Description
Book SynopsisAlgorithmics of Nonuniformity is a solid presentation about the analysis of algorithms, and the data structures that support them.
Traditionally, algorithmics have been approached either via a probabilistic view or an analytic approach. The authors adopt both approaches and bring them together to get the best of both worlds and benefit from the advantage of each approach.
The text examines algorithms that are designed to handle general datasort any array, find the median of any numerical set, and identify patterns in any setting. At the same time, it evaluates average performance, typical behavior, or in mathematical terms, the expectations of the random variables that describe their operations.
Many exercises are presented, which are essential since they convey additional
material complementing the content of the chapters. For this reason, the solutions are more than mere answers, but explain and expand
Table of Contents
1 Algorithmics 2 Counting: Tools and Strategies 3 Symbolic Calculus 4 Languages and Their Generating Functions 5 Probability in Algorithmics 6 Data Models 7 Sorting Nonuniform Data 8 Nonuniform Pólya Urn Schemes 9 Nonuniform trees
