All three volumes of The Art of Computer Programming (TAOCP), are classic. Each is a book that every CS student should try to study diligently reimplementing example after example. Not many will succeed to finish even a half of one volume, but if you do please buy all three of them and think about post-graduate studies :-).

I think the most important is to study the Vol 1. It gives enough exposition to the Donald Knuth style and brilliant thinking. While the content is definitely important it is the level of thinking of the author that represents the main value of the book: you instantly understand the book was written by a great scientist and it does not matter much that now the contents of most chapters can be significantly improved using more modern sources. After all Vol 1 is more then a 30 years old book (it is older then Unix) and as such it should be outdated (we all believe in progress, don't we)... And it is not surprising that parts of Vol 1 on of TAOCP today look completely out of touch with reality especially MIX, the CPU instruction set that is used in all volumes.

Actually MIX instruction set (and thus assembler) was outdated even when the book was first published and more reflects unique Knuth's background with IBM 650. It was far from the state of hardware development even in late 60th when the first volume was published, the period when IBM/360 was the king of the hill.

Now IBM 650, a 1,966 lb machine that consumed almost 30 Kw of electricity looks more like a primitive calculator than a real computer: typical installation has the memory of just 10,000 decimal digits ( 1,000 words; 10 digit per word).

It's really sad that Knuth did not adopt System 360 architecture and PL/360 assembler (Wirth's structured assembler for S/360) for his books but we can do nothing about it. Still this is a book about timeless truths, not the book about the resent CS fashion like Java or you name it :-). It actually can serve as a perfect antidote against any current CS fashion.

And Knuth does provide pseudocode with his natural language algorithm description. And natural language pseudocode has an important advantage over 'structured pseudocode. The problem with a "structured pseudocode" is that the set of control structures is fixed and may not reflect the needs of a particular algorithms (branching out of loop is a common problem that is not addressed by structured programming well). Moreover it can cripple the algorithm by enforcing unnatural control structures, the structures that are absent in it but might be present in more modern languages. For example Perl has an interesting set of control structures that is superior to C. But even "Perl control structures set" can be improved further.

That's why assembler language is preferable: it never obscures "natural" control structures for each algorithms, structures that one day can be mapped into some new elegant language construct. Also as one review noted "sometimes high level languages with all their abstractions make things look more complex than they need be."

I would like to stress it again that each volume is very difficult to read; you really need to work on each chapter by reimplementing the examples that Knuth gives in your favorite language (assembler might help but is not essential).

Mathematical considerations as for average and worst running time of a particular algorithm can be largely ignored during the first couple of years of study of this book. Actually most mathematics in Vol. 1 can (and probably should) be initially completely ignored. See Softpanorama Classic Computer Books for more information.

On the negative side this is an overpriced book, if we are talking about students budget. To save money you can buy one of the first editions: there is not that much difference in content to justify the differences in price. The differences do not interfere with the study of the book. Knuth did an excellent work the first time he published each volume and for a significant improvement we probably need another century and another person.

What can I say? This book is a classic, but be ready to test your math skills.

This book is one of the hardest comp-sci books I've tried to go through. Like anything else in life, what you put into this book is what you get out of it. It can go a little over my head from time to time, but really, that's a good thing. You'll never learn to swim if you stand in the shallow end of the pool all your life.

Yes, it is risky to review an author such as Knuth. But, certain things must be said and it seems like I may be the only one to say them. First, Knuth's books, including this new addition are invaluable resources of wisdom. Their depth and tenacity are rarely found elsewhere in our industry. That being said, I believe Knuth has really missed a big mark in this new addition.

My chief complaint of all of Knuth's "Art of" series is his incessant use of "MIX". MIX is Knuth's homebrew assembly language he uses to analyse the computer algorithms he describes. When Knuth first wrote the "Art of" series, assembly language was thankfully dying. 20 years later, no one but Knuth would even consider writing a book filled with such gibberish. There is no possible way at the end of the 1990s that this nonsense can be justified. Knuth has really missed the mark by insisting on having MIX in his books. What about C or C++, Pascal, BASIC, or even his own high-level psuedo-language? Here's the "God" of computer programming pushing this wretched gobbledygook on us. I can only attribute his horrid fascination with MIX to one of three things: Laziness (he doesn't want to rewrite his analysis - if this is true, then the new additions might need to be re-titled "The Art of Milking a Good Thing"), pride (he just can't give up his assembly language bastard-child he created), or ignorance. Either way, none of these are good justifications for why us plain mortals have to wade through this mine field of MIXed manure.

Get with it Don! Come down to our level, be a little bit humble and give us a decent high-level language analysis of your favorite algorithms.

MIX - R.I.P.

Donald E. Knuth - I am your biggest fan and this is one of my favorite books on algorithms. Don't be intimated by its size and the number of volumes - this is a life work of one of the most brilliant computer scientists of all times. Love this book, thank you Donald Knuth.

Classic text - used in data structures class years ago. Still quite relevant. The Kindle edition was extremely well done! The links available at the tap of a finger connect the dots quite nicely.

This was a gift and the recipient loved it. It came in with excellent condition and arrived in time. BTW the recipient has a job related to the content of the book and hopefully this book had some positive effects.

Assembly language text book with beyond calculus math meant for graduate programmers from the 1960’s?! The text is super dense, it’s not worth your time to pry out what’s written in it. If you want the veneer of looking smart as an influencer on YouTube, just put this in your bookshelf behind you as background detail for your backdrop; otherwise, this book is meant to be recycled.

Without a doubt this is an outstanding book; each passage is carefully written and structured so as to build up a complete view of a topic. As I read it I not only felt I was gaining understanding but confidence; many textbooks serve a reference - just a huge splurge of knowledge with no consideration given to how a pupil is going to digest it. Knuth's book is totally different in that he has very carefully considered the structuring, pitching, breakdown and discussion of a topic at every stage to ensure it is digestible for his reader. Obviously the content still gets the grey cells working but it's about as readable an academic book I think you'll get.

One watch-out; although this is a Kindle edition it is not compatible with some readers; I could only read this on my PC.

A entrega chegou no prazo, com uma emabalagem muito bem feita e um cartão dedicatório escrito à mão. Livro muito bem conservado! Agradeço imensamente.

Da molti considerata la "Bibbia" dell'algoritmica; chiunque voglia fare dell'informatica il suo lavoro dovrebbe leggere questo libro. Inoltre, se sarete sufficientemente attenti da scovare un errore nel testo, il buon Knuth vi ripagherà con un assegno di $ 2.56 che potrete esibire fieri a tutti i colleghi.

The craftsmanship of this book is excellent, definitely the best quality book I have ever owned in terms of paper quality and printing. The first volume is also heavy on review material (the first 100 or so pages) and there's about 200 pages of exercise answers and index. There is an enormous amount of historical information included in the book too with detailed accuracy of paper publications and authors full names.

The official requirements in the preface is some basic familiarity with computer hardware, some basic programming experience so knowledge of loops, variable assignments, ect., and if you wish to understand the math sections "a knowledge of elementary calculus will suffice" but keep in mind Knuth's idea of elementary is George Thomas' Calculus, which is heavily proof centric and rigorous (only the early editions from 1950s-60s are, they removed the rigor in later versions). If you can get the 3d or 4th version it will be the best math book you've ever read. Calculus and Analytic Geometry, 4th Edition (Addison-Wesley Series in Mathematics)

Knuth was such a fan of Thomas' Calculus book that he chose to publish his own books with the same publisher, Addison-Wesley. Knuth also credits the book with helping him become a mathematician, because he worked through every problem set in the text which taught him how to solve problems, and he claimed he could later coast through his math classes because of learning this skill. Doing proofs and solving problems is a skill you just get better at by doing and being exposed to well written proofs such as the one's Knuth has given in this book, so if you run into problems with TAOCP exercises just keep doing them, eventually you will get better. There's many other math texts you could also use with this book which give you a crash course in proof writing, like "How to Think Like a Mathematician" by Kevin Houston but you will pick that up anyway if you do enough of the problems in this book. The mathematical preliminaries chapter of TAOCP are well written, you can definitely learn discrete math from them, and if you do the problems Knuth has written for the chapters you will be able to coast through much of the rest of the book like Knuth coasted through his classes, with exception to some grad level number theory in Volume 2 but all the exercises/problems are labeled in difficulty so you can estimate the time you will spend working on them.

This version still contains MIXAL/MIX, instead of the more modern replacement Knuth wrote for it by releasing the MMIX fascicle. The fascicles are drop in replacements for the chapters. Dealing with 32/64bit, instead of nybbles that the original MIX architecture uses I found much easier to work with, if you want to do this volume in MMIXAL also consider getting "The MMIX Supplement" by Martin Ruckert which is a total rewrite of all exercises from MIXAL to MMIXAL though Knuth suggests you learn both, and the core material of the book is the same regardless of what architecture you do it in.

This is optional, but to get exposure to assembly language programming, I read the book "Computer Systems: A Programmer's Perspective, 3/E (CS:APP3e)" by Randal E. Bryant and David R. O'Hallaron. It gives a good enough introduction to how an assembly language and computer hardware works from a programmer's view. There is also the book "Code" by Charles Petzold which will explain OPCODES (mainly used in MMIX fascicle), "Programming from the Ground Up" by Jonathan Bartlett, and "The Elements of Computing Systems" By Noam Nisan and Shimon Schocken which also has a free course for it called Nand2Tetris. Any of the those books can prep you for the assembly programming requirements Knuth suggests in the preface though some googling and wikipedia is technically all you would need if you had a basic programming background Knuth will explain the rest in this volume.

The analysis in volume 1 goes way beyond what I did in undergrad university algorithm design classes. Knuth will also teach you almost every kind of List/Tree datastructure that exists and their mathematical properties (self-balancing Trees are in later volumes), Stacks, Queues, Arrays, and debugging with trace routines. All of this material is still relevant today as the fundamentals of computer science haven't changed, with the exception of persistent functional data structures though having a solid knowledge of Lists/Tree structures and their analysis will help to learn those later. Knuth also has some good programming advice on how he handled writing large programs from scratch in the 1960s. There is also some material on garbage collecting on Lists at the end of this first volume which I found interesting on how it relates to SML/NJ or OCaml list GC performance. There is even some COBOL programming in this version used for a few examples.

If you're interested in fundamental computer science algorithms and their analysis you should definitely get this book, and if you want to read any other volumes of TAOCP you will need to get this book too since MIX is introduced here in vol 1.

A must read book for every programmer...hats off to Sir Donald Knuth.

Delivery was in time and a good copy.