1549312215-Complex_Analysis_for_Mathematics_and_Engineering_5th_edition__Mathews

624 ANSWERS x(t) =- c t+ 2te-t, and y(t) = te- t. 2 5. x(t) = -2 + 6e-t cos2t + 6e-t sin 2t, and y(t) = - 1 + 3e- t coo2t. Sec ...

Index A(a, r, R), 268 Absolute convergence, 128, 130, 145 Absolute value, 17 Accumulation point 1 42 Addition of complex numbers ...

626 INDEX Cauchy's residue theorem, 293 Cauchy's root test, 148 Causal sequence, 373 Cayley, Arthur, 132 Chain rule, 96, 396 Cha ...

d' Alembert's ratio test, 143, 148 Damped system, 531 De Moi vre's Formula., 32 De Morgan, Augustus, 5 Definite integral, 231 De ...

628 INDEX FIR filter, 345, 346 Fixed point attracti ng, 138 bilinear t ransformation, 410 F low circulation, 481 Fluid flow, 117 ...

Infinity, 86, 288 , 402, 407 lnitial conditions difference equation, 361 Initial conditions z..tra.nsform, 344 Initial point, 19 ...

630 INDEX Magnet ism , 446 Magnification, 57, 400 Mand elbrot-Benoit, 136 Mand elbrot set, 132, 136 Maple™, 303, 318 Mapping, 49 ...

count the number of , 328 order k, 277, 280, 288, 294 residue, 294 simple, 278 , 294 Polynomial factorization, 246 Legendre, 240 ...

632 INDEX infinite, 128 Laurent, 267, 291 Maclaurin, 256 power, 148 product, 262 quotient , 286 ratio test, 143, 148 representat ...

Uniqueness t heorem analytic function , 261 Unit sample response, 380 v(x,y), 50, 102, 193, 446 Veblen-Oswald, 45 Vector field i ...

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