An Introduction to the Analysis of Algorithms (2nd Edition)
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In a subtle but important change, loop invariants are introduced early and used throughout the text to prove algorithm correctness.
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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. Getting Started Growth of Functions. Probabilistic Analysis and Randomized Algorithms.
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Introduction Augmenting Data Structures. Minimum Spanning Trees. SingleSource Shortest Paths. Matrix Operations.
Linear Programming. Polynomials and the FFT NumberTheoretic Algorithms.
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Hash Tables. 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.
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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. Book Site. An Introduction to the Analysis of Algorithms, 2nd Edition. Book Description Despite growing interest, basic information on methods and models for mathematically analyzing algorithms has rarely been directly accessible to practitioners, researchers, or students.
Solutions Manual for Introduction to the Design and Analysis of Algorithms 2nd Edition by Levitin
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