Fibonacci is the name is most famously known by, but his real name is Leonardo of Pisa. Fibonacci was born in 1175 AD in Pisa, Italy. Having traveled all over the Mediterranean coast and growing up with a North African education, he was exposed to many different cultures and mathematical systems, and decided that he was most fond of the "Hindu-Arabic" system over all others he encountered.

One of his largest mathematical feats was introducing this number system in Europe, which focused on the ten digits with a decimal point, and the symbol for zero. Fibonacci wrote a book entitled Liber Abbaci which means "Book of Calculating". This book is what helped convince many Europeans to make the switch over to this new number system and way of thinking. It introduces all of the mathematical operations we are familiar with today, such as multiplication, division, addition and subtraction, with examples to demonstrate each concept.

In Liber Abbaci, we were also introduced to the "Fibonacci Numbers" through a problem that involved pairs of rabbits accumulating over one year. The concept of this mathematical problem, along with the solution and Fibonacci's explanation, have become quite famous and can be applied in other situations as well. Although Fibonacci is associated with the number series and the rabbit problem, he did not invent either of them.

Fibonacci also wrote a book called Book of Squares, which explores the idea that all numbers can be expressed as the sum of two, three or four square numbers.

Fibonacci died around 1240 AD, but his contributions to our mathematical world continue to be discussed in classrooms all over the world.

Ars Magna

Written by Girolamo Cardano in 1545, Ars Magna, was a signifcant achievement that influenced the way we think about algebra for hundreds of years to come. The book was said to contain the rules of algebra, and Cardano claimed that Ars Magna gave algebraic solutions for all equations with a degree less than or equal to four. The different chapters of the book focus on various aspects of mathematics, including linear and quadratic equations, basic techniques, transformation methods, cubic equations, methods for solving equations, The Rule of Three, and biquadratic equations.

Ars Magna features Cardano's Formula, which gives a solution to the equation (y^3) + py + q = 0.

Ars Magna was translated into an English version in 1968, and also has three different editions as well.

Nice historical backgrounds, but I don't think you can bring up the Ars Magna without some mention of the controversy over sources. (complete) Mention of Cardano's fantastic life is optional, though!
O/w very academic. How does this matter to you?

Reply

Leave a Reply.

Author

As you may already know from browsing my Weebly, I am a Math major! I love math. It is a universal language that we don't always agree upon, but we all know its power. I will use this blog to explore my relationship with math, and its relationship with the world around me.