Natural exponential functions, 436

Natural logarithms, 453–454

Natural numbers, 3

Negative exponents, 20–21

Negative numbers, 7

• multiplication involving square roots of, 123

• on number line, 6

Newton, Isaac, 403, 684

• Law of Cooling of, 455–456

• Law of Universal Gravitation of, 403, 408–409

Nominal interest rate, 432

Nonlinear inequalities, 564

Nonlinear systems of equations. See Systems of nonlinear equations

Nonlinear systems of inequalities, 565–566

Nonnegative inequalities, 145

Nonnegative numbers, 7

Nonrigid transformations of functions, 269–272

Nonsquare linear systems of equations, 532–533

Nonterminating repeating decimals, 3

Nonzero rows, in matrices, 594

Notation

• factorial, 721–722

• function, 216–217

• interval, 9

• for polynomials, 31

• scientific, 25–26

• set, 9

• set-builder, 7

• summation (sigma), 722–723, 724

Nova Stereometria Doliorum Vinariorum (Kepler), 332

nth roots, 64–65

• principal, 64

• simplifying, 65

Null set, 7

Number(s)

• algebraic, 436

• Euler, 435

• sets of. See Sets of numbers

• transcendental, 436

Number i, 119

Number line, 6

• distance between two points on, 10–11

Number of Zeros Theorem, 378

Numbers, large, estimating, 467

Numerators, 13, 50

• rationalizing, 67–68

Nutrition, minimizing Calories and, 574–575