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An Introduction to the Analysis of Algorithms

An Introduction to the Analysis of Algorithms Author Robert Sedgewick
ISBN-10 9780133373486
Release 2013-01-18
Pages 604
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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

Introduction to the Design Analysis of Algorithms

Introduction to the Design   Analysis of Algorithms Author Anany Levitin
ISBN-10 0132316811
Release 2012
Pages 565
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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 emphasizes 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.


ISBN-10 9813235918
Release 2018
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INTRODUCTION TO THE ANALYSIS OF ALGORITHMS AN 3RD EDITION has been writing in one form or another for most of life. You can find so many inspiration from INTRODUCTION TO THE ANALYSIS OF ALGORITHMS AN 3RD EDITION also informative, and entertaining. Click DOWNLOAD or Read Online button to get full INTRODUCTION TO THE ANALYSIS OF ALGORITHMS AN 3RD EDITION book for free.

Compared to What

Compared to What Author Gregory J. E. Rawlins
ISBN-10 071678243X
Release 1992
Pages 536
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Each chapter focuses on a basic programming problem and works through a variety of options for its solution, thus covering the essentials, incorporating pedagogical material, and giving students the experience of analysis. Math concepts are explained in the appendices. Annotation copyright by Book News, Inc., Portland, OR

Introduction To Design And Analysis Of Algorithms 2 E

Introduction To Design And Analysis Of Algorithms  2 E Author Levitin
ISBN-10 8131718379
Release 2008-09-01
Pages 544
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Introduction To Design And Analysis Of Algorithms 2 E has been writing in one form or another for most of life. You can find so many inspiration from Introduction To Design And Analysis Of Algorithms 2 E also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Introduction To Design And Analysis Of Algorithms 2 E book for free.

Introduction to the design and analysis of algorithms

Introduction to the design and analysis of algorithms Author Seymour E. Goodman
ISBN-10 0070237530
Release 1977
Pages 371
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Introduction to the design and analysis of algorithms has been writing in one form or another for most of life. You can find so many inspiration from Introduction to the design and analysis of algorithms also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Introduction to the design and analysis of algorithms book for free.

An Introduction to the Analysis of Algorithms

An Introduction to the Analysis of Algorithms Author Michael Soltys
ISBN-10 9789814401166
Release 2012
Pages 211
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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 OCo 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.

The Design and Analysis of Algorithms

The Design and Analysis of Algorithms Author Dexter C. Kozen
ISBN-10 9781461244004
Release 2012-12-06
Pages 322
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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.

Analysis of Algorithms

Analysis of Algorithms Author Jeffrey McConnell
ISBN-10 9780763787004
Release 2009-09-29
Pages 451
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Updated to follow the recommendations put forth by the ACM/SIGCSE 2001 task force, Analysis of Algorithms raises awareness of the effects that algorithms have on the efficiency of a program and develops the necessary skills to analyze general algorithms used in programs. The text presents the material with the expectation that it can be used with active and cooperative learning methodology, based on the premise that students learn more effectively and retain more information longer when they are active participants in the learning process. To accomplish this, the chapters are clear and complete to encourage students to prepare by reading before class, and the text is filled with exciting examples and exercises that look at the efficiency of various algorithms to solve a problem. The author is well known for workshops that he presents on the active learning model. He has written an instructor's manual that helps instructors understand how to present the material in an active way.


Algorithms Author Robert Sedgewick
ISBN-10 9780133799101
Release 2014-02-01
Pages 530
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This book is Part I of the fourth edition of Robert Sedgewick and Kevin Wayne’s Algorithms , the leading textbook on algorithms today, widely used in colleges and universities worldwide. Part I contains Chapters 1 through 3 of the book. The fourth edition of Algorithms surveys the most important computer algorithms currently in use and provides a full treatment of data structures and algorithms for sorting, searching, graph processing, and string processing -- including fifty algorithms every programmer should know. In this edition, new Java implementations are written in an accessible modular programming style, where all of the code is exposed to the reader and ready to use. The algorithms in this book represent a body of knowledge developed over the last 50 years that has become indispensable, not just for professional programmers and computer science students but for any student with interests in science, mathematics, and engineering, not to mention students who use computation in the liberal arts. The companion web site, contains An online synopsis Full Java implementations Test data Exercises and answers Dynamic visualizations Lecture slides Programming assignments with checklists Links to related material The MOOC related to this book is accessible via the "Online Course" link at The course offers more than 100 video lecture segments that are integrated with the text, extensive online assessments, and the large-scale discussion forums that have proven so valuable. Offered each fall and spring, this course regularly attracts tens of thousands of registrants. Robert Sedgewick and Kevin Wayne are developing a modern approach to disseminating knowledge that fully embraces technology, enabling people all around the world to discover new ways of learning and teaching. By integrating their textbook, online content, and MOOC, all at the state of the art, they have built a unique resource that greatly expands the breadth and depth of the educational experience.

Stable Marriage and Its Relation to Other Combinatorial Problems

Stable Marriage and Its Relation to Other Combinatorial Problems Author Donald Ervin Knuth
ISBN-10 9780821806036
Release 1997
Pages 74
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``This is a very stimulating book!'' --N. G. de Bruijn ``This short book will provide extremely enjoyable reading to anyone with an interest in discrete mathematics and algorithm design.'' --Mathematical Reviews ``This book is an excellent (and enjoyable) means of sketching a large area of computer science for specialists in other fields: It requires little previous knowledge, but expects of the reader a degree of mathematical facility and a willingness to participate. It is really neither a survey nor an introduction; rather, it is a paradigm, a fairly complete treatment of a single example used as a synopsis of a larger subject.'' --SIGACT News ``Anyone would enjoy reading this book. If one had to learn French first, it would be worth the effort!'' --Computing Reviews The above citations are taken from reviews of the initial French version of this text--a series of seven expository lectures that were given at the University of Montreal in November of 1975. The book uses the appealing theory of stable marriage to introduce and illustrate a variety of important concepts and techniques of computer science and mathematics: data structures, control structures, combinatorics, probability, analysis, algebra, and especially the analysis of algorithms. The presentation is elementary, and the topics are interesting to nonspecialists. The theory is quite beautiful and developing rapidly. Exercises with answers, an annotated bibliography, and research problems are included. The text would be appropriate as supplementary reading for undergraduate research seminars or courses in algorithmic analysis and for graduate courses in combinatorial algorithms, operations research, economics, or analysis of algorithms. Donald E. Knuth is one of the most prominent figures of modern computer science. His works in The Art of Computer Programming are classic. He is also renowned for his development of TeX and METAFONT. In 1996, Knuth won the prestigious Kyoto Prize, considered to be the nearest equivalent to a Nobel Prize in computer science.

Design and Analysis of Randomized Algorithms

Design and Analysis of Randomized Algorithms Author J. Hromkovic
ISBN-10 9783540279037
Release 2006-03-30
Pages 277
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Systematically teaches key paradigmic algorithm design methods Provides a deep insight into randomization

Introduction to Algorithms

Introduction to Algorithms Author Thomas H. Cormen
ISBN-10 9780262033848
Release 2009-07-31
Pages 1292
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A new edition of the essential text and professional reference, with substantial new material on such topics as vEB trees, multithreaded algorithms, dynamic programming, and edge-based flow.

Introduction to Parallel Algorithms

Introduction to Parallel Algorithms Author C. Xavier
ISBN-10 0471251828
Release 1998-08-05
Pages 365
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Parallel algorithms Made Easy The complexity of today's applications coupled with the widespread use of parallel computing has made the design and analysis of parallel algorithms topics of growing interest. This volume fills a need in the field for an introductory treatment of parallel algorithms-appropriate even at the undergraduate level, where no other textbooks on the subject exist. It features a systematic approach to the latest design techniques, providing analysis and implementation details for each parallel algorithm described in the book. Introduction to Parallel Algorithms covers foundations of parallel computing; parallel algorithms for trees and graphs; parallel algorithms for sorting, searching, and merging; and numerical algorithms. This remarkable book: * Presents basic concepts in clear and simple terms * Incorporates numerous examples to enhance students' understanding * Shows how to develop parallel algorithms for all classical problems in computer science, mathematics, and engineering * Employs extensive illustrations of new design techniques * Discusses parallel algorithms in the context of PRAM model * Includes end-of-chapter exercises and detailed references on parallel computing. This book enables universities to offer parallel algorithm courses at the senior undergraduate level in computer science and engineering. It is also an invaluable text/reference for graduate students, scientists, and engineers in computer science, mathematics, and engineering.

Mathematics for the Analysis of Algorithms

Mathematics for the Analysis of Algorithms Author Daniel H. Greene
ISBN-10 9780817647292
Release 2009-05-21
Pages 132
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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.


ISBN-10 9788120346635
Release 2012-12-09
Pages 424
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This well organized text provides the design techniques of algorithms in a simple and straight forward manner. It describes the complete development of various algorithms along with their pseudo-codes in order to have an understanding of their applications. The book begins with a description of the fundamental concepts and basic design techniques of algorithms. Gradually, it introduces more complex and advanced topics such as dynamic programming, backtracking and various algorithms related to graph data structure. Finally, the text elaborates on NP-hard, matrix operations and sorting network. Primarily designed as a text for undergraduate students of Computer Science and Engineering and Information Technology (B.Tech., Computer Science, B.Tech. IT) and postgraduate students of Computer Applications (MCA), the book would also be quite useful to postgraduate students of Computer Science and IT (M.Sc., Computer Science; M.Sc., IT). New to this Second Edition 1. A new section on Characteristics of Algorithms (Section 1.3) has been added 2. Five new sections on Insertion Sort (Section 2.2), Bubble Sort (Section 2.3), Selection Sort (Section 2.4), Shell Sort/Diminishing Increment Sort/Comb Sort (Section 2.5) and Merge Sort (Section 2.6) have been included 3. A new chapter on Divide and Conquer (Chapter 5) has also been incorporated

Spatial Context

Spatial Context Author Christopher Gold
ISBN-10 9781498779104
Release 2018-04-17
Pages 218
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Many disciplines are concerned with manipulating geometric (or spatial) objects in the computer – such as geology, cartography, computer aided design (CAD), etc. – and each of these have developed their own data structures and techniques, often independently. Nevertheless, in many cases the object types and the spatial queries are similar, and this book attempts to find a common theme. The book starts with some of the basics of manipulating coordinate representations so that the resulting object descriptions may be usefully combined and queried. The first chapter should be of value to research students in fields with limited prerequisites in mathematics and computing. The book then considers the concepts necessary to express the spatial relationships between both 2D and 3D entities, whether points, lines, polygons or polyhedra, so that they may be queried, grouped or combined. A unifying theme is a discussion of the various types of boundaries between regions of space, based on the Voronoi diagram and its dual, the Delaunay triangulation, and various available static, dynamic and kinetic algorithms. Applications, including surface interpolation, crusts and skeletons, contour and watershed handling, scanned map processing and solid line-work for urban mapping, are then described: this leads to the Unified Spatial Model for 2D mapping and GIS. The last section examines 3D space – both simple shell models for building exteriors as well as true 3D, where volumetric elements may be defined, such as rooms and corridors. Shell models require some introduction to basic CAD structures, and solid 3D requires advanced edge-based data structures. Both of these application areas lead to straightforward modelling techniques and emphasize the moral of this book: the spatial dual is the context. Example application areas described include geology, geography, forestry, surveying, cosmology, CAD – and many others.