A bibliography of Rivlin's publications is included. The underlying concepts behind version 3.0 of the Mathematica technical computing system are described. This edition explains PC, Macintosh, and Unix versions of Mathematica. It discusses the algorithms and engineering of the software, the MathLink standard for connecting to external programs, the major codification of mathematical symbols and notation, and World Wide Web-publishable interactive documents, and includes a color section of Mathematica graphics. The first part develops a mastery of linear systems with an emphasis on perturbation or approximation techniques.
Special attention is given to asymptotic methods.
The second half of the book discusses nonlinear problems, including weakly nonlinear oscillatory systems and nonlinear difference equations. The text helps students develop tools of analysis to treat problems that do not admit a simple solution in a closed form but have their origin in familiar, solvable problems. At the ends of each chapter are many problems that have not been arranged by text section. More than 400 problems have been added to this edition. A solutions manual accompanies the text.