E, I, and Pi: Key Numbers in Mathematics

Pi constant
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Mathematics is a field of human exploration and discovery, where abstract thought meets practical reality head on. This has resulted in countless equations, numerous in-depth forms of study (such as algebra, geometry, calculus, statistics, topology, homology, and so forth), and the creation or discovery of numbers with very specific mathematical numbers. Here are the most fascinating numbers in math.

Pi is the best known of the fascinating numbers. Many even have the first portion of this sequence (3.14159) committed to memory. Pi has more practical application than almost any other single irrational number, and is used for calculations involving abnormally shaped or round objects. This makes it fundamental in modern engineering.

The number known as “e” is named after the Leonhard Euler, who originally discovered it. This number has vast implications in modern business and investment, as well as growth mathematics. The irrational number e begins with 2.718, and represents the maximum end result for an item that grows off of its own gains.

Let’s take a simple example of what this means and how it applies. Let’s say that you invested a thousand dollars in a banking institution, and their growth rate allowed that thousand dollars to become two thousand dollars over the course of twelve months. Leaving it there for twelve months is insufficient, however, for maximum results. Simply withdrawing it after six months and immediately redepositing the new amount, for example, would increase your end total by $250. E is the top result possible here. In this case, it would mean $2718 after a year, with appropriate deposits and withdrawals.

The final number we will discuss today is the number i, or the symbol for the square root of negative one. This number began seeing use in the 1800s as different physical phenomena were being analyzed for their complex mathematical properties. The math behind electricity and electric circuits, dampening fields, flowing fluid, object resilience, and more are best understood through imaginary numbers. Even in study where i is not strictly necessary, it can be used to dramatically simplify bulky or complicated problems.

Who is Leonardo Fibonacci?

Evolutions of Arabic Numerals
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Leonardo Fibonacci was an Italian Mathematician. He was born in the year 1170. Fibonacci is generally recognized as the most talented mathematician of the Middle Ages. He has the distinct achievement of having a profound impact on Western civilization that lasts until today. Prior to Fibonacci’s work, Europeans used the roman numeral system. Can you imagine doing long division or fractions with roman numerals?

How did Fibonacci come up with the zero to nine number system? The short answer is he travelled and learned. Fibonacci’s travels took him throughout the Mediterranean world to study under Arab mathematicians. The young Fibonacci recognized that arithmetic with Hindu-Arabic numerals was infinitely more efficient and a lot more elegant than with Roman numerals.

At the age of 32, Fibonacci published the mathematics lessons he had learned in a treatise called the Book of Abacus, also known as the Book of Calculation. This is how Hindu-Arabic numerals came to Europe in the twelfth century and this number system has stayed with us until this day.

Fibonacci’s book does an exposition of place value with the new number system. The book is not so much a theoretical work but also goes into the practical uses of the Hindu-Arabic numeral system. The book introduces to the West the concept of long multiplication using a lattice framework and also introduces the use of fractions. He showed how the number system could be used for commercial bookkeeping. The book has examples of how to convert weights and other measures. This work written in the middle ages goes so far as to discuss how to compute interest and other practical applications. Needless to say, Fibonacci’s book became a masterpiece. Fibonacci’s Book of Calculation is widely recognized as having had a profound impact on European thought.

Fibonacci is also credited with introducing to western thought the Fibonacci sequence. This is a sequence of numbers that has a pattern that recurs in many of nature’s designs. Historical records show that the Fibonacci number sequence was known to Indian mathematicians since the sixth century.

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