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e-Book The Art of Computer Programming, Volume 4, Fascicle 3: Generating All Combinations and Partitions epub download

e-Book The Art of Computer Programming, Volume 4, Fascicle 3: Generating All Combinations and Partitions epub download

Author: Donald E. Knuth
ISBN: 0201853949
Pages: 160 pages
Publisher: Addison-Wesley Professional; 1 edition (August 5, 2005)
Language: English
Category: Programming
Size ePUB: 1255 kb
Size Fb2: 1973 kb
Size DJVU: 1661 kb
Rating: 4.2
Votes: 873
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Subcategory: Technologies

e-Book The Art of Computer Programming, Volume 4, Fascicle 3: Generating All Combinations and Partitions epub download

by Donald E. Knuth



This booklet is Fascicle 3 of The Art of Computer Programming, Volume 4: Combinatorial Algorithms

This booklet is Fascicle 3 of The Art of Computer Programming, Volume 4: Combinatorial Algorithms. As explained in the preface to Fascicle 1 of Volume 1, I'm circulating the material in this preliminary form because I know that the task of completing Volume 4 will take many years; I can't wait for people to begin reading what I've written so far and to provide valuable feedback.

Start by marking The Art of Computer Programming, Volume 4, Fascicle 3. .Art of Computer Programming (1 - 10 of 15 books). Books by Donald Ervin Knuth.

Books by Donald Ervin Knuth.

The Art of Computer Programming (TAOCP) is a comprehensive monograph written by computer scientist Donald Knuth that covers many kinds of programming algorithms and their analysis

The Art of Computer Programming (TAOCP) is a comprehensive monograph written by computer scientist Donald Knuth that covers many kinds of programming algorithms and their analysis. Knuth began the project, originally conceived as a single book with twelve chapters, in 1962. The first three volumes of what was then expected to be a seven-volume set were published in 1968, 1969, and 1973. Work began in earnest on Volume 4 in 1973, but was suspended in 1977 for work on typesetting.

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Start by marking The Art of Computer Programming, Volume 4, Fascicle 3.

Volume 5 won't be near completion until 2015, unless he cribs most of it from Jewels in Stringology. b) I have a number of tough combinatorial automata I'm frankly unable to analyze with my current techniques.

Volume 4, Fascicle 3 This fascicle continues Knuth's authoritative chapter on combinatorial algorithms, ultimately to be included in Volume 4 of The Art of Computer Programming. In Knuth's thorough discus. Finally, after a wait of more than thirty-five years, the first part of Volume 4 is at last ready for publication.

Finally, after a wait of more than thirty-five years, the first part of Volume 4 is at last ready for publication. The Art of Computer Programming, Volumes 1-4A Boxed Set, 3/e. ISBN: 0321751043.

Author: Donald E. Knuth. Citation Count: 44 · Downloads (cumulative): n/a · Downloads (12 Months): n/a · Downloads (6 Weeks): n/a.

The Art of Computer Programming, Volumes 1-4A Boxed Set, 3/. This fascicle continues Knuth's authoritative chapter on combinatorial algorithms, ultimately to be included in Volume 4 of The Art of Computer Programming

The Art of Computer Programming, Volumes 1-4A Boxed Set, 3/e. This fascicle continues Knuth's authoritative chapter on combinatorial algorithms, ultimately to be included in Volume 4 of The Art of Computer Programming.

Finally, after a wait of more than thirty-five years, the first part of Volume 4 is at last ready for publication. Check out the boxed set that brings together Volumes 1 - 4A in one elegant case, and offers the purchaser a $50 discount off the price of buying the four volumes individually.

The Art of Computer Programming, Volumes 1-4A Boxed Set, 3/e

ISBN: 0321751043

Art of Computer Programming, Volume 4, Fascicle 3, The: Generating All Combinations and Partitions: Generating All Combinations and Partitions

This multivolume work on the analysis of algorithms has long been recognized as the definitive description of classical computer science.The three complete volumes published to date already comprise a unique and invaluable resource in programming theory and practice. Countless readers have spoken about the profound personal influence of Knuth's writings. Scientists have marveled at the beauty and elegance of his analysis, while practicing programmers have successfully applied his “cookbook” solutions to their day-to-day problems. All have admired Knuth for the breadth, clarity, accuracy, and good humor found in his books.

To begin the fourth and later volumes of the set, and to update parts of the existing three, Knuth has created a series of small books called fascicles, which will be published at regular intervals. Each fascicle will encompass a section or more of wholly new or revised material. Ultimately, the content of these fascicles will be rolled up into the comprehensive, final versions of each volume, and the enormous undertaking that began in 1962 will be complete.

Volume 4, Fascicle 3

This fascicle continues Knuth's authoritative chapter on combinatorial algorithms, ultimately to be included in Volume 4 of The Art of Computer Programming. The previous fascicle from Volume 4, which covered the generation of all tuples and permutations, is now complemented by techniques for generating all combinations and partitions. In Knuth's thorough discussion of these two topics, readers will find much that is new, as well as surprisingly rich ties to material in Volumes 1 through 3 and to other aspects of computer science and mathematics. As usual, this fascicle includes a bounty of creative exercises, as well as intriguing challenges posed by yet-unsolved questions.

Phalaken
You might be wondering if the fascicle series is still worth getting, given the whole series has now been updated in a single text here: The Art of Computer Programming, Volume 4A: Combinatorial Algorithms, Part 1.

The answer is: it depends on whether you have a specific area of combinatorics you're interested in (example: Fascicle 0 is great for logic gates and hence circuit designers), or if you're interested in the entire area of combinatorics and all 5 fascicles (0-4).

All 5 are essentially covered in the 2011 book above, with some corrections and deletions. Don't be fooled by the "part 1" because this series can be confusing. Go to Dr. Knuth's website to see the entire map of current and planned volumes and editions, including this series in .pdf: just Google/Bing Knuth website art of programming and click on the dot cs dot faculty dot stanford link for the series.

As you'll see on the site, part 1 (if the Dr's health holds out) has now been expanded with additional draft fascicles, especially in the essentially uncovered area of stochastic combinatorics. Probability wasn't even applied to computational combinatorics yet in the 60's, so this is not a flaw in Doc Knuth's coverage! There is a 4B, 4C, 4D etc. planned, mostly expanding recursion, statistics and other new areas of combinatorics.

Great self study intro to everything computational complexity, as combinatorics greatly pushes the "big O" computing envelope, and the talented Doc Knuth even weighs in on P/NP. Many examples given with mem counts that are up to date. Areas not covered include parallel and objective/constraint combos, such as linear programming, but there are tons of dedicated texts on those out there. Nothing comes close to Dr. Knuth's approach, especially for self study, given the astonishing volume of problems and solutions included. In one form or another, must have for all programmers.
PanshyR
Donald Knuth has always been one of my favorite computer science author. I hope that his published works remain available to the computer science community forever.
Zepavitta
good for math/comp sci people
Grotilar
these books are really my career collections
Eayaroler
First, the brevity. This book nominally contains 160 pages - take off a few for indicia and intro, and it's down to 150. Of those, page 87 and up are all "answers to exercises" - not really part of the exposition. Then, within those 86 pages, about 30 are exercises. Although helpful to the involved reader, they aren't direct exposition either.

The 50 or 60 pages left are good, though. They present the combinatorial content in deep detail, even if breadth sometimes seems to suffer. Proofs and analyses are thorough, but become lengthy and require fair bits of calculus. These discussions range across the width of contemporary math and the length of its last few generations of history.

That leaves the algorithms - a few good ones, but only a few. If you came to this as a cut-and-paster, you won't find much to take home. On the whole, it's a worthy addition to "The Art" and to the collection that makes up Volume 4. For many, however, it won't be the hardest-working reference on the shelf.

-- wiredweird
Anicasalar
Only an author as smart and well known in his field as Donald Knuth would have tried this unusual format, which he terms a fascicle. In this third little book, he gives another extensive preview of his eventual fourth volume of "The Art of Computer Programming". When it finally appears, this volume is expected to span several books. In the interim, you will have to be content with these fascicles.

Even though this book is so slender, it is chock-a-block with tidbits, in the style of the first three volumes. Thus you can find out about a binomial tree, or even an infinite binomial tree. Or see how the Gray binary code also arises in the context of combinations.

An elegant aspect of this book is how Knuth ties in the discrete math of combinations with calculus applications. Quite often, these are two different worlds of maths, with different practitioners. Knuth uses the example of the varied properties of Bell numbers. Specifically, the rate at which these grow can be estimated by complex residues and saddle point analysis. Surprising results!