ब्रह्मस्फुट सिद्धांत
'brahmasphut siddhaant' brahmagupt ki pratham rachana hai. yah sanskrit mean hai. isaki rachana san 628 ee. ke asapas huee. brahmasphut siddhaant ko sabase pahala granth mana jata hai jisamean shoony ka ek vibhinn aank ke roop mean ullekh kiya gaya hai. yahi nahian, balki is granth mean rrinatmak aankoan aur shoony par ganit karane ke sabhi niyamoan ka varnan bhi kiya gaya hai. brahmagupt shoony se bhag karane ka niyam sahi nahian de paye- 0/0 = 0. unhoanne shak sanvat 550 (685 vikrami) mean 'brahmasphutik siddhant' ki rachana ki. inhoanne sthan-sthan par likha hai ki aryabhat, shrishen, vishnuchandr adi ki ganana se grahoan ka spasht sthan shuddh nahian ata hai, isalie ve tyajy haian aur 'brahmasphutik siddhant' mean drigganitaiky hota hai, isaliy yahi manana chahie. isase siddh hota hai ki brahmagupt ne 'brahmasphutik siddhant' ki rachana grahoan ka pratyaksh vedh karake ki thi aur ve is bat ki avashyakata samajhate the ki jab kabhi ganana aur vedh mean antar p dane lage to vedh ke dvara ganana shuddh kar leni chahie. ye pahale achary the jinhoanne ganit jyotish ki rachana vishesh kram se ki aur jyotish aur ganit ke vishayoan ko alag-alag adhyayoan mean baanta.
visheshata
is granth mean any batoan ke alava ganit ke nimnalikhit vishay varnit haian-
- shoony ki ganitiy bhoomika ki achchhi samajh hai.
- dhanatmak aur rrinatmak dono prakar ki sankhyaoan ke sath ganitiy sankriyaean karane ke niyam die gaye haian.
- vargamool nikalane ki ek vidhi.
- raikhik samikaranoan tatha kuchh varg samikaranoan ke hal karane ki vidhiyaan.
- ganitiy shreniyoan ka yog nikalane ki vidhiyaan.
- brahmagupt sarvasamika (Brahmagupta's identity) .
- brahmagupt pramey maujood hai.