In the title describing 'Indian' techniques, the specifics were the use of 'arabic' numbers: our base 10 system. This *was* adopted from India, but it was the Muslim scholars that extended it to widespread use and developed the techniques we use for addition and multiplication today.
As far as algebra goes, the Muslim scholars took what later Greek mathematicians had done (very little) and extended it. In the process, they learned how to manipulate polynomials, solve many types of cubic equations, started to understand infinite decimal expansions, figured out how to approximate trigonometric functions (not to mention actually inventing the ones we use today and considering their properties).
So, yes, a great deal of mathematics at the level of algebra and trigonometry (as well as spherical geometry) was developed by Muslim mathematicians.
I wasn't able to determine Mirzakhani's religious beliefs, but she was definitely born in Iran.
As far as algebra goes, the Muslim scholars took what later Greek mathematicians had done (very little) and extended it. In the process, they learned how to manipulate polynomials, solve many types of cubic equations, started to understand infinite decimal expansions, figured out how to approximate trigonometric functions (not to mention actually inventing the ones we use today and considering their properties).
So, yes, a great deal of mathematics at the level of algebra and trigonometry (as well as spherical geometry) was developed by Muslim mathematicians.
I wasn't able to determine Mirzakhani's religious beliefs, but she was definitely born in Iran.
