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Introduc)on	
  
Why	
  Study	
  
Algorithms?	
  
Design	
  and	
  Analysis	
  
of	
  Algorithms	
  I	
  
Tim	
  Roughgarden	
  
Why	
  Study	
  Algorithms?	
  
• important	
  for	
  all	
  other	
  branches	
  of	
  computer	
  science	
  
Tim	
  Roughgarden	
  
Why	
  Study	
  Algorithms?	
  
• important	
  for	
  all	
  other	
  branches	
  of	
  computer	
  science	
  
• plays	
  a	
  key	
  role	
  in	
  modern	
  technological	
  innova)on	
  
Tim	
  Roughgarden	
  
Why	
  Study	
  Algorithms?	
  
• important	
  for	
  all	
  other	
  branches	
  of	
  computer	
  science	
  
• plays	
  a	
  key	
  role	
  in	
  modern	
  technological	
  innova)on	
  
– “Everyone	
  knows	
  Moore’s	
  Law	
  –	
  a	
  predic)on	
  made	
  in	
  1965	
  by	
  Intel	
  
co-­‐founder	
  Gordon	
  Moore	
  that	
  the	
  density	
  of	
  transistors	
  in	
  integrated	
  
circuits	
  would	
  con)nue	
  to	
  double	
  every	
  1	
  to	
  2	
  years….in	
  many	
  areas,	
  
performance	
  gains	
  due	
  to	
  improvements	
  in	
  algorithms	
  have	
  vastly	
  
exceeded	
  even	
  the	
  drama)c	
  performance	
  gains	
  due	
  to	
  increased	
  
processor	
  speed.”	
  
• Excerpt	
  from	
  Report	
  to	
  the	
  President	
  and	
  Congress:	
  Designing	
  a	
  Digital	
  Future,	
  
December	
  2010	
  (page	
  71).	
  
Tim	
  Roughgarden	
  
Why	
  Study	
  Algorithms?	
  
• important	
  for	
  all	
  other	
  branches	
  of	
  computer	
  science	
  
• plays	
  a	
  key	
  role	
  in	
  modern	
  technological	
  innova)on	
  
• provides	
  novel	
  “lens”	
  on	
  processes	
  outside	
  of	
  
computer	
  science	
  and	
  technology	
  
– quantum	
  mechanics,	
  economic	
  markets,	
  evolu)on	
  
Tim	
  Roughgarden	
  
Why	
  Study	
  Algorithms?	
  
• important	
  for	
  all	
  other	
  branches	
  of	
  computer	
  science	
  
• plays	
  a	
  key	
  role	
  in	
  modern	
  technological	
  innova)on	
  
• provides	
  novel	
  “lens”	
  on	
  processes	
  outside	
  of	
  
computer	
  science	
  and	
  technology	
  
• challenging	
  (i.e.,	
  good	
  for	
  the	
  brain!)	
  
Tim	
  Roughgarden	
  
Why	
  Study	
  Algorithms?	
  
• important	
  for	
  all	
  other	
  branches	
  of	
  computer	
  science	
  
• plays	
  a	
  key	
  role	
  in	
  modern	
  technological	
  innova)on	
  
• provides	
  novel	
  “lens”	
  on	
  processes	
  outside	
  of	
  
computer	
  science	
  and	
  technology	
  
• challenging	
  (i.e.,	
  good	
  for	
  the	
  brain!)	
  
• fun	
  

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1.1-algo1-intro1.pdf

  • 1. Introduc)on   Why  Study   Algorithms?   Design  and  Analysis   of  Algorithms  I  
  • 2. Tim  Roughgarden   Why  Study  Algorithms?   • important  for  all  other  branches  of  computer  science  
  • 3. Tim  Roughgarden   Why  Study  Algorithms?   • important  for  all  other  branches  of  computer  science   • plays  a  key  role  in  modern  technological  innova)on  
  • 4. Tim  Roughgarden   Why  Study  Algorithms?   • important  for  all  other  branches  of  computer  science   • plays  a  key  role  in  modern  technological  innova)on   – “Everyone  knows  Moore’s  Law  –  a  predic)on  made  in  1965  by  Intel   co-­‐founder  Gordon  Moore  that  the  density  of  transistors  in  integrated   circuits  would  con)nue  to  double  every  1  to  2  years….in  many  areas,   performance  gains  due  to  improvements  in  algorithms  have  vastly   exceeded  even  the  drama)c  performance  gains  due  to  increased   processor  speed.”   • Excerpt  from  Report  to  the  President  and  Congress:  Designing  a  Digital  Future,   December  2010  (page  71).  
  • 5. Tim  Roughgarden   Why  Study  Algorithms?   • important  for  all  other  branches  of  computer  science   • plays  a  key  role  in  modern  technological  innova)on   • provides  novel  “lens”  on  processes  outside  of   computer  science  and  technology   – quantum  mechanics,  economic  markets,  evolu)on  
  • 6. Tim  Roughgarden   Why  Study  Algorithms?   • important  for  all  other  branches  of  computer  science   • plays  a  key  role  in  modern  technological  innova)on   • provides  novel  “lens”  on  processes  outside  of   computer  science  and  technology   • challenging  (i.e.,  good  for  the  brain!)  
  • 7. Tim  Roughgarden   Why  Study  Algorithms?   • important  for  all  other  branches  of  computer  science   • plays  a  key  role  in  modern  technological  innova)on   • provides  novel  “lens”  on  processes  outside  of   computer  science  and  technology   • challenging  (i.e.,  good  for  the  brain!)   • fun