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Lyons L. Ч All You Wanted to Know about Mathematics but Were Afraid to Ask - Mathematics for Science Students. Volume 1
Lyons L. Ч All You Wanted to Know about Mathematics but Were Afraid to Ask - Mathematics for Science Students. Volume 1

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Ќазвание: All You Wanted to Know about Mathematics but Were Afraid to Ask - Mathematics for Science Students. Volume 1

јвтор: Lyons L.

јннотаци€:

A few years ago, I was one of the examiners for the first year mathematics examination for Oxford undergraduates studying physics or engineering. I wanted to set a question which started as follows: 'A friend of yours has just been to his first lecture on the vector operators grad, div and curl. What would you tell him to help him appreciate their significance?' One of the other examiners, a mathematician, commented that this was a silly question since the students merely had to write down the standard definitions, as these determined all their properties.


язык: en

–убрика: ћатематика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1995

 оличество страниц: 341

ƒобавлена в каталог: 09.02.2014

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
$e^{i \theta}$      86Ч88 90Ч93 96 98Ч99 162
$\Delta^{++}$      130Ч132
$\gamma$ decay      315
$\pi$ meson      130Ч131
'Constant' of integration      152Ч153
Acceleration      44 48Ч49 78Ч79 81 138Ч139 236 318
Acceleration, radial      139 195
Acceleration, tangential      139 195
Addition of complex numbers      84Ч85
Aeroplane      14 286
Air resistance      138
Alpha decay      315
Alpha particle      142
Ammeter      107Ч108
Amplitude of oscillation      102 106 109 115 117 120Ч122 124 126 128 133Ч134 163 182Ч185 197
angular momentum      56Ч57 140 195 315
Angular velocity      57Ч58 69 78 107Ч108
Anticlockwise      57 79
Arbitrary constant      141 143 146 159Ч163 166Ч167 187 196 303Ч304
Area      56Ч57 61Ч62 224 231 276 303 307Ч308
Argand diagram      85Ч94 96 133Ч134
Argument of complex number      88Ч91 93Ч95 106 133 318
Arithmetic series      307Ч308
Atmosphere      45 293
Atomic physics      115 129
atoms      126Ч128 132 293 315
Axes of ellipse      19 41 276 283Ч285 293
Axes of ellipsoid      11Ч13
Axes, system of      23Ч24
Azimuthal angle      296 298
Bear      14
Bernoulli's equation      156Ч157 191 193
Beta decay      24 292 315
Billiard ball      295
Binomial coefficient      251 309
Binomial expansion      176Ч178 180 195 239 301
biology      142
Biot Ч Savart law      58
Black body radiation      292
Bohr atom      315
Boltzmann factor      292Ч293
Boltzmann's constant      291
Boundary      245 276
Breit Ч Wigner curve      129 132
Calculator      98 301Ч302 311Ч312
Capacitor      100Ч101 105Ч106 109Ч111 113Ч118 120Ч121 123 128 133 157Ч158 160 164
Car, second-hand      203Ч204 207Ч208
Catenary      137
Centre of mass      140
centripetal acceleration      79Ч80 140
Change of variable      213Ч217 221Ч229
Checks      75 98 155 173 194 198 307
circle      17Ч20 22 39Ч40 42 135 140 224 259Ч261 272
Cliff      251
Complementary function      100Ч101 108Ч110 123 126Ч127 158Ч167 169Ч172 177Ч178 180Ч181 183Ч184 189 191 194 196Ч197 199 319
Complex charge      105Ч106 120
Complex conjugate      90 91 106 113 162Ч163 179
Complex current      106Ч108 111 113Ч114
Complex frequency      109
Complex impedence      111Ч112 120 122 133
Complex number      46 82Ч114 162 168 180 186Ч187 189 318
Computer      192
Conductor, metallic      292
Cone      39Ч40
Constrained stationary value      274Ч295
Constraint      22 274Ч295
Contour lines      206Ч207 210 213 218Ч219 255 259Ч261 264Ч268 270Ч273 282 312Ч313
Coplanar      8 10 62 66 81
Coriolis acceleration      79Ч80
Cosine formula      41
Counter      15
Coupled electric circuits      142
Critical damping      111 164 166Ч167 182Ч183 197
Cubic equation      11
cuboid      70
Current      58 62Ч63 103 106Ч107 109 113Ч118 120Ч124 160
Cyclic order      53 59
Cylinder      15 39
Cylindrical polars      296Ч298
D operator      173Ч181 186 193Ч195 319
Damped oscillations      109Ч110 124 126Ч128 139 158Ч159 163Ч166 167 197
Damping      159 182Ч183
Damping, small      182 197
De Moivre's theorem      93 95Ч98 318
Decay products      15 294
Degree of differential equation      144 319
Degree of freedom      26 28Ч29 31 64
Density of states      290 292
Determinant      2Ч8 10Ч13 37 53Ч54 59 225Ч228 316Ч317
Differential equation      76 126Ч127 134 135Ч199 319
Differentiation of vectors      76Ч78
Diffraction      72 82
Direction cosine ratios      25 28Ч30 34 41 44 254 294
Direction cosines      24Ч25 28 32 48
Discontinuity      240Ч242
Division of complex numbers      90Ч92
Duke of York      232
Dynamics      137Ч140
Earth      14 41Ч42 45 57Ч58 63 77Ч80 141 211 298
Eigenvalue      11 13 266 284
Eigenvector      266
Einstein      1
Electric charge      48Ч49 57Ч58 100Ч101 105Ч106 109Ч110 114 119Ч120 123Ч124 128 133 157 160
Electric circuit      100Ч101 103 105Ч125 128Ч129 132Ч133 142 157 160 164
electric field      48Ч49 139
Electromagnetic radiation      44 115 126
Electromagnetism      58 315
Electron      82 126 130 132 142 292Ч295 315
Elementary particle      15 115 132
ellipse      12 19Ч22 41 139Ч141 195 261 265Ч266 272 282Ч285
Ellipsoid      11 13 38Ч39 42 297
Energy conservation      114 278 289 292 295
Energy level      129
Energy loss      114 120 159 164
Energy of gas molecules      289Ч292
Energy spectrum      127Ч129
England      299
entropy      278
Equal roots      166Ч167 181 191
Equator      79
Even function      268 313Ч315
Exact differential equation      150Ч153 154Ч156 191 193
Excited state      126Ч127 129Ч130 293 315
Fence      276 279Ч281
Fermi distribution      295
First order differential equation      145Ч157 189 191
Footpath      210 213
force      44 48Ч49 56Ч58 62Ч63 139 157Ч160 183 195 197
Forced oscillations      123Ч124 126Ч128 130 132 182Ч183
Fourier series      112
Fourier transform      125 127Ч128
Free electron gas      295
Free oscillations      109 123Ч125 127Ч128 130 132 158Ч160 166 182Ч183 189 197
Frictional force      157 164
Gas      208 288Ч289 292 294
Geometric series      97Ч98 308
Geometry      14Ч42 135
Gradient in x-y plane      207 212
Gradient of axes of ellipse      284
Gradient of contour line      219 265Ч268 272Ч273 313
Gradient of curve      190 233 235 243 300 302
Gradient of hill      205 207 255
Gradient of line      16Ч17
Graphical technique      189Ч190 319
Gravity      45 49 79 136Ч140 195
Ground state      126 129
Head of coin      287Ч288
Helix      15
High energy physics      294
Hill      205Ч207 210 218Ч219 247 255 259 282Ч283
Homogeneous      144 147Ч150 158 191Ч192 319
Honey      111 163
Hooke's law      100 138 157
Horse      255
Hurricane      79
Hydrogen      130Ч131
Hyperbola      39 261
Impedence      111Ч112 118 120 122
Inconsistent equations      6 8Ч10 29 37
Indium      130
Induction, proof by      307Ч309
inductor      100 105Ч106 108Ч116 118Ч123 133 142 157 164
Inflection, point of      245 256
Initial conditions      109 158 160 166 196
Integrating factor      154Ч157 191
intercept      16
Interference of light      82
Intrinsic spin      294
Jacobian      222Ч230 319Ч320
Jerusalem      41
Jupiter      14 141
Kinetic theory      291
l'Hopital's rule      310Ч311
Lagrange multiplier      279Ч295 320
Land's End      299
Laplace's equation      230
Largest value      245 247 276Ч277
Lattitude      50
Lee      315
Leibnitz's theorem      194 308Ч309
Lifetime      127 129 132
Light waves      82
LIMIT      310Ч313
Limit of integration      225
Line      see "Straight line"
linear combination      6 8 12 144 161 167 187Ч189 192
Linear differential equation      113 144 157Ч158 161 192 198 319
Linear equations      1Ч13 22 27 35Ч36 73
Linear function      206Ч207
London      253 299
longitude      50
Lorentz line shape      127 129
Maclaurin series      236Ч240 242Ч243 273 309
Magnetic field      49 57Ч58 62Ч63
Magnetic flux      142
Matrices      52
Maximum amplitude      115Ч118 120 122 133 197
Maximum impedence      118
Maximum in one variable      224Ч225 277
Maximum in two variables      232 254Ч273 278 282 320
Maximum, constrained      274Ч278 282Ч285 287 289 292Ч293 295
Maxwell Ч Boltzmann distribution      292
Maxwell's equations      44
Mean value theorem      242Ч244 320
Mechanics      115
Merry-go-round      79
Metal      295
Milky Way      45
Minimum current      118
Minimum denominator      115Ч116
Minimum in one variable      244Ч246 277
Minimum in two variables      35 65 232 254Ч273 320
Minimum, constrained      276 278 281Ч286 293Ч295
Mirror      296 315
Modulated sine wave      127
Modulus of complex number      87Ч91 95 102 106 133 318
Molecules      288Ч289 291Ч292 294
Momentum      57
Mont Blanc      274Ч275
Mountain range      255Ч256 262
Multiplication of complex numbers      86Ч91
Mutual inductance      142
n-dimensions      195 293
Natural frequency      101 126 159 182Ч183
Neutrino      142
Neutron      130 132
Newton's second law      79 138 143
Non-commutation      52 54 174
Non-coplanar      71Ч72
Non-orthogonal axes      69Ч73
Normal (vector product)      50Ч51 60
Normal modes      189
Normal to plane      8Ч10 12 27Ч28 30 41 55Ч56 63 293
Normal to surface      253
Nuclear beam      15 128
Nuclear particle      31
Nuclear physics      115
Nuclear reaction      128Ч130
Nucleus      132 136
Numerical method      190 192 306Ч307 313 319
Odd function      239 307 313Ч315
Orbit of planet      139Ч141 195
Order of differential equation      143 319
Orthogonal vector set      55 63 68 72 81
Oscilloscope      101 121 164
Overdamped      110Ч111 165
Oxford      253 299
Pages of book      31
parabola      39 137
Paradox      177 195 202Ч207 220 222 227Ч228 265
Parallel lines      4 33 35 44 66
Parallelepiped      61Ч62 70Ч71
Parallelogram      47 56Ч57 61Ч62 85
Parameter, free      22 26 30 64
Parametric form      16Ч17 19 28Ч30 34Ч35 41Ч42 64 81
Parity      24 313Ч315
Partial derivatives      34Ч35 151 200Ч231 248Ч272 278Ч281 283 286 288 290 297 319Ч320
Partial differential equations      143 216 230
Partial fractions      178 180
Particle accelerator      43
Particular integral      100Ч101 111 157Ч160 167Ч173 174Ч185 191 194 197 199 318Ч319
Pauli exclusion principle      294Ч295
Pendulum      79 189
Penny      287Ч288
Permeability      58
Permittivity      48
Phase      102 105Ч109 113Ч114 121Ч123 134 319
Phasor diagram      107Ч108
Photon      315
Planck's constant      125Ч128 294
Plane      5Ч12 15 26Ч29 30Ч32 39Ч42 51 55 60Ч64 72 81 139 195 267 293 297 316Ч318
Planet      139Ч141 195 315
Polar coordinates      88 139 195 214 222Ч228 230 290 296Ч297 305
Polynomial equation      84 95Ч97 133
Power      112Ч114 118 120
Power series      86 97 176Ч177 190 195 198Ч199 234Ч240 310Ч311
PREDATOR      142
Pressure      293
Prey      142
Proton      130Ч132
Pythagoras' theorem      17Ч18 24 35 37
Quadratic equation      83 119 125 188 257 266 284
Quadratic function      258Ч265 267 273
Quality factor Q      117 119Ч121 122Ч126 133 318
Quantised states      126 132
quantum mechanics      82 125 134 291 295 315
Quarks      132
Radio      116
Radioactivity      136 141Ч142
Railway line      210Ч211 282Ч283 286
Rate of exchange      87
Reciprocal vector set      62 72 80Ч81 318
rectangle      281
Recurrence relation      198 306 309
Reflection      268 314
Reflection of a complex number      90
Relative velocity      49
Relativity      46 130Ч132
Resistive force      100 126 138 165Ч166
resistor      100Ч101 105Ч106 108Ч121 123Ч124 133 142 157 164
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