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| Авторизация |
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| Zeldovich Ya.B., Yaglom I.M. — Higher Math for Beginners |
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| Предметный указатель |
Equipotential curve 510
Escape velocity 332
Essential singular point 481
Ether 518
Euclid 121
Euler broken line 201
Euler formula(s) 465 466
Euler's constant 246
Euler, L. 210 211 212 379 384 385 386 474 475 483 518
Evaporation of liquids 396
Even function 56
Evolute 269
Evolute of a cycloid 270
Evolute of a parabola 269
Exponential curve, arc length of 264
Exponential function 144
Extrapolation 26
Faraday, M. 453 454
Fedorov group 524
Fedorov, E.S. 524
Feller, W. 523
Fermat's principle 125 221
Fermat, P. 121 122 130
Fermium 287
Field of directions 201
Field, electric 517
Field, magnetic 453
Fikhtengol'ts, G.M. 530
First approximation for functions 177
First theorem of Pappus 274
Flow, complex velocity of 510
Flow, irrotational (or votex-free) 509
Flow, plane-parallel 509
Flow, potential 509
Flow, rate of 203
FLUENT 124
Fluid dynamics 350
Fluid mechanics 509
Fluxion 124
Flyorov, G.N. 289 294
Fokker — Planck equation 523
Fokker, A. 523
Fomenko, A.T. 522
Force of gravity 310
Force, impulse of 317
Force, work performed by 114
Forced oscillations 366 497f
Formula, empirical 26
Fourier analysis 386
Fourier analyzer 386
Fourier integral 386 495
Fourier series 386 495 498
Fourier, J.B. 212 379 386
Fourth-power law 410
Fractional (rational) numbers 458
frequency 55 358
Frequency, natural 366 444
Function(s) 23
Function(s) of a complex variable 212 213
Function(s) of two variables 154
Function(s), algebraic 139
Function(s), analytic 477
Function(s), approximations of 178
Function(s), argument of 23
Function(s), composite 134
Function(s), concave 235
Function(s), convex 234
Function(s), cubic 57
Function(s), cuspidal maxima (minima) of 224
Function(s), decrease of 85
Function(s), dependent on a parameter 173
Function(s), elementary 169
Function(s), even 56
Function(s), exponential 144
Function(s), first approximation for 177
Function(s), Green 499
Function(s), growth of 85
Function(s), harmonic 315 480
Function(s), hyperbolic 469ff
Function(s), implicit 158
Function(s), increase of 85
Function(s), infinitely valued 152
Function(s), inverse 47 135 467
Function(s), inverse trigonometric 151
Function(s), linear 30
Function(s), linear approximation for 177
Function(s), linear-fractional 51 57
Function(s), locally monotonic 50
Function(s), logarithmic 145 468
Function(s), maximum of 38 83 226
Function(s), mean value of 253
Function(s), minimum of 38 83 226
Function(s), monotonic 49
Function(s), multiple-valued 152 159
Function(s), nonsmooth maxima (minima) of 224
Function(s), odd 56
Function(s), order of increase of 196
Function(s), parametric representation of 136
Function(s), period of 55
Function(s), periodic 55
Function(s), pole of 505
Function(s), power 46 138
Function(s), primitive 106
Function(s), quadratic 37
Function(s), rate of change of 177
Function(s), rate of growth of 86
Function(s), second derivative of 89
Function(s), signum 491
Function(s), sine integral 187
Function(s), stream 510
Function(s), trigonometric 148 466
Function(s), two-valued 50
Functional 218
Functional analysis 213
Functional relationship 23
Fundamental theorem of algebra 461
Fundamental theorem of higher mathematics 101
Fundamental tone 385
Galilean transformations 325
Galilei, G. 113 121 322
Galois group 528
Galois, E. 524 527
Gas pressure 388
Gaseous state of matter 234
Gauss, K.F. 213 380 474 484 521
Gel'fand, I.M. 488
General solution to differential equations 204
General theory of relativity 323
Geometric mean 236
Geometric progression 141 188
Gibbs, W. 112
Glow discharge 427
Gnedenko, B.V. 523
Goethe, J.W. von 112
Gradshteyn, I.S. 170
Graph of function 30
Graphs, transformation of 50
Gravitational paradox 325
Gravity, force of 310
Grazing fire 329
Green function 499 515
Green, G. 515
Grenville, V. 13
Group(s), Abel (or commutative) 527
Group(s), continuous 526
Group(s), discrete 526
Group(s), Fedorov 524
Group(s), Galois 528
Group(s), Klein 527
Group(s), Lie 527
| Group(s), Shubnikov 524
Group(s), symmetry 524
Growth of function 85
Guldin theorems 274
Guldin, P. 274
Hahn, O. 294
Half-life of radioactive atoms 282
Half-width at half-maximum 451
Half-width of resonance curve 451
Hall, A.R. 125
Halliday, D. 530
Hamilton, W.R. 525
Harmonic analysis 380
Harmonic functions 315 480
Harmonic mean 236
Harmonic oscillations 360
Heisenberg, W. 526 528
Helbert, D. 213 521 528
Hermite, Ch. 15
Hertz 358
Hertz, H. 358 454
Higher mathematics, fundamental theorem of 101
Hoffmann, L.D. 530
Homothetic transformation 42
Hooke's law 115
Hooke, R. 115
Horizontal asymptote 278
Huygens, Ch. 122 123 210 270
Hyperbola 35
Hyperbola of degree n 45
Hyperbola of order n+1 45
Hyperbola, equilateral 35
Hyperbolic angle 471
Hyperbolic cosine 168 261 469
Hyperbolic functions 469ff
Hyperbolic sine 168 469
Hyperbolic tangent 470
Hypocycloid 61
Ideal gas law 233 388
Ideal-gas isotherms 233
Imaginary axis 460
Imaginary power 463
Imaginary unit 459
Implicit functions 158
Implicit functions, derivative of 158f
Improper integral 174
Impulse of force 317
Impulse, unit 335
Increase of function 85
Indefinite integral 104 198
Independent variable 23
INDEX 29
Inductance 421f
Inductance, energy of 435
Induction 453
Inequality, Jensen's 238
Inertial systems of coordinates 322
Infeld, L. 524
Infinite series 181
Infinite slope 33
Infinitely valued functions 152
Information, theory of 58
Initial condition for radioactive decay 281
Initial conditions for differential equations 199 376
Initial ordinate of straight line 31
Initial phase angle 359
Initial velocity 69
Instantaneous velocity 69 149
Integral curve 201
Integral(s), definite 96
Integral(s), Fourier 386 495
Integral(s), improper 174
Integral(s), indefinite 104 198
Integral(s), tabulated 168
integrand 98
Integrating functions dependent on a parameter 173
Integration by parts 167
Integration by substitution 168
Integration, changing the variables in 168
Integration, domain of 98
Integration, limits of 97
Integration, variable of 98
internal resistance 420
Interpolation 26
Inverse function(s) 47 135 467
Inverse function(s), derivative of 136
Inverse proportionality 35
Inverse trigonometric functions 151
Involute 269
Involute of a circle 270
Ioffe, A.F. 397 398
Irrational numbers 458
Irrotational (or vortex-free) flow 509
Isotherms 233
Isotherms, ideal gas 233
Isotherms, van der Waals 233
Jeans, J.H. 524
Jensen's inequality 238
Jensen's inequality, general 240
Jensen, J.L.W.V. 238
Joliot-Curie, F. 294
Joliot-Curie, I. 294
Jordan, C. 527
Kaempffer, F.A. 530
Kamerlingh-Onnes, H. 438
Kemery, J.G. 523
Kepler, J. 121 274
Khinchin, A.Ya. 523
kinetic energy 115 320
Kitaigorodsky, A.I. 530
Klein groups 527
Klein, F. 521 527
Kline, M. 473
Kolmogorov equation 523
Kolmogorov, A. 523
Kopylov, G.I. 531
Krylov, A.N. 16
Kurchatov, I.V. 294
l'Hospital's rule 196
L'Hospital, G.F.A. 210 211
Lagrange's theorem 258
Lagrange, J.L. 123 124 210 212 521 527
Landau, L.D. 530
Landsberg, G.S. 530
Lang, S. 530
Laser 416
Law of radiation, Stefan's 410
Law(s) of conservation of energy 354
Law(s) of large numbers 404
Law(s) of light refraction 221
Law(s) of motion 113
Law(s) of radioactive decay 281
Law(s), Avogadro's 388
Law(s), Boyle's 388
Law(s), Clapeyron ideal gas 388
Law(s), fourth-power 410
Law(s), Hooke's 115
Law(s), ideal gas 388
Law(s), Newton's first 316
Law(s), Newton's second 316
Law(s), Newton's third 320
Law(s), Ohm's 24 36
Law(s), statistical 523
Law(s), Stefan — Boltzmann 410
Law(s), Torricelli's 204
Lax, A. 530
Lax, P. 530
Leakage resistance 437
Leibniz and discovery of calculus 125
Leibniz, G. 10 113 122 123 130 209 210 211 261 483 484
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