April 24, 2024

Ramanujan Quiz Day - 2

 Dear Participants

The quiz is an effort to let you know about our mathematician and especially Srinivasa Ramanujan whose birthday is being celebrated as NATIONAL  MATHEMATICS DAY. The quiz s will run till 26th April 2024 (105th Remembrance Day). 

LINK FOR DAY 1 QUIZ

The life of Ramanujan also reminds us the importance of a teacher. Ramanujan become Ramanujan because he got the support of his mentor G H Hardy.


Ramanujan in 1913, wrote a letter to G H Hardy telling him about the mathematical discovery he had made. He sent 120 theorems to him that baffled Hardy and he called him England.





 If you want to check out the questions of Day - 1, you can click the link given at the beginning. For the quiz of 2nd day, click the link below.


Do Share the link with your friends. Let's join hands together to make Ramanujan the household name.

Don't forget to write your views on the quiz, in the comment box. 

Regards
DR RAJESH THAKUR

April 18, 2024

Ramanujan Quiz Day - 1

Dear Students

SRINIVASA RAMANUJAN came to India after completing his BA from Cambridge University in 1919. His health kept deteriorating and he finally left for heavenly abode on 26th April 1920. 

April 26 is celebrated as Ramanujan Remembrance Day.

The life of Ramanujan gives us strength to fight against all odds and to be a winner. 

Being born in a very poor family where hardly could he get meal at the end of the day, Ramanujan reached the top of mathematical mountain. 

Blessing of parents, advice of teachers and friends and cooperation and support of G H Hardy brought a genius of Ramanujan.



Here is a small efforts from my side to salute the mathematical genius. Do join me to know about Ramanujan and his journey from a small town Kumbakonam to England.

If you want to know about Ramanujan the great mathematician don't forget to read the following books.

      


 This quiz will run till 26th April to celebrate RAMANUJAN REMEMBERANCE DAY.


                  Click here to play the quiz 

Give your suggestion and feedback in the comment section.

March 11, 2024

PI DAY (14th March 2024) QUIZ

 Dear All

On the occasion of Pi Day being celebrated on 14th March every year, Here is one very interesting quiz dedicated to Pi. The story of pi is more than 4000 years old but the race to find its value is still continued.

Interesting Facts:-

1.  
                                             (Courtesy:- From the Tweet of @Cliff Pickover)

2. Today (14th March) is the birthday of  WacLkaw Sierpinski (14/03/1882 - 21/10/1969). According to his wish - the famous Sierpinski Triangle was designed on his grave.

3. The idea to celebrate Pi day came first in the mind of an employee (Mr Larry Shaw) of the San Francisco Science Museum , The Exploratorium in 1988. 

                                                      A brief Introduction of Pi

Value of Pi = 22/7 is probably taken because Archimedes (born in 287 BC) calculated the ratio of circumference to diameter coming out to be lying between 223/71 and 22/7.

Aryabhata (born in 476AD) was the first Indian mathematician who calculated the value of pi correct up to 4 decimal places. His value of pi was 3.1416. 

The Mahabharta decodes the value of pi as 3.

योजनानां सहस्राणि विष्कम्भो द्वादशास्य वै ॥ 6-12-40
परिणाहेन षट्त्रिंशद्विपुलत्वेन चानघ ।
षष्टिमाहुः शतान्यस्य बुधाः पौराणिकास्तथा ॥ 6-12-41
चन्द्रमास्तु सहस्राणि राजन्नेकादश स्मृतः ।
विष्कम्भेण कुरुश्रेष्ठ त्रयस्त्रिंशत्तु मण्डलम् ॥ 6-12-42
एकोनषष्टिविष्कम्भं शीतरश्मेर्महात्मनः ॥ 6-12-43
सूर्यस्त्वष्टौ सहस्राणि द्वे चान्ये कुरुनन्दन।
विष्कम्भेण ततो राजन्मण्डलं त्रिंशता समम् ॥ 6-12-44
अष्टपञ्चाशतं राजन्विपुलत्वेन चानघ।
श्रूयते परमोदारः पतगोऽसौ विभावसुः ॥ 6-12-45
एतत्प्रमाणमर्कस्य निर्दिष्टमिह भारत ।

The Moon is handed down by memory to be eleven thousand yojanas in diameter. Its peripheral circle happens to be thirty three thousand yojanas when calculated.

The Sun is eight thousand yojanas and another two thousand yojanas in diameter. From that its peripheral circle comes to be equal to thirty thousand yojanas.


The Bible says -

Also he made a molten sea of ten cubits from brim to brim round in compass and five cubits the height thereof; and a line of thirty cubits and compass it round about.  --- Old Testament

William L Schoff says -

Probably no symbol in mathematics has evolved much mystery, romanticism, misconception and human interest as the number of pi.

      

          Buffon

Buffon calculated the value of pi using needle. Ancient Hebrews who built Solomon's temple used pi = 3 while Shatapatha Brahmin calculated the value of pi equals to 3.085.

In 1901, Italian mathematician Mario Lazzarini Performed the Buffon Needle experiment tossing a needle 3408 times, he obtained the approximation of pi which was a very accurate value. 

Archimedes in 3rd century inscribed and circumscribed regular polygons up to 96 sides and showed the upper limit is 22/7 and lower limit is 223/71.

           Pi  Day = March 14 (3/14)


Aryabhata calculated the value of pi correct  up to 4 decimal places and can be termed as the first mathematician to do so.
Add 4 to 100, multiply it by 8 and then add 62000. The result is approximately the circumference of a circle of diameter 20000.

Madhava, the founder of Kerala School of Mathematics also calculated the value of pi before James Gregory using the infinite series.

व्यासे वारिधिनिहते रूपहृते व्याससागराभिहते।

त्रिशरादिविषमसंख्यामत्तमृणं स्वं पृथक् क्रमात् कुर्यात्

यत्संख्ययात्र हरणे कृते निवृत्ता हृतिस्तु जामितया।

                         तस्या उर्धगताया समसंख्या तद्दालं गुणोऽन्ते स्यात् \\

Ramanujan made several attempt and calculated the value of pi through numerous formula.
You can also calculate the value of pi using his formula.

Yale Bablonian Tablet known as YBC 7302 also approximates pi as 3.125 . . .

Interesting Facts About Pi:- 

At position 763 which is also known as Feynman Point, there are six nines in a row. 

Johann Lambert proved Pi is irrational in 1768.

I hope you have read the information shared here. It is the time to play quiz to explore your knowledge about pi. 

CLICK HERE FOR QUIZ

A certificate is attached with the quiz provided you score 75% marks so try your luck and win certificate.

Rajesh K Thakur



google.com, pub-5194588720185623, DIRECT, f08c47fec0942fa0 google.com, pub-5194588720185623, DIRECT, f08c47fec0942fa0

March 10, 2024

MATHEMATICIANS FROM INDIA


Dear Friends
I have tried to collect some of Indian Mathematicians' details and put it in Tabular Form in a Calendar format so that readers can know about them or celebrate their birthday.
Do share with your friends and don't forget to write your thoughts in the comment section with your name.

Mathematicians born in January
Mathematician Born in February
Mathematician born in March
Mathematician born in April
Mathematician born in May
Mathematicians born in June
Mathematicians born in July
Mathematician born in August
Mathematician born in September
Mathematicians born in October

Mathematician born in November
Mathematicians born in December

google.com, pub-5194588720185623, DIRECT, f08c47fec0942fa0

March 5, 2024

COMPETENCY BASED QUESTION MAKING WORKSHOP AT MANAVRACHNA UNIVERSITY








NON- COMPETENCY BASED VIDEO (MIT USA)



(Only Qualifications without Skill /Competency is of no use)


































(JAPANESE CLASSROOM- TEACHING METHODS TO SOLVE A QUESTION USING DIFFERENT METHODS)
















         EINSTEIN CAR PROBLEM VIDEO 


 

google.com, pub-5194588720185623, DIRECT, f08c47fec0942fa0