The Mathematica GuideBook for Numerics

• Main Author: Trott, Michael (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2006.
• Subjects: Mathematics.; Application software.; Computer mathematics.; Algorithms.; Computer software.; Mathematical Software.; Computer Applications.; Computational Mathematics and Numerical Analysis.

Mathematica is today's most advanced technical computing system, featuring a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. Combined with a user-frien...

Table of Contents:

• Introduction and Orientation
• I. Numerical Computations: Remarks
• Approximate Numbers
• Fitting and Interpolating Functions
• Compiled Programs
• Linear Algebra
• Fourier Transforms
• Numerical Functions and Their Options
• Sums and Products
• Integration
• Solution of Equations
• Minimization
• Solution of Differential Equations
• Two Applications
• Overview.-Exercises
• References
• II. Computation with Exact Numbers: Remarks
• Divisors and Multiples
• Number Theory Functions
• Combinatorial Functions
• Euler, Bernoulli, and Fibonacci Numbers
• Overview
• Exercises
• References
• Index.