The Handy Math Answer Book

Hurricanes, 310–11 (table)

Hutchings, Michael, 367

Huygens, Christiaan,

252–53, 253 (ill.)

Hydrogen, 285–86

Hydrostatic principle, 19

Hypatia of Alexandria, 18

Hyperbolic functions, 204–5

Hyperbolic geometry, 205,

206

Hypotenuse, 182

I

IBM, 354, 359

Identities (algebraic), 135

Identities (trigonometric),

203, 204

Identity equations, 141–42

Identity matrix, 159–60

Identity transformation, 191

“If and only if” (iff), 221

Image processing, 245, 245

(ill.)

Imaginary calculus, 213

Imaginary numbers, 75,

76–78, 78 (ill.), 340

Imperial gallon, 49

Implicit differential equa-

tions, 232

Improper fractions, 98–99

Improper integral, 231

Inch, 44

Inches of mercury, 307

Incompleteness: The Proof

and Paradox of Kurt Gödel

(Goldstein), 453

Indefinite integral, 230

Independent axiomatic sys-

tem, 116

Independent events, 250

Independent sampling, 257

Independent variables, 135,

136, 259

Indeterminate number, 91

Indirect proofs, 118, 178

Induction, 118–19

Inductor, 340

Industrial engineering,

342–44

Inequality, 134

Infant mortality rate, 381

Inferential statistics, 258

Infinite series, 215

Infinitesimal calculus,

220–21

Infinity, 80, 129, 129 (ill.),

218 (ill.), 218–19

Infinity(movie), 457

Information theory, 270–71

Initial conditions, 233–34

Initial term, 216

Initial value problems, 234

Institute and Museum of the

History of Science, 449

Insurance tables, 247

Integers, 71, 72, 72 (table)

Integral calculus, 209, 213.

See alsoCalculus; Differen-

tial calculus; Differential

equations; Mathematical

analysis; Vectors

antiderivatives, 231

antidifferentiation, 231

common integrals, 228

definite integral, 229–30

definition of, 228

double/triple integrals,

231–32

Fundamental Theorem of

the Calculus, 231

improper integral, 231

indefinite integral, 230

integration, 229, 229 (ill.)

Integrated-circuit machines,

363

Integration, 229, 229 (ill.)

Interactive Mathematics

Miscellany and Puzzles

(Web site), 461

Intercept, 195

Interest, 388–89

Interest rate, 412, 413

Interior angles, 174

International Bureau of

Weights and Measures, 50,

54, 58–59

International Business

Machines (IBM), 354, 359

International System of

Units (SI), 50

International units, 53

Interpolation, 324

Intersection, 125

Intuitionism, 107, 107 (ill.)

Inverses, 94, 141, 222–23

Ion, 284

Ionians, 16

“Iron Ulna,” 46

Irrational numbers, 74–75

Irregular cone, 480

Irregular polygons, 179

Islamic patterns, 375–76,

376 (ill.)

Isometry, 191

Isosceles trapezoid, 183

Isosceles triangle, 182 (ill.),

182–83

Iteration, 143

J

Jacquard, Joseph-Marie,

353–54

Jainism, 384–85

James, Bill, 434

Japanese numerals, 418 (ill.)

Jiuzhang suanshu, 21

John I (pope/saint), 61

Jones, William, 40

Journal of Online Mathe-

matics and Its Applications

(online magazine), 458–59

Julian calendar, 62, 63

Julius Caesar, 62

Jurassic Park(movie), 457

K

Kappa Mu Epsilon, 446

Kasner, Edward, 73

Kassites, 10

Kelvin scale, 55

Kepler: A Novel(Banville),

455

Kepler, Johannes, 210,

288–89, 383

Kepler’s Laws of Planetary

Motion, 288–89

Khuwarizmi, Muhammad

ibn Musa al-, 21, 22,

112–13, 131

494 Kindi, al-, 21

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