ABSTRACT

This non-traditional introduction to the mathematics of scientific computation describes the principles behind the major methods, from statistics, applied mathematics, scientific visualization, and elsewhere, in a way that is accessible to a large part of the scientific community. Introductory material includes computational basics, a review of coo

chapter 1|4 pages

Introduction

chapter 2|8 pages

Computational Basics

chapter 3|14 pages

Coordinate Systems

chapter 4|14 pages

Background: Numerical Linear Algebra

chapter 5|16 pages

Solving Linear Systems

chapter 6|20 pages

Eigen-Problems

chapter 7|14 pages

Background: Numerical Calculus

chapter 8|18 pages

Data Fitting

chapter 9|14 pages

Computing Dynamic Processes

chapter 10|8 pages

Finding Roots

chapter 11|18 pages

Computing with Multivariate Functions

chapter 12|16 pages

Visualizing Empirical Data

chapter 13|24 pages

Facets

chapter 14|20 pages

Visualizing Scalar Values over 2D Data

chapter 15|24 pages

Volume Visualization

chapter 16|36 pages

Background: Computer Graphics