Mathematics @ MindSay


 

   
Scilab again
Last weekend I had the opportunity to meet Dr. Sanjiv Kumar from India's (and perhaps Asia's) largest university -- Indira Gandhi National Open University (IGNOU). We discused the idea of settingup some organised activities to promote the usage of Scilab in India. there were lots of ideas and lots of suggestions and of course the feeling of having a lot of work to do.

Scilab is an amazingly rich software for doing mathematics. Comes from INRIA, Europe's most respected institute for research in computer science. Scilab (and FOSS) is the answer to the prayers of teachers and students of developing countries like India.

I wish IGNOU's initiative will be realised during my lifetime. I would be proud to have been a  part of that vision. If you are interested in joining in, just send me an email. Together, let us build a great India !
 
 
   
 

LaTeX for mathematics
Are you writing a mathematically-rich document, report, paper, book ? Need Help in type-setting the text ? Your favourite word-processor just cant do it ? Here is help. Use LaTeX.

To help you get started, we give you a document, typeset with LaTeX. All you have to do is hack the source of this document, and create your own, and then thank Dr. Partha, and then send him a box of chocolates.

Start by taking a look at :

http://info.algolog.googlepages.com/lat4maths.pdf

partha
 
 
 

   
Commemorating a historical blunder
Happy New Year -- commemorating a historical blunder

We have just started a New Year according to our common Gregorian calendar. The earth just completed going around the sun once. We have just seen 366 sunrises, since the last new Year's Day. There goes a story many of us have not heard of, or have forgotten. Early mathematicians who invented the science of "geometry" decided to divide a circle into 360 degrees. The word geometry itself is inspired from geo -- earth, metry-- measurements. They saw the earth going around the sun in some 360 days (according to their crude and primitive measurements).

Although, later this was proved wrong, we continue to stick to the 360 degrees rule of circles (each degree reminds us of one day in earth's annual excursion), a big blunder which the world has accepted since ages. So, every time we celebrate New Year, we must think of this historic blunder which we made several centuries ago.

Subsequent generations of mathematicians, corrected all this, giving rise to a bewildering variety of calendars. A good collection of calendar related information can be found at ::: http://www.hermetic.ch/cal_stud.htm

The science of geometry grew into the science of astronomy (now we start looking at the stars). We have now come to the stage when we can actually hope to visit these celestial bodies. All this started with a faulty premise of 360 degrees to a circle.

 partha


 
 
   
 

Discrete maths again
One more batch of students has  visited and explored the world of discrete mathematics with  me. The end-term questions were  made deliberately enigmatic, to confirm how much they have understood this fine subject. The question, as well as the answers, will be put up on the web very soon. Take a look.

partha
 
 
 

   
Teaching logic, the fun way
Mathematical logic is the basis of Computer Science. Teaching CS students mathematical logic can be a very strenuous act. It is difficult to invent simple but convincing examples. It is also difficult to pass the symbolic notation. I stumbled on a real interesting way I could make students understand mathematica logic (symbolic logic). I was inspired by an amazing book by Raymond Smullyan (The lady or the tiger, and other logic puzzles, Pub.: Alferd Knopf Inc.). I took the first puzzle in that book and explained it to my students in so many words. I gave them the solution, also in so many words. I then asked them to explain the same, but without using any English language words -- just use math notation and symbols. I let them struggle for some time and then gave them the solution (in fact two of them). This time I did not use "so many words", it was all in math symbols. I showed them how elegant and simple the resultant text was. I showed them how we could avoid the many ambiguities and pitfalls of a natural language like English. The puzzle and the solution will soon be published on the web, and announced in this blog. watch this space !
 
 
   
 

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