{"id":85,"date":"2023-03-11T05:25:59","date_gmt":"2023-03-11T05:25:59","guid":{"rendered":"https:\/\/vedictreasures.in\/?p=85"},"modified":"2023-04-28T20:15:41","modified_gmt":"2023-04-28T14:45:41","slug":"vedic-contribution-to-the-binary-system","status":"publish","type":"post","link":"https:\/\/vedictreasures.in\/?p=85","title":{"rendered":"Issue 1: Vedic Contribution to the Binary System"},"content":{"rendered":"\n<p class=\"has-black-color has-text-color has-medium-font-size\">THE POWER OF EVERYTHING COMES FROM THE POWER OF NOTHING.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">A popular Hollywood song went something like this, \u201cNothing comes from nothing, nothing ever could\u2026\u201d<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">But, at the end of this article you may want to sing, \u201cEverything comes from Nothing, Nothing is really good\u2026\u201d<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Mystified?<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Is Nothing good? Or not? How can Everything come from Nothing?<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Look around you: the entire world today is empowered, exhilarating, and hurtling rapidly in Time.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">We travel all the time, we watch movies at home or in multiplexes, we order food to be delivered home, we communicate with friends worldwide at the drop of a hat, we see them in video chats in real time, we carry out financial transactions online, we read online- the list is endless and has become much longer since we learned how to cope with being housebound.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">How did this all come about?&nbsp;<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">You reply, why of course, it was the computer and software which evolved to this advanced stage that made it all possible.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">And I would agree, yes of course, that\u2019s how it happened.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">But then, how do computers and their software work? What is the essential key to all this magical function? Across nations speaking different languages, and cultures with different educational backgrounds?<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">And the young among you would giggle or snigger at this old person, and say, of course it\u2019s all because of an invention of a code of 2 numbers, 1 and 0 combined in zillion combinations that it can happen- a binary code, the invention of which is a subject of much debate.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Now it\u2019s MY turn to laugh, and say,&nbsp;<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">BUT<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Where did they get the zero from?<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Do you know if not for ancient India and <strong>Vedic Mathematicians<\/strong> there would be&nbsp;<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">No Zero<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">No Binary Code<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">No Software<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">No Computer<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">No Digital Functions<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">No Aviation <\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">No Banking<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">No Holidays<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">No Dining Out<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">No Entertainment<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">No Modern Day Life as we know it&#8230;<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">ALL<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"614\" src=\"https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/iStock-521204750-1024x614.jpg\" alt=\"\" class=\"wp-image-131\" srcset=\"https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/iStock-521204750-1024x614.jpg 1024w, https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/iStock-521204750-300x180.jpg 300w, https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/iStock-521204750-768x461.jpg 768w, https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/iStock-521204750-1536x922.jpg 1536w, https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/iStock-521204750-2048x1229.jpg 2048w, https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/iStock-521204750-850x510.jpg 850w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Binary Code. Source: iStock by Getty Images<\/figcaption><\/figure><\/div>\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Because, the brilliance of <strong>ancient Indian<\/strong> mathematicians has brought us where we are today.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">And no, you don\u2019t have to take MY word for it; I\u2019m no historian, or archaeologist, or mathematician.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">I\u2019m only a curious scientist who decided to explore reference materials to understand where I as an Indian came from, and as Indians, what have we meant to the world.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">It all began aeons ago, the exact period is only now emerging from exquisite scientific research.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">More of that later, when I shall cover the origins of the ancient Indian or Vedic culture.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">And the other contributions of Vedic knowledge to the world as we know it even today.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201c\u2026. Many of the inventions we enjoy today are because of the developments that took place in <strong>ancient India<\/strong>.\u201d<\/p>\n<cite><strong><em>Ref.: \u201cAdvancements of ancient India\u2019s Vedic culture: The planet\u2019s earliest civilisation and how it influenced the world.\u201d, Stephen Knapp, 2012. Publ: The World Relief Network, page 54<\/em><\/strong><\/cite><\/blockquote>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Coming back to Vedic mathematics.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Who were these people who created zero? And why?<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Counting is a need when something is stored, or exchanged or traded. How many bananas? How many fish? How many sacks of grain?<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">The easiest way would be to make a display and check it off on the fingers of a hand, and then devise a way to do so repeatedly. How then can we make some form of record of what is stored or traded? For a master perhaps?<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">So a symbol was created. These symbols were created across the globe in different civilisations that we know of, <strong>Egyptian<\/strong>, Greek, Roman, Arabic and so on.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">When the Egyptians wanted to write a large number they had to note down 20 to 30 symbols- difficult to imagine and understand today right ?<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201c The numerals script from India is one of the greatest contributions (of <strong>Vedic Culture<\/strong>) to the world\u2026\u2026<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">For the number 986 they (the ancient Egyptians) had to use 23 symbols\u2026..\u201d<\/p>\n<cite><strong><em>Ref.: \u201cAdvancements of ancient India\u2019s Vedic culture: The planet\u2019s earliest civilisation and how it influenced the world.\u201d, Stephen Knapp, 2012. Publ: The World Relief Network, page 53.<\/em><\/strong><\/cite><\/blockquote>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">The difficulty is further increased considering that all records in ancient Egypt were kept on large clay tablets engraved with words. Sometimes these tablets broke, and records were lost.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Did any other culture fare better?<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\"><strong>Graeco-Roman<\/strong> also used symbols, visible even today on clock faces and as numbering of traditional items. They used alphabets like I, V, M, X , C and L, and combinations of these to represent numbers. But still, it was a bulky system, and they could not arrive at a simple system<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Ancient India traded with <strong>ancient Arabia<\/strong> using the land routes, and sea routes, and cultural exchange began; trade required number systems, and the Indians taught the Arabs their own systems. The Arabs also traded with European nations and the system travelled from the Arabs to Europe.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">It\u2019s very frustrating to know that for centuries the Europeans called OUR Vedic system of numerals as Arabic numerals, while the Arabs themselves called it HINDISAT or Hindu ART.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Strangely enough, the role of the Arabs goes a bit further in understanding the unknown and incredible contribution to today\u2019s computer terminology.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\"><strong>The earliest form of decimal numerals originated in The Indus valley civilisation circa 2000 BCE from what are called the Brahmi numerals<\/strong>.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">The brilliant Vedic mathematician <strong>Brahmagupta<\/strong> in 628 CE had written a book on mathematics in Sanskrit; this was meticulously translated into Arabic, by al Fazari and an unknown Indian scholar, and this translation was read by <strong>Al-Khwarizmi<\/strong>, inspiring him to write a book for European scholars, called&nbsp;<em>De Numero Indorum<\/em>&nbsp;or \u201c<em>The Indian Art of Reckoning\u201d&nbsp;<\/em>( calculation). In this book he gave a full account of the Vedic numerals which was the first to expound the system with its digits of 0,1,2,3,4,5,6,7,8,9 and the decimal place value which was a fairly recent arrival from India.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-left has-black-color has-text-color has-medium-font-size\">\u201cThe new notation came to be known as that of Al- Khwarizmi, or more carelessly, algorismi; ultimately the scheme of making of numeration making use of the Vedic numerals came to be called algorism or&nbsp;<strong>algorithm<\/strong>, a word that derived from the name of al-Khwarizmi ( who had only taken it from Brahmagupta\u2019s translated works). This now means any peculiar rule of procedure or operation\u201d<\/p>\n<cite><strong><em>Ref.: \u201cAdvancements of ancient India\u2019s Vedic culture: The planet\u2019s earliest civilisation and how it influenced the world.\u201d, Stephen Knapp, 2012. Publ: The World Relief Network, page 54<\/em><\/strong><\/cite><\/blockquote>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">How cool is that ??<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Modern computer terminology for any new (mathematical or binary ) procedure or operation directly traceable to an Arabic author who popularised Vedic numeral system, and lent his name to a simplified version of his name to describe the Vedic numeral system.&nbsp;<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">The practice of trade and barter evolved to commercial success and better standards of living: moving from a small simple cottage to a bigger home with additional stores, a small cooking area, and so on. The need for reliable measurement of areas, and heights of structures arose.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\"><strong>Geometry<\/strong>&nbsp;is today taken for granted as the base mathematics for all&nbsp;<strong>architecture<\/strong>&nbsp;and engineering. Was it always so?&nbsp;<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">It was from ancient India that geometric instruments probably spread far and wide to the rest of Her trading nations.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-left has-black-color has-text-color has-medium-font-size\">\u201c\u2026\u2026.. India was indeed the centre for most civilizational development of the time. One example is that recent evidence of geometrical drawing instruments from as early as 2500 BCE have been found in the Indus Valley. Weights and scales with decimal divisions have been found from that early period, all of which are still quite accurate.\u201d<\/p>\n<cite><strong><em>Ref.: \u201cAdvancements of ancient India\u2019s Vedic culture: The planet\u2019s earliest civilisation and how it influenced the world.\u201d, Stephen Knapp, 2012. Publ: The World Relief Network, page 55.<\/em><\/strong><\/cite><\/blockquote>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201cAlso of great interest is a&nbsp;<strong>remarkably accurate decimal ruler<\/strong>&nbsp;known as the&nbsp;<strong>Mohenjodaro ruler<\/strong>. Subdivisions on the ruler have a&nbsp;<strong>maximum error of just&nbsp;0.005&nbsp;inches<\/strong>&nbsp;and, at a length of&nbsp;1.32&nbsp;inches, have been named the&nbsp;<strong>Indus inch<\/strong>. Furthermore, a correspondence has been noted between the Indus scale and brick size. Bricks&nbsp;(found in various locations)&nbsp;were found to have dimensions that were integral multiples of the graduations of their respective scales, which suggests advanced mathematical thinking.\u201d\u2026..&nbsp;<\/p>\n<cite><strong>REF.: https:\/\/mathshistory.st-andrews.ac.uk\/Projects\/Pearce\/chapter-3\/)<\/strong><\/cite><\/blockquote>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201cThe origins of geometry have been very clearly traced to thousands of years BC. It has been proven that one of the Vedic experts&nbsp;<strong>Baudhyayana<\/strong>, lived around 3200 BCE.\u201d<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201cIt was the&nbsp;<strong>Shulba Sutras<\/strong>&nbsp;that recorded the basis of these&nbsp;&nbsp;geometric formulas used for the Vedic temples and altars. \u2026\u2026 how to make a square of the same area as that of a triangle, a circle of the same area as that of a square, \u2026.&nbsp;<strong>Bhaskaracharya\u2019s&nbsp;<em>Lilavati<\/em><\/strong>&nbsp;tells us that an arm of an equal tetragon, pentagon, hexagon, octagon in a circle, is in definite proportions to the diameter of the circle.\u201d<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201cThe Shulba Sutras form part of the&nbsp;<em>Vedangas<\/em>&nbsp;\u2026. The most important texts are of Baudhyayana, Apastamba and Katyayana\u2026\u201d<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201cThe name Shulba Sutras\u201d meant \u201ccodes of rope\u201d\u2026. Because calculations were used for measuring precise distances from altars and temple structures by using lengths of rope.\u201d<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201c\u2026what became known as the&nbsp;<strong>Pythagorean theorem was already existing in the Baudhyayana<\/strong>, the earliest of the Shulba Sutras. This was presented by Pythagorus around 540 BCE after he discovered it in, what some say, his travels to India.\u201d<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201cIn 1978, Dr. Abraham Seidenberg, a professor of mathematics at the University of California in Berkeley, as noted in a paper called&nbsp;<em>The Origin of Mathematics<\/em>&nbsp;(p. 301, 1978(, mentioned\u2026..&nbsp;&nbsp;<strong>Old Babylonia (1700 BC) got the theorem of Pythagoras from India\u2026.\u201d&nbsp;<\/strong><\/p>\n<cite><strong><em>Ref.: \u201cAdvancements of ancient India\u2019s Vedic culture: The planet\u2019s earliest civilisation and how it influenced the world.\u201d, Stephen Knapp, 2012. Publ: The World Relief Network, page 58 &#8211; 66.<\/em><\/strong><\/cite><\/blockquote>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"670\" src=\"https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/iStock-164962473-1024x670.jpg\" alt=\"\" class=\"wp-image-133\" srcset=\"https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/iStock-164962473-1024x670.jpg 1024w, https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/iStock-164962473-300x196.jpg 300w, https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/iStock-164962473-768x502.jpg 768w, https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/iStock-164962473-1536x1005.jpg 1536w, https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/iStock-164962473-2048x1339.jpg 2048w, https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/iStock-164962473-850x556.jpg 850w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Mathematics textbook from 1743 year, Geometry Problem, Pythagorean Theorem. Source: iStock by Getty Images<\/figcaption><\/figure><\/div>\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201cin this paper, Seidenberg established that the Shulba Sutras were the basis for the mathematics in Egypt, Babylon, and Greece\u2026\u2026 preceded the mathematics of both Old Babylonia (c. 1900-1750 BCE) and of the Egyptian Middle Kingdom (c. 2100-1800 BCE).\u201d<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201cIndian mathematicians continued creating systems that were not known in Europe until much later in the Renaissance period, \u2026.<strong>Aryabhata<\/strong>&nbsp;..born in 476 CE \u2026introduced sines and versed sines, and is credited as the inventor of&nbsp;<strong>algebra<\/strong>\u2026. The calendar of India was based on the work of Aryabhata until the presence of the Gregorian calendar\u2026\u2026&nbsp;&nbsp;He also calculated the length of the year to be 365.258 days.\u201d<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201cBrahmagupta wrote the Khanda-khadakya, a mathematical treatise, and \u201cKepler\u2019s theory of parallax is a repeat of the Khanda-khadakya.\u201d<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Brahmagupta also described the law of gravity more than 500 years before&nbsp;<strong>Newton,<\/strong>&nbsp;He related that \u201call things fall to the earth&nbsp;&nbsp;by a law of nature, for it is the nature of the earth to attract and keep things.\u201d<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201cThe oldest known work in Sanskrit in Vedic mathematics and astronomy was written by Bhaskara I ( c. 600 \u2013 c. 680) \u201c<\/p>\n<cite><strong><em>Ref.: \u201cAdvancements of ancient India\u2019s Vedic culture: The planet\u2019s earliest civilisation and how it influenced the world.\u201d, Stephen Knapp, 2012. Publ: The World Relief Network, page 58 &#8211; 66.<\/em><\/strong><\/cite><\/blockquote>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\"><strong>The Poetry of Algebra<\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201c \u2026\u2026 all of Bhaskara\u2019s mathematical works were written in verse. His most charming book,&nbsp;<em>Lilavati<\/em>, written for his daughter , whose nickname was Lilavati (The beautiful), contains many interesting algebraic poems. Apparently beautiful Lilavati, following in her father\u2019s footsteps, had a taste for higher mathematics.&nbsp;<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Here is one poem from&nbsp;<em>Lilavati<\/em>:&nbsp;<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\"><em>A fifth part of a swarm of bees came to rest on the flower of Kadamba,<br>a third on the flower of Silinda.&nbsp;<\/em><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\"><em>Three times the difference between these two numbers flew over a flower of Krutaja,&nbsp;and one bee alone remained in the air,<br>attracted by the perfume of a jasmine in bloom.<br>Tell me, beautiful girl, how many bees were in the swarm?\u201d<\/em><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"880\" height=\"670\" src=\"https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/Moms-Painting-Bee.jpg\" alt=\"\" class=\"wp-image-137\" srcset=\"https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/Moms-Painting-Bee.jpg 880w, https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/Moms-Painting-Bee-300x228.jpg 300w, https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/Moms-Painting-Bee-768x585.jpg 768w, https:\/\/vedictreasures.in\/wp-content\/uploads\/2023\/03\/Moms-Painting-Bee-850x647.jpg 850w\" sizes=\"auto, (max-width: 880px) 100vw, 880px\" \/><figcaption class=\"wp-element-caption\">Painting by Dr. Usha Kamat Sharma. Copyright. All Right Reserved<\/figcaption><\/figure>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Solution : x = x\/5 + x\/3 + 3(x\/3-x\/5) + 1<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\"><strong>ORIGINAL REF OF POEM:<\/strong>https:\/\/www2.math.uconn.edu\/~glaz\/Preparation_For_Sciences\/Lilavati%27s%20Swarm%20with%20Solution.pdf<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Poem also quoted in AN&nbsp;<strong>ADVERTISEMENT BY IBM, 1973<\/strong>, \u201cHow India gave the world the logic of indeterminate equations\u201d<em>&nbsp;<\/em><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\"><strong><em>\u201cHistory owes a debt to three Indian mathematicians of 1500 years ago who developed Algebra to give meaning to the meaningless.\u201d&nbsp;<\/em><\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">This advertisement acknowledged the origins of Algebra from India that is Bharat. The world had been misled by the West, that Algebra came from the words Al Jabra i.e., from the Arabs.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Incidentally, it also demonstrates that women in ancient India had a deep interest in Mathematics !!!!&nbsp;<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201c \u2026. Mahavira (9<sup>th<\/sup>&nbsp;century, 815 CE) an Indian Jain mathematician who made great strides in the use of fractions, permutations and combinations, and figuring out how to divide one fraction by another. \u2026.considered to have established Jainism ..\u201d<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\"><em><strong>Author\u2019s Note<\/strong>: <\/em><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\"><em>It may be noted that \u201c<\/em><em>Mahavira (599\u2013527 BCE),(the 24<sup>th<\/sup>&nbsp;Tirthankara, founder of Jainism, and revered by the Jain community), is less well known but has some importance for the history of mathematics\u201d\u2026\u2026. (Ref.: The History of Mathematics 3<sup>rd<\/sup>&nbsp;Ed Wiley, 2013, Robert Cooke)<\/em><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\"><em>I erroneously attributed the contribution of Mahavira of the 9<sup>th<\/sup>&nbsp;Century to Mahavir Jain 24<sup>th<\/sup>&nbsp;Tirthankara previously; I thank Mr. Pradip Shah for pointing this out to me, and the error has been duly corrected, while being deeply regretted.<\/em><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201c\u2026. Bhaskara II (12<sup>th<\/sup>&nbsp;century, 1114-1185), also called Bhaskaracharya \u2026&nbsp;&nbsp;made progress in principles of&nbsp;<strong>calculus&nbsp;<\/strong>before Newton by 500 years. .. His greatest work was the&nbsp;<em>Siddhanta Shiromani<\/em>&nbsp;&nbsp;divided into four parts called Lilavati, Bijaganita, Grhahaganita on mathematics of the planets and Goladhyaya or&nbsp;<strong>astronomy.<\/strong>\u201d<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201cMadhava was the famous Kerala mathematician \u2026discovery of the sine and cosine functions as an infinite series was about 300 years before Newton \u2026. This work made its first appearance in Europe in 1676 in a letter by Newton to the Secretary&nbsp;&nbsp;of the Royal Society\u2026\u201d<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">\u201cMadhava also gave a more accurate value for&nbsp;<strong><em>pi<\/em><\/strong>&nbsp;\u2026 at 3.14159265359.\u201d<\/p>\n<cite><strong><em>Ref.: \u201cAdvancements of ancient India\u2019s Vedic culture: The planet\u2019s earliest civilisation and how it influenced the world.\u201d, Stephen Knapp, 2012. Publ: The World Relief Network, page 58 &#8211; 66.<\/em><\/strong><\/cite><\/blockquote>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">The gifts that Bharat gave to the world are innumerable and unimaginable. Thus far we have only had a small glimpse of the impact of Bharat\u2019s contributions in mathematics alone, which in turn have impacted every aspect of our daily life, albeit unbeknown to us all. The impact has been felt silently through research, engineering, space exploration, architecture, everywhere.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Architecture could develop very easily with the help of geometry. But we will come to this area of Vedic grandeur later.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Adieu for now reader. Until we meet again with more treasures from our Vedic forbears.&nbsp;<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\"><strong>Author\u2019s Post Script:<\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">As I said before, I am no historian, or archaeologist, or mathematician. I am a scientist with a deep and abiding love of our Ancient Civilisation and Culture, and an inexorable curiosity to learn more and more about it all my Life. Any errors or unwitting transgressions are mine and mine alone, and I hope to be excused for them.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-medium-font-size\">Readers are welcome to comment on inaccuracies with peer reviewed proofs through email at the email address provided, and corrections will be published after due vetting by our team, and contributions acknowledged with thanks.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>THE POWER OF EVERYTHING COMES FROM THE POWER OF NOTHING. A popular Hollywood song went something like this, \u201cNothing comes from nothing, nothing ever could\u2026\u201d But, at the end of this article you may want to sing, \u201cEverything comes from Nothing, Nothing is really good\u2026\u201d Mystified? Is Nothing good? Or&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[48],"tags":[27,29,28,25,21,31,39,44,34,36,19,26,43,22,30,24,41,33,37,42,32,40,45,38,35,23,20],"class_list":["post-85","post","type-post","status-publish","format-standard","hentry","category-volume-1","tag-al-khwarizmi","tag-algebra","tag-algorithm","tag-ancient-arabia","tag-ancient-india","tag-architecture","tag-aryabhata","tag-astronomy","tag-baudhyayana","tag-bhaskaracharya","tag-binary-system","tag-brahmagupta","tag-calculus","tag-egyptians","tag-geometry","tag-graeco-roman","tag-ibm","tag-indus-inch","tag-lilavati","tag-mahavir-jain","tag-mohenjodaro","tag-newton","tag-pi","tag-pythagorus","tag-shulba-sutras","tag-vedic-culture","tag-vedic-mathematicians"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.8 - aioseo.com -->\n\t<meta name=\"description\" content=\"THE POWER OF EVERYTHING COMES FROM THE POWER OF NOTHING. 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How can Everything come","inLanguage":"en-US","isPartOf":{"@id":"https:\/\/vedictreasures.in\/#website"},"breadcrumb":{"@id":"https:\/\/vedictreasures.in\/?p=85#breadcrumblist"},"author":{"@id":"https:\/\/vedictreasures.in\/?author=1#author"},"creator":{"@id":"https:\/\/vedictreasures.in\/?author=1#author"},"datePublished":"2023-03-11T05:25:59+05:30","dateModified":"2023-04-28T20:15:41+05:30"},{"@type":"WebSite","@id":"https:\/\/vedictreasures.in\/#website","url":"https:\/\/vedictreasures.in\/","name":"vedictreasures.in","description":"India's Gifts to the World","inLanguage":"en-US","publisher":{"@id":"https:\/\/vedictreasures.in\/#person"}}]},"og:locale":"en_US","og:site_name":"Vedic Treasures - India's Gifts to the World","og:type":"article","og:title":"Issue 1: Vedic Contribution to the Binary System - Vedic Treasures","og:description":"THE POWER OF EVERYTHING COMES FROM THE POWER OF NOTHING. A popular Hollywood song went something like this, \u201cNothing comes from nothing, nothing ever could\u2026\u201d But, at the end of this article you may want to sing, \u201cEverything comes from Nothing, Nothing is really good\u2026\u201d Mystified? Is Nothing good? Or not? How can Everything come","og:url":"https:\/\/vedictreasures.in\/?p=85","article:published_time":"2023-03-11T05:25:59+00:00","article:modified_time":"2023-04-28T14:45:41+00:00","twitter:card":"summary_large_image","twitter:title":"Issue 1: Vedic Contribution to the Binary System - Vedic Treasures","twitter:description":"THE POWER OF EVERYTHING COMES FROM THE POWER OF NOTHING. A popular Hollywood song went something like this, \u201cNothing comes from nothing, nothing ever could\u2026\u201d But, at the end of this article you may want to sing, \u201cEverything comes from Nothing, Nothing is really good\u2026\u201d Mystified? Is Nothing good? Or not? How can Everything come"},"aioseo_meta_data":{"post_id":"85","title":null,"description":null,"keywords":[],"keyphrases":{"focus":{"keyphrase":"","score":0,"analysis":{"keyphraseInTitle":{"score":0,"maxScore":9,"error":1}}},"additional":[]},"primary_term":null,"canonical_url":null,"og_title":null,"og_description":null,"og_object_type":"default","og_image_type":"default","og_image_url":null,"og_image_width":null,"og_image_height":null,"og_image_custom_url":null,"og_image_custom_fields":null,"og_video":"","og_custom_url":null,"og_article_section":null,"og_article_tags":[],"twitter_use_og":false,"twitter_card":"default","twitter_image_type":"default","twitter_image_url":null,"twitter_image_custom_url":null,"twitter_image_custom_fields":null,"twitter_title":null,"twitter_description":null,"schema":{"blockGraphs":[],"customGraphs":[],"default":{"data":{"Article":[],"Course":[],"Dataset":[],"FAQPage":[],"Movie":[],"Person":[],"Product":[],"ProductReview":[],"Car":[],"Recipe":[],"Service":[],"SoftwareApplication":[],"WebPage":[]},"graphName":"","isEnabled":true},"graphs":[]},"schema_type":"default","schema_type_options":null,"pillar_content":false,"robots_default":true,"robots_noindex":false,"robots_noarchive":false,"robots_nosnippet":false,"robots_nofollow":false,"robots_noimageindex":false,"robots_noodp":false,"robots_notranslate":false,"robots_max_snippet":"-1","robots_max_videopreview":"-1","robots_max_imagepreview":"large","priority":null,"frequency":"default","local_seo":null,"breadcrumb_settings":null,"limit_modified_date":false,"ai":null,"created":"2023-03-10 14:32:54","updated":"2025-06-04 10:43:21","seo_analyzer_scan_date":null},"aioseo_breadcrumb":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\t\t\t<a href=\"https:\/\/vedictreasures.in\" title=\"Home\">Home<\/a>\n\t\t<\/span><span class=\"aioseo-breadcrumb-separator\">&raquo;<\/span><span class=\"aioseo-breadcrumb\">\n\t\t\t<a href=\"https:\/\/vedictreasures.in\/?cat=48\" title=\"Volume 1\">Volume 1<\/a>\n\t\t<\/span><span class=\"aioseo-breadcrumb-separator\">&raquo;<\/span><span class=\"aioseo-breadcrumb\">\n\t\t\tIssue 1: Vedic Contribution to the Binary System\n\t\t<\/span><\/div>","aioseo_breadcrumb_json":[{"label":"Home","link":"https:\/\/vedictreasures.in"},{"label":"Volume 1","link":"https:\/\/vedictreasures.in\/?cat=48"},{"label":"Issue 1: Vedic Contribution to the Binary System","link":"https:\/\/vedictreasures.in\/?p=85"}],"_links":{"self":[{"href":"https:\/\/vedictreasures.in\/index.php?rest_route=\/wp\/v2\/posts\/85","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vedictreasures.in\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vedictreasures.in\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vedictreasures.in\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/vedictreasures.in\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=85"}],"version-history":[{"count":51,"href":"https:\/\/vedictreasures.in\/index.php?rest_route=\/wp\/v2\/posts\/85\/revisions"}],"predecessor-version":[{"id":181,"href":"https:\/\/vedictreasures.in\/index.php?rest_route=\/wp\/v2\/posts\/85\/revisions\/181"}],"wp:attachment":[{"href":"https:\/\/vedictreasures.in\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=85"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vedictreasures.in\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=85"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vedictreasures.in\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=85"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}