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15 October 2003Computer Science1 David Evans ComputerScience.

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1 15 October 2003Computer Science1 David Evans http://www.cs.virginia.edu/evans ComputerScience

2 15 October 2003Computer Science2 What is Computer Science?

3 15 October 2003Computer Science3 Let AB and CD be the two given numbers not relatively prime. It is required to find the greatest common measure of AB and CD. If now CD measures AB, since it also measures itself, then CD is a common measure of CD and AB. And it is manifest that it is also the greatest, for no greater number than CD measures CD. Euclid’s Elements, Book VII, Proposition 2 (300BC)

4 15 October 2003Computer Science4 The note on the inflected line is only difficult to you, because it is so easy. There is in fact nothing in it, but you think there must be some grand mystery hidden under that word inflected! Whenever from any point without a given line, you draw a long to any point in the given line, you have inflected a line upon a given line. Ada Byron (age 19), letter to Annabella Acheson (explaining Euclid), 1834

5 15 October 2003Computer Science5 What is the difference between Euclid and Ada? “It depends on what your definition of ‘is’ is.” Bill Gates (at Microsoft’s anti- trust trial)

6 15 October 2003Computer Science6 Geometry vs. Computer Science Geometry (mathematics) is about declarative knowledge: “what is” If now CD measures AB, since it also measures itself, then CD is a common measure of CD and AB Computer Science is about imperative knowledge: “how to” –About “computing” not “computers” –An unnatural science

7 15 October 2003Computer Science7 “How to” knowledge: Ways of describing imperative processes (computations) Ways of reasoning about (predicting) what imperative processes will do Language Logic

8 15 October 2003Computer Science8 Science? Understanding Nature through Observation –About real things like bowling balls, black holes, antimatter, electrons, comets, etc. Math and Computer Science are about fake things like numbers, graphs, functions, lists, etc. –Computer Science is a useful tool for doing real science, but not a real science

9 15 October 2003Computer Science9 Engineering? “Engineering is design under constraint… Engineering is synthetic - it strives to create what can be, but it is constrained by nature, by cost, by concerns of safety, reliability, environmental impact, manufacturability, maintainability and many other such 'ilities.'...” William Wulf

10 15 October 2003Computer Science10 Computing Power 1969-2002 (in Apollo Control Computer Units) Moore’s Law: computing power doubles every 18 months! If Apollo Guidance Computer power is 1 inch, you have 5 miles! (1GB/4KB = 262144)

11 15 October 2003Computer Science11 Constraints Computer Scientists Face Not like those for engineers: –Cost, weight, physics, etc. –If 8 Million times what NASA had in 1969 isn’t enough for you, wait until 2007 and you will have 32 Million times… More like those for Musicians and Poets: –Imagination and Creativity –Complexity of what we can understand –Cost of human effort

12 15 October 2003Computer Science12 So, what is computer science? Science –No: its about fake things like numbers, not about observing and understanding nature Engineering –No: we don’t have to deal with engineering- type constraints Must be a Liberal Art!

13 15 October 2003Computer Science13 The Liberal Arts Trivium (3 roads) language Quadrivium (4 roads) numbers GrammarRhetoricLogicArithmetic Geometry Music Astronomy

14 15 October 2003Computer Science14 Liberal Arts Grammar: study of meaning in written expression Rhetoric: comprehension of verbal and written discourse Logic: argumentative discourse for discovering truth Arithmetic: understanding numbers Geometry: quantification of space Music: number in time Astronomy: laws of the planets and stars Yes, we need to understand meaning to describe computations Interfaces between components, discourse between programs and users Logic for controlling and reasoning about computations Yes Yes (graphics) Yes (read Gödel, Escher, Bach) Yes, read Neil DeGrasse Tyson’s essay Trivium Quadrivium

15 15 October 2003Computer Science15 Research at UVa Many students involved in Research groups here –1 st year is not too early! Selected active areas: –Security (Cryptosystems, Survivability) –Software (Dependability, Analysis) –Graphics –Networking (Wireless, Sensor networks) –See http://www.cs.virginia.edu/research/

16 15 October 2003Computer Science16 Any Questions?


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