在《婆罗摩历算书》第十四篇的第7句及第8句提及婆羅摩笈多是在三十歲那年著作此書的，也是628年，因此可以推得婆羅摩笈多是在598年出生 。婆羅摩笈多寫了四本有關數學及天文學的書，分別為624年的《Cadamekela》、628年的《婆罗摩历算书》、665年的《Khandakhadyaka》及672年的《Durkeamynarda》，其中最著名的是《婆罗摩历算书》。波斯歷史學家比魯尼在其著作《Tariq al-Hind》提到阿拉伯帝國阿拔斯王朝的哈里發馬蒙曾派大使到印度，並將一本「算書」帶到巴格達翻譯為阿拉伯文，一般認為這本算書就是《婆罗摩历算书》。
《婆罗摩历算书》中有四章半讲的是纯数学，第12章讲的是演算系列和少许几何学。第18章是关于代数，婆羅摩笈多在这里引入了一个解二次丟番圖方程如nx² + 1 = y²的方法。
- 英文原文是：“18.44. Diminish by the middle [number] the square-root of the rupas multiplied by four times the square and increased by the square of the middle [number]; divide the remainder by twice the square. [The result is] the middle [number].”
- 英文原文是：“18.45. Whatever is the square-root of the rupas multiplied by the square [and] increased by the square of half the unknown, diminish that by half the unknown [and] divide [the remainder] by its square. [The result is] the unknown.”
- 英文原文是：“12.20. The sum of the squares is that [sum] multiplied by twice the [number of] step[s] increased by one [and] divided by three. The sum of the cubes is the square of that [sum] Piles of these with identical balls [can also be computed]”
- 英文原文是：“18.30. [The sum] of two positives is positives, of two negatives negative; of a positive and a negative [the sum] is their difference; if they are equal it is zero. The sum of a negative and zero is negative, [that] of a positive and zero positive, [and that] of two zeros zero. [...]”
- 英文原文是：“18.32. A negative minus zero is negative, a positive [minus zero] positive; zero [minus zero] is zero. When a positive is to be subtracted from a negative or a negative from a positive, then it is to be added [...]”
- 英文原文是：“18.33. The product of a negative and a positive is negative, of two negatives positive, and of positives positive; the product of zero and a negative, of zero and a positive, or of two zeros is zero.”
- 英文原文是：“18.34. A positive divided by a positive or a negative divided by a negative is positive; a zero divided by a zero is zero; a positive divided by a negative is negative; a negative divided by a positive is [also] negative.”
- 英文原文是：“18.35. A negative or a positive divided by zero has that [zero] as its divisor, or zero divided by a negative or a positive [has that negative or positive as its divisor]. The square of a negative or of a positive is positive; [the square] of zero is zero. That of which [the square] is the square is [its] square-root.”
- 英文原文是：“12.21. The approximate area is the product of the halves of the sums of the sides and opposite sides of a triangle and a quadrilateral. The accurate [area] is the square root from the product of the halves of the sums of the sides diminished by [each] side of the quadrilateral.”
- 英文原文是：“12.40. The diameter and the square of the radius [each] multiplied by 3 are [respectively] the practical circumference and the area [of a circle]. The accurate [values] are the square-roots from the squares of those two multiplied by ten.”
- Seturo Ikeyama. Brāhmasphuṭasiddhānta (CH. 21) of Brahmagupta with Commentary of Pṛthūdhaka, critically edited with English translation and notes. INSA. 2003.
- Brahmagupta biography. School of Mathematics and Statistics University of St Andrews, Scotland. [2013-07-15].
- David Pingree. Census of the Exact Sciences in Sanskrit (CESS). American Philosophical Society. : p254.
- Boyer. The Arabic Hegemony. 1991: 226.
By 766 we learn that an astronomical-mathematical work, known to the Arabs as the Sindhind, was brought to Baghdad from India. It is generally thought that this was the Brahmasphuta Siddhanta, although it may have been the Surya Siddhanata. A few years later, perhaps about 775, this Siddhanata was translated into Arabic, and it was not long afterwards (ca. 780) that Ptolemy's astrological Tetrabiblos was translated into Arabic from the Greek.缺少或
- （Plofker 2007，pp.428–434）
- （Plofker 2007，pp.421–427）
- Boyer. China and India. 1991: 220.
However, here again Brahmagupta spoiled matters somewhat by asserting that , and on the touchy matter of , he did not commit himself:缺少或
- （Plofker 2007，p.424） Brahmagupta does not explicitly state that he is discussing only figures inscribed in circles, but it is implied by these rules for computing their circumradius.
- Brahmagupta, and the influence on Arabia. School of Mathematical and Computational Sciences University of St Andrews. 2002-05 [2013-07-15].