Analysis Of Algorithms

Author : Robert Sedgewick,Philippe Flajolet
Publisher : Addison-Wesley
Page : 734 pages
File Size : 49,9 Mb
Release : 2013-01-18
Category : Computers
ISBN : 9780133373486

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An Introduction to the Analysis of Algorithms by Robert Sedgewick,Philippe Flajolet Pdf

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

Author : Dana Vrajitoru,William Knight
Publisher : Springer
Page : 466 pages
File Size : 45,8 Mb
Release : 2014-09-03
Category : Computers
ISBN : 9783319098883

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Practical Analysis of Algorithms by Dana Vrajitoru,William Knight Pdf

This book introduces the essential concepts of algorithm analysis required by core undergraduate and graduate computer science courses, in addition to providing a review of the fundamental mathematical notions necessary to understand these concepts. Features: includes numerous fully-worked examples and step-by-step proofs, assuming no strong mathematical background; describes the foundation of the analysis of algorithms theory in terms of the big-Oh, Omega, and Theta notations; examines recurrence relations; discusses the concepts of basic operation, traditional loop counting, and best case and worst case complexities; reviews various algorithms of a probabilistic nature, and uses elements of probability theory to compute the average complexity of algorithms such as Quicksort; introduces a variety of classical finite graph algorithms, together with an analysis of their complexity; provides an appendix on probability theory, reviewing the major definitions and theorems used in the book.

Author : Jeffrey J. McConnell
Publisher : Jones & Bartlett Learning
Page : 471 pages
File Size : 52,8 Mb
Release : 2008
Category : Computers
ISBN : 9780763707828

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Analysis of Algorithms by Jeffrey J. McConnell Pdf

Data Structures & Theory of Computation

Author : Sandeep Sen,Amit Kumar
Publisher : Cambridge University Press
Page : 395 pages
File Size : 42,9 Mb
Release : 2019-05-23
Category : Computers
ISBN : 9781108496827

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Design and Analysis of Algorithms by Sandeep Sen,Amit Kumar Pdf

Focuses on the interplay between algorithm design and the underlying computational models.

Author : Tim Roughgarden
Publisher : Cambridge University Press
Page : 705 pages
File Size : 42,6 Mb
Release : 2021-01-14
Category : Computers
ISBN : 9781108494311

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Beyond the Worst-Case Analysis of Algorithms by Tim Roughgarden Pdf

Introduces exciting new methods for assessing algorithms for problems ranging from clustering to linear programming to neural networks.

Author : Dexter C. Kozen
Publisher : Springer Science & Business Media
Page : 327 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461244004

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The Design and Analysis of Algorithms by Dexter C. Kozen Pdf

These are my lecture notes from CS681: Design and Analysis of Algo rithms, a one-semester graduate course I taught at Cornell for three consec utive fall semesters from '88 to '90. The course serves a dual purpose: to cover core material in algorithms for graduate students in computer science preparing for their PhD qualifying exams, and to introduce theory students to some advanced topics in the design and analysis of algorithms. The material is thus a mixture of core and advanced topics. At first I meant these notes to supplement and not supplant a textbook, but over the three years they gradually took on a life of their own. In addition to the notes, I depended heavily on the texts • A. V. Aho, J. E. Hopcroft, and J. D. Ullman, The Design and Analysis of Computer Algorithms. Addison-Wesley, 1975. • M. R. Garey and D. S. Johnson, Computers and Intractibility: A Guide to the Theory of NP-Completeness. w. H. Freeman, 1979. • R. E. Tarjan, Data Structures and Network Algorithms. SIAM Regional Conference Series in Applied Mathematics 44, 1983. and still recommend them as excellent references.

Author : Daniel H. Greene,Donald E. Knuth
Publisher : Springer Science & Business Media
Page : 141 pages
File Size : 50,7 Mb
Release : 2009-05-21
Category : Computers
ISBN : 9780817647292

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Mathematics for the Analysis of Algorithms by Daniel H. Greene,Donald E. Knuth Pdf

This monograph collects some fundamental mathematical techniques that are required for the analysis of algorithms. It builds on the fundamentals of combinatorial analysis and complex variable theory to present many of the major paradigms used in the precise analysis of algorithms, emphasizing the more difficult notions. The authors cover recurrence relations, operator methods, and asymptotic analysis in a format that is concise enough for easy reference yet detailed enough for those with little background with the material.

Author : V. V. Muniswamy
Publisher : I. K. International Pvt Ltd
Page : 271 pages
File Size : 46,6 Mb
Release : 2013-12-30
Category : Electronic
ISBN : 9789380026732

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Design and Analysis of Algorithms by V. V. Muniswamy Pdf

This book is designed for the way we learn and intended for one-semester course in Design and Analysis of Algorithms . This is a very useful guide for graduate and undergraduate students and teachers of computer science. This book provides a coherent and pedagogically sound framework for learning and teaching. Its breadth of coverage insures that algorithms are carefully and comprehensively discussed with figures and tracing of algorithms. Carefully developing topics with sufficient detail, this text enables students to learn about concepts on their own, offering instructors flexibility and allowing them to use the text as lecture reinforcement.Key Features:" Focuses on simple explanations of techniques that can be applied to real-world problems." Presents algorithms with self-explanatory pseudocode." Covers a broad range of algorithms in depth, yet makes their design and analysis accessible to all levels of readers." Includes chapter summary, self-test quiz and exercises at the end of each chapter. Key to quizzes and solutions to exercises are given in appendices.

Author : Michael Soltys
Publisher : World Scientific
Page : 211 pages
File Size : 43,9 Mb
Release : 2012
Category : Computers
ISBN : 9789814401159

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An Introduction to the Analysis of Algorithms by Michael Soltys Pdf

A successor to the first edition, this updated and revised book is a great companion guide for students and engineers alike, specifically software engineers who design reliable code. While succinct, this edition is mathematically rigorous, covering the foundations of both computer scientists and mathematicians with interest in algorithms. Besides covering the traditional algorithms of Computer Science such as Greedy, Dynamic Programming and Divide & Conquer, this edition goes further by exploring two classes of algorithms that are often overlooked: Randomised and Online algorithms with emphasis placed on the algorithm itself. The coverage of both fields are timely as the ubiquity of Randomised algorithms are expressed through the emergence of cryptography while Online algorithms are essential in numerous fields as diverse as operating systems and stock market predictions. While being relatively short to ensure the essentiality of content, a strong focus has been placed on self-containment, introducing the idea of pre/post-conditions and loop invariants to readers of all backgrounds. Containing programming exercises in Python, solutions will also be placed on the book's website.

Author : Parag H. Dave
Publisher : Pearson Education India
Page : 836 pages
File Size : 48,9 Mb
Release : 2007-09
Category : Computers
ISBN : 8177585959

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Design and Analysis of Algorithms by Parag H. Dave Pdf

"All aspects pertaining to algorithm design and algorithm analysis have been discussed over the chapters in this book-- Design and Analysis of Algorithms"--Resource description page.

Author : Robert Endre Tarjan
Publisher : SIAM
Page : 138 pages
File Size : 43,7 Mb
Release : 1983-01-01
Category : Technology & Engineering
ISBN : 1611970261

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Data Structures and Network Algorithms by Robert Endre Tarjan Pdf

There has been an explosive growth in the field of combinatorial algorithms. These algorithms depend not only on results in combinatorics and especially in graph theory, but also on the development of new data structures and new techniques for analyzing algorithms. Four classical problems in network optimization are covered in detail, including a development of the data structures they use and an analysis of their running time. Data Structures and Network Algorithms attempts to provide the reader with both a practical understanding of the algorithms, described to facilitate their easy implementation, and an appreciation of the depth and beauty of the field of graph algorithms.

Author : Anany Levitin
Publisher : Pearson Education India
Page : 548 pages
File Size : 49,7 Mb
Release : 2008-09
Category : Algorithms
ISBN : 8131718379

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Introduction To Design And Analysis Of Algorithms, 2/E by Anany Levitin Pdf

Author : Micha Hofri
Publisher : Oxford University Press, USA
Page : 618 pages
File Size : 42,6 Mb
Release : 1995
Category : Computer algorithms.
ISBN : 0195099540

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Analysis of Algorithms by Micha Hofri Pdf

Analysis of Algorithms: Computational Methods & Mathematical Tools presents the methods and tools needed to determine the effectiveness of algorithms. It begins with basic computational tools such as generating functions, combinatorial calculus, and asymptomatic methods, and continues through applications such as searching and sorting, communications protocols, and bin packing heuristics. The techniques needed for an effective use of each concept are shown in examples, then in exercises for which detailed solutions are provided. Proofs are given to illustrate the focal topic of the chapter. While the book can be used as a reference tool for algorithm designers and scientists specializing in their analyses, the exercises also make this a useful guide for graduate courses and seminars. Much of the material is culled from recent journal articles, and is presented here for the first time in book form.

Author : Anuradha A. Puntambekar
Publisher : Technical Publications
Page : 688 pages
File Size : 45,8 Mb
Release : 2020-12-01
Category : Computers
ISBN : 9789333223867

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Analysis and Design of Algorithms by Anuradha A. Puntambekar Pdf

This well-organized textbook provides the design techniques of algorithms in a simple and straight forward manner. The book begins with a description of the fundamental concepts such as algorithm, functions and relations, vectors and matrices. Then it focuses on efficiency analysis of algorithms. In this unit, the technique of computing time complexity of the algorithm is discussed along with illustrative examples. Gradually, the text discusses various algorithmic strategies such as divide and conquer, dynamic programming, Greedy algorithm, backtracking and branch and bound. Finally the string matching algorithms and introduction to NP completeness is discussed. Each algorithmic strategy is explained in stepwise manner, followed by examples and pseudo code. Thus this book helps the reader to learn the analysis and design of algorithms in the most lucid way.

Author : Wojciech Szpankowski
Publisher : John Wiley & Sons
Page : 580 pages
File Size : 43,6 Mb
Release : 2011-10-14
Category : Mathematics
ISBN : 9781118031025

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Average Case Analysis of Algorithms on Sequences by Wojciech Szpankowski Pdf

A timely book on a topic that has witnessed a surge of interest over the last decade, owing in part to several novel applications, most notably in data compression and computational molecular biology. It describes methods employed in average case analysis of algorithms, combining both analytical and probabilistic tools in a single volume. * Tools are illustrated through problems on words with applications to molecular biology, data compression, security, and pattern matching. * Includes chapters on algorithms and data structures on words, probabilistic and analytical models, inclusion-exclusion principles, first and second moment methods, subadditive ergodic theorem and large deviations, elements of information theory, generating functions, complex asymptotic methods, Mellin transform and its applications, and analytic poissonization and depoissonization. * Written by an established researcher with a strong international reputation in the field.