Answer:
The advancements were:
1. The invention and use of zero
2. The use of letters for unknown numbers
3. The invention of operational signs like + , - etc
4. The introduction of the Cartesian coordinate plane and expressing straight lines as equations y = mx + b
Explanation:
"Renaissance in art, reorganization in religion, Columbus found the new world, Copernicus showed that the earth need not be viewed as the focal point of the universe. Scholarly world was loaded with additional opportunities, and in this setting a mathematical revolution was not startling."
The presentation of logarithmic documentation implied that arithmetic was quicker to process and simpler to deal with. Previously, arithmetic was written in words making it relentless and tedious. It is likewise simpler to see arrangements when written in a standard design and it thus helps in coherent reasoning.
For instance, Johan Widermann used both the '+' and '- ' signs in Mercantile Arithmetic (1489). Francois Viete (1591) was perhaps one of the first mathematicians to use letters in place of numbers and Thomas Harriot - the first mathematician to write completely symbolically.
The progression of arithmetical notation significantly affected numerical improvement during the Renaissance, because it makes mathematics more easy to understand and available.
Notwithstanding, recall that it was not broadly acknowledged until the start of nineteenth century.
