Friday, April 7, 2017

April 07, 2017 Friday

Bedtime Story 


The Most Beautiful Minds of the Nineteenth Century


One of the direct corollaries of the Lindemann-Weierstrass theorem is that the numbers ℯ and 𝛑 are transcendental.  

Once it was proven that pi was transcendental and not algebraic, then it became certain that construction of root of 𝞹 by a compass and straight edge was an impossibility.

Hence it was the proof of the transcendence of 𝛑 that proved the impossibility of squaring the circle.

Obviously I will not go into the proof of theorem since by the very definition of average ape, I fall into the category of inadequate apes who are simply not equipped with nervous system to comprehend the beauty of the proof.    

Even if I can’t appreciate the proof, the least I can do it use in my common parlance, this term “squaring the circle” as a metaphor for carrying out anything inconceivable.

At this point it is worth listing all the beautiful minds of the nineteenth century who were responsible for the tremendous advancements in mathematics in that century.

Joseph Fourier (1768-1830) Kingdom of France

Jean-Robert Argand (1768-1822) Geneva, Switzerland

Évariste Galois (1811-1832) Kingdom of France

Carl Friedrich Gauss (1777-1855) Holy Roman Empire

János Bolyai (1802-1860) Hapsburg Empire

Nikolai Lobachevsky (1792-1856) Russian Empire

Bernhard Riemann (1826-1866) Kingdom of Hanover

Charles Babbage (1791-1871) United Kingdom

George Peacock (1791-1858) England

George Boole (1815-1864) England

William Hamilton (1805-1865) Ireland

Hermann Grassmann (1809-1877) Kingdom of Prussia

Arthur Cayley (1821-1895) United Kingdom

Bernard Bolzano (1781-1848) Kingdom of Bohemia

Karl Weierstrass (1815-1897) Kingdom of Prussia

Augustin-Louis Cauchy (1789-1857) France

Carl Jacobi (1804-1851) Kingdom of Prussia

August Ferdinand Möbius (1790-1868) Electorate of Saxony, Holy Roman Empire

Felix Klein (1849-1925) Kingdom of Prussia

Sophus Lie (1842-1899) Norway

Georg Cantor (1845-1918) Russian Empire

Jacques Hadamard (1865-1963) France

Charles Jean de la Valée-Poussin (1866-1962) Belgium

Hermann Minkowski (1864-1909) Russian Empire

Gottlob Frege (1848-1925) Germany

Henri Poincaré (1854-1912) France

The lack of familiarity with these names by average apes is a chilling reminder that we all, right from birth, have been consigned to total and complete obscurity.

Stay tuned to the voice of an average story storytelling chimpanzee or login at http://panarrans.blogspot.in/
                              
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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