Computational Complexity: A Conceptual Perspective by Oded Goldreich (PDF)

Description

Complexity theory is a central field of the theoretical foundations of computer science. It is concerned with the general study of the intrinsic complexity of computational tasks; that is, it addresses the question of what can be achieved within limited time (and/or with other limited natural computational resources). This book offers a conceptual perspective on complexity theory. It is intended to serve as an introduction for advanced undergraduate and graduate students, either as a textbook or for self-study. The book will also be useful to experts, since it provides expositions of the various sub-areas of complexity theory such as hardness amplification, pseudorandomness and probabilistic proof systems. In each case, the author starts by posing the intuitive questions that are addressed by the sub-area and then discusses the choices made in the actual formulation of these questions, the approaches that lead to the answers, and the ideas that are embedded in these answers.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Goldreich’s book — though perhaps a little long-winded at times — is top-notch.-The chapters are sprinkled with eccentric literary quotes, and the writing style is more conversational than robotic.-The author explains the concepts and their utility/ the reasoning behind them, whereas all-too-often, mathematics books are written as towers of facts. It IS quite nice to read a mathematics textbook written by someone who actually reads literature/ fiction!-The material features his unique approach to understanding and teaching the theory, and does not simply rehash other textbooks.On the whole — and others may disagree — I prefer this book to Sipser’s, which I find lacking in rigor and precision. A well-written book.

⭐looking forward to read it

⭐The best book on complexity theory.

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