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An Introduction to the Analysis of Algorithms

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An Introduction to the Analysis of Algorithms

Sách keo gáy, Bìa mềm
 
Thể loại:Computers - Programming
 
Năm:2013
 
In lần thứ:2nd
 
Ngôn ngữ:english
 
Trang:593
 
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.