ISBN:0262032937Amazon.com
Aimed at any serious programmer or computer science student, the new second edition of Introduction to Algorithms builds on the tradition of the original with a truly magisterial guide to the world of algorithms. Clearly presented, mathematically rigorous, and yet approachable even for the math-averse, this title sets a high standard for a textbook and reference to the best algorithms for solving a wide range of computing problems.
With sample problems and mathematical proofs demonstrating the correctness of each algorithm, this book is ideal as a textbook for classroom study, but its reach doesn't end there. The authors do a fine job of explaining each algorithm. (Reference sections on basic mathematical notation will help readers bridge the gap, but it will help to have some math background to appreciate the full achievement of this handsome hardcover volume.) Every algorithm is presented in pseudo-code, which can be implemented in any computer language, including C/C++ and Java. This ecumenical approach is one of the book's strengths. When it comes to sorting and common data structures, from basic linked lists to trees (including binary trees, red-black, and B-trees), this title really shines, with clear diagrams that show algorithms in operation. Even if you just glance over the mathematical notation here, you can definitely benefit from this text in other ways.
The book moves forward with more advanced algorithms that implement strategies for solving more complicated problems (including dynamic programming techniques, greedy algorithms, and amortized analysis). Algorithms for graphing problems (used in such real-world business problems as optimizing flight schedules or flow through pipelines) come next. In each case, the authors provide the best from current research in each topic, along with sample solutions.
This text closes with a grab bag of useful algorithms including matrix operations and linear programming, evaluating polynomials, and the well-known Fast Fourier Transformation (FFT) (useful in signal processing and engineering). Final sections on "NP-complete" problems, like the well-known traveling salesman problem, show off that while not all problems have a demonstrably final and best answer, algorithms that generate acceptable approximate solutions can still be used to generate useful, real-world answers.
Throughout this text, the authors anchor their discussion of algorithms with current examples drawn from molecular biology (like the Human Genome Project), business, and engineering. Each section ends with short discussions of related historical material, often discussing original research in each area of algorithms. On the whole, they argue successfully that algorithms are a "technology" just like hardware and software that can be used to write better software that does more, with better performance. Along with classic books on algorithms (like Donald Knuth's three-volume set, The Art of Computer Programming), this title sets a new standard for compiling the best research in algorithms. For any experienced developer, regardless of their chosen language, this text deserves a close look for extending the range and performance of real-world software. --Richard Dragan
Topics covered: Overview of algorithms (including algorithms as a technology); designing and analyzing algorithms; asymptotic notation; recurrences and recursion; probabilistic analysis and randomized algorithms; heapsort algorithms; priority queues; quicksort algorithms; linear time sorting (including radix and bucket sort); medians and order statistics (including minimum and maximum); introduction to data structures (stacks, queues, linked lists, and rooted trees); hash tables (including hash functions); binary search trees; red-black trees; augmenting data structures for custom applications; dynamic programming explained (including assembly-line scheduling, matrix-chain multiplication, and optimal binary search trees); greedy algorithms (including Huffman codes and task-scheduling problems); amortized analysis (the accounting and potential methods); advanced data structures (including B-trees, binomial and Fibonacci heaps, representing disjoint sets in data structures); graph algorithms (representing graphs, minimum spanning trees, single-source shortest paths, all-pairs shortest paths, and maximum flow algorithms); sorting networks; matrix operations; linear programming (standard and slack forms); polynomials and the Fast Fourier Transformation (FFT); number theoretic algorithms (including greatest common divisor, modular arithmetic, the Chinese remainder theorem, RSA public-key encryption, primality testing, integer factorization); string matching; computational geometry (including finding the convex hull); NP-completeness (including sample real-world NP-complete problems and their insolvability); approximation algorithms for NP-complete problems (including the traveling salesman problem); reference sections for summations and other mathematical notation, sets, relations, functions, graphs and trees, as well as counting and probability backgrounder (plus geometric and binomial distributions)./p>
Reviews From AMAZON.COM
Its Softcover not hardcover
The book is great. It has a green cover and most of the "cover" is in Chinese, but the contents are all English and it is the correct edition.
I saw something that indicated it is a hard cover, but it isn't and I'm thankful that it isn't. Its a big book and carrying it back and forth to class I don't need the extra weight.
Academic Masterpiece, Practical White Elephant
First, the good part: this book is an intellectual and academic masterpiece. It would be great for people doing algorithm or other Computer Science research. It's an amazing synthesis of much of the core of a Computer Science degree with Discrete Math and Probability. Oddly, it's more like a math book than a CS book.
Now, the not so good part: for implementers (i.e., programmers), this book is not all that useful. The biggest technical negative is that, for the most part, the authors ignore memory hierarchies and treat everything as if it were running on a computer with infinite cache memory and having everything already loaded there. Granted, the authors spend a huge chunk of time teaching the readers how to do (and prove) cost (or efficiency) analysis on algorithms. So, readers should be able to figure out actual, real-world efficiencies on their own (although there's nothing in this book to illustrate how to modify the analysis to do that). But, since memory hierarchies drastically change the relative efficiencies of algorithms, they should be considered in the original algorithmic analysis and ranking.
From a methodology point of view, another problem is that the authors assume the readers have full knowledge of the algorithms covered in the book. In general, they don't even try to teach the actual algorithms, how they came about, the reasoning behind them, or any method of thought for coming up with other, similar, algorithms. Instead, the authors merely focus on proving the correctness and cost of the pre-existing algorithms. It's like the authors present a beautiful, theoretical, shiny structure sparkling and spinning in the ether. They then explain what parts make up this structure, how they're put together, and how long it takes to use such a structure. But, what would be far more useful is if the authors started from the more common position where someone has a problem and a big pile of parts. They need to know how to determine the best thing to make from all those parts to fix the problem, and how to put it together in the most efficient way. Essentially, it's the difference between a reference book and a teaching book.
On the level of irritations, the authors leave a LOT of core stuff as exercises for the student. This is bad enough on its own (and is one of my pet peeves in the math world). However, making this even worse is the fact that NONE of the exercises are answered. So, firstly, that makes these exercises useless to self-studyers (i.e., me). And, secondly, that makes the "proof is left as an exercise to the student" core parts of the book entirely inaccesible to self-studyers.
I can't emphasize enough that academically and intellectually, the scope and depth of this book is amazing. If I were someone doing pure research in computer science algorithms, I'd rate it at 5 stars out of 5. But, as a lowly nouveaux-programmer trying to improve my mind, the best I can give it is an OK 3 stars out of 5.