17th- This the century Pascal wrote a treatise on the subject of projective geometry known as Pascal Theorem. Pascal built a functional calculating machine, and he was a member of the Royal Society in London just like Leibniz. Talking about him Leibniz developed a complete theory of differential calculus and integral. Newton a great mathematician published the greatest scientific book ever, which is "Philosophiae Naturalis Principia Mathematica" (usually called simply the "Principia"), its considered to be among the most influential books in the history.
18th- The Bernoulli brothers Jacob and Johann was great mathematicians in this century. Jacob publish The Art of Conjecture which was on probability theory and expected values. He invented polar coordinates, and discovered the approximate value of the irrational number. His brother Johann derived the equations for catenary curves and ramps. There is one more in this period Euler is consider the greatest mathematician of all times, causes he cover all aspects of all mathematicians.
19th- The 19th Century saw an increase in the breadth and complexity of mathematical concepts. Napoleon practical usefulness of mathematics in this century, and his reforms and military ambitions gave French mathematics a big boost. Joseph Fourier's was in mathematician who study at the beginning of the 19th Century, of infinite sums in which the terms are trigonometric functions were another important advance in mathematical analysis.There was also a young German prodigy Carl Friedrich Gauss, sometimes called the “Prince of Mathematics”, his idea was ahead of their time they say.