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



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

Àâòîð: Lyons L.

Àííîòàöèÿ:

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.


ßçûê: en

Ðóáðèêà: Ìàòåìàòèêà/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Ãîä èçäàíèÿ: 1995

Êîëè÷åñòâî ñòðàíèö: 341

Äîáàâëåíà â êàòàëîã: 09.02.2014

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
resonant frequency      116 120—122 128 134 182 318
Rhombus      55—56
Right hand      56 296 315
Right-handed axes      23—24 50 296
Right-handed screw      23 50 52
Rock climber      43
Rotated ellipse      20—22 284
Rotated system of axes      77—78 318
Rotation      15 19—22 67—69 297 299—300
Rotation in three dimensions      38 63 67—69 299—300
Rotation in two dimensions      19—22 40 317
Rotation non-vector nature      69
Rotation, effect on quadratic forms      261 264 273
Rugby ball      11
Rules for D operators      174—176 179—181 193 319
Rules for particular integrals      168—173
Saddle point      232 254—257 261—273 278 285 320
Satellite      14 79
scalar      43—45 48 58 62 76
Scalar field      45
Scalar multiplication      46 48 50
Scalar product      45 49—63 64 66 71—74 77 317
Second order differential equations      99—111 115 157—185 189 191—192
Selection rules      315
Semi-conductor      293
Separable differential equation      145—148 150 155 191
Series solution      190 198—199 319
Simultaneous differential equations      99 140—142 185—189 198
Simultaneous equations      1—13 22 34—36 73 186 226 258 279—281 316—317
Skew lines      32—37 40 62 64—65 276 286—287 317—318
Sound      115
Specific heat      208
Speed      236 288—290 292—294
Sphere      15 37 39—41 66 298 317
Spherical polars      296—298 314
Spiral staircase      251
Spring      100—101 111 125 133 137—138 157—158 166
Square      281
Square root of i      84 92—95
Square wave      164
Statics      136—137
Stationary value      32 133 244 254—256 258—260 262 267—274
Statistical mechanics      288—293
Steady state      101 133 160
Step size      192
Stirling's approximation      288—289
Straight line      3—4 6—11 15—17 22—28 29—37 41—42 64—65 80 267 293 300 313 316—318
String      136—137 143
Substructure      132
Subtraction of complex numbers      85—86
Sun      14 42 44—45 139—140 195
surface      297
Swing      125—126 128 163—164 182
Sydney      41
Symmetric limits      307 313
Symmetry      25 42 62 211 216 251 268—272 280 309
Tail of penny      287—288
Tangent plane      253—254
Taylor series      137 207 209 232—254 278 309 320
Telepherique      274—275
Telephone exchange      82
Telescope      14
Temperature      212 234 247 253 278 289 291—292
template      191
Tension      136—137 143
tetrahedron      41—42 80
Thermodynamics      208
Toblerone      7
torque      56—57
Tower of Pisa      79
Train      210—212 255—256 282—283
Transformation      214 217 221—230 290 297—300
Transformation, active      299
Transformation, passive      299
Transient      101 108 111 160 167
Translation      15 18—20 22 37 67 298—299 317
Trigonometric series      97—99 133
Triple scalar product      58—63 65—66 71—72 80—81 317
Triple vector product      58—63 68 80 318
Tsetse fly      43
Uncertainty principle      125 127 129—130 132 318
Undamped      182—183 189
Unit circle      89 93
Unit vector      44 48 52—53 61
Universe      315
Vector      16 40 43—81 91 107 286—287 290 299 317—318
Vector addition      46—49 52
Vector equation, solution of      45 54—55 73—75
Vector field      45 49
Vector geometry      63—69
Vector operator      45 76
Vector product      9 45 40—63 71—75 77 80 317
Vector subtraction      47 49
Velocity      49 57 78 80—81 100 103 138—139 160 197 210 290
Velocity space      290
Voltage      100 105—106 108—121 123 133 142 157 164
Volume      61—62
Wave function      315
Waves      82
Weather forecasting      232 234 253
Width of resonance      116—120 124 126 128—134 197—198
Work      56 208
Wu      315
X-ray crystallography      72
Yang      315
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