The Life of Pi: From Archimedes to Eniac and Beyond
by Jonathan M. Borwein
Publisher: DocServer 2010
Number of pages: 30
The desire to understand Pi, the challenge, and originally the need, to calculate ever more accurate values of Pi, the ratio of the circumference of a circle to its diameter, has challenged mathematicians -- great and less great -- for many many centuries and, especially recently, Pi has provided compelling examples of computational mathematics. Pi, uniquely in mathematics is pervasive in popular culture and the popular imagination.
Download or read it online for free here:
The purpose of this book is to show how the computer can draw technically perfect pictures of Julia and Mandelbrot sets. All the necessary theory is explained and some words are said about how to put the things into a computer program.
by Edward A. Bender, S. Gill Williamson - Dover Publications
This text assists undergraduates in mastering the mathematical language to address problems in the field's many applications. It consists of 4 units: counting and listing, functions, decision trees and recursion, and basic concepts of graph theory.
by Philip J. Koopman, Jr. - Academic Press
The results of cache-simulation experiments with an abstract machine for reducing combinator graphs are presented. The abstract machine, called TIGRE, exhibits reduction rates that compare favorably with previously reported techniques.
by Justin Solomon - CRC Press
Using examples from a broad base of computational tasks, including data processing and computational photography, the book introduces numerical modeling and algorithmic design from a practical standpoint and provides insight into theoretical tools.