMS: 68-01    Instructional exposition
• AMS: 68-02    Research exposition
• AMS: 68-03    Historical
• AMS: 68-04    Explicit machine computation and programs
• AMS: 68-06    Proceedings, conferences, collections, etc.

• AMS: 68Mxx    Computer system organization
  AMS: 68M*     (including sub-levels)
  • AMS: 68M01    General
  • AMS: 68M07    Mathematical problems of computer architecture
  • AMS: 68M10    Network design and communication
  • AMS: 68M12    Network protocols
  • AMS: 68M14    Distributed systems
  • AMS: 68M15    Reliability, testing and fault tolerance
  • AMS: 68M20    Performance evaluation; queueing; scheduling
  • AMS: 68M99    None of the above, but in this section
• AMS: 68Nxx    Software
  AMS: 68N*     (including sub-levels)
  • AMS: 68N01    General
  • AMS: 68N15    Programming languages
  • AMS: 68N17    Logic programming
  • AMS: 68N18    Functional programming and lambda calculus
  • AMS: 68N19    Other programming techniques (object-oriented, sequential, concurrent, automatic, etc.)
  • AMS: 68N20    Compilers and interpreters
  • AMS: 68N25    Operating systems
  • AMS: 68N30    Mathematical aspects of software engineering (specification, verification, metrics, requirements, etc.)
  • AMS: 68N99    None of the above, but in this section
• AMS: 68Pxx    Theory of data
  AMS: 68P*     (including sub-levels)
  • AMS: 68P01    General
  • AMS: 68P05    Data structures
  • AMS: 68P10    Searching and sorting
  • AMS: 68P15    Database theory
  • AMS: 68P20    Information storage and retrieval
  • AMS: 68P25    Data encryption
  • AMS: 68P30    Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.)
  • AMS: 68P99    None of the above, but in this section
• AMS: 68Qxx    Theory of computing
  AMS: 68Q*     (including sub-levels)
  • AMS: 68Q01    General
  • AMS: 68Q05    Models of computation (Turing machines, etc.)
  • AMS: 68Q10    Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.)
  • AMS: 68Q15    Complexity classes (hierarchies, relations among complexity classes, etc.)
  • AMS: 68Q17    Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.)
  • AMS: 68Q19    Descriptive complexity and finite models
  • AMS: 68Q25    Analysis of algorithms and problem complexity
  • AMS: 68Q30    Algorithmic information theory (Kolmogorov complexity, etc.)
  • AMS: 68Q32    Computational learning theory
  • AMS: 68Q42    Grammars and rewriting systems
  • AMS: 68Q45    Formal languages and automata
  • AMS: 68Q55    Semantics
  • AMS: 68Q60    Specification and verification (program logics, model checking, etc.)
  • AMS: 68Q65    Abstract data types; algebraic specification
  • AMS: 68Q70    Algebraic theory of languages and automata
  • AMS: 68Q80    Cellular automata
  • AMS: 68Q85    Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.)
  • AMS: 68Q99    None of the above, but in this section
• AMS: 68Rxx    Discrete mathematics in relation to computer science
  AMS: 68R*     (including sub-levels)
  • AMS: 68R01    General
  • AMS: 68R05    Combinatorics
  • AMS: 68R10    Graph theory
  • AMS: 68R15    Combinatorics on words
  • AMS: 68R99    None of the above, but in this section
• AMS: 68Txx    Artificial intelligence
  AMS: 68T*     (including sub-levels)
  • AMS: 68T01    General
  • AMS: 68T05    Learning and adaptive systems
  • AMS: 68T10    Pattern recognition, speech recognition
  • AMS: 68T15    Theorem proving (deduction, resolution, etc.)
  • AMS: 68T20    Problem solving (heuristics, search strategies, etc.)
  • AMS: 68T27    Logic in artificial intelligence
  • AMS: 68T30    Knowledge representation
  • AMS: 68T35    Languages and software systems (knowledge-based systems, expert systems, etc.)
  • AMS: 68T37    Reasoning under uncertainty
  • AMS: 68T40    Robotics
  • AMS: 68T45    Machine vision and scene understanding
  • AMS: 68T50    Natural language processing
  • AMS: 68T99    None of the above, but in this section
• AMS: 68Uxx    Computing methodologies and applications
  AMS: 68U*     (including sub-levels)
  • AMS: 68U01    General
  • AMS: 68U05    Computer graphics; computational geometry
  • AMS: 68U07    Computer-aided design
  • AMS: 68U10    Image processing
  • AMS: 68U15    Text processing; mathematical typography
  • AMS: 68U20    Simulation
  • AMS: 68U35    Information systems (hypertext navigation, interfaces, decision support, etc.)
  • AMS: 68U99    None of the above, but in this section
• AMS: 68Wxx    Algorithms
  AMS: 68W*     (including sub-levels)
  • AMS: 68W01    General
  • AMS: 68W05    Nonnumerical algorithms
  • AMS: 68W10    Parallel algorithms
  • AMS: 68W15    Distributed algorithms
  • AMS: 68W20    Randomized algorithms
  • AMS: 68W25    Approximation algorithms
  • AMS: 68W30    Symbolic computation and algebraic computation
  • AMS: 68W99    None of the above, but in this section

MECHANICS OF PARTICLES AND SYSTEMS

AMS: 70       All of this section
AMS: 70-XX    Not classified at a more specific level

• AMS: 70-00    General reference works
• AMS: 70-01    Instructional exposition
• AMS: 70-02    Research exposition
• AMS: 70-03    Historical
• AMS: 70-06    Proceedings, conferences, collections, etc.
• AMS: 70-08    Computational methods

• AMS: 70Axx    Axiomatics, foundations
  AMS: 70A*     (including sub-levels)
• AMS: 70Bxx    Kinematics
  AMS: 70B*     (including sub-levels)
• AMS: 70Cxx    Statics
  AMS: 70C*     (including sub-levels)
• AMS: 70C20    Statics
  AMS: 70C*     (including sub-levels)
• AMS: 70Exx    Dynamics of a rigid body and of multibody systems
  AMS: 70E*     (including sub-levels)
• AMS: 70Fxx    Dynamics of a system of particles, including celestial mechanics
  AMS: 70F*     (including sub-levels)
• AMS: 70Gxx    General models, approaches, and methods
  AMS: 70G*     (including sub-levels)
• AMS: 70Hxx    Hamiltonian and Lagrangian mechanics
  AMS: 70H*     (including sub-levels)
• AMS: 70Jxx    Linear vibration theory
  AMS: 70J*     (including sub-levels)
• AMS: 70Kxx    Nonlinear dynamics
  AMS: 70K*     (including sub-levels)
• AMS: 70Lxx    Random vibrations
  AMS: 70L*     (including sub-levels)
• AMS: 70Mxx    Orbital mechanics
  AMS: 70M*     (including sub-levels)
• AMS: 70M20    Orbital mechanics
  AMS: 70M*     (including sub-levels)
• AMS: 70Pxx    Variable mass, rockets
  AMS: 70P*     (including sub-levels)
• AMS: 70Qxx    Control of mechanical systems
  AMS: 70Q*     (including sub-levels)
• AMS: 70Sxx    Classical field theories
  AMS: 70S*     (including sub-levels)

MECHANICS OF DEFORMABLE SOLIDS

AMS: 74       All of this section
AMS: 74-XX    Not classified at a more specific level

• AMS: 74-00    General reference works
• AMS: 74-01    Instructional exposition
• AMS: 74-02    Research exposition
• AMS: 74-04    Explicit machine computation and programs
• AMS: 74-06    Proceedings, conferences, collections, etc.

• AMS: 74Axx    Generalities, axiomatics, foundations of continuum mechanics of solids
  AMS: 74A*     (including sub-levels)
• AMS: 74Bxx    Elastic materials
  AMS: 74B*     (including sub-levels)
• AMS: 74Cxx    Plastic materials, materials of stress-rate and internal-variable type
  AMS: 74C*     (including sub-levels)
• AMS: 74Dxx    Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
  AMS: 74D*     (including sub-levels)
• AMS: 74Exx    Material properties given special treatment
  AMS: 74E*     (including sub-levels)
• AMS: 74Fxx    Coupling of solid mechanics with other effects
  AMS: 74F*     (including sub-levels)
• AMS: 74Gxx    Equilibrium (steady-state) problems
  AMS: 74G*     (including sub-levels)
• AMS: 74Hxx    Dynamical problems
  AMS: 74H*     (including sub-levels)
• AMS: 74Jxx    Waves
  AMS: 74J*     (including sub-levels)
• AMS: 74Kxx    Thin bodies, structures
  AMS: 74K*     (including sub-levels)
• AMS: 74Lxx    Special subfields of solid mechanics
  AMS: 74L*     (including sub-levels)
• AMS: 74Mxx    Special kinds of problems
  AMS: 74M*     (including sub-levels)
• AMS: 74Nxx    Phase transformations in solids
  AMS: 74N*     (including sub-levels)
• AMS: 74Pxx    Optimization
  AMS: 74P*     (including sub-levels)
• AMS: 74Qxx    Homogenization, determination of effective properties
  AMS: 74Q*     (including sub-levels)
• AMS: 74Rxx    Fracture and damage
  AMS: 74R*     (including sub-levels)
• AMS: 74Sxx    Numerical methods
  AMS: 74S*     (including sub-levels)

FLUID MECHANICS

AMS: 76       All of this section
AMS: 76-XX    Not classified at a more specific level

• AMS: 76-00    General reference works
• AMS: 76-01    Instructional exposition
• AMS: 76-02    Research exposition
• AMS: 76-03    Historical
• AMS: 76-04    Explicit machine computation and programs
• AMS: 76-05    Experimental work
• AMS: 76-06    Proceedings, conferences, collections, etc.

• AMS: 76Axx    Foundations, constitutive equations, rheology
  AMS: 76A*     (including sub-levels)
• AMS: 76Bxx    Incompressible inviscid fluids
  AMS: 76B*     (including sub-levels)
• AMS: 76Dxx    Incompressible viscous fluids
  AMS: 76D*     (including sub-levels)
• AMS: 76Exx    Hydrodynamic stability
  AMS: 76E*     (including sub-levels)
• AMS: 76Fxx    Turbulence
  AMS: 76F*     (including sub-levels)
• AMS: 76Gxx    General aerodynamics and subsonic flows
  AMS: 76G*     (including sub-levels)
• AMS: 76G25    General aerodynamics and subsonic flows
  AMS: 76G*     (including sub-levels)
• AMS: 76Hxx    Transonic flows
  AMS: 76H*     (including sub-levels)
• AMS: 76Jxx    Supersonic flows
  AMS: 76J*     (including sub-levels)
• AMS: 76J20    Supersonic flows
  AMS: 76J*     (including sub-levels)
• AMS: 76Kxx    Hypersonic flows
  AMS: 76K*     (including sub-levels)
• AMS: 76Lxx    Shock waves and blast waves
  AMS: 76L*     (including sub-levels)
• AMS: 76Mxx    Basic methods in fluid mechanics
  AMS: 76M*     (including sub-levels)
• AMS: 76Nxx    Compressible fluids and gas dynamics, general
  AMS: 76N*     (including sub-levels)
• AMS: 76Pxx    Rarefied gas flows, Boltzmann equation
  AMS: 76P*     (including sub-levels)
• AMS: 76Qxx    Hydro- and aero-acoustics
  AMS: 76Q*     (including sub-levels)
• AMS: 76Rxx    Diffusion and convection
  AMS: 76R*     (including sub-levels)
• AMS: 76Sxx    Flows in porous media; filtration; seepage
  AMS: 76S*     (including sub-levels)
• AMS: 76Txx    Two-phase and multiphase flows
  AMS: 76T*     (including sub-levels)
• AMS: 76Uxx    Rotating fluids
  AMS: 76U*     (including sub-levels)
• AMS: 76Vxx    Reaction effects in flows
  AMS: 76V*     (including sub-levels)
• AMS: 76Wxx    Magnetohydrodynamics and electrohydrodynamics
  AMS: 76W*     (including sub-levels)
• AMS: 76Xxx    Ionized gas flow in electromagnetic fields; plasmic flow
  AMS: 76X*     (including sub-levels)
• AMS: 76Yxx    Quantum hydrodynamics and relativistic hydrodynamics
  AMS: 76Y*     (including sub-levels)
• AMS: 76Zxx    Biological fluid mechanics
  AMS: 76Z*     (including sub-levels)

OPTICS, ELECTROMAGNETIC THEORY

AMS: 78       All of this section
AMS: 78-XX    Not classified at a more specific level

• AMS: 78-00    General reference works
• AMS: 78-01    Instructional exposition
• AMS: 78-02    Research exposition
• AMS: 78-03    Historical
• AMS: 78-06    Proceedings, conferences, collections, etc.

• AMS: 78Axx    General
  AMS: 78A*     (including sub-levels)
• AMS: 78Mxx    Basic methods
  AMS: 78M*     (including sub-levels)

CLASSICAL THERMODYNAMICS, HEAT TRANSFER

AMS: 80       All of this section
AMS: 80-XX    Not classified at a more specific level

• AMS: 80-01    Instructional exposition
• AMS: 80-02    Research exposition
• AMS: 80-03    Historical
• AMS: 80-06    Proceedings, conferences, collections, etc.

• AMS: 80Axx    Thermodynamics and heat transfer
  AMS: 80A*     (including sub-levels)
• AMS: 80Mxx    Basic methods
  AMS: 80M*     (including sub-levels)

QUANTUM THEORY

AMS: 81       All of this section
AMS: 81-XX    Not classified at a more specific level

• AMS: 81-00    General reference works
• AMS: 81-01    Instructional exposition
• AMS: 81-02    Research exposition
• AMS: 81-03    Historical
• AMS: 81-04    Explicit machine computation and programs
• AMS: 81-06    Proceedings, conferences, collections, etc.
• AMS: 81-08    Computational methods

• AMS: 81Pxx    Axiomatics, foundations, philosophy
  AMS: 81P*     (including sub-levels)
• AMS: 81Qxx    General mathematical topics and methods in quantum theory
  AMS: 81Q*     (including sub-levels)
• AMS: 81Rxx    Groups and algebras in quantum theory
  AMS: 81R*     (including sub-levels)
• AMS: 81Sxx    General quantum mechanics and problems of quantization
  AMS: 81S*     (including sub-levels)
• AMS: 81Txx    Quantum field theory; related classical field theories
  AMS: 81T*     (including sub-levels)
• AMS: 81Uxx    Scattering theory
  AMS: 81U*     (including sub-levels)
• AMS: 81Vxx    Applications to specific physical systems
  AMS: 81V*     (including sub-levels)

STATISTICAL MECHANICS, STRUCTURE OF MATTER

AMS: 82       All of this section
AMS: 82-XX    Not classified at a more specific level

• AMS: 82-01    Instructional exposition
• AMS: 82-02    Research exposition
• AMS: 82-03    Historical
• AMS: 82-04    Explicit machine computation and programs
• AMS: 82-06    Proceedings, conferences, collections, etc.

• AMS: 82Bxx    Equilibrium statistical mechanics
  AMS: 82B*     (including sub-levels)
• AMS: 82Cxx    Time-dependent statistical mechanics (dynamic and nonequilibrium)
  AMS: 82C*     (including sub-levels)
• AMS: 82Dxx    Applications to specific types of physical systems
  AMS: 82D*     (including sub-levels)

RELATIVITY AND GRAVITATIONAL THEORY

AMS: 83       All of this section
AMS: 83-XX    Not classified at a more specific level

• AMS: 83-00    General reference works
• AMS: 83-01    Instructional exposition
• AMS: 83-02    Research exposition
• AMS: 83-03    Historical
• AMS: 83-04    Explicit machine computation and programs
• AMS: 83-06    Proceedings, conferences, collections, etc.
• AMS: 83-08    Computational methods

• AMS: 83Axx    Special relativity
  AMS: 83A*     (including sub-levels)
• AMS: 83Bxx    Observational and experimental questions
  AMS: 83B*     (including sub-levels)
• AMS: 83Cxx    General relativity
  AMS: 83C*     (including sub-levels)
• AMS: 83Dxx    Relativistic gravitational theories other than Einstein's, including asymmetric field theories
  AMS: 83D*     (including sub-levels)
• AMS: 83Exx    Unified, higher-dimensional and super field theories
  AMS: 83E*     (including sub-levels)
• AMS: 83Fxx    Cosmology
  AMS: 83F*     (including sub-levels)

ASTRONOMY AND ASTROPHYSICS

AMS: 85       All of this section
AMS: 85-XX    Not classified at a more specific level

• AMS: 85-00    General reference works
• AMS: 85-01    Instructional exposition
• AMS: 85-02    Research exposition
• AMS: 85-03    Historical
• AMS: 85-04    Explicit machine computation and programs
• AMS: 85-06    Proceedings, conferences, collections, etc.
• AMS: 85-08    Computational methods

• AMS: 85Axx    Astronomy and astrophysics
  AMS: 85A*     (including sub-levels)

GEOPHYSICS

AMS: 86       All of this section
AMS: 86-XX    Not classified at a more specific level

• AMS: 86-01    Instructional exposition
• AMS: 86-02    Research exposition
• AMS: 86-04    Explicit machine computation and programs
• AMS: 86-08    Computational methods

• AMS: 86Axx    Geophysics
  AMS: 86A*     (including sub-levels)

OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING

AMS: 90       All of this section
AMS: 90-XX    Not classified at a more specific level

• AMS: 90-00    General reference works
• AMS: 90-01    Instructional exposition
• AMS: 90-02    Research exposition
• AMS: 90-04    Explicit machine computation and programs
• AMS: 90-06    Proceedings, conferences, collections, etc.
• AMS: 90-08    Computational methods

• AMS: 90Bxx    Operations research and management science
  AMS: 90B*     (including sub-levels)
  • AMS: 90B05    Inventory, storage, reservoirs
  • AMS: 90B06    Transportation, logistics
  • AMS: 90B10    Network models, deterministic
  • AMS: 90B15    Network models, stochastic
  • AMS: 90B18    Communication networks
  • AMS: 90B20    Traffic problems
  • AMS: 90B22    Queues and service
  • AMS: 90B25    Reliability, availability, maintenance, inspection
  • AMS: 90B30    Production models
  • AMS: 90B35    Scheduling theory, deterministic
  • AMS: 90B36    Scheduling theory, stochastic
  • AMS: 90B40    Search theory
  • AMS: 90B50    Management decision making, including multiple objectives
  • AMS: 90B60    Marketing, advertising
  • AMS: 90B70    Theory of organizations, manpower planning
  • AMS: 90B80    Discrete location and assignment
  • AMS: 90B85    Continuous location
  • AMS: 90B90    Case-oriented studies
  • AMS: 90B99    None of the above, but in this section
• AMS: 90Cxx    Mathematical programming
  AMS: 90C*     (including sub-levels)
  • AMS: 90C05    Linear programming
  • AMS: 90C06    Large-scale problems
  • AMS: 90C08    Special problems of linear programming (transportation, multi-index, etc.)
  • AMS: 90C09    Boolean programming
  • AMS: 90C10    Integer programming
  • AMS: 90C11    Mixed integer programming
  • AMS: 90C15    Stochastic programming
  • AMS: 90C20    Quadratic programming
  • AMS: 90C22    Semidefinite programming
  • AMS: 90C25    Convex programming
  • AMS: 90C26    Nonconvex programming
  • AMS: 90C27    Combinatorial optimization
  • AMS: 90C29    Multi-objective and goal programming
  • AMS: 90C30    Nonlinear programming
  • AMS: 90C31    Sensitivity, stability, parametric optimization
  • AMS: 90C33    Complementarity problems
  • AMS: 90C34    Semi-infinite programming
  • AMS: 90C35    Programming involving graphs or networks
  • AMS: 90C39    Dynamic programming
  • AMS: 90C40    Markov and semi-Markov decision processes
  • AMS: 90C46    Optimality conditions, duality
  • AMS: 90C48    Programming in abstract spaces
  • AMS: 90C51    Interior-point methods
  • AMS: 90C53    Methods of quasi-Newton type
  • AMS: 90C55    Methods of successive quadratic programming type
  • AMS: 90C56    Derivative-free methods
  • AMS: 90C57    Polyhedral combinatorics, branch-and-bound, branch-and-cut
  • AMS: 90C59    Approximation methods and heuristics
  • AMS: 90C60    Abstract computational complexity for mathematical programming problems
  • AMS: 90C90    Applications of mathematical programming
  • AMS: 90C99    None of the above, but in this section

GAME THEORY, ECONOMICS, SOCIAL AND BEHAVIORAL SCIENCES

AMS: 91       All of this section
AMS: 91-XX    Not classified at a more specific level

• AMS: 91-00    General reference works
• AMS: 91-01    Instructional exposition
• AMS: 91-02    Research exposition
• AMS: 91-06    Proceedings, conferences, collections, etc.
• AMS: 91-08    Computational methods

• AMS: 91Axx    Game theory
  AMS: 91A*     (including sub-levels)
  • AMS: 91A05    2-person games
  • AMS: 91A12    Cooperative games
  • AMS: 91A15    Stochastic games
  • AMS: 91A43    Games involving graphs
  • AMS: 91A44    Games involving topology or set theory
  • AMS: 91A80    Applications of game theory
• AMS: 91Bxx    Mathematical economics
  AMS: 91B*     (including sub-levels)
  • AMS: 91B02    Fundamental topics (basic mathematics, methodology; applicable to economics in general)
  • AMS: 91B12    Voting theory
  • AMS: 91B14    Social choice
  • AMS: 91B16    Utility theory
  • AMS: 91B24    Price theory and market structure
  • AMS: 91B26    Market models (auctions, bargaining, bidding, selling, etc.)
  • AMS: 91B30    Risk theory, insurance
  • AMS: 91B32    Resource and cost allocation
  • AMS: 91B38    Production theory, theory of the firm
  • AMS: 91B44    Informational economics
  • AMS: 91B50    Equilibrium: General theory
  • AMS: 91B52    Special types of equilibria
  • AMS: 91B60    General economic models, trade models
  • AMS: 91B62    Dynamic economic models. growth models
  • AMS: 91B64    Macro-economic models (monetary models, models of taxation)
  • AMS: 91B70    Stochastic models
  • AMS: 91B72    Spatial models
  • AMS: 91B76    Environmental economics (natural resource models, harvesting, pollution, etc.)
  • AMS: 91B82    Statistical methods; economic indices and measures
  • AMS: 91B84    Economic time series analysis
  • AMS: 91B99    None of the above, but in this section
• AMS: 91Cxx    Social and behavioral sciences: general topics
  AMS: 91C*     (including sub-levels)
  • AMS: 91C99    None of the above, but in this section.
• AMS: 91Dxx    Mathematical sociology (including anthropology)
  AMS: 91D*     (including sub-levels)
  • AMS: 91D20    Mathematical geography and demography
• AMS: 91Exx    Mathematical psychology
  AMS: 91E*     (including sub-levels)
  • AMS: 91E30    Psychophysics and psychophysiology; perception
• AMS: 91Fxx    Other social and behavioral sciences (mathematical treatment)
  AMS: 91F*     (including sub-levels)
  • AMS: 91F20    Linguistics
• AMS: 91Gxx    Mathematical finance
  AMS: 91G*     (including sub-levels)

BIOLOGY AND OTHER NATURAL SCIENCES

AMS: 92       All of this section
AMS: 92-XX    Not classified at a more specific level

• AMS: 92-01    Instructional exposition
• AMS: 92-02    Research exposition
• AMS: 92-03    Historical
• AMS: 92-04    Explicit machine computation and programs
• AMS: 92-06    Proceedings, conferences, collections, etc.
• AMS: 92-08    Computational methods

• AMS: 92Bxx    Mathematical biology in general
  AMS: 92B*     (including sub-levels)
  • AMS: 92B05    General biology and biomathematics
  • AMS: 92B15    General biostatistics
  • AMS: 92B20    Neural networks, artificial life and related topics
  • AMS: 92B99    None of the above, but in this section
• AMS: 92Cxx    Physiological, cellular and medical topics
  AMS: 92C*     (including sub-levels)
  • AMS: 92C05    Biophysics
  • AMS: 92C10    Biomechanics
  • AMS: 92C15    Developmental biology, pattern formation
  • AMS: 92C17    Cell movement (chemotaxis, etc.)
  • AMS: 92C20    Neural biology
  • AMS: 92C30    Physiology (general)
  • AMS: 92C35    Physiological flow
  • AMS: 92C37    Cell biology
  • AMS: 92C40    Biochemistry, molecular biology
  • AMS: 92C42    Systems biology, networks
  • AMS: 92C45    Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.)
  • AMS: 92C50    Medical applications (general)
  • AMS: 92C55    Biomedical imaging and signal processing
  • AMS: 92C60    Medical epidemiology
• AMS: 92Dxx    Genetics and population dynamics
  AMS: 92D*     (including sub-levels)
  • AMS: 92D10    Genetics
  • AMS: 92D15    Problems related to evolution
  • AMS: 92D20    Protein sequences, DNA sequences
  • AMS: 92D25    Population dynamics (general)
  • AMS: 92D30    Epidemiology
  • AMS: 92D40    Ecology
  • AMS: 92D99    None of the above, but in this section
• AMS: 92Exx    Chemistry
  AMS: 92E*     (including sub-levels)
  • AMS: 92E10    Molecular structure (graph-theoretic methods, methods of differential topology, etc.)
  • AMS: 92E20    Classical flows, reactions, etc.
  • AMS: 92E99    None of the above, but in this section
• AMS: 92Fxx    Other natural sciences
  AMS: 92F*     (including sub-levels)
  • AMS: 92F05    Other natural sciences

SYSTEMS THEORY; CONTROL

AMS: 93       All of this section
AMS: 93-XX    Not classified at a more specific level

• AMS: 93-00    General reference works
• AMS: 93-01    Instructional exposition
• AMS: 93-02    Research exposition
• AMS: 93-04    Explicit machine computation and programs
• AMS: 93-06    Proceedings, conferences, collections, etc.

• AMS: 93Axx    General
  AMS: 93A*     (including sub-levels)
  • AMS: 93A05    Axiomatic system theory
  • AMS: 93A10    General systems
  • AMS: 93A13    Hierarchical systems
  • AMS: 93A30    Mathematical modeling (models of systems, model-matching, etc.)
  • AMS: 93A99    None of the above, but in this section
• AMS: 93Bxx    Controllability, observability, and system structure
  AMS: 93B*     (including sub-levels)
  • AMS: 93B03    Attainable sets
  • AMS: 93B05    Controllability
  • AMS: 93B07    Observability
  • AMS: 93B12    Variable structure systems
  • AMS: 93B15    Realizations from input-output data
  • AMS: 93B17    Transformations
  • AMS: 93B25    Algebraic methods
  • AMS: 93B27    Geometric methods (including algebro-geometric)
  • AMS: 93B28    Operator-theoretic methods
  • AMS: 93B30    System identification
  • AMS: 93B35    Sensitivity (robustness)
  • AMS: 93B36    $H^\infty$-control
  • AMS: 93B40    Computational methods
  • AMS: 93B50    Synthesis problems
  • AMS: 93B51    Design techniques (robust design, computer-aided design, etc.)
  • AMS: 93B52    Feedback control
  • AMS: 93B60    Eigenvalue problems
• AMS: 93Cxx    Control systems, guided systems
  AMS: 93C*     (including sub-levels)
  • AMS: 93C05    Linear systems
  • AMS: 93C10    Nonlinear systems
  • AMS: 93C15    Systems governed by ordinary differential equations
  • AMS: 93C20    Systems governed by partial differential equations
  • AMS: 93C23    Systems governed by functional-differential equations
  • AMS: 93C25    Systems in abstract spaces
  • AMS: 93C30    Systems governed by functional relations other than differential equations
  • AMS: 93C35    Multivariable systems
  • AMS: 93C40    Adaptive control
  • AMS: 93C42    Fuzzy control
  • AMS: 93C55    Discrete-time systems
  • AMS: 93C57    Sampled-data systems
  • AMS: 93C70    Time-scale analysis and singular perturbations
  • AMS: 93C85    Automated systems (robots, etc.)
  • AMS: 93C95    Applications
• AMS: 93Dxx    Stability
  AMS: 93D*     (including sub-levels)
  • AMS: 93D05    Lyapunov and other classical stabilities (Lagrange, Poisson, $L^p, l^p$, etc.)
  • AMS: 93D15    Stabilization of systems by feedback
  • AMS: 93D20    Asymptotic stability
  • AMS: 93D25    Input-output approaches
  • AMS: 93D30    Scalar and vector Lyapunov functions
• AMS: 93Exx    Stochastic systems and control
  AMS: 93E*     (including sub-levels)
  • AMS: 93E03    Stochastic systems, general
  • AMS: 93E10    Estimation and detection
  • AMS: 93E11    Filtering
  • AMS: 93E12    System identification
  • AMS: 93E15    Stochastic stability
  • AMS: 93E20    Optimal stochastic control
  • AMS: 93E25    Other computational methods

INFORMATION AND COMMUNICATION, CIRCUITS

AMS: 94       All of this section
AMS: 94-XX    Not classified at a more specific level

• AMS: 94-00    General reference works
• AMS: 94-01    Instructional exposition
• AMS: 94-02    Research exposition
• AMS: 94-03    Historical
• AMS: 94-04    Explicit machine computation and programs
• AMS: 94-06    Proceedings, conferences, collections, etc.

• AMS: 94Axx    Communication, information
  AMS: 94A*     (including sub-levels)
  • AMS: 94A05    Communication theory
  • AMS: 94A08    Image processing (compression, reconstruction, etc.)
  • AMS: 94A11    Application of orthogonal functions in communication
  • AMS: 94A12    Signal theory (characterization, reconstruction, etc.)
  • AMS: 94A13    Detection theory
  • AMS: 94A14    Modulation and demodulation
  • AMS: 94A15    Information theory, general
  • AMS: 94A17    Measures of information, entropy
  • AMS: 94A20    Sampling theory
  • AMS: 94A24    Coding theorems (Shannon theory)
  • AMS: 94A29    Source coding
  • AMS: 94A40    Channel models
  • AMS: 94A45    Prefix, length-variable, comma-free codes
  • AMS: 94A60    Cryptography
  • AMS: 94A62    Authentication and secret sharing
  • AMS: 94A99    None of the above, but in this section
• AMS: 94Bxx    Theory of error-correcting codes and error-detecting codes
  AMS: 94B*     (including sub-levels)
  • AMS: 94B05    Linear codes, general
  • AMS: 94B15    Cyclic codes
  • AMS: 94B25    Combinatorial codes
  • AMS: 94B27    Geometric methods (including applications of algebraic geometry)
  • AMS: 94B35    Decoding
  • AMS: 94B60    Other types of codes
  • AMS: 94B70    Error probability
  • AMS: 94B75    Applications of the theory of convex sets and geometry of numbers (covering radius, etc.)
  • AMS: 94B99    None of the above, but in this section
• AMS: 94Cxx    Circuits, networks
  AMS: 94C*     (including sub-levels)
  • AMS: 94C05    Analytic circuit theory
  • AMS: 94C10    Switching theory, application of Boolean algebra; Boolean functions
  • AMS: 94C12    Fault detection; testing
  • AMS: 94C15    Applications of graph theory
  • AMS: 94C99    None of the above, but in this section
• AMS: 94Dxx    Fuzzy sets and logic (in connection with questions of Section 94)
  AMS: 94D*     (including sub-levels)
  • AMS: 94D05    Fuzzy sets and logic (in connection with questions of Section 94)

MATHEMATICS EDUCATION

AMS: 97       All of this section
AMS: 97-XX    Not classified at a more specific level

• AMS: 97-00    General reference works
• AMS: 97-01    Instructional exposition
• AMS: 97-02    Research exposition
• AMS: 97-03    Historical
• AMS: 97-04    Explicit machine computation and programs
• AMS: 97-06    Proceedings, conferences, collections, etc.

• AMS: 97Axx    General
  AMS: 97A*     (including sub-levels)
  • AMS: 97A20    Recreational mathematics
  • AMS: 97A30    History of mathematics and mathematics education
  • AMS: 97A80    Standards
  • AMS: 97A90    Fiction and games
• AMS: 97Bxx    Educational policy and educational systems
  AMS: 97B*     (including sub-levels)
  • AMS: 97B10    Educational research and planning
  • AMS: 97B20    General education
  • AMS: 97B40    Higher education
  • AMS: 97B50    Teacher education
  • AMS: 97B70    Syllabuses. Curriculum guides, official documents
• AMS: 97Cxx    Psychology of and research in mathematics education
  AMS: 97C*     (including sub-levels)
  • AMS: 97C30    Student learning and thinking (misconceptions, cognitive development, problem solving, etc.)
  • AMS: 97C40    Assessment (large scale assessment, validity, reliability, etc.)
  • AMS: 97C50    Theoretical perspectives (learning theories, epistemology, philosophies of teaching and learning, etc.)
  • AMS: 97C60    Sociological aspects of learning (culture, group interactions, equity issues, etc.)
  • AMS: 97C70    Teachers, and research on teacher education (teacher development, etc.)
  • AMS: 97C90    Teaching and curriculum (innovations, teaching practices, studies of curriculum materials, effective teaching, etc. )
  • AMS: 97C99    None of the above, but in this section
• AMS: 97Dxx    Education and instruction in mathematics
  AMS: 97D*     (including sub-levels)
  • AMS: 97D10    Comparative studies on mathematics education
  • AMS: 97D20    Philosophical and theoretical contributions to mathematical education
  • AMS: 97D30    Goals of mathematics teaching. Curriculum development
  • AMS: 97D40    Teaching methods and classroom techniques. Lesson preparation. Educational principles
  • AMS: 97D50    Teaching problem solving and heuristic strategies
  • AMS: 97D80    Teaching units, draft lessons and master lessons
• AMS: 97Exx    Foundations of mathematics
  AMS: 97E*     (including sub-levels)
• AMS: 97Fxx    Arithmetic, number theory
  AMS: 97F*     (including sub-levels)
• AMS: 97Gxx    Geometry
  AMS: 97G*     (including sub-levels)
• AMS: 97Hxx    Algebra
  AMS: 97H*     (including sub-levels)
• AMS: 97Ixx    Analysis
  AMS: 97I*     (including sub-levels)
• AMS: 97Kxx    Combinatorics, graph theory, probability theory, statistics
  AMS: 97K*     (including sub-levels)
• AMS: 97Mxx    Mathematical modeling, applications of mathematics
  AMS: 97M*     (including sub-levels)
• AMS: 97Nxx    Numerical mathematics
  AMS: 97N*     (including sub-levels)
• AMS: 97Pxx    Computer science
  AMS: 97P*     (including sub-levels)
• AMS: 97Qxx    Computer science education
  AMS: 97Q*     (including sub-levels)
• AMS: 97Rxx    Computer science applications
  AMS: 97R*     (including sub-levels)
• AMS: 97Uxx    Educational material and media. Educational technology
  AMS: 97U*     (including sub-levels)
  • AMS: 97U40    Problem books; student competitions, examination questions
  • AMS: 97U50    Computer assisted instruction and programmed instruction
  • AMS: 97U70    Technological tools (computers, calculators, software, etc.) and their use in the classroom
  • AMS: 97U80    Audiovisual media and their use in instruction
  • AMS: 97U99    None of the above, but in this section

Letzte Änderung: 20.07.2012 Gabriele Dörflinger