Modern Cryptography, Probabilistic Proofs and Pseudorandomness / Edition 1

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The book focuses on three related areas in the theory of computation. The areas are modern cryptography, the study of probabilistic proof systems, and the theory of computational pseudorandomness. The common theme is the interplay between randomness and computation. The book offers an introduction and extensive survey to each of these areas, presenting both the basic notions and the most important (sometimes advanced) results. The presentation is focused on the essentials and does not elaborate on details. In some cases it offers a novel and illuminating perspective. The reader may obtain from the book 1. A clear view of what each of these areas is all above. 2. Knowledge of the basic important notions and results in each area. 3. New insights into each of these areas. It is believed that the book may thus be useful both to a beginner (who has only some background in the theory of computing), and an expert in any of these areas.

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Editorial Reviews

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"This book is intended for a reader with some knowledge of the theory of computing. It is divided into three chapters, each a survey of one of the topics mentioned in the title. The chapters may be read independently, and are somewhat different in nature. ...The book ends with four appendices. The first summarises the probability theory, complexity theory and cryptography that is used in the body of the book. The second gives examples of randomisation in algorithmic problems, complexity theory and distributed computing. The third contains two proofs, not to be found in the literature, of well-known results. The last appendix lists other surveys by the author." (Simon R. Blackburn, Mathematical Reviews)

"Modern cryptography, probabilistic proofs and pseudorandomness are three areas in theoretical computer science that demonstrate the interplay between randomness and computations. … This book is informative and rich in content. … the most appealing feature of this book is that it leans toward the intuition and historical motivations around these topics. … it is an excellent resource for students and researchers … . this book will probably give you a good collection of background motivations and nice discussions as well." (Andrew C. Lee, SIGACT News, Vol. 34 (4), 2003)

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Product Details

  • ISBN-13: 9783540647669
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 12/4/1998
  • Series: Algorithms and Combinatorics Series, #17
  • Edition description: 1999
  • Edition number: 1
  • Pages: 183
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.50 (d)

Table of Contents

1 The Foundations of Modern Cryptography 1
2 Probabilistic Proof Systems 39
3 Pseudorandom Generators 73
A Background on Randomness and Computation 107
B Randomized Computations 125
C Two Proofs 145
D Related Surveys by the Author 157
Bibliography 159
Index 179
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