Indian astronomer and mathematician Brahmagupta lived from 598 to 668 CE. The Khandakhadyaka, a more practical text, and the theoretical Brahmasphutasiddhanta are two of his early works on mathematics and astronomy. For the first time, Brahmagupta provided guidelines for computing with zero. This article will explain to you about the Brahmagupta (598-668 CE) which will be helpful in Ancient History preparation for the UPSC Civil service exam.

Brahmagupta (598-668 CE)

• According to his own account, Brahmagupta was born in 598 CE.
• During the time of Vyagrahamukha, the Chapa dynasty emperor, he resided at Bhillamala (now Bhinmal).
• He was Jishnugupta's son and practised Shaivism.
• Although the majority of academics believe that Brahmagupta was born at Bhillamala, there is no solid proof to support this.
• However, he spent a significant portion of his life there and both lived and worked there.
• Bhillamalacharya, or the teacher from Bhillamala, was the name given to him by Prithudaka Svamin, a later critic.
• The following treatises were written by Brahmagupta:
  • Brahmasphutasiddhanta, composed in 628 CE.
  • Khandakhadyaka, composed in 665 CE.
  • Grahanarkajnana
• He wrote the Brahmasphuasiddhanta (the improved treatise of Brahma), said to be a corrected version of the accepted siddhanta of the Brahmaraksha school, in the year 628 when he was thirty years old.
• According to experts, he revised the book with a lot of creativity and included a significant quantity of fresh information.
• There are 24 chapters in the book, totaling 1008 verses in the rye metre.
• A significant portion of it is devoted to astronomy, but it also includes important chapters on mathematics, such as algebra, geometry, trigonometry, and algorithmics, which are said to include fresh ideas as a result of Brahmagupta's own research.
• Later, Brahmagupta relocated to Ujjain, a significant astronomical hub.
• At the age of 67, he wrote Khanda-khdyaka, a student-targeted karana handbook of Indian astronomy. It is his most well-known work to date.
• Brahmagupta was still alive in 665 CE.
• He is thought to have passed away at Ujjain.

Brahmagupta

Brahmasphutasiddhanta

• The primary work of Brahmagupta, which was composed in or around 628, is the Brahmasphutasiddhanta.
• This book on mathematical astronomy contains a substantial amount of mathematical material, such as a clear understanding of the function of zero, guidelines for dealing with both positive and negative numbers, a technique for computing square roots, approaches to solving linear and quadratic equations, guidelines for summing series, Brahmagupta's identity, and Brahmagupta's theorem.
• There is no mathematical notation in the book, which was entirely written in verse.
• However, it provided the first precise explanation of the quadratic formula (the solution of the quadratic equation).
• Although the Brahmasphutasiddhanta has twenty-five chapters, the first 10 of them appear to represent what many historians consider to be a preliminary draft of Brahmagupta's work, and there are copies that only have these chapters.
• These 10 chapters are organised into subjects that are common to historical Indian mathematical astronomy books.
• The following subjects are covered: the mean and true longitudes of the planets; the three issues with daily rotation; lunar and solar eclipses; risings and sets; the crescent and shadow of the moon; conjunctions of the planets with one another and with fixed stars.

Brahmagupta - Contributions

• In chapter eighteen of Brahmasphutasiddhanta, Brahmagupta provided the general linear equation's solution.
• Before Brahmagupta, many civilizations were aware of the four basic operations: addition, subtraction, multiplication, and division.
• The Brahmasphutasiddhanta is where the present system, which is based on the Hindu-Arabic number system, initially arose.
• The earliest book that offers guidelines for mathematical operations that apply to zero and negative integers is Brahmagupta's Brahmasphutasiddhanta.
• A method for producing Pythagorean triples is given by Brahmagupta in chapter twelve of his Brahmasphutasiddhanta.
• One of the first divisions among Indian mathematicians may be seen in Brahmagupta's Brahmasphuasiddhanta, which contains extensive critique of the work of competing astronomers.
• Instead than focusing on mathematics itself, the division was primarily concerned with how mathematics was applied to the physical world.

Conclusion

Brahmagupta was born in 598 CE, according to his own account. He lived in Bhillamala while Vyagrahamukha, the Chapa dynasty's ruler, was in power (now Bhinmal). He was the son of Jishnugupta and a Shaivist. The Brahmasphutasiddhanta, which was written by Brahmagupta in or around 628, is his most important work. Brahmagupta introduced the first rules for computing with zero.