1. Leonardo Pisa Bigollo Also known as Leonardo Fibonacci.
Born in Pisa, Italy, around115.
Some considered him the most talented mathematicians of he middle ages.
Best known to modern world for spending Hindi- Arabic.

2. Fibonacci’s father was a wealthy merchant who directed trading in Bugia, a part of eat Algers in North America
As a young boy Leonardo traveled with his father around North Africa and the Mediterranean to study under the leading arabic mathematicians of the time.

3. The reason Leonardo traveled around instead of studying in Europe was because he recognized that the Hindu-Arabic numeral system was more efficient than roman numerals.
Around 1200 BC he returned to Europe and began writing his book in 1202 BC at the age of32 he published “Liber Abaci” or also known as the book of calculations.
This book widely popularized the Hindu-Arabic system of numerals.

4. In his book Fibonacci introduces modus indourm method of the Indians, which today is known as arabic numerals.
The book advocated the practical importance of the numeral system, 0-9 digits place value, Lattia multiplication and Egyptian fractions.
He showed the practicality by applying modus indourm to bookkeeping calculation of interest and money changing.
Liber Abaci had a profound impact on educated Europe and European thought in general.

5. Because of his mathematical contribution, Pisa erected a statue of Leonardo, which still stands in the gallery of Camtosanto Piazza Pei Miracoli.

6. Brook Taylor Taylor as born on August 18, 1685 in Edmonson England.
His parents Olivia tempest, and John Taylor had a very stable financial condition.
Taylor was home tutored before going to college.
He attended St. Johns College in Cambridge
He was interested in Art and Music, but his first love was mathematics.

7. Taylor wrote a very important paper in college but was not published until in the Philosophical Transactions of the Royal Society.
Because of Taylor’s great expertise in math, he was elected as a member of the Royal Society by Machin and Keill.
In 1714 Brook Taylor became the secretary of the Royal Society.
He resigned from the demanding position after four years because of health issues.

8. In 1721 he married Miss Brydges they're marriage received strong criticism by Taylor’s father because her family was not wealthy.
In 1723 his wife died in childbirth along with the child.
He then married Sabetta Sawbridge in 1725.
In 1730 his second wife died also due to childbirth but his daughter survived.

9. Brook wrote two very significant books “Methodus incrementorum directa et inversa” and “Linear Perspective which were both published in 1715.
He added a new breach in mathematics known as the ‘Calculus of finite differences.
He was one to invent ‘Integration of Parts’ and also a series called the “Taylors Expansion”.

10. He is buried on London England in the Churchyard in St Anne’s, Soho
Brook Taylor was a great mathematician who passed away on November 1731 having given a great deal of knowledge to the world of mathematics.
He is buried on London England in the Churchyard in St Anne’s, Soho

11. Dame Mary Lucy Cartwright
Mary Cartwright was born on December 17, 1900.
She lived at Aynho, and was homeschooled until she was eleven.
Cartwright then attended Leamington High School.
It wasn’t until her later high school years that she was encouraged to to take more interest in mathematics.

12. Mary became one out of five women that was studying mathematics ay Oxford University in 1919.
She was badly dissapointed in her second year of mathematical moderations, when she has received second class honors instead of first, which was her goal.
Cartwright considered seriously for a long time giving up on mathematics, and going to history, but math was her first love so she went on to study more.
She graduated from oxford in 1923 with a first-class degree from her Final Honors.

13. After teaching she returned to Oxford in 1928 for her D.Phil.
She began to teach mathematics in Buchinghamshire for the fore the next four years.
After teaching she returned to Oxford in 1928 for her D.Phil.
In 1930 Mary was awarded with her D.Phil and her theses, “the zeros of integral functions of special types.”
This was published in two parts vol.1 was published in 1930, and vol.2 was published in 1931
By 1935, Cartwright had been appointed a Lecture of Mathematics at Cambridge.

14. She done this career until 1959 when she would then become a reader in the Thoery of Functions, this position would hold until her retirment.
She was known as an excellent supervisor of those students she accepted.
During Mary’s whole career she had writtin over 100 papers in classical analysis, related topological problems, and differental equations.
She made one of her most important contributions to the theory of functions, this became known as the Cartwrights theory.

15. By this time she was elected a fellow of the Royal Society.
Mary retired from Girton in 1969, but continued to teach as a visiting professor in Poland, America, and England.
By this time she was elected a fellow of the Royal Society.
She was appointed Dame of the British empire in 1970.
Mary Cartwright passed away in 1998.