Download PDF Elements of the Theory of Computation (2nd Edition)
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Elements of the Theory of Computation (2nd Edition)
Download PDF Elements of the Theory of Computation (2nd Edition)
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From the Back Cover
Lewis and Papadimitriou present this long awaited Second Edition of their best-selling theory of computation. The authors are well-known for their clear presentation that makes the material accessible to a a broad audience and requires no special previous mathematical experience. In this new edition, the authors incorporate a somewhat more informal, friendly writing style to present both classical and contemporary theories of computation. Algorithms, complexity analysis, and algorithmic ideas are introduced informally in Chapter 1, and are pursued throughout the book. Each section is followed by problems.
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Product details
Paperback: 384 pages
Publisher: Prentice-Hall; 2nd edition (August 17, 1997)
Language: English
ISBN-10: 0132624788
ISBN-13: 978-0132624787
Product Dimensions:
7 x 0.9 x 8.9 inches
Shipping Weight: 1.6 pounds (View shipping rates and policies)
Average Customer Review:
3.4 out of 5 stars
24 customer reviews
Amazon Best Sellers Rank:
#601,166 in Books (See Top 100 in Books)
I enjoyed this book because I enjoy formal mathematics. This is not an applications book, but a formal study of the mathematics that underly algorithmic design and analysis. I'm no math wizard, and I found this book readable (but I had to take it very slowly). The course for which I bought the book only covered chapters 1 - 4 and glossed over the final 3 chapters, but I intend to read the rest over the summer between semesters because it's so well and thoroughly written. This book is *dense*. I had to re-read everything three times before I absorbed it all, but ultimately I've understood everything I've read. The hardest parts to understand were the formal "proofs by induction" on the lengths of strings and sets - and, as any math student knows, you can gloss over the proofs on the first reading. A lot of the formal definitions (finite automata, pushdown automata, Turing machines, context-free grammars, etc.) baffled me on the first reading, but after reviewing the examples and working through a few problems, I could go back, re-read the formal definition and understand it.My principal complaint with this book, and the only reason I gave this book a four-star review instead of five, is the same complaint I have with a lot of other textbooks - there are no answers for any of the problems (nor can I find a supplement or a study guide or any help anywhere). Given the nature of the problems themselves, it's impossible to verify your answers. This seems to be a trend in textbooks, and it's extremely frustrating. I plan to self-study the last half of the book in the next few months, but without a self-study guide, I'm pretty much out of luck if I can't solve a problem.
Had some pencil marks around some of the problem sets, but otherwise in fine condition.
1)The book I got is having the headings in some other language along with English which isn't there in the original book.2)Also the size of the book is very small and the letter size in the book are very small which is not there in the original book.So I am not satisfied with this book.
Elements of the Theory of Computation, by Lewis and Papadimitriou, is something of a classic in the theory of computation. Of the many books I have used to teach the theory of computation, this is the one I have been most satisfied with. It covers all of the fundamental concepts one would expect in such a book (more on this below) but offers a bit more mathematical rigor than most other books I've seen on this topic. It also covers one topic that is rarely even mentioned in other textbooks: the composition of Turing machines.The book begins with a brief introduction to the relevant discrete mathematics (such as set theory and cardinality) and proof techniques, then introduces the concepts of finite automata, regular expressions, and regular languages, describing their interrelationships. It proceeds to context-free languages, pushdown automata, parse trees, pumping lemmas, Turing machines, undecidability, computational complexity, and the theory of NP-completeness. (These are all standard topics.) Along the way, Lewis and Papadimitriou also introduce random access Turing machines and recursive functions, and do a nice job of explaining the halting problem and how this translates into undecidable problems involving grammars, various questions about Turing machines, and even two-dimensional tiling problems. All of these topics are covered with an appropriate mix of formalism and intuition.Perhaps the feature I like best is the discussion of composing simple Turing machines to obtain more complex and interesting machines. The authors even introduce a convenient graphical notation for combining Turing machines and spell out specific rules for composition. While most authors are forced to immediately employ heuristics in reasoning about complex Turing machines (lest the notation become overwhelming), Lewis and Papadimitriou are able to keep the discussion more formal and structured by virtue of their Turing machine "schema". I believe this makes their arguments more rigorous and even easier to follow.This is clearly one of the best books on the theory of computation. However, be aware that there have been very significant changes from the first edition, which was lengthier and more thorough. I confess that I actually prefer the first edition, as it contains nice sections on logic and predicate calculus (which have been removed from the 2nd edition), and is a bit more formal (albeit with some fairly awful notation). The 2nd edition is definitely crisper, with much cleaner notation; it is clearly more student-friendly, which was presumably the aim of the new edition.If you wish to teach an introduction to theoretical computer science, or wish to learn it on your own, this would be a fine book to use. It's hard to go wrong with this classic.
I discuss the first edition- I havent read the updated version. People have strong opinions about this classic book. Many students have it forced upon them for a class and they absolutely despise it. But a small number of people like me loved it, in fact its still one of my favorite textbooks. I first learned automata and computation theory here (which explains some of my fondness for the book), and it seemed kind of dull and strange until about halfway through- at which point I realized it's all very cool and I subsequently poured over the entire book several times. To get through it you need to enjoy mathematics and careful, rigorous definitions and proofs- rather than viewing these things as pointless obscurantism or pedantic arrogance. Engineering students tend to find the book dense, boring, and too difficult. Some people are intimidated by the sheer volume of special notation used. But if you're inclined towards mathematics or theoretical work you'll appreciate the extra rigor and precision (compared to most computation theory books). There are a few rough spots in it (I admit the development of the Herbrand expansion theorem in the last chapter is a mess, and the coverage of parsing theory isn't great), and some of the terminology and approaches are a little nonstandard, but overall a great book that will give you the foundation to begin studying computational complexity theory, recursive function theory, or mathematical logic. Note that the second edition has removed the chapters on logic, and I've heard its watered down. If you want something a little harder and more pure-math oriented, try Martin Davis's Computability and Unsolvability.
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