an introduction to the analysis of algorithms 2nd edition

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An Introduction To The Analysis Of Algorithms

Author : Robert Sedgewick
ISBN : 9780133373486
Genre : Computers
File Size : 87. 45 MB
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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

An Introduction To The Analysis Of Algorithms

Author : Michael Soltys
ISBN : 9789814401173
Genre : Computers
File Size : 75. 57 MB
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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 — 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. Contents:PreliminariesGreedy AlgorithmsDivide and ConquerDynamic ProgrammingOnline AlgorithmsRandomized AlgorithmsAppendix A: Number Theory and Group TheoryAppendix B: RelationsAppendix C: Logic Readership: Students of undergraduate courses in algorithms and programming. Keywords:Algorithms;Greedy;Dynamic Programming;Online;Randomized;Loop InvariantKey Features:The book is concise, and of a portable size that can be conveniently carried around by studentsIt emphasizes correctness of algorithms: how to prove them correct, which is of great importance to software engineersIt contains a chapter on randomized algorithms and applications to cryptography, as well as a chapter on online algorithms and applications to caching/paging, both of which are relevant and current topicsReviews: “Summing up, the book contains very nice introductory material for beginners in the area of correct algorithm's design.” Zentralblatt MATH

Design And Analysis Of Algorithms 2nd Ed

ISBN : 9788120351646
Genre : Computers
File Size : 57. 2 MB
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This highly structured text, in its second edition, provides comprehensive coverage of design techniques of algorithms. It traces the complete development of various algorithms in a stepwise approach followed by their pseudo-codes to build an understanding of their applications in practice. With clear explanations, the textbook intends to be much more comprehensive book on design and analysis of algorithm. Commencing with the introduction, the book gives a detailed account of graphs and data structure. It then elaborately discusses the matrix algorithms, basic algorithms, network algorithms, sorting algorithm, backtracking algorithms and search algorithms. The text also focuses on the heuristics, dynamic programming and meta heuristics. The concepts of cryptography and probabilistic algorithms have been described in detail. Finally, the book brings out the underlying concepts of benchmarking of algorithms, algorithms to schedule processor(s) and complexity of algorithms. New to the second Edition New chapters on • Matrix algorithms • Basic algorithms • Backtracking algorithms • Complexity of algorithms Several new sections including asymptotic notation, amortized analysis, recurrences, balanced trees, skip list, disjoint sets, maximal flow algorithm, parsort, radix sort, selection sort, topological sorting/ordering, median and ordered statistics, Huffman coding algorithm, transportation problem, heuristics for scheduling, etc., have been incorporated into the text.

Analysis Of Algorithm And Design

Author : A.A.Puntambekar
ISBN : 8184316224
Genre :
File Size : 60. 76 MB
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Introduction To Algorithms

Author : Thomas H.. Cormen
ISBN : 0262032937
Genre : Computers
File Size : 27. 69 MB
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An extensively revised edition of a mathematically rigorous yet accessible introduction to algorithms.

A Programmer S Companion To Algorithm Analysis

Author : Ernst L. Leiss
ISBN : 9781420011708
Genre : Computers
File Size : 32. 96 MB
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Until now, no other book examined the gap between the theory of algorithms and the production of software programs. Focusing on practical issues, A Programmer's Companion to Algorithm Analysis carefully details the transition from the design and analysis of an algorithm to the resulting software program. Consisting of two main complementary parts, the book emphasizes the concrete aspects of translating an algorithm into software that should perform based on what the algorithm analysis indicated. In the first part, the author describes the idealized universe that algorithm designers inhabit while the second part outlines how this ideal can be adapted to the real world of programming. The book explores analysis techniques, including crossover points, the influence of the memory hierarchy, implications of programming language aspects, such as recursion, and problems arising from excessively high computational complexities of solution methods. It concludes with four appendices that discuss basic algorithms; memory hierarchy, virtual memory management, optimizing compilers, and garbage collection; NP-completeness and higher complexity classes; and undecidability in practical terms. Applying the theory of algorithms to the production of software, A Programmer's Companion to Algorithm Analysis fulfills the needs of software programmers and developers as well as students by showing that with the correct algorithm, you can achieve a functional software program.

Numerical Analysis With Applications In Mechanics And Engineering

Author : Petre Teodorescu
ISBN : 9781118614624
Genre : Computers
File Size : 53. 33 MB
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A much-needed guide on how to use numerical methods to solvepractical engineering problems Bridging the gap between mathematics and engineering,Numerical Analysis with Applications in Mechanics andEngineering arms readers with powerful tools for solvingreal-world problems in mechanics, physics, and civil and mechanicalengineering. Unlike most books on numerical analysis, thisoutstanding work links theory and application, explains themathematics in simple engineering terms, and clearly demonstrateshow to use numerical methods to obtain solutions and interpretresults. Each chapter is devoted to a unique analytical methodology,including a detailed theoretical presentation and emphasis onpractical computation. Ample numerical examples and applicationsround out the discussion, illustrating how to work out specificproblems of mechanics, physics, or engineering. Readers will learnthe core purpose of each technique, develop hands-onproblem-solving skills, and get a complete picture of the studiedphenomenon. Coverage includes: How to deal with errors in numerical analysis Approaches for solving problems in linear and nonlinearsystems Methods of interpolation and approximation of functions Formulas and calculations for numerical differentiation andintegration Integration of ordinary and partial differential equations Optimization methods and solutions for programmingproblems Numerical Analysis with Applications in Mechanics andEngineering is a one-of-a-kind guide for engineers usingmathematical models and methods, as well as for physicists andmathematicians interested in engineering problems.

Introduction To The Design Analysis Of Algorithms

Author : Anany Levitin
ISBN : 0132316811
Genre : Computers
File Size : 50. 56 MB
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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.

Introduction To Design And Analysis Of Algorithms 2 E

Author : Levitin
ISBN : 8131718379
Genre : Computer algorithms
File Size : 29. 52 MB
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Design And Analysis Of Algorithms

Author : Parag Himanshu Dave
ISBN : 8177585959
Genre : Algorithms
File Size : 84. 53 MB
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"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 p.

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