Egyptian Multiplication and Chinese Division

These are two simple algorithms which have been derived using the Dijkstra-Gries methodology in the book. The easiest way to understand the reasoning behind them is by the use of appropriate calculation methods on paper. Such methods are presented here.

Text and Context of Computer Science

This blog is the record of an exploration. What is the academic content of computer science? Is computer science a mushroom that burst upon the landscape of science in the 20th century or does it have roots in classical mathematics and physics? What is the nature of the activity of computing?

Groping towards some answers. The slide presentation Nature of Computing tries to locate
the context of computer science firmly in the area of classical mathematical problems. At
the same time it tries to say that computing may be understood as the game of constructing
required structures from specified pieces using specified methods, much like LEGO.

The slide presentation Dynamical Systems tries to show that the concepts of attractors,
chaos, fractals, artificial life, and models for evolution, memory, and dreams all arise
from the study of special cases of the program "repeat x := F(x)".

The 10 Step Design Process

There was a one day national workshop on the "Latest Applicable Trends in Mathematical Sciences" on August 7, 2009 at the Al-Ameer College of Engineering & IT at Visakhapatnam. Gave a lecture there with the title "A Mathematical Approach to Computing and Programming". It was attended by about 70 college lecturers of mathematics. I spoke about the motivation behind the Tata Consultancy Services Initiative, the work we have done so far, and the work still to be done. The technical part of the talk was the 10 Point Design Process.

The workshop was extremely well organized by Sri P. Veeraiah, head of the Department of Basic Sciences and Humanities.