# Chapter8 - 8 Eat Drink and Be Merry Banking Leonardo Fibonacci(around 1250 brought the Arabic numerical system back from North Africa and the

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1 8. 8. - Eat, Drink, and Be Merry Eat, Drink, and Be Merry z Banking: Leonardo Fibonacci (around 1250) brought the Arabic numerical system back from North Africa and the double-entry book keeping appeared (accounting). By 1470, 32 separate banks in Florence alone. z War: In 1476, Charles duke of Burgundy knights lost to the Swiss’ mass infantry who used the pike phalanx formation (a giant porcupine). First time that happened. z The new Swiss method was cheap. War became cheap. Armies grew and for the next 200 years the pikeman were present in the battlefields. z The pikemen were invincible until the firearm was invented. First: rudimentary, heavy, and dangerous to use (pg 224). In 1521 when Spain introduced the musket: smaller, easy to handle. In 1690 the bayonet appeared. Fibonacci Series and the Golden Ratio: If the name Fibonacci sounds familiar is because it has been thrown around lately. The movie “The da Vinci Code” made reference to the Fibonacci series. In this series each term is obtained by adding the last two: 1,1,2,3,5,8,13,21,34,55… This is a series that has a large number of applications and characteristics. One of them is its relationship to a number known since ancient Greece: the Golden Ratio ϕ = 1.618… ϕ can be obtained by dividing two consecutive number in the Fibonacci series as the series becomes larger. For example: 55/44=1.618. Several examples of the presence of in nature, art, music, etc. can be found at: http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html Roman Numerals: The base for the roman numerical system consists of the following symbols: I=1;V=5; X=10; L=50; C=100; D=500; M=1,000. Other numbers can be formed by combining these characters. There are

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## This note was uploaded on 06/08/2011 for the course SMT 310 taught by Professor Staff during the Summer '08 term at CSU Dominguez Hills.

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Chapter8 - 8 Eat Drink and Be Merry Banking Leonardo Fibonacci(around 1250 brought the Arabic numerical system back from North Africa and the

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