textbooks, tutorial papers, etc.) # instructional exposition (   93-01  
textbooks, tutorial papers, etc.) # instructional exposition (   94-01  
textbooks, tutorial papers, etc.) # instructional exposition (   97-01  
textbooks. textbook use in the classroom # analysis of textbooks, development and evaluation of    97U20  
texture   74E25  
th and 16th centuries, renaissance # 15   01A40  
th centuries, renaissance # 15th and 16   01A40  
th century # 17   01A45  
th century # 18   01A50  
th century # 19   01A55  
th century # 20   01A60  
th problem and ramifications) # theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16   34C07  
theorem # Hilbertian fields; Hilbert's irreducibility    12E25  
theorem proving (deduction, resolution, etc.)   68T15  
theorem, asphericity # Dehn's lemma, sphere theorem, loop    57M35  
theorem, loop theorem, asphericity # Dehn's lemma, sphere    57M35  
theorem. polynomials. finite sums) # elementary algebra (variables, manipulation of expressions. binomial    97H20  
theorems # $L^p$-limit    60F25  
theorems # abstract inverse mapping and implicit function    47J07  
theorems # algebraic dependence    32J10  
theorems # analytic algebras and generalizations, preparation    32B05  
theorems # axioms for homology theory and uniqueness    55N40  
theorems # Cauchy - Kovalevskaya    35A10  
theorems # central limit and other weak    60F05  
theorems # characterization    20B10  
theorems # classification    32Q57  
theorems # configuration    51A20  
theorems # cut-elimination and normal-form    03F05  
theorems # density    11R45  
theorems # differentiation (functions of one variable): general theory, generalized derivatives, mean-value    26A24  
theorems # duality    22D35  
theorems # duality    32C37  
theorems # embedding    18E20  
theorems # embedding    32Q40  
theorems # fixed-point    47H10  
theorems # fixed-point and coincidence    54H25  
theorems # general    40D05  
theorems # general existence and uniqueness    35A05  
theorems # general structure    20E34  
theorems # inclusion and equivalence    40D25  
theorems # index theory and related fixed point    58J20  
theorems # inverse    41A27  
theorems # inversion    40Exx  
theorems # lacunary inversion    40E15  
theorems # limit    60Fxx  
theorems # local existence and uniqueness    35A07  
theorems # mean value and transfer    11H60  
theorems # proper mappings, finiteness    32H35  
theorems # Riemann - Roch    14C40  
theorems # series solutions, expansion    35C10  
theorems # Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace    46E35  
theorems # strong    60F15  
theorems # structure, classification    13C05  
theorems # Tauberian    11M45  
theorems # vanishing    14F17  
theorems # vanishing    32L20  
theorems (Shannon theory) # coding    94A24  
theorems and generalizations # Picard-type    32H25  
theorems and geometric transversal theory # Helly-type    52A35  
theorems concerning automorphisms of groups # general    20E36  
theorems for vector-valued random variables (infinite-dimensional case) # limit    60B12  
theorems in conformal mapping theory # covering    30C25  
theorems of Fatou type, etc.) # boundary behavior (   31A20  
theorems of Hahn - Banach type; extension and lifting of functionals and operators   46A22  
theorems on manifolds # fixed point    58C30  
theorems on summability # direct    40Dxx  
theorems via direct methods # $n$-vertex    51L15  
theorems) # general behavior of solutions of PDE (comparison theorems; oscillation, zeros and growth of solutions; mean value    35B05  
theorems) # homological conjectures (intersection    13D22  
theorems) # polynomials: location of zeros (algebraic    12D10  
theorems, Bockstein operator # universal coefficient    55U20  
theorems, Chern characters # Riemann - Roch    19L10  
theorems, etc.) # analytical consequences of geometric convexity (vanishing    32F32  
theorems, general # Tauberian    40E05  
theorems, Jacobians, transformations with several variables # implicit function    26B10  
theorems, spectral theory, Markov operators # ergodic    37A30  
theorems, topological classification, invariants # topological aspects: Lefschetz    32S50  
theorems, trace theorems # Sobolev spaces and other spaces of ``smooth'' functions, embedding    46E35  
theorems, universal categories # embedding    18B15  
theorems; completeness (including $B$-, $B_r$-completeness) # open mapping and closed graph    46A30  
theorems; global Newton methods # implicit function    58C15  
theorems; invariance principles # functional limit    60F17  
theorems; oscillation, zeros and growth of solutions; mean value theorems) # general behavior of solutions of PDE (comparison    35B05  
theorems; other additive questions involving primes # Goldbach-type    11P32  
theorems; subgroup growth # subgroup    20E07  
theoretical approximation of solutions   34A45  
theoretical approximation of solutions   34K07  
theoretical approximation of solutions   45L05  
theoretical approximation to solutions   35A35  
theoretical contributions to mathematical education # philosophical and    97D20  
theoretical foundations in other disciplines) # discrete mathematics (finite methods in various mathematical fields, especially used as    97N70  
theoretical perspectives (learning theories, epistemology, philosophies of teaching and learning, etc.)   97C50  
theoretical topology, catastrophe theory, non-standard analysis, fractals, chaos theory) # miscellaneous (e.g.: functional analysis, set    97I90  
theories # (semi-) Fredholm operators; index    47A53  
theories # categoricity and completeness of    03C35  
theories # categories and    18Cxx  
theories # classical field    70Sxx  
theories # existence    49Jxx  
theories # exotic index    58J22  
theories # generalized (extraordinary) homology and cohomology    55N20  
theories # higher-order    70H50  
theories # homology and cohomology    514.23  
theories # homology and cohomology    55Nxx  
theories # Kaluza - Klein and other higher-dimensional    83E15  
theories # large-strain, rate-dependent    74C20  
theories # micromechanical    74A60  
theories # model quantum field    81T10  
theories # models of other mathematical    03C65  
theories # molecular, statistical, and kinetic    74A25  
theories # more general nonquantum field    70S20  
theories # nonclassical and second-order set    03E70  
theories # other (co)homology    18G60  
theories # other homology    55N35  
theories # perturbation    70H09  
theories # quantum field theory; related classical field    81Txx  
theories # relations with cohomology    19E20  
theories # relativistic gravitational theories other than Einstein's, including asymmetric field    83D05  
theories # spectral and representation    515.722  
theories # string and superstring    83E30  
theories # supersymmetric field    81T60  
theories # topological field    81T45  
theories # topological quantum field    57R56  
theories # unified    81V22  
theories # unified, higher-dimensional and super field    83Exx  
theories # Yang - Mills and other gauge    70S15  
theories # Yang - Mills and other gauge    81T13  
theories (e.g. algebraic theories), structure, and semantics   18C10  
theories (including nonlinear plasticity) # large-strain, rate-independent    74C15  
theories (including reverse mathematics) # foundations of classical    03B30  
theories (including rigid-plastic and elasto-plastic materials) # small-strain, rate-independent    74C05  
theories (including theories of viscoplasticity) # small-strain, rate-dependent    74C10  
theories and sets of sentences # decidability of    03B25  
theories for operators and differential equations # perturbation    81Q15  
theories of fracture and damage   74A45  
theories of friction (tribology)   74A55  
theories of viscoplasticity) # small-strain, rate-dependent theories (including    74C10  
theories other than Einstein's, including asymmetric field theories # relativistic gravitational    83D05  
theories), structure, and semantics # theories (e.g. algebraic    18C10  
theories, conformal field theories, etc. # two-dimensional field    81T40  
theories, epistemology, philosophies of teaching and learning, etc.) # theoretical perspectives (learning    97C50  
theories, etc. # two-dimensional field theories, conformal field    81T40  
theories, formal group laws # bordism and cobordism    55N22  
theories, including dynamic programming # Hamilton - Jacobi    49Lxx  
theories, radicals # torsion    18E40  
theories, radicals on module categories # maximal ring of quotients, torsion    16S90  
theories; other extended objects (e.g., branes) # string and superstring    81T30  
theory # $2$-body potential scattering    81U05  
theory # $K$-   19-XX  
theory # $K$-   55N15  
theory # $K$-theory in number    19Fxx  
theory # $n$-body potential scattering    81U10  
theory # $p$-adic    11E95  
theory # (co)homology    14Fxx  
theory # abstract and axiomatic computability and recursion    03D75  
theory # abstract and axiomatic homotopy    55U35  
theory # abstract bifurcation    47J15  
theory # abstract bifurcation    58E07  
theory # abstract measure    515.783  
theory # abstract model    03C95  
theory # actions of groups and semigroups; invariant    16W22  
theory # actions of groups on commutative rings; invariant    13A50  
theory # algebra, number    512  
theory # algebraic    14K05  
theory # algebraic $K$-theory and $L$-   18F25  
theory # algebraic number    512.74  
theory # analysis on ordered groups, $H^p$-   43A17  
theory # analytic circuit    94C05  
theory # analytic number    512.73  
theory # applications of computability and recursion    03D80  
theory # applications of design    94C30  
theory # applications of game    91A80  
theory # applications of graph    94C15  
theory # applications of logic to group    20A15  
theory # applications of methods of algebraic $K$-   14C35  
theory # applications of model    03C98  
theory # applications of set    03E75  
theory # applications to control    58E25  
theory # applied homological algebra and category    55Uxx  
theory # asymptotic    34Exx  
theory # asymptotic    34K25  
theory # asymptotic distribution    62E20  
theory # axiomatic potential    31D05  
theory # axiomatic system    93A05  
theory # bifurcation    34K18  
theory # bifurcation    37H20  
theory # boundary    60J50  
theory # boundary-layer    76N20  
theory # Calabi - Yau    32Q25  
theory # catastrophe    58K35  
theory # category    512.62  
theory # characterization and structure    62E10  
theory # characterization and structure    62H05  
theory # class field    11R37  
theory # classical Banach spaces in the general    46B25  
theory # classical measure    28Axx  
theory # cohomology    20G10  
theory # communication    94A05  
theory # computability and recursion    03Dxx  
theory # computational learning    68Q32  
theory # computational number    11Yxx  
theory # connections of semigroups with homological algebra and category    20M50  
theory # connections with homological algebra and category    20Jxx  
theory # connections, general    53C05  
theory # constructive operator    47S30  
theory # constructive quantum field    81T08  
theory # consumer behavior, demand    91B40  
theory # control    515.642  
theory # convex sets in topological linear spaces; Choquet    46A55  
theory # covering theorems in conformal mapping    30C25  
theory # database    68P15  
theory # de_Rham    58A12  
theory # decision    519.542  
theory # decision    62Cxx  
theory # decision    91B05  
theory # degree    47H11  
theory # descriptive set    03E15  
theory # detection    94A13  
theory # dimension    54F45  
theory # dimension    55M10  
theory # Diophantine approximation, transcendental number    11Jxx  
theory # distribution    515.782  
theory # distribution    60Exx  
theory # distribution    62Exx  
theory # distribution of values, Nevanlinna    30D35  
theory # distributions: general    60E05  
theory # duality    46A20  
theory # duality    49N15  
theory # dynamical systems and ergodic    37-XX  
theory # effective and recursion-theoretic model    03C57  
theory # elementary number    512.72  
theory # elementary number    11Axx  
theory # elliptic equations on manifolds, general    58J05  
theory # entire functions, general    30D20  
theory # equilibrium: general    91B14  
theory # equivariant $K$-   19L47  
theory # equivariant homotopy    55P91  
theory # ergodic    515.48  
theory # ergodic    37Axx  
theory # ergodic    47A35  
theory # estimation    519.544  
theory # exact distribution    62E15  
theory # existence, uniqueness, and regularity    76B03  
theory # existence, uniqueness, and regularity    76D03  
theory # existence, uniqueness, and regularity    76N10  
theory # extension    13B02  
theory # extremal set    05D05  
theory # families, moduli, classification: algebraic    14J10  
theory # fine potential    31C40  
theory # finely holomorphic functions and topological function    30G12  
theory # fixed points, periodic points, fixed-point index    37C25  
theory # foliations; geometric    57R30  
theory # foundations of probability    60Axx  
theory # foundations, general theory of cocycles, algebraic ergodic    37H05  
theory # functional analytic lifting    46G15  
theory # functionals in proof    03F10  
theory # fuzzy measure    28E10  
theory # fuzzy operator    47S40  
theory # fuzzy set    03E72  
theory # G\"odel numberings in proof    03F40  
theory # Galois    512.32  
theory # Galois    11R32  
theory # Galois    11S20  
theory # game    519.3  
theory # game    91Axx  
theory # games involving topology or set    91A44  
theory # general    17A01  
theory # general    34Axx  
theory # general    34K05  
theory # general    35Axx  
theory # general    35E20  
theory # general    51B05  
theory # general    51H05  
theory # general    51J05  
theory # general    51K05  
theory # general    65J05  
theory # general commutative ring    13Axx  
theory # general field    12Exx  
theory # general mathematical topics and methods in quantum    81Qxx  
theory # general module    16D10  
theory # general spectral    34L05  
theory # general structure    20M10  
theory # general valuation    12J20  
theory # generalized class field    19F05  
theory # generalized function    30Gxx  
theory # generalized Ramsey    05C55  
theory # geometric class field    11G45  
theory # geometric function    30Cxx  
theory # geometric group    20F65  
theory # geometric invariant    14L25  
theory # global    58K30  
theory # graph    05Cxx  
theory # graph    68R10  
theory # graph    97K30  
theory # Grothendieck groups, $K$-   13D15  
theory # group-invariant bifurcation    58E09  
theory # groups and algebras in quantum    81Rxx  
theory # groups and group    512.2