02077cam a2200301 i 450000100090000000300060000900500170001500800410003201000170007302000180009004000280010804200080013605000230014408200230016708400560019010000270024624500830027326000490035630000450040550400670045052010100051765000260152765000250155365000510157865000490162965000470167865000500172517574030IIITD20140715173204.0121227s2013 njuab b 001 0 eng a 2012039523 a9780691156491 aDLCbengcDLCerdadDLC apcc00aQA267.7b.F67 201300a511.352223bFOR-G aCOM051300aMAT015000aMAT017000aMAT0340002bisacsh1 aFortnow, Lance,d1963-14aThe golden ticket :bP, NP, and the search for the impossible cLance Fortnow. aOxford :bPrinceton University Press,c1963. ax, 176 p :billustrations, maps ;c24 cm aIncludes bibliographical references (pages 165-169) and index. a"The P-NP problem is the most important open problem in computer science, if not all of mathematics. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. In this informative and entertaining book, Lance Fortnow traces how the problem arose during the Cold War on both sides of the Iron Curtain, and gives examples of the problem from a variety of disciplines, including economics, physics, and biology. He explores problems that capture the full difficulty of the P-NP dilemma, from discovering the shortest route through all the rides at Disney World to finding large groups of friends on Facebook. But difficulty also has its advantages. Hard problems allow us to safely conduct electronic commerce and maintain privacy in our online lives.The Golden Ticket explores what we truly can and cannot achieve computationally, describing the benefits and unexpected challenges of the P-NP problem"-- 0aNP-complete problems. 0aComputer algorithms. 7aCOMPUTERS / Programming / Algorithms.2bisacsh 7aMATHEMATICS / History & Philosophy.2bisacsh 7aMATHEMATICS / Linear Programming.2bisacsh 7aMATHEMATICS / Mathematical Analysis.2bisacsh