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Teaches beginning science and engineering students how to solve the computational problems they will encounter during their academic and professional careers. Requires no specific scientific training nor any prior knowledge of Mathematica or C. Written specifically for Mathematica Version 3. Each chapter presents a common problem, develops a mathematical model of the problem, devises a computational method for solving the model, creates an implementation, and assesses the solution. All code is included on diskette and other supporting material is available on the Web.
Computational Science
Population Density: Computational Properties of Numbers
Eratosthenes: Significant Digits and Interval Arithmetic
Stairway to Heaven: Accumulation of Roundoff Error
Kitty Hawk: Programmer-defined Functions
Baby Boom: Symbolic Computation
Ballistic Trajectories: Scientific Visualization
The Battle for Leyte Gulf: Symbolic Mathematics
Old MacDonald's Cow: Imperative Programming
Introduction to C
Robotic Weightlifting: Straight-Line Programs
Sliding Blocks: Conditionals and Functions
Rod Stacking: Designing with Functions
Newton's Beam: Repetition
Corrugated Sheets: Multiple-File Programs
Harmonic Oscillation: Structures and Abstract Datatypes
Heat Transfer in a Rod: Arrays
Visualizing Heat Transfer: Arrays as Parameters
Appendix A: Mathematica Capabilities
Appendix B: Mathematica Functions and Constants
Appendix C: C Library Functions