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Analysis Of Algorithms
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Book Synopsis An Introduction to the Analysis of Algorithms by : Robert Sedgewick
Download or read book An Introduction to the Analysis of Algorithms written by Robert Sedgewick and published by Addison-Wesley. This book was released on 2013-01-18 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Analysis of Algorithms by : Jeffrey J. McConnell
Download or read book Analysis of Algorithms written by Jeffrey J. McConnell and published by Jones & Bartlett Learning. This book was released on 2008 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data Structures & Theory of Computation
Book Synopsis Practical Analysis of Algorithms by : Dana Vrajitoru
Download or read book Practical Analysis of Algorithms written by Dana Vrajitoru and published by Springer. This book was released on 2014-09-03 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematics for the Analysis of Algorithms by : Daniel H. Greene
Download or read book Mathematics for the Analysis of Algorithms written by Daniel H. Greene and published by Springer Science & Business Media. This book was released on 2009-05-21 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Design and Analysis of Algorithms by : Sandeep Sen
Download or read book Design and Analysis of Algorithms written by Sandeep Sen and published by Cambridge University Press. This book was released on 2019-05-23 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text covers important algorithm design techniques, such as greedy algorithms, dynamic programming, and divide-and-conquer, and gives applications to contemporary problems. Techniques including Fast Fourier transform, KMP algorithm for string matching, CYK algorithm for context free parsing and gradient descent for convex function minimization are discussed in detail. The book's emphasis is on computational models and their effect on algorithm design. It gives insights into algorithm design techniques in parallel, streaming and memory hierarchy computational models. The book also emphasizes the role of randomization in algorithm design, and gives numerous applications ranging from data-structures such as skip-lists to dimensionality reduction methods.
Book Synopsis Beyond the Worst-Case Analysis of Algorithms by : Tim Roughgarden
Download or read book Beyond the Worst-Case Analysis of Algorithms written by Tim Roughgarden and published by Cambridge University Press. This book was released on 2021-01-14 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces exciting new methods for assessing algorithms for problems ranging from clustering to linear programming to neural networks.
Book Synopsis The Design and Analysis of Algorithms by : Dexter C. Kozen
Download or read book The Design and Analysis of Algorithms written by Dexter C. Kozen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Design and Analysis of Algorithms by : Parag H. Dave
Download or read book Design and Analysis of Algorithms written by Parag H. Dave and published by Pearson Education India. This book was released on 2007-09 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Book Synopsis Average Case Analysis of Algorithms on Sequences by : Wojciech Szpankowski
Download or read book Average Case Analysis of Algorithms on Sequences written by Wojciech Szpankowski and published by John Wiley & Sons. This book was released on 2011-10-14 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Analysis of Algorithms by : Micha Hofri
Download or read book Analysis of Algorithms written by Micha Hofri and published by Oxford University Press, USA. This book was released on 1995 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Gabor Analysis and Algorithms by : Hans G. Feichtinger
Download or read book Gabor Analysis and Algorithms written by Hans G. Feichtinger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: In his paper Theory of Communication [Gab46], D. Gabor proposed the use of a family of functions obtained from one Gaussian by time-and frequency shifts. Each of these is well concentrated in time and frequency; together they are meant to constitute a complete collection of building blocks into which more complicated time-depending functions can be decomposed. The application to communication proposed by Gabor was to send the coeffi cients of the decomposition into this family of a signal, rather than the signal itself. This remained a proposal-as far as I know there were no seri ous attempts to implement it for communication purposes in practice, and in fact, at the critical time-frequency density proposed originally, there is a mathematical obstruction; as was understood later, the family of shifted and modulated Gaussians spans the space of square integrable functions [BBGK71, Per71] (it even has one function to spare [BGZ75] . . . ) but it does not constitute what we now call a frame, leading to numerical insta bilities. The Balian-Low theorem (about which the reader can find more in some of the contributions in this book) and its extensions showed that a similar mishap occurs if the Gaussian is replaced by any other function that is "reasonably" smooth and localized. One is thus led naturally to considering a higher time-frequency density.
Book Synopsis An Introduction to the Analysis of Algorithms by : Michael Soltys
Download or read book An Introduction to the Analysis of Algorithms written by Michael Soltys and published by World Scientific. This book was released on 2012 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Analysis and Design of Algorithms by : Amrinder Arora
Download or read book Analysis and Design of Algorithms written by Amrinder Arora and published by Cognella Academic Publishing. This book was released on 2021-03-10 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis and Design of Algorithms provides a structured view of algorithm design techniques in a concise, easy-to-read manner. The book was written with an express purpose of being easy -- to understand, read, and carry. It presents a pioneering approach in the teaching of algorithms, based on learning algorithm design techniques, and not merely solving a collection of problems. This allows students to master one design technique at a time and apply it to a rich variety of problems. Analysis and Design of Algorithms covers the algorithmic design techniques of divide and conquer, greedy, dynamic programming, branch and bound, and graph traversal. For each of these techniques, there are templates and guidelines on when to use and not to use each technique. Many sections contain innovative mnemonics to aid the readers in remembering the templates and key takeaways. Additionally, the book covers NP-completeness and the inherent hardness of problems. The third edition includes a new section on polynomial multiplication, as well as additional exercise problems, and an updated appendix. Written with input from students and professionals, Analysis and Design of Algorithms is well suited for introductory algorithm courses at the undergraduate and graduate levels. The structured organization of the text makes it especially appropriate for online and distance learning.
Book Synopsis Introduction To Design And Analysis Of Algorithms, 2/E by : Anany Levitin
Download or read book Introduction To Design And Analysis Of Algorithms, 2/E written by Anany Levitin and published by Pearson Education India. This book was released on 2008-09 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to the Design and Analysis of Algorithms by : Anany Levitin
Download or read book Introduction to the Design and Analysis of Algorithms written by Anany Levitin and published by Pearson Higher Ed. This book was released on 2014-10-07 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a new classification of algorithm design techniques and a clear delineation of analysis methods, Introduction to the Design and Analysis of Algorithms presents the subject in a coherent and innovative manner. Written in a student-friendly style, the book emphasises the understanding of ideas over excessively formal treatment while thoroughly covering the material required in an introductory algorithms course. Popular puzzles are used to motivate students' interest and strengthen their skills in algorithmic problem solving. Other learning-enhancement features include chapter summaries, hints to the exercises, and a detailed solution manual. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.
Book Synopsis Analysis and Design of Algorithms by : Anuradha A. Puntambekar
Download or read book Analysis and Design of Algorithms written by Anuradha A. Puntambekar and published by Technical Publications. This book was released on 2020-12-01 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Advances in Computational Algorithms and Data Analysis by : Sio-Iong Ao
Download or read book Advances in Computational Algorithms and Data Analysis written by Sio-Iong Ao and published by Springer Science & Business Media. This book was released on 2008-09-28 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Computational Algorithms and Data Analysis offers state of the art tremendous advances in computational algorithms and data analysis. The selected articles are representative in these subjects sitting on the top-end-high technologies. The volume serves as an excellent reference work for researchers and graduate students working on computational algorithms and data analysis.
