From Surf Wiki (app.surf) — the open knowledge base

Brāhmasphuṭasiddhānta

Mathematical work of Brahmagupta

The Brāhma-sphuṭa-siddhānta ("Correctly Established Doctrine of Brahma", abbreviated BSS) is a main work of Brahmagupta, written c. 628. This text of mathematical astronomy contains significant mathematical content, including the first good understanding of the role of zero, rules for manipulating both negative and positive numbers, a method for computing square roots, methods of solving linear and quadratic equations, rules for summing series, Brahmagupta's identity, and Brahmagupta theorem.

The book was written completely in verse and does not contain any kind of mathematical notation. Nevertheless, it contained the first clear description of the quadratic formula (the solution of the quadratic equation).

Positive and negative numbers

Brāhmasphuṭasiddhānta is one of the first books to provide concrete ideas on positive numbers, negative numbers, and zero. For example, it notes that the sum of a positive number and a negative number is their difference or, if they are equal, zero; that subtracting a negative number is equivalent to adding a positive number; that the product of two negative numbers is positive. Some of the notions of fractions differ from the modern rational number system. For example, Brahmagupta allows division by zero resulting in a fraction with a 0 in the denominator, and defines . In modern mathematics, division by zero is undefined for any field.{{cite book

Influence

Ashadhara, the son of Rihluka, wrote Graha-jnana with tables based on Brahma-sphuta-siddhanta in 1132. This work is also known by the names Graha-ganita, Brahma-tulyanayana, Bhaumadi-panchagraha-nayana, Kshanika-grahanayana, or simply Ashadhara. Harihara wrote an extended version of the Graha-jnana around 1575 CE.

References

(19 July 2024). "Brahmagupta {{!}} Indian astronomer".
Bradley, Michael. ''The Birth of Mathematics: Ancient Times to 1300'', p. 86 (Infobase Publishing 2006).
Mackenzie, Dana. ''[https://books.google.com/books?id=2QYSAAAAQBAJ&q=Brahmagupta The Universe in Zero Words: The Story of Mathematics as Told through Equations]'', p. 61 (Princeton University Press, 2012).
[[Henry Thomas Colebrooke]]. ''Algebra, with Arithmetic and Mensuration, from the Sanscrit of Brahmegupta and Bháscara'', London 1817, p. 339 ([https://archive.org/details/algebrawitharith00brahuoft online])
(1970). "Census of the Exact Sciences in Sanskrit Series A". American Philosophical Society.

Info: Wikipedia Source

This article was imported from Wikipedia and is available under the Creative Commons Attribution-ShareAlike 4.0 License. Content has been adapted to SurfDoc format. Original contributors can be found on the article history page.

indian-mathematics 7th-century-sanskrit-literature 7th-century-manuscripts history-of-algebra treatises indian-astronomy-texts brahmagupta

Want to explore this topic further?

Ask Mako anything about Brāhmasphuṭasiddhānta — get instant answers, deeper analysis, and related topics.

Research with Mako

Free with your Surf account

Content sourced from Wikipedia, available under CC BY-SA 4.0.

This content may have been generated or modified by AI. CloudSurf Software LLC is not responsible for the accuracy, completeness, or reliability of AI-generated content. Always verify important information from primary sources.

Report