Existence theorems, 117
Explicit differential equa-
tions, 232
Exponential equation, 149
Exponential function, 147,
148 (ill.), 197 (ill.)
Exponential growth, 457
Exponentiation, 144
Exponents, 86–87, 143–44
Expression, 133
Extensionality, 123
Exterior angles, 174
Extrapolation, 324
Extrasolar planets, 293–94
F
Factorial, 143
Factorial/primorial primes,
84
Factoring, 97, 155–56
Factors, 93, 97
Fahrenheit, Daniel Gabriel,
54–55
Fahrenheit scale, 54–55
Fallacy, 120
Fatigue analysis, 326
Federal Bureau of Investiga-
tion (FBI), 394
Feet, 44
Fermat, Pierre de, 26–27, 85,
193, 210, 253
Fermat’s Enigma: The Epic
Quest to Solve the World’s
Greatest Mathematical
Problem(Singh), 454
Fermat’s Last Theorem,
26–27, 84, 117, 454
Fernandes, Luis, 462
Ferrari, Luigi, 25
Feynman, Richard, 117, 457
Fibonacci, 23, 70
Fibonacci sequence, 23, 84,
86, 86 (table)
Field, 160
Field goal percentage (bas-
ketball), 436
Fields Institute for Research
in Mathematical Sciences,
444–45
Fields Medal of the Interna-
tional Mathematical Con-
gress, 36
15 Puzzle, 424, 425 (ill.)
Finance charge, 413
Financial indicators, 390–91
Fine arts
art, 373–74
Escher, M. C., 376–77
geometry, 375–76, 376
(ill.)
humanities, 373
Islamic patterns, 375–76,
376 (ill.)
mathematical sculptures,
377–78
Mozart Effect, 378, 379
(ill.)
music, 378–80
music of the spheres,
379–80
perspective, 373, 374,
375, 375 (ill.)
Vedic square, 376, 377
(ill.)
Finite element analysis, 325,
326
Finite field, 160
Finite series, 215
Finite sets, 126
Fiore, Antonio Maria, 24, 25
First-order differential equa-
tions, 232–33, 234
First-order homogeneous
differential equations, 234
Fisher, Sir Ronald Aylmer,
316
Fisher’s Fundamental Theo-
rem of Natural Selection,
316
FitzGerald, Edward, 22
Five-card poker, 431–32
Flight mechanics, 344–45,
345 (ill.)
Floating-point arithmetic,
68
Fluff factor, 404
Fluid mechanics, 283,
328–30, 329 (ill.)
Foot, 44–46
Football, 435–36
Formalism, 114
Formula, 110, 134–35
Formulas for calculating
areas and volumes of
shapes, 479–81
Four color theorem, 367
Four Colors Suffice: How the
Map Problem Was Solved
(Wilson), 454
Four or more dimensions,
169–70
Fourier, Jean Baptiste, 324
Fourier series, 324–25
Fox, 4 (ill.)
Fractal geometry, 35–36, 373
Fractional mixes, 100
Fractional numbers, 74–75
Fractions
adding and subtracting,
99
and decimals, 99
Egyptians, 13
equivalent, 100–1
improper, 98–99
multiplying and dividing,
99–100
proper, 98–99
reciprocal, 101
reducing, 100
unit, 101
zero, 99
Fraenkel, Adolf Abraham
Halevi, 127
Francesca, Piero della,
374–75
Free throw percentage, 436
Frege, Friedrich Ludwig
Gottlob, 111
French Revolution, 53
Frequency table, 263–64
Freyle, Brother Juan Diez,
68
Fuh-Hi, 438
Fujita-Pearson Tornado
Intensity Scale, 311–13
(table), 313 (ill.)
Fujita, Tetsuya Theodore,
311
Function(magazine), 450
Functional analysis, 241
Functions, 128–29, 138, 139 491
INDEX
Handy Math BM 8/19/07 5:18 PM Page 491