Wednesday, June 6, 2018

June 06, 2018 Wednesday

Bedtime Story 


Lagrange Acquires Patronage of Charles Emmanuel III of Sardinia


Yes, it does happen in real life that a tragedy for one can be a fortune for the other and hence it is virtually meaningless to quantify any event as absolutely “good” or “bad”.

Just as it is in the case of predator-prey biological interaction which is an absolute zero-sum game wherein the predator’s gain or loss of utility is exactly balanced out by the loss or gain of utility of the prey.

Something similar happens in competitive exams for coveted few positions where any student’s success almost certainly is a tragic loss of several others.

Such was the case with Euler; the tragic early death of Nicolaus Bernoulli proved a boon for the young Euler.

Like Euler Lagrange too was fortunate enough to find a benefactor; not just that, but in fact he was very much a sought after mathematician.

Such was his brilliance in mathematics of this late bloomer that it got the attention of none other than Charles Emmanuel III of Sardinia and Duke of Savoy and King of Sardinia who had a long reign of forty three years from 1730 to 1773 until his death.

In 1755, when Lagrange had just turned 19 and was just two years into his deep engagement with mathematics, that he was appointed as the Assistant Professor of Mathematics at the Royal Military Academy of the Theory and Practice of Artillery.

It is very evident from the position and place as to the reason why the duke placed him so; he saw the power of mathematics and this exactly the reason why today most of the human apes speak either English, Spanish, French or some European languages.

In the era of Enlightenment, the Monarchs, Kings, the Dukes and the Generals foresaw the power of mathematics and mathematical sciences and their potential to their military ambitions.

At that tender age of 19 with self-taught training in mathematics, he was imparting training in calculus and mechanics which had the direct application to the army in its military development of ballistics.

As we will discuss later, Lagrange took special interest in mechanical physics such as projectiles, pendulums, vibrating strings and application of mathematics to them.

Lagrange was gradually building up on this subject what was initiated by Leonhard Euler in Saint Petersburg and Berlin and the English mathematician and military engineer Benjamin Robins.

Both Euler and Robins were senior contemporaries of Lagrange, all Europeans of course, if one wishes to count England as part of Europe too.

It is said that Lagrange was the first professor or rather a teacher to teach calculus in an engineering school; in fact, Lagrange was far more impressed with analysis (calculus) rather than arithmetic and geometry.

As a matter of fact, he was rather condescending about geometry as is evident by his letter to his French friend and mathematician Jean d’Alembert:

“I cannot say whether I will still be doing geometry ten years from now.”

We shall continue with what Lagrange had to say about geometry in the nights to come.

Stay tuned to the voice of an average story storytelling chimpanzee or login at http://panarrans.blogspot.com
                              
Good night Mon Ami and my fellow cousin ape.
                           
  
                

             












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Another great educator and a teacher that I am aware of is Professor Subhashish Chattopadhyay in Bangalore, India.

While I narrate stories, Professor Subhashish an electronic engineer and a former professor at BARC, does and teaches real mathematics and physics.

He started the participation of Indian students at the International Physics Olympiad.

Do visit him here:


All his books can be downloaded for free through this link:


For edutainment and English education of your children, I recommend this large collection of Halloween Songs for Kids:



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