Download Computational Complexity djvu

by Christos H. Papadimitriou

Author:	Christos H. Papadimitriou
Subcategory:	Hardware & DIY
Language:	English
Publisher:	Pearson; 1 edition (December 10, 1993)
Pages:	523 pages
Category:	Technologies and Computers
Rating:	4.6
Other formats:	doc lrf docx mbr

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FREE shipping on qualifying offers. This modern introduction to the Theory of Computer Science is the first unified introduction to Computational Complexity.

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Computational Complexity: A Modern Approach. The list of surprising and fundamental results proved since 1990 alone could ll a book: these include new probabilistic denitions of classical complexity classes (IP PSPACE and the PCP Theorems) and their implications for the eld of approximation algorithms; Shor’s algorithm to factor integers using a quantum computer; an understanding of why current approaches to the famous P versus NP will not.

Papadimitriou, Christos M. Computational complexity, by Christos H. Papadimitriou. This book is an introduction to the theory of computational complexity at a level appropriate for a beginning gr. uate or advanced undergraduate course. p. em. Includes bibliographical references and index. 1. Computational complexity. Computational complexity is the area of computer science that contemplates the reasons why some problems are so hard to solve by computers.

Computational Complexity - Christos Papadimitriou

Computational Complexity - Christos Papadimitriou. pdf - Free ebook download as PDF File . df), Text File . xt) or read book online for free. No book on complexity can be comprehensive now-certainly this one is not. It only contains results which I felt I could present clearly and relatively simply, and which I consider central to my point of view of complexity. At the risk of burdening the reader so early with a message that will be heard rather frequently and loudly throughout the book's twenty chapters, my point of view is this: I see complexity as the intricate and exquisite interplay between computation (complexity classes) and applications (that is, problems).

Computational Complexity book. This modern introduction to the Theory of Computer Science. Details (if other): Cancel.

Computational Complexity. Christos H. Develops all the necessary mathematical prerequisites from such diverse fields as computability, logic, number theory, combinatorics, and probability. DLC: Computational complexity.

Features First unified introduction to computational complexity. Integrates computation, applications, and logic throughout.

COMPUTATIONAL COMPLEXITY Christos H. Papadimitriou University of California - San Diego Addison Wesley Longman Reading, Massachusetts, Menlo Park, California, New York Don Mills, Ontario, Wokingham, England, Amsterdam, Bonn, Sydney Singapore, Tokyo, Madrid, Sa. . Papadimitriou University of California - San Diego Addison Wesley Longman Reading, Massachusetts, Menlo Park, California, New York Don Mills, Ontario, Wokingham, England, Amsterdam, Bonn, Sydney Singapore, Tokyo, Madrid, San Juan, Milan, Paris. ISBN 0-201-53082-1 1. E Koutsoupias, C Papadimitriou. Annual Symposium on Theoretical Aspects of Computer Science, 404-413, 1999. John Wiley and Sons Lt. 2003. Optimization, approximation, and complexity classes. CH Papadimitriou, M Yannakakis. Journal of computer and system sciences 43 (3), 425-440, 1991.

This modern introduction to the Theory of Computer Science is the first unified introduction to Computational Complexity. I+ offers a comprehensive and accessible treatment of the theory of algorithms and complexity - the elegant body of concepts and methods developed by computer scientists over the past 30 years for studying the pe@ormance and limitations of computer algorithms. The book is self-contained in that it develops all necessary mathematical prerequisites from such diverse fields such as computability, logic, number theory and probability.

Comments:

Flower

This is a good introductory book of computational theory for students in computer science, good juniors, seniors and first year graduates. The book is well presented, fit for self studies, and covered most contents of computability and complexity. The book is slightly old, some of the latest result are not included, e.g., a P-algorithm of solving "prime problem" was found in 2001. This book is not good for advanced researchers in theoretical computer science, it is way to shallow. Compared with Martin Davis's book, this is easier to understand, equally well presented. Be sure not to get the $8-9 version, that is not the book, although under the same title.

I am a research in theoretical algorithms.

Xarcondre

This book is excellent. However, you need strong training in the kind of reasoning used in math and CS theory before you can read it. The subject gets very abstract, and may be hard to follow (and that's not Papadimitriou's fault).

I would recommend it for people who have already read Sipser's book (working on the exercises), for example.

Moogura

explains the concepts well

Xirmiu

This is a great book on complexity theory at a graduate school level.
I would recommend this book to anyone interested in the field of complexity theory.

Nidora

[2016 review] Given the rapidity of technological development, the CS beginner may be surprised to learn that older textbooks contain much that is valuable: as with the rise of functional programming languages that derive their inspiration from Lisp, one of the first programming languages, there's a fair amount of "going back to the future". Christos Papadimitriou's *Computational Complexity* is a good illustration of this principle. Complexity theory is one of the most "scientific" parts of computer science, and with a $1 million prize (still) on offer for a solution to the P and NP problem there's no lack of attention to its basic concepts; recursive functions are well and good but if we want to do it on a computer, even a modern umpteen-core wonder, we need to be able to do it "fast". What budding computer scientists may lack is the logical background necessary to make sense of the complexity classes and what they mean for programming practice.

Papadimitriou is professor of logic at UC-Berkeley and a gifted expositor of logical concepts: he recently wrote the text for *Logicomix*, a graphic novel about the founding of modern logic in the early 20th century. What you will find in this decades-old text is the logic you need to understand computer science and the computer science you need to understand logic: not only the dedicated CS student, but philosophers and other people with "theoretical" interests in computational paradigms will benefit immensely from reading this (most "theory of computation" texts are designed to slingshot students into compiler construction and reinforce the principles of algorithms, so they leave out the negative result of the *Entscheidungsproblem* for first-order logic, the reason modern computation exists in the first place). The layout of the different complexity classes, beginning with the "tractable" P and going on into the well-named "complexity zoo", is explained in readable prose and understandable diagrams.

You need not be a genius to learn complexity from this book, only willing to be reflective about the principles of practices you know more "intuitively". Still relevant.

Shezokha

We used this book for one semester when I was in the graduate school. This is one of the computer science related books that actually have enough substance to have some intellectual value.

I found this volume entertaining years after leaving graduate school and working in the industry as an engineer. The topics addressed in this book is actually quite intriguing--the best time to reduce programming complexity is before one actually programs. I believe any serious programmer should be able to estimate the complexity, both space and time, on the algorithm he is designing.

In the real world, one does not encounter nontrivial algorithms very often, and from a practical perspective, this books is not quite useful.

However, when you really get bored, this is something that could entertain your brain a little.

saafari

A well-written book that teaches you how to think about complexity theory instead of just a flat summary of results. Something like Lewis and Papadimitriou's _Elements of the Theory of Computation_ would be more than enough preparation for this (note that the style of these books is quite different- this one is more informal and descriptive). Covers all the material you need in a first text. Has a good little introduction to mathematical logic in it, including a nice succinct version of Godels Incompleteness Theorem. Lots of interesting exercises.

Yes,it is generally "hard" for undergradute students even grad. students. If you are taking course "Theory of computation", I would like to recommend the Sipser's or Cohen's books for reading supplement. But you should keep reading this book ! IMO, this book covers so many topics, that it becomes too dense to read. It means you should read it carefully and slowly. For example, it introduces the "reduction" in some previous chapters but without precise defintion and therefore misses the more important part :how to do the reduction correctly and what is the "reseasonable" reduction ? You will find the concept of "reduction" is not very easy to catch if you refer to the Sipser's or Ullman's books. Many friends and me could not go through more than 20 pages of this book in the beginning. But we were keeping on reading and surveying some "easy books". Finally, we understood most half parts of this book. Moreover, if some readers prepare to study more advanced and recent topics, this book is the must.

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