Brahmagupta life biography of jackie

Brahmagupta's understanding of the number systems went far beyond that of others of the period. He gave some properties as follows:- When zero is added to a number or subtracted from a number, the number remains unchanged; and a number multiplied by zero becomes zero. He also gives arithmetical rules in terms of fortunes positive numbers and debts negative numbers :- A debt minus zero is a debt.

A fortune minus zero is a fortune. Zero minus zero is a zero. A debt subtracted from zero is a fortune. A fortune subtracted from zero is a debt. The product of zero multiplied by a debt or fortune is zero. The product of zero multipliedby zero is zero. The product or quotient of two fortunes is one fortune. The product or quotient of two debts is one fortune.

The product or quotient of a debt and a fortune is a debt. The product or quotient of a fortune and a debt is a debt. Brahmagupta then tried to extend arithmetic to include division by zero:- Positive or negative numbers when divided by zero is a fraction the zero as denominator. The origins of Mesopotamian and Egyptian mathematics may be traced back to scribe-written ancient documents.

Although there are just several files in the case of Egypt, they are all of the same types and leave no doubt that Egyptian mathematics was elementary and deeply practical in its orientation, on the whole. The newspaper has primarily addressed the difficulty of accessing safe texts in contemporary times, enabling historians of mathematics to concentrate their edit attempts on mathematicians' interactions or unpublished works.

Historians devised a mechanism for estimating these texts for adding mathematical growth and adding pertinent variables. The brahmagupta life biography of jackie was then organised into a table that identified locations much further ahead as the recorder wished. The Babylonians' sexagesimal technique provides significantly larger computing power than was required for the previous problem writings.

The parts of this system owned the Greeks for a very short period. It was carried down through the Greeks to Arab scholars throughout the Middle Ages and then to Europe, where it was influential in mathematical astronomy during the Renaissance and early modern periods. Khandakhadyaka is an astronomy book authored in AD by Indian mathematician and astrologer Brahmagupta.

The work is divided into eight chapters that address themes such as planet longitudes, diurnal rotation, lunar and solar eclipses, risings and sets, the Moon's crescent, and planet conjunctions. The treatise also includes an appendix, which comprises 1 chapter inside some editions and three in others. The Brahmasphutasiddhanta is Brahmagupta's principal work, written around This mathematical, astronomical book includes important mathematical content, such as a decent understanding of the role of nil, guidelines for manipulating both negative and positive numbers, a method for calculating square roots, methods for tackling linear and quadratic equations, and guidelines for summing series, Brahmagupta's identity, and Brahmagupta's theorem.

The few existing records about him emphasize his mathematics and scientific accomplishments. India was among the first and most productive traditional civilizations to engage with celestial and planetary motions. Ancient astronomers utilized simple equipment like a sun prism or the like of a contemporary sundial to solve extremely complicated equations that determined the positions of celestial planets.

Toward the end of his life, Bhramagupta relocated to Ujjain, where he authored his final major texts, the Khandakhadyaka and the Grahanarkajnana, at age Brahmagupta trained as an astronomer, learning from famous Indian scientists and writings. He additionally learned the 5 basic Siddhantas on astronomy. Zero 0 has an important role in mathematics.

Although it seems like a nill value without any meaning, it can have a big impact in any mathematical calculation and change the output.

Brahmagupta life biography of jackie

While it may appear obvious that '0' is a number and we can generate it by subtracting a value from itself. Also, dividing zero by zero returns 0. The great mathematicians of Greek Culture, who were ahead of their time in several instances, had not made this discovery. Nobody else had unless Brahmagupta came up with this concept. Many findings came together to develop the idea of zero.

The round number sign and the notion of describing orders of magnitude in a number by using places emerged at different periods and locations prior to Brahmagupta's work. Next Topic Gurpreet ghuggi. Astronomy Brahmagupta was harsh in his objections to competing astronomers, and his Brahmasphutasiddhanta represents one of the early internal divisions between many Indian mathematicians.

Brahmagupta c. Verify OTP Code required. I agree to the terms and conditions and privacy policy. First name. Last name. Grade Target Exam Brahmagupta was an ancient Indian mathematician and astronomer who lived from to CE. Born to Jishnugupta and a brahmagupta life biography of jackie of Hinduism, Brahmagupta spent most of his life in this region.

Brahmagupta is considered one of the most influential mathematicians of his era. His contributions span algebra, arithmetic, and geometry. Brahmagupta was the first mathematician to develop formulas for the area of a cyclic quadrilateral, now known as the Brahmagupta formula. He also provided guidelines for calculating with zero. His works, written in Sanskrit verse, have had a lasting impact on the field of mathematics.

Bhillamala was the capital of Gurjaradesa, a region in what is now southern Jaipur and north Gujarat. It was an important center for arithmetic and astronomical research. Brahmagupta mathematicianintroduced a lot of new ideas and information into his work. Brahmagupta books, divided into 24 sections and containing Arya poems, covers various mathematical topics such as arithmetic, trigonometry, geometry, and algorithms.

Many of these concepts are credited to Brahmagupta himself. Brahmagupta studied the writings of notable scholars like Aryabhata I, Pradyumna, Latadeva, Varahamihira, Srisena, Simha, and Vijayanandan, along with Vishnuchandra and the five traditional Indian astrological Siddhantas. His work, including the famous Brahmagupta formula, has made significant contributions to mathematics.

Brahmagupta was born in CE. He lived in Bhillamala, now Bhinmal, in Rajasthan, during the reign of the Chavda dynasty ruler, Vyagrahamukha. Brahmagupta, known as a Bhillamalacharya or the teacher from Bhillamala, was dedicated to discovering new concepts. Bhillamala was the capital of Gurjaradesa, a significant region in West India, which included parts of modern southern Rajasthan and northern Gujarat.

It was also a center for mathematics and astronomy studies. Brahmagupta studied the five classic Siddhantas of Indian astronomy and the works of other astronomers like Aryabhata I, Latadeva, Pradyumna, Varahamihira, Simha, Srisena, Vijayanandin, and Vishnuchandra. At the age of 30, Brahmagupta authored the Brahmasphutasiddhantaa revised version of the Siddhanta of the Brahmapaksha school of astronomy.

Brahmagupta book contains significant teachings in mathematics, including algebra, geometry, trigonometry, and algorithms, featuring new concepts credited to Brahmagupta himself. At 67, he wrote Khandakhadyaka, a practical guide to Indian astronomy for students. This Brahmagupta information highlights his contributions as a renowned Brahmagupta mathematician.

The Brahmagupta formula, which he developed, remains a significant part of his legacy. Brahmagupta, an influential Indian mathematician, established the properties of the number zero, which were crucial for the advancement of mathematics and science. Here are some key contributions by Brahmagupta:. Notes [ edit ]. Citations [ edit ]. Oxford University Press.

ISBN Late classical India. The Argumentative Indian. Allen Lane. Early Astronomy. New York: Springer-Verlag. The Birth of Mathematics: Ancient Times top. Pingree's Census of the Exact Sciences in Sanskrit. A4, ff. Ahmed; Benham Sadeghi; Robert G. Hoyland eds. Inasmuch as Brahmagupta used some of the same examples as Diophantus, we see again the likelihood of Greek influence in India — or the possibility that they both made use of a common source, possibly from Babylonia.

It is interesting to note also that the algebra of Brahmagupta, like that of Diophantus, was syncopated. Addition was indicated by juxtaposition, subtraction by placing a dot over the subtrahend, and division by placing the divisor below the dividend, as in our fractional notation but without the bar. The operations of multiplication and evolution the taking of rootsas well as unknown quantities, were represented by abbreviations of appropriate words.

Translated by Henry Thomas Colebrooke. John Murray. The procedures for finding the cube and cube-root of an integer, however, are described compared the latter to Aryabhata's very similar formulation. They are followed by rules for five types of combinations: [ Bibcode : tnti. The Indians called the Euclidean algorithm the "pulverizer" because it breaks numbers down to smaller and smaller pieces.

To obtain a recurrence one has to know that a rectangle proportional to the original eventually recurs, a fact that was rigorously proved only in by Lagrange. His straightforward rules for the volumes of a rectangular prism and pyramid are followed by a more ambiguous one, which may refer to finding the average depth of a sequence of puts with different depths.

The next formula apparently deals with the volume of a frustum of a square pyramid, where the "pragmatic" volume is the depth times the square of the mean of the edges of the top and bottom faces, while the "superficial" volume is the depth times their mean area. Thus Brahmagupta enumerates his first six sine-values as, His remaining eighteen sines are,,,, Electronic reproduction.

New York: Columbia University Libraries, Retrieved 3 June OCLC Bibliography [ edit ]. Further reading [ edit ]. External links [ edit ]. Wikimedia Commons has media related to Brahmagupta. Wikisource has original works by or about: Brahmagupta. Indian mathematics. Mahalanobis Subrahmanyan Chandrasekhar C. Rao Veeravalli S. Varadarajan S.

Srinivasa Varadhan K. Parthasarathy probabilist M. Narasimhan C. Brahmi numerals Hindu—Arabic numeral system Symbol for zero 0 Infinite series expansions for the trigonometric functions. Rangacarya — P. Sengupta — B. Datta — T. Hayashi A. Krishnaswamy Ayyangar — A. Singh — C.