by Colin Pask
Thomson, Sir William (Lord Kelvin), and P. G. Tait. Principles of Mechanics and Dynamics (formerly titled Treatise on Natural Philosophy). New York: Dover, 1962. (A republication of the last revised edition of 1912. See the appendix.)
Williams, M. R. A History of Computing Technology. Englewood Cliffs, NJ: Prentice Hall, 1985.
Adams, John Couch, 132–35
Airy, George Biddell, 132–33, 229–30, 232, 328, 330
Aldis, William, 330
Archimedes, 34–39, 54, 56, 364
Aristotle, 71, 87, 101, 185, 214, 217
Atkinson, Robert, 300
Babylonians, 26–32
Balmer, Johann Jakob, 260–62, 361
Bernoulli, Daniel, 252, 317–19, 326
Bessel, Friedrich Wilhelm, 323–24, 328
Bethe, Hans, 301–303
Bohr, Niels, 262–64, 284, 313
Born, Max, 257, 268
Brahe, Tycho, 112
Briggs, Henry, 52–53
Brown, James, 211
Carter, Brandon, 165–66
Chadwick, James, 269–71, 281–82
Clairaut, Alexis-Claude, 127–28, 130
Cockcroft, John, 297
Compton, Arthur Holly, 243
Copernicus, Nicholas, 108–10, 137, 165, 181
Cormack, Allan, 201–203
D'Alembert, Jean Baptiste le Rond, 127, 317–18
Dalton, John, 252, 257–58
Darwin, Charles, 16, 21, 72, 191, 194, 195, 203
de Broglie, Louis, 264–66
Descartes, René, 214, 217
Digges, Thomas, 150–51
Dirac, Paul Adrien Maurice, 274–80, 291, 323
Doodson, Arthur, 91, 96–97
Eddington, Sir Arthur, 246, 299–300, 368
Einstein, Albert, 15–16, 18, 146–47, 158, 160, 177, 237–41, 245–49, 253–57, 288, 311, 368
Eratosthenes, 68–70
Euclid, 34–35, 100–101, 111
Euler, Leonard, 56–59, 67, 317–18, 327, 357
Faraday, Michael, 233–34
Fermi, Enrico, 285–86, 291, 306, 334–40
Ferrel, William, 95
Feynman, Richard, 236, 252, 276–80
Fibonacci, 44–48, 54, 55
Flamsteed, John, 129, 136, 138
Ford, Kent, 168
Fourier, Joseph, 73, 321, 327
Fowler, William, 163–64
Fresnel, Augustin-Jean, 227
Frisch, Otto, 304–307, 311
Galen, 182–83
Galilei, Galileo, 16, 86–91, 149, 185, 206–207, 214, 315, 356, 358
Gamow, George, 168, 300
Gardner, Martin, 166
Gauss, Carl Friedrich, 59–63, 147
Gell-Mann, Murray, 292
Goldbach, Christian, 64
Graunt, John, 186–87
Hadamard, Jacques, 63
Hahn, Otto, 304, 312–13, 362
Halley, Edmond, 125–27, 137–40, 150, 152, 187–91, 359
Hardy, G. H., 195–96, 361
Harrison, Edward R., 150, 153–54, 166
Harvey, William, 181–85, 366
Heisenberg, Werner, 311–13
Herschel, William, 128–29
Hertz, Heinrich, 237, 239
Hill, George W., 147
Houbolt, John C., 174–75
Hounsfield, Geoffrey, 202–203
Houtermans, Fritz, 300–301, 369
Hoyle, Fred, 162–67, 286, 368
Hubble, Edwin, 155–57
Huxley, T. H., 61, 75
Huygens, Christiaan, 120, 123, 224–26, 315
Jeffreys, Sir Harold, 82
Johnson, Samuel, 213, 249
Kant, Immanuel, 15–16
Keats, John, 223
Kelvin, Lord, 73–77, 85, 91–94, 153, 299–300, 321–22, 329, 331, 357–59, 360
Kepler, Johannes, 53, 110–15, 117, 119, 123, 128, 137, 150–51, 214, 329, 355, 365
Kirchhoff, Gustav, 258–59
Kleiber, Max, 208–10, 212
Lagrange, Joseph-Louis, 318, 357
Lalande, Joseph-Jérôme Lefrançois de, 127
Laplace, Pierre-Simon, 58, 91, 176, 244, 350, 357
Lehmann, Inge, 82–83, 361
Lenard, Philipp, 239, 247–48
Leverrier, Urbain-Jean-Joseph, 131–35, 145
Lorentz, Edward, 349
Lucretius, 149–50, 158–59, 251–52, 272, 295
Mach, Ernst, 253
Malthus, Parson Robert, 18–21, 54–55, 343
May, Robert, 345–51
Maxwell, James Clerk, 232–36, 252, 355, 367
Meitner, Lise, 304–305, 361–62
Mendel, Gregor, 191–92, 194
Michell, Reverend John, 176–77, 243–44
Millikan, Robert, 241, 368
Mohorovičić, Andrija, 83–84, 360
Napier, John, 49–52
Ne'eman, Y., 292
Newton, Isaac, 16, 74, 90–91, 117–24, 130, 142–44, 157–59, 170, 172–73, 177, 185, 217–19, 222, 224, 243, 252, 287, 295, 315, 355–57
Olbers, Heinrich, 153
Oldham, Richard, 80–81
Oort, Jan, 167, 171
Oppenheimer, Robert, 178, 307
Oresme, Nicole, 57, 87, 108
Osiander, Andreas, 109–10
Oughtred, William, 54
Pasta, John, 334–40, 342
Pauli, Wolfgang, 285–87
Peierls, Rudolf, 306
Perlmutter, Saul, 160
Perrin, Jean, 253, 257
Perry, John, 75–76, 85, 97
Planck, Max, 238, 361
Poe, Edgar Allan, 153
Prange, H. D., 206
Ptolemy, Claudius, 100–108, 329
Radon, Johann, 200
Rayleigh, Lord, 78, 230–31, 237, 330
Reiss, Adam, 160
Roemer, Ole, 214–17
Rossi, Bruno, 290
Rubin, Vera, 167–72, 361
Rutherford, Sir Arthur, 76–77, 262, 269, 281, 298
Schmidt, Brian, 160
Schrödinger, Erwin, 266–67, 275
Schwarzchild, Karl, 177–78
Schwinger, Julian, 277
Serber, Robert, 307–10
Soddy, Frederick, 298
Soldner, Johann Georg von, 244–46, 248
Strassmann, Fritz, 304
Taylor, Brook, 316
Tsingou, Mary, 342–43
Ulam, Stanislaw, 334–40
Updike, John, 286
Ussher, Bishop James, 72
Vallée-Poussin, C. J. de la, 63
Walton, Ernest, 297
Watson, G. N., 325
Weinberg, Wilhelm, 195
Weisskopf, Victor, 262, 276
Weizsäcker, Carl von, 303, 312
West, Geoffrey, 211–12
Wheeler, John Archibald, 158, 179
Wordsworth, William, 217, 223
Young, Thomas, 226–27
Zwicky, Fritz, 167, 171
Airy disc, 228–31
Almagest, 100–108
analogue computer, 93–95, 226, 358
annuity, 188–91
anthropic principle, 165–67
astronomical unit, 136–41
atoms
Bohr's theory for, 263–64
chemical, 257–58
existence of, 253–57
hydrogen, 260–67
spectrum, 258–62
structure of, 262–68
Avogadro's number, 256–57
Basel problem, 57–59
Benford's law, 65
Bessel functions, 229, 323–31
beta (β) decay, 281–87
big bang, 159, 314
black hole, 176–79
blood flow, 181–85, 366
Brownian motion, 254–57
calculations
analysis of, 20–21, 70–71, 75–76, 90–91, 355–56
assessing, 363–64
list of, 353–54
list of great, 364–68
styles of, 98, 127, 316–19, 335, 356–59
carbon, 163–65
chaos, 348–51, 368
period doubling and route to, 347–48
chords of circles, 101–104
comets, 123–28
Compton scattering, 241–43
computer simulations, 335–43, 345–48, 356
cosmological principle, 154, 165
CT scan, 201–203
dark energy, 159–60, 313–14
dark matter, 167–72, 313–14
dark sky, 150–54
dark star, 177
D-Day landing, 95–96
Earth
age of, 71–77
radius of, 67–70
spinning of, 85–91
structure of, 77–85, 365
eightfold way, 292
electromagnetic waves, 234–37, 367
electron magnetic moment, 276–80
energy
conservation, 283–85
equipartition of, 334, 339
in nuclear reactions, 281–85, 297–98, 301–303, 307–308
escape velocity, 172–73
evolution, 21, 71–74, 191, 194–95
Feynman diagrams, 277–79
Fourier series, 74, 92–93, 316–21
FPU problem, 336–43
Friedman equations, 158–59
genetics, 191–96
Goldbach conjecture, 64
gravitational lensing, 247
Hardy-Weinberg law, 193–95
Halley's Comet, 126–28, 365
heart, 183–84
heat conduction, 73–75, 321
Hubble's law, 155–57
Huygens's principle, 225, 227
hydrogen
in early universe, 161–62
spectrum, 260–62, 263, 266–67
in stars, 301–303
image resolution, 230–32
inverse problems, 85, 130–31, 199–200, 357
iteration methods, 33, 37–38
Kepler's laws, 114–15, 117, 171, 365
kinetic theory of gases, 252–53
Kleiber's law, 209–12
origin of, 211
Liber Abbaci, 44–49, 55
light
Airy disc for, 228–31
bending, 243–48
colors, 217–19, 222
diffraction, 227–30
electromagnetic theory for, 232–37, 367
gravity and, 243–45
photons, 237–43
rays, 219, 224
speed of, 214–17, 235–36, 288
waves, 224–37
linearity, 331–34
logarithms, 49–54, 57, 115, 365
impact of, 53–54
logistic equation, 345–48
Los Alamos Primer, 307–11
Mars, 112–14, 365
metabolic rate, 208–12
Moho, 83–84
moon landing, 174–75
Moon Test, 118–21
muon decay, 290–91
Neptune, 130–35
neutrino, 284–86, 301–304
neutron, 269–71, 282–84
nuclear
fission, 297, 304–13
forces, 161, 296, 300
fusion, 162–64, 297, 300–303
weapons, 306–13
nucleus, 295–98
numerical analysis, 33, 127, 335–36
Olbers's paradox, 153
parity nonconservation, 286–87
Pascal's triangle, 64
photoelectric effect, 239–41
pi, 36–40, 58, 364
planetary masses, 121–23
Plimpton 322, 28–33
poems, 53, 149–50, 217, 223, 251, 272, 286
population growth
Malthusian, 18–20, 343–44
nonlinear, 344–48
rabbit, 47–48
prime number, 59–64
theorem, 62–63
projectile motion, 85–91
maximum range, 90
parabolic path, 89–90
Pythagorean triples, 29–32
quantum
field theory, 274–80, 286
mechanics, 262–68
wave function, 266
quark, 293–95
Radon transform, 200
rainbow, 217–23
recreational mathematics, 47–48
relativity
general, 146, 157–59, 245
special, 282–83, 287–90
rotating orbits, 142–47, 366
scaling, 204–12
Schrödinger's equation, 266, 367
seismic waves, 78–84, 365
series
arithmetic, 38
geometric, 39
infinite, 56–59, 63
skeleton mass, 206–208
solar system, 99–147
size of, 136–41
soliton, 341–42
spacecraft orbits, 173–76
sunshine, 298–303
tables, 358
arithmetical, 27–29, 60–62
astronomical, 102–108, 112–15, 129
ballistic, 90
Bessel functions, 330–31
chords of circles, 102–104
logarithms, 52–54, 365
population, 185–88
quarter squares, 329–30
tides, 91–97
time dilation, 289–90
tomography, 196–203
transit of Venus, 137–41
universe
age of, 158
expanding, 156–60
nature of, 149–54
size of, 149–54
Uranus, 128–35
vibrating
drum, 327
hanging chain, 326
particles and springs, 336–40
string, 316–21
Voyager spacecraft, 175–76
Vulcan, 145
weak interactions, 286–87
women in science, 82–83, 127, 167–69, 305, 342–43, 361–63
x-rays, 197