
“The pair and the triplet
All numbers is the fame!
Equality in nature is the key!
Mathematics and nature playing a game!”
The nature is full of this sequence!
The one who rediscovered this was made famous again by the Dan Brown novel though he did not go deeper for the real truth!
The sequence is called Fibonacci!
Rediscovered!? Well; it was Made in India you see!
read on!
The Golden Road: How Ancient India Transformed the World is a 2024 history book by William Dalrymple and this audiobook is a revelation!
Dan Brown tells about this sequence in his novel called the Da Vinci Code which is when it became popular again specially for the general public though mathematicians all over the world already knew about it! The more intelligent ones even knew the actual history!
History is an amazing thing to know since well, it is history! It is specially amazing for those who have a rich history!
Of course you must not simply live in history; the aim is to march into the future with the knowledge of history!
Now we know that many seed heads, pinecones, fruits, sea shell patterns and vegetables display spiral patterns that when counted express Fibonacci numbers.
In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn .
Starting from 0 and 1, the sequence begins
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 and so on…
Fibonacci numbers appear unexpectedly often in mathematics, so much so that there is an entire journal dedicated to their study, the Fibonacci Quarterly!
Applications of Fibonacci numbers include computer algorithms such as the Fibonacci search technique and the Fibonacci heap data structure, and graphs called Fibonacci cubes used for interconnecting parallel and distributed systems!
In the Liber Abaci (1202), Fibonacci introduced the so-called modus Indorum with ten digits including a zero and positional notation.
The book showed the practical use and value of this by applying the numerals to commercial bookkeeping, converting weights and measures, calculation of interest, money-changing, and other applications.
The book was well-received throughout educated Europe and had a profound impact on European thought. Replacing Roman numerals, its ancient Egyptian multiplication method, and using an abacus for calculations, was an advance in making business calculations easier and faster, which assisted the growth of banking and accounting in Europe.
The book was intended to replace the cumbersome Roman numerals which were not ‘scientific’ and were confusing and did not cover all the aspect of mathematics.
So where does India fit into the picture!
Well modus Indorum means method of the Indians! This system is used even today all over the world and you may know them as the Hindu–Arabic numeral system!
Yes! The origin was from the works of the great mathematicians of India including scholars like Aryabhata, Brahmagupta, Bhaskara II, Varāhamihira, and Madhava!
In fact it was used all over in ancient times and extended by medieval Arabs and Persians!
They used to call it al-ḥisāb al-hindī! Which means “Indian arithmetic”!
In fact the Fibonacci numbers were first described in Indian mathematics as early as 200 BC in work by Pingala on enumerating possible patterns of Sanskrit poetry formed from syllables of two lengths!
So everytime you dial a number on your phone, remember that it MADE IN INDIA! Not the phone but surely the numbers! Made in India also is the director of Elizabeth; Shekhar Kapur!
Now sleep in proper sequence with pride!
Shubh ratri! Jai hind!