the book "Randomized Algorithms " Introduction

本书由斯坦福大学教授Rajeev Motwani和IBM Thomas J. Watson Research Center的Prabhakar Raghavan合著,旨在介绍随机算法的设计与分析基本概念。全书分为两大部分,第一部分探讨概率论和概率分析的基本工具,通过具体实例展示其在算法中的应用;第二部分深入研究随机算法在数据结构、几何、图论、数论、计数、并行和在线算法领域的应用。本书为研究人员、专业程序员及学生提供了宝贵的资源。

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the book "Randomized Algorithms " Introduction

"Randomized Algorithms"'s author are :Rajeev Motwani(Stanford University's professor) and Prabhakar Raghavan(IBM Thomas J. Watson Research Center).

and can see the biographic information about  Rajeev Motwani at site: http://theory.stanford.edu/~rajeev/, all thanks to give them two both.

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the introduce of this book

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For many applications a randomized algorithm is either the simplest algorithm available, or the fastest, or both. This tutorial presents the basic concepts in the design and analysis of randomized algorithms. The first part of the book presents tools from probability theory and probabilistic analysis that are recurrent in algorithmic applications. Algorithmic examples are given to illustrate the use of each tool in a concrete setting. In the second part of the book, each of the seven chapters focuses on one important area of application of randomized algorithms: data structures; geometric algorithms; graph algorithms; number theory; enumeration; parallel algorithms; and on-line algorithms. A comprehensive and representative selection of the algorithms in these areas is also given. This first book on the subject should prove invaluable as a reference for researchers and professional programmers, as well as for students.

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the content of this book

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Table of Contents

Part I. Tools and Techniques:
1. Introduction
2. Game-theoretic techniques
3. Moments and deviations
4. Tail inequalities
5. The probabilistic method
6. Markov chains and random walks
7. Algebraic techniques
Part II. Applications:
8. Data structures
9. Geometric algorithms and linear programming
10. Graph algorithms
11. Approximate counting
12. Parallel and distributed algorithms
13. Online algorithms
14. Number theory and algebra
Appendix A: notational index
Appendix B: mathematical background
Appendix C: basic probability theory.


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Excerpt of this book in PDF

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you can search it in my resources

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