Provides the reader with working knowledge of Mathematica and key aspects of Mathematica's numerical capabilities needed to deal with virtually any "real life" problem Clear organization, complete topic coverage, and an accessible writing style for both novices and experts Website for book with additional materials: http://www.MathematicaGuideBooks.org Accompanying DVD containing all materials as an electronic book with complete, executable Mathematica 5.1 compatible code and programs, rendered color graphics, and animations
Author(s): Michael Trott
Edition: 1
Year: 2005
Language: English
Pages: 1244
Contents......Page 15
0. Introduction and Orientation......Page 17
1.0 Remarks......Page 37
1.1.1 Numbers with an Arbitrary Number of Digits......Page 51
1.1.2 Interval Arithmetic......Page 90
1.1.3 Converting Approximate Numbers to Exact Numbers......Page 102
1.1.4 When N Does Not Succeed......Page 130
1.1.5 Packed Arrays......Page 137
1.2 Fitting and Interpolating Functions......Page 160
1.3 Compiled Programs......Page 195
1.4 Linear Algebra......Page 239
1.5 Fourier Transforms......Page 261
1.6 Numerical Functions and Their Options......Page 300
1.7 Sums and Products......Page 308
1.8 Integration......Page 325
1.9 Solution of Equations......Page 352
1.10 Minimization......Page 383
1.11.1 Ordinary Differential Equations......Page 404
1.11.2 Partial Differential Equations......Page 487
1.12.1 Visualizing Electric and Magnetic Field Lines......Page 517
1.12.2 Riemann Surfaces of Algebraic Functions......Page 544
Exercises......Page 557
Solutions......Page 590
References......Page 951
2.0 Remarks......Page 1005
2.1 Divisors and Multiples......Page 1010
2.2 Number Theory Functions......Page 1045
2.3 Combinatorial Functions......Page 1066
2.4 Euler, Bernoulli, and Fibonacci Numbers......Page 1082
Exercises......Page 1096
Solutions......Page 1112
References......Page 1209
A......Page 1226
B......Page 1227
C......Page 1228
D......Page 1230
E......Page 1231
F......Page 1232
H......Page 1233
I......Page 1234
M......Page 1235
N......Page 1237
P......Page 1238
R......Page 1239
S......Page 1240
V......Page 1242
Z......Page 1243
