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).[2][3]
Brāhmasphuṭasiddhānta is one of the first books to provide concrete ideas on positive numbers, negative numbers, and zero.[4] 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 0/0 = 0. In modern mathematics, division by zero is undefined for any field.[5]
Influenceedit
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.[6]
Referencesedit
^"Brahmagupta | Indian astronomer". Encyclopedia Britannica.
^Bradley, Michael. The Birth of Mathematics: Ancient Times to 1300, p. 86 (Infobase Publishing 2006).
^Mackenzie, Dana. 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 (online)
^Kaplan, Robert (1999). The Nothing that is: A Natural History of Zero. New York: Oxford University Press. pp. 68–75. ISBN0-19-514237-3.
^David Pingree, ed. (1970). Census of the Exact Sciences in Sanskrit Series A. Vol. 1. American Philosophical Society. p. 54.
External linksedit
Sanskrit Wikisource has original text related to this article:
ब्रह्मस्फुटसिद्धान्त
Brahmasphutasiddhanta at GRETIL (mathematical chapters: 12, 18-20, 21.17-23)
brāhmasphuṭasiddhānta, brāhma, sphuṭa, siddhānta, correctly, established, doctrine, brahma, abbreviated, main, work, brahmagupta, written, this, text, mathematical, astronomy, contains, significant, mathematical, content, including, first, good, understanding,. The Brahma sphuṭa siddhanta Correctly Established Doctrine of Brahma abbreviated BSS is a main work of Brahmagupta written c 628 1 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 and 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 2 3 Contents 1 Positive and negative numbers 2 Influence 3 References 4 External linksPositive and negative numbers editBrahmasphuṭasiddhanta is one of the first books to provide concrete ideas on positive numbers negative numbers and zero 4 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 0 0 0 In modern mathematics division by zero is undefined for any field 5 Influence editAshadhara 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 6 References edit Brahmagupta Indian astronomer Encyclopedia Britannica Bradley Michael The Birth of Mathematics Ancient Times to 1300 p 86 Infobase Publishing 2006 Mackenzie Dana 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 Bhascara London 1817 p 339 online Kaplan Robert 1999 The Nothing that is A Natural History of Zero New York Oxford University Press pp 68 75 ISBN 0 19 514237 3 David Pingree ed 1970 Census of the Exact Sciences in Sanskrit Series A Vol 1 American Philosophical Society p 54 External links edit nbsp Sanskrit Wikisource has original text related to this article ब रह मस फ टस द ध न त Brahmasphutasiddhanta at GRETIL mathematical chapters 12 18 20 21 17 23 O Connor John J Robertson Edmund F Brahmagupta MacTutor History of Mathematics Archive University of St Andrews Retrieved from https en wikipedia org w index php title Brahmasphuṭasiddhanta amp oldid 1217039930, wikipedia, wiki, book, books, library,
