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With version 7 of Java, Oracle replaced its tried and tested sorting algorithm in the Java runtime library by an entirely new Quicksort variant proposed by Vladimir Yaroslavskiy. The decision to change the sorting method was based on empirical studies showing that the new algorithm is faster than the formerly used classic Quicksort. Surprisingly, this improvement is achieved with a dual-pivot approach-an idea considered not promising by theoretical studies in the past. In this book, we try to shed some light on the unexpected success by mathematically analyzing the new algorithm's...

"This is without question the best PhD thesis that I have read since the 1970s.
Its coverage is breathtaking." Robert Sedgewick

Quicksort is the fastest general-purpose sorting method in practice and a showcase for the paradigms of the mathematical analysis of algorithms: it can occasionally be very slow, but is almost always extremely fast, and its typical performance can be computed very accurately in
a mathematical model. It is a distinctive feature of computer science that such mathematical models describe many phenomena precisely because we know how our...