I've recently published the following research monograph in the form of an e-book:

J.L. Nazareth (2010), Algorithmic Science and Engineering within Scientific Computing: Foundations and Organization, 128 pgs.,
http://www.math.wsu.edu/faculty/nazareth/asebook.pdf

which is available free of charge from the above web address.

An abbreviated table of contents is as follows:

Preface............................................... v
Introduction..........................................xi
Part I: Foundational Models and Paradigms
Chapter 1: Symbol-Based Computing......................1
Chapter 2: Magnitude-Based Computing..................21
Chapter 3: Complex Behavior of Simple Programs........41
Chapter 4: Essentialism versus Population-Thinking....51
Part II: Context and Organization
Chapter 5: A Visual Icon for Sci-En-Math..............69
Chapter 6: The Emerging AS&E Discipline...............75
Chapter 7: Illustrations of AS&E......................87
Bibliography.........................................105


Comments/corrections/feedback on this material sent by e-mail to nazareth@amath.washington.edu or larry_nazareth@q.com would be most welcome. Also please feel free to distribute the above URL (web address for the e-book) to colleagues or students who may be interested in this topic.