Any activity that utilizes computers to manage, process, and communicate information.
Computing
Early Civilizations
Islam, Babylonians, Egyptians, Romans, Greeks (I.B.E.R.G)
Thrived in Mesopotamia (Iraq) 2000BC to 500BC.
• Clay Cuneiform Tables
• Counting Boards
Babylonians
Contain tables for various mathematical operations such as basic arithmetic operations,cubes, and square roots.
Clay Cuneiform Tables
assist with counting and simple calculations. Similar with Abacus.
Counting Boards
Measuring time, messuring floods, calculating land area/taxes.
• Base 10 number system
• Rhind Papyrus
Egyptians
Base 10 number system
symbols for one(line), ten(loop), hundred(rope), thousand(flower), tenthousand(finger), hundredthousand(tadpole).
writing surface like paper. Includes all types of arithmetic and geometric problems. Helps students in Pharaoh building program.
Rhind Papyrus
Works by Pythagoras and Thales centered on Geometry were 2 of the most remarkable contributions to early greek mathematics.
Greeks
Philosopher and Mathematician. Spent time in Egypt to become familiarized with Egyptian Mathematics.
- has a secret society known as Pythagoreans
- Pythagorean theorem credited. Babylonians aware 1000 years before
Pythagoras
Secret society of comprised men and women who believed in transmigration of souls, and number is an essense of all things.
Pythagoreans
Theorem on Eucledian Geometry. It states that if A, B, and C are points on a
circle, where the line AC is the circle’s diameter, then the angle <ABC is a right angle.
Thales
Influenced by Greek culture and Mathematics. Most considerable contributions in computing—The Roman Number System.
• Roman Numerals - uses letters to symbolize numbers. Abacus was often used for calculation cuz too hard
Romans
Islamic Influence
originated in islamic world
Mathematicians and scholars—North Africa,MidEast,Spain.
• Islamic Contribution to algebra—continuation of the achievements of Greek civilization.
• A comprehensive Theory was developed—used rational and irrational nums as algebraic objects.
• Islamic scholars applied algebra to arithmetic and geometry
Notable Figures in Computing
• Willhelm Gottfried Leibniz (Step Reckoner)
• Charles Babbage (Difference Engine)
- Ada Lovelace (first computer programmer)
- George and Edward Scheutz (built first working Difference engine 1853)
• George Boole (Symbolic Logic)
• Grace Brewster Murray Hopper (COBOL)
• Katherine Johnson (Human Computer)
• Gladys Mae West (GPS)
Willhelm Gottfried Leibniz (Step Reckoner)
Charles Babbage (Difference Engine)
used to produce mathematical tables to compute Polynonial, Logarithmic and Trigonometric functions—sine,cosine (1821)
Difference Engine
Performs: Basic Arithmetic and extraction of roots. First Calculator to run the basic arithmetic operations.
(1672 - 1964)
Step Reckoner
An analyst working for Charles Babbage’s Difference Engine, and considered the “The First Computer Programmer” by many.
Ada Lovelace
Built the first working Difference Engine in 1853
Swedish engineers George and Edward Schuetz
Who developed Boolean Algebra, the foundation for modern computing?
George Boole.
What is the title of Boole’s 1847 work that enhanced the idea of a logical method?
The Mathematical Analysis of Logic.
What did Boole argue about the study of logic?
He argued that logic should be a separate branch of mathematics, not just philosophy.