Lane S.M. — Mathematics, form and function :: Электронная библиотека попечительского совета мехмата МГУ

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Lane S.M. — Mathematics, form and function

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Название: Mathematics, form and function

Автор: Lane S.M.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1985

Количество страниц: 487

Добавлена в каталог: 01.12.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Double integral      174
Double pendulum      233
Dual      171
Dual basis      194
Dual diagrams      144 395
Dual pairing      195
Dual space      193
Dynamics      259ff
Dynamics of Mathematics      454
Eccentricity      263
Econometrics      168
Eigenvalue      192
Eigenvector      192
Eilenberg — Mac Lane spaces      447
Electromagnetic potentials      314
Elementary divisors      217
Elementary topos      400
Ellipsoids      204
Elliptic geometry      73
Empiricism      4 456
Empty set      28 132 363
End (of a path)      322
Endomorphism      136 186
Energy      266 282
Entire functions      340 420
Enumeration      35
Epic map      401
Epimorphism      136
Epistemology      443 448
Equality of sets      128 363
Equinumerous      54
Equipotential      314
EQUIVALENCE      399
Equivalence class      133
Equivalence relation      133
Equivalent subobjects      399
Erdos      431
Erlanger Program      134 407
Essential singularity      342
estimating      35
Euclidean algorithm      49
Euclidean geometry      63ff
Eudoxus      76
Euler equations      261 289
Euler function      53
Euler's angles      296
Evaluating a function      194
Evaluation      194 397
Even permutation      134
Exact sequence      144
Examples, study of      432
Excess of angle sum      227
EXISTS      130 163 371
Exponential      9 308 396
Exponents      399
Extended plane      117
Extension      28 44 144
Extensionality      28 363
Exterior algebra      211 212
Exterior derivative      177
Extracted      418
Factor group      138 208
Factorials      167
Factorization into primes      419
Feit      452
Fermat      2 36 419
Fermat principle (mechanics)      292
Fermat theorem      2 36 49
Fiber derivative      288
Fibered product      395
Field      98
figure      17 62—63
Finite limit      395
Finite simple group action      429
Finitism      455
First fundamental form      227
First order logic      370 372
FLUENT      158
Fluid flow      316
Fluxion      158
Focus      263
force      159 260 265 314
Forcing      385
Formal      10 410 414
Formal functionalism      456
Formal power series      102
Formal proof      374
Formalism      3 414 454
Formalization of Math      454
Formula      44 126 369 371
Foundation of calculus      162
Foundation of Mathematics      3—4 358 365 406 454
Four group      13 19 441
Fourier series      181 359 450
Fractional linear transformation      118 144 308
Fractions      51
Frames (moving)      222
Free graded algebra      211
Free group      144 325
Free group action      144 325
Free product      143
Free variable      371
Frege      20 455
Friezes      20
Function      123 129 386 412
Function field      420
Function set      396
Function space      187
Functionalism      456
functor      388
Functor category      392
Functorial      208 213
Fundamental form      227
Fundamental group      324 388
Fundamental theorem of algebra      116 340
Fundamental theorem of calculus      177
Fuzzy set      439
Galois      25 37 87 141
Galois group      138 210
Galois theory      437
Gauge theories      259 278
Gauss      70 223
Gauss lemma      320
Gaussian curvature      223 227
General linear group      38 134 190
Generalization      434—435
Generalization by modification      435
Generalization from cases      434
Generalized force      271
Genus      239
Geodesic      74
Geometric series      333
Geometry      61—92 219—258 422
Germ of a function      351 355
Global Properties      236
Goedel      3 449
Goedel incompleteness      379
Goldbach      49 429
Graded algebra      211
Graded ring      211
Graded vector space      211
Gradient      170 249
Gram — Schmidt      198
Graph      30 127 129 430
Graph theory      452
Gravitation      260
Green's theorem      176
Grothendieck      451
Group      23 135—138
Group action      85

Group extension      145
Groupoid      326 387
Gudermann      430
Half-turn      79 87
Hall — Higman      452
Hamilton coordinates      452
Hamilton equation      283
Hamilton principle      279
Hamilton — Jacobi equation      292
Hamiltonian      282
Harmonic      314
Harmonic analysis      180 359
Harmonic function      180
Harmonic motion      180—181
Harmonic series      333
Hausdorff space      33 238
Heine — Borel      40 165
Hermitian      204
Hey ting algebra      402
Hierarchy      359 362 366 384
Higman      452
hilbert      3 63 414 432
Hilbert space      201 414 437
Hilbert's problems      428 430
Historical order      4
Holomorphic function      312
Holonomic constraints      272
Homeomorphism      136
Homogeneous      186
Homology      331
Homology group      217
Homomorphism      24 46 86 135 344
Homotopic      323
Human activities      34
Hungarian Mathematics      430
Hyperbolic geometry      70
Hyperboloids      204
Hyperplanes      91
icosahedron      134
Ideal      210 419
Ideas      34 287 409 415 444
Identity      386
Identity Law      386
Identity matrix      192
Identity transformation      21
If and only if      27
Image      132 137 189
Imaginary      118
Implication      27 369
Implicit function theorem      290
Incidence axiom      63
Inclusion of sets      28 363
Incompressible fluid      316
Indefinite integral      156
Indefinite integral domain      156
Independence theorem      384
Independent      384
Independent axioms      70
Index up, down      199
Induced homomorphism      137
Induced topology      237
Induction      44
Infinite      11 117
Infinite dimensional      187
Infinite series      101 333
Infinitesimal      152 154
infinity      116 117 364
Initial condition      161
Initial object      395
Injection      21 132 396
Injective      21
Inner automorphism      136—137
Inner product      113
Inner product space      113 197
Inside      64 321
Insight      438
Instantaneous rate      154
INTEGER      50
Integral domain      215
Intension of properties      22
Interior angles      67
Intersection      26 28 204
Intersection multiplicity      435
interval      163
Intrinsic geometry      226—227
Intuitionism      4 402 454
Invariance      37
Invariant      221
Invariant factors      216
Invariant formulation      433
Inverse      9 132
Inverse image      344 401
Inverse path      322
Inverse square law      260
Involution      87
Irrational numbers      75 94
Irreducible      118 187
Irrotational flow      316
Isomorphism      46 136
Isomorphism of groups      24
Isotropy group      85
Jacobian      275
jet      250
Join      29
Jordan canonical form      217
Jordan curve      321 435 440
Jordan — Hoelder theorem      141 437
Kepler's laws      158 260
Kernel      210
Kernel pair      137
kinetic energy      265
Klein      87 134 407
Korteweg — de Vries equation      439
Kreisel      5
kronecker      442
Kronecker delta      194
Krull      451
Kummer      359 412 419 429
Kuratowski      431
Labelling      7
Lagrange      37 269
Lagrange equation      267ff
Lagrangian      273
Language      371 372
Laplace equation      180
Laplace operator      314
Large cardinal numbers      385
Latitude      221—222
Lattice      29 428
Laurent series      341
Law of Cosines      113
Law of gravitation      260
Law of Sines      113
Law of the mean      164
Least action      282
Least upper bound      15 28
Lebesgue integral      179
Lebesgue integral domain      179
Left adjoint      398
Left inverse      132
Left side of      83—84
Left vector space      187
Legendre transformation      286
Length of a curve      220
Length of a vector      197
Less than      13 99
Level lines      248 344
Lexicographic order      57
Lie      87
Lie algebra      303

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