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Fuchs D., Tabachnikov S. — Mathematical omnibus: Thirty lectures on classical mathematics
Fuchs D., Tabachnikov S. — Mathematical omnibus: Thirty lectures on classical mathematics



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Название: Mathematical omnibus: Thirty lectures on classical mathematics

Авторы: Fuchs D., Tabachnikov S.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: web draft

Количество страниц: 457

Добавлена в каталог: 07.10.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
3-web, hexagonal      250
3-web, rectilinear      250
3-web, trivial      248
Addition of points on cubic curve      252
Affine chart      114
Affine transformation      397
Affine vertex      150
Alexander horned sphere      358
Apparent contour      135 386
Arnold theorem      413
Average absolute curvature      269
Bellows conjecture      347
Beltrami theorem      271
Beltrami — Klein model      271
Berry Law      215 384
Bezout theorem      234
Billiard ball map      377
Binomial coefficients      27
Binormal      210
Bricard octahedron      338
Brown theorem      362
Buffon Needle Problem      267
Cantor set      363
Cardano formula      66
Cardioid      123
Catalan numbers      42
Cauchy Lemma      152
Caustic      140 381 395
Center of curvature      140
Center symmetry set      165
Chappie formula      407
Chasles theorem      386
Chebyshev net      256
Chebyshev polynomials      102
Commutator of loops      87
Complete non-integrability      256
Confocal family of conics      380
Confocal family of quadrics      385 415
Connelly polyhedron      344
Contact structure      256
Continued fraction      11
Convergent      12
Conway tiling group      317
Coriolis force      290
Coulomb law      409
Crofton formula      265
Cross-ratio of four points      271
Curvature of curve      140 209 277
Curvature of polygon      277
Curvature of polyhedral cone      278
Curvature of surface      286
Curvature, radius      140
Cusp      123
Cuspidal edge      190
Cycloid      123
d-web      247
de Moivre formula      70
Dehn invariant      304
Descartes rule      92
Deviation from zero      99
Discriminant      68 117
DNA geometric inequality      269
Double points      167
Double tangent      167 234
Dual curves      112
Dual planes      111
Dual polyhedral cone      279
electrical circuits      322
Elliptic coordinates      385
Envelope      108
Equation solvable in radicals      78
Equiareal tiling      324
Equipartite polyhedra      307
Equipotential surface      409
Euclidean algorithm      14
Euler characteristic      278
Euler formula      278
Euler function      44
Euler identity      43
Evolute      125 140
Extactic points      151
Fabricius-Bjerre formula      168
Fary — Milnor Theorem      268
Fermat principle      377
Ferrand formula      171
Fibonacci number      60
Figure of constant width      267
Finsler geometry      271
Flexible polyhedron      338
fold      208
Foucault pendulum      289
Four Vertex Theorem      125 139
Fourier series      147
Fourier — Budan theorem      97
Free distribution of charge      411
Frenet formulas      438
Front      128
Fundamental theorem of algebra      95
Fundamental Theorem of Ordinary Differential Equations      256
Fuss formula      407
Gauss identity      50
Gauss theorem      181
Gauss — Bonnet theorem      282 288
Geodesic      271 281 288 389
Geodesic curvature      210 288
Geometrical optics      265 377
Ghys theorem      151
Gram theorem      291
Graves theorem      382
Gromov h-principle      370
Hamel theorem      272
Harnack theorem      417
Heron formula      404
Hilbert Fourth problem      270
Hilbert metric      271
Hilbert Sixteen problem      417
Homeoid      411
Homogeneous coordinates      114
Hurwitz — Borel theorem      10
Hyperbolic geometry      271
Hyperbolic paraboloid      222
Hyperbolic polynomial      97
Immersed disc      181
Incomplete quotients      12
Indicatrix      271
Inflection points      128 167 209
Interior point of algebraic surface      412
Involute      140
Ivory lemma      415
Jacobi identity      51
Jacobsthal theorem      35
Jordan theorem      355
Kirby — Siebenmann theorem      362
Kirchhoff Laws      322
Klein identity      55
Kummer theorem      35
Lagrange multipliers principle      378
Lagrangian      272
Lattice      7
Linear family of quadrics      389
Locally flat surface      363
Long curves      173
Lucas theorem      32
Macdonald identities      57
Malfatti problem      405
Minkowski geometry      272
Moebius band      199 263
Moebius theorem      150
Most elementary theorem of Euclidean geometry      384
Nash — Kuiper theorem      371
Newton polygon      16
One-sheeted hyperboloid      220
Optical property of conics      379
Optical property of parabola      213
Osculating, circle      139
Osculating, conic      150
Osculating, plane      196 210
Outer billiards      157
Pappus configuration      250
Pappus theorem      252
Parallel translation      281
Partition of a number      47
Pascal theorem      252
Pascal triangle      28
Pascal triangle formula      27
Peano curve      364
Pencil of conics      399
Pentagonal numbers      44
permutations      80
Permutations, even      81
Permutations, odd      81
Pick formula      23
Plucker formulas      170
Poncelet grid      401
Poncelet Porism      397
Potential      409
Privileged exponents      55
Projective duality      115
Projective plane      114
Projective transformation      398
Real projective line      151
Regular homotopy      172
Reuleaux triangle      274
Ridge      208
Riemann $\zeta$-function      59
Riemann hypothesis      59
Riemannian metric      271
Rolle theorem      92 270
Rotation number      177
Schoenflies theorem      356
Schwarzian derivative      152
Semicubic parabola      111 123
Sextactic point      150
Sierpinski carpet      31
Signed tiling      313
Simply connectedness      361
Smale — Hirsch theory      175 371
Steffen polyhedron      345
Steiner theorem      401
String construction      142 379 381
Sturm method      93
Sturm sequence      93
Sturm — Hurwitz theorem      147
Support function      146 267
surface      219
Surface, cubic      233
Surface, developable      185
Surface, doubly ruled      222
Surface, ruled      186 201 220
Surface, triply ruled      222
Swallow tail      115 193
Symmetric polynomials      73
Symmetric polynomials, elementary      73
Symmetry set      149
Tait — Kneser theorem      143
Tangent indicatrix      268
Tarski plank problem      264
Tennis ball theorem      151
Teorema Egregium      288
Third problem      299
Torsion      210
Total absolute curvature      269
Total mean curvature      350
Translation surface      258
Vertex of a curve      139
Weiner formula      170
Whitney theorem      172
Width of a figure      267
Winding number      172
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