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Introduction to Algorithms


Introduction to Algorithms  
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Binding: Hardcover
Dewey Decimal Number: 005.1
EAN: 9780262032933
Edition: 2nd
ISBN: 0262032937
Label: The MIT Press
Manufacturer: The MIT Press
Number Of Items: 1
Number Of Pages: 1184
Publication Date: September 01, 2001
Publisher: The MIT Press
Studio: The MIT Press


Related Items: Featured Listmania! Editorial Review:
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).
The first edition won the award for Best 1990 Professional and Scholarly Book in Computer Science and Data Processing by the Association of American Publishers.

There are books on algorithms that are rigorous but incomplete and others that cover masses of material but lack rigor. Introduction to Algorithms combines rigor and comprehensiveness.

The book covers a broad range of algorithms in depth, yet makes their design and analysis accessible to all levels of readers. Each chapter is relatively self-contained and can be used as a unit of study. The algorithms are described in English and in a pseudocode designed to be readable by anyone who has done a little programming. The explanations have been kept elementary without sacrificing depth of coverage or mathematical rigor.

The first edition became the standard reference for professionals and a widely used text in universities worldwide. The second edition features new chapters on the role of algorithms, probabilistic analysis and randomized algorithms, and linear programming, as well as extensive revisions to virtually every section of the book. In a subtle but important change, loop invariants are introduced early and used throughout the text to prove algorithm correctness. Without changing the mathematical and analytic focus, the authors have moved much of the mathematical foundations material from Part I to an appendix and have included additional motivational material at the beginning.

Customer Reviews
Average Rating:  out of 5 stars

Rating:  out of 5 stars - The best textbook on algorithms, but it is not a programming book.
I used this book for a graduate level Algorithms course, and I really liked it. It is packed full of content on a wide range of topics. While this book does provide some high-level implementations of algorithms in pseudo-code, you will not find any examples of how to program algorithms in this book. That's really not what this book is meant for anyways.

I found the reading to be easier than Knuth on similar topics, but you still need to have sufficient mathematical background in order ... Read More



Rating:  out of 5 stars - This version has NO CD
There are three versions of the second edition, only one of which has the CD:

The first one is published by the MIT Press, with the title "Introduction to Algorithms". This one has no CD. This is the one Amazon currently carries, so if you buy from Amazon, you get no CD.

The second one is published by McGraw-Hill, also with the title "Introduction to Algorithms". This one also has no CD.

The third one is published by McGraw-Hill too, but has the title "Introduction ... Read More



Rating:  out of 5 stars - excellent resource
This book is (in my opinion) an essential resource of common computer science algorithms. It covers a broad range of different algorithm topics and I found the explanations by the authors extremely helpful and simple to understand (both with simple and advanced topics). It does attempt to cover as many algorithm topics as possible, so some topics may not be covered in fine detail (it does not spend as much time on runtime analysis as other books, or spend much time on NP problems). It is perfect for someone ... Read More



Rating:  out of 5 stars - Complex Topics. Not so Complex Book.
If any book is being worshipped for it's content on Algorithms in Academia, then it is this book. I have used this book both in my undergraduate and my Masters and definitely the best in the field.

But, I personally think the topics covered are complex to begin with. So, it takes this book and couple of books for reference to understand the topics completely. If you want to develop new efficient algorithms, then this is the book to begin with. Over all a very good book. Would definitely recommend it.



Rating:  out of 5 stars - Excellent Book
This book is must have for any software programmer. It is one of the best book I had ever had. It has many mathematical concepts and ppl who are mathematical geeks with software skills will love this book even more like me. This was the first book i bought from Used book section and I am extremely satisfied with the condition. I was quite skeptical when I was buying the book, but the sellers are really good with the what they promised. I am totally impressed and i really appreciate it.
Thanks Guys.


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