The discrepancy method has produced the most fruitful line of attack on a pivotal computer science question: What is the computational power of random bits? It has also played a major role in recent developments in complexity theory. This book tells the story of the discrepancy method in a few succinct independent vignettes. The chapters explore such topics as communication complexity, pseudo-randomness, rapidly mixing Markov chains, points on a sphere, derandomization, convex hulls and Voronoi diagrams, linear programming, geometric sampling and VC-dimension theory, minimum spanning trees, circuit complexity, and multidimensional searching. The mathematical treatment is thorough and self-contained, with minimal prerequisites. More information can be found on the book's home page at http://www.cs.princeton.edu/~chazelle/book.html.
1111440176
The Discrepancy Method: Randomness and Complexity
The discrepancy method has produced the most fruitful line of attack on a pivotal computer science question: What is the computational power of random bits? It has also played a major role in recent developments in complexity theory. This book tells the story of the discrepancy method in a few succinct independent vignettes. The chapters explore such topics as communication complexity, pseudo-randomness, rapidly mixing Markov chains, points on a sphere, derandomization, convex hulls and Voronoi diagrams, linear programming, geometric sampling and VC-dimension theory, minimum spanning trees, circuit complexity, and multidimensional searching. The mathematical treatment is thorough and self-contained, with minimal prerequisites. More information can be found on the book's home page at http://www.cs.princeton.edu/~chazelle/book.html.
74.0
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5
1
The Discrepancy Method: Randomness and Complexity
494
The Discrepancy Method: Randomness and Complexity
494Paperback(New Edition)
$74.00
74.0
In Stock
Product Details
| ISBN-13: | 9780521003575 |
|---|---|
| Publisher: | Cambridge University Press |
| Publication date: | 01/14/2002 |
| Series: | Randomness and Complexity |
| Edition description: | New Edition |
| Pages: | 494 |
| Product dimensions: | 5.98(w) x 9.02(h) x 1.06(d) |
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