Advanced Engineering Mathematics, 10th Edition

INDEX

Abel, Niels Henrik, 79n.6

Abel's formula, 79

Absolute convergence (series):

defined, 674

and uniform convergence, 704

Absolute frequency (probability):

of an event, 1019

cumulative, 1012

of a value, 1012

Absolutely integrable nonperiodic function, 512–513

Absolute value (complex numbers), 613

Acceleration, 386–389

Acceleration of gravity, 8

Acceleration vector, 386

Acceptable lots, 1094

Acceptable quality level (AQL), 1094

Acceptance:

of a hypothesis, 1078

of products, 1092

Acceptance number, 1092

Acceptance sampling, 1092–1096, 1113

errors in, 1093–1094

rectification, 1094–1095

Adams, John Couch, 912n.2

Adams–Bashforth methods, 911–914, 947

Adams–Moulton methods, 913–914, 947

Adaptive integration, 835–836, 843

Addition:

for arbitrary events, 1021–1022

of complex numbers, 609, 610

of matrices and vectors, 126, 259–261

of means, 1057–1058

for mutually exclusive events, 1021

of power series, 687

termwise, 173, 687

of variances, 1058–1059

vector, 309, 357–359

ADI (alternating direction implicit) method, 928–930

Adjacency matrix:

of a digraph, 973

of a graph, 972–973

Adjacent vertices, 971, 977

Airy, Sir George Bidell, 556n.2, 918n.4

Airy equation, 556

RK method, 917–919

RKN method, 919–920

Airy function:

RK method, 917–919

RKN method, 919–920

Algebraic equations, 798

Algebraic multiplicity, 326, 878

Algorithms:

complexity of, 978–979

defined, 796

numeric analysis, 796

numeric methods as, 788

numeric stability of, 796, 842

ALGORITHMS:

BISECT, A46

DIJKSTRA, 982

EULER, 903

FORD–FULKERSON, ...