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Despite growing interest, basic information on methods and models for mathematically analyzing algorithms has rarely been directly accessible to practitioners, researchers, or students. An Introduction to the Analysis of Algorithms, Second Edition, organizes and presents that knowledge, fully introducing primary techniques and results in the field.
Robert Sedgewick and the late Philippe Flajolet have drawn from both classical mathematics and computer science, integrating discrete mathematics, elementary real analysis, combinatorics, algorithms, and data structures. They emphasize the mathematics needed to support scientific studies that can serve as the basis for predicting algorithm performance and for comparing different algorithms on the basis of performance.
Techniques covered in the first half of the book include recurrences, generating functions, asymptotics, and analytic combinatorics. Structures studied in the second half of the book include permutations, trees, strings, tries, and mappings. Numerous examples are included throughout to illustrate applications to the analysis of algorithms that are playing a critical role in the evolution of our modern computational infrastructure.
Improvements and additions in this new edition include
- Upgraded figures and code
- An all-new chapter introducing analytic combinatorics
- Simplified derivations via analytic combinatorics throughout
The book’s thorough, self-contained coverage will help readers appreciate the field’s challenges, prepare them for advanced results—covered in their monograph Analytic Combinatorics and in Donald Knuth’s The Art of Computer Programming books—and provide the background they need to keep abreast of new research.
"[Sedgewick and Flajolet] are not only worldwide leaders of the field, they also are masters of exposition. I am sure that every serious computer scientist will find this book rewarding in many ways."
—From the Foreword by Donald E. Knuth
- Sales Rank: #805063 in Books
- Brand: Sedgewick, Robert/ Flajolet, Philippe
- Published on: 2013-01-28
- Original language: English
- Number of items: 1
- Dimensions: 9.20" h x 1.50" w x 7.70" l, 2.54 pounds
- Binding: Hardcover
- 604 pages
About the Author
Robert Sedgewick is the William O. Baker Professor of Computer Science at Princeton University, where was founding chair of the computer science department and has been a member of the faculty since 1985. He is a Director of Adobe Systems and has served on the research staffs at Xerox PARC, IDA, and INRIA. He is the coauthor of the landmark introductory book, Algorithms, Fourth Edition. Professor Sedgewick earned his Ph.D from Stanford University under Donald E. Knuth.
The late Philippe Flajolet was a Senior Research Director at INRIA, Rocquencourt, where he created and led the ALGO research group. He is celebrated for having opened new lines of research in the analysis of algorithms; having systematized and developed powerful new methods in the field of analytic combinatorics; having solved numerous difficult, open problems; and having lectured on the analysis of algorithms all over the world. Dr. Flajolet was a member of the French Academy of Sciences.
Most helpful customer reviews
31 of 32 people found the following review helpful.
A valuable read
By Roc
This is a highly digestible math book and the focus is on a formal approach of accurate analysis (not just worst case or average case) for most algorithms. It is not a substitute of the CLRS or other popular textbooks, it is a somewhat different approach. The text tells you what you need to worry about when analyzing algorithmic topics, and explains the "how"s very clearly and nicely paced. The effect is that while reading, I never have the dread that I am not able to finish a typical thousand-page theory book. It prepares you for the author's Analytic Combinatorics and Knuth's TAOCP, but I find it equally useful just to better understand algorithms overall.
10 of 10 people found the following review helpful.
Uncommonly good
By Customer
I am a first year graduate student in mathematics, so keep that in mind if you're trying to generalize my review. I use nearly all the math discussed in the text for analytic number theory (I rarely program), but this book gives an especially nice treatment of the combinatorial mathematics. I really get excited every time I have to open this book.
I typically learn best from books, so I have a good sense for what a book should feature for me to learn the material as quickly and effectively as possible. It's really a drag when something as superfluous as style or a purist aesthetic makes reading sluggish or just impossible to learn from. I want a book to have many problems (ranging between medium to very hard/open problems), solutions in the back, examples to make the more difficult concepts clear, both historical and modern motivations for the material, and clean, linear descriptions. This book hits all of these except the "solutions in the back" part. Despite this one "flaw", however, this book has other great features that compensate. For example, the typesetting is fresh and makes the text more engaging. Also, there are very beautiful graphs and great reference tables. It is really a wonderful book -- the authors clearly were purposeful in the design of this text.
5 of 7 people found the following review helpful.
I love Math books
By modern c++'ser
Not at all what I was expecting. I love Math books. I also Love Math books that are related to Algorithms and so this book should have been the crown jewel. However, going into the third chapter (generating functions) I understood that I'm not going to enjoy this book. The authors, skim through the most important details leaving all the "meat" so to say, up to the reader to figure out. Generating functions are one of the most important and fundamental concepts in combinatorics and yet I left the book with a feeling that it was virtually impossible to internalize the concept.
I'm really disappointed.
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