An Elementary Approach To Design And Analysis Of Algorithms

Author : Lekh Rej Vermani,Shalini Vermani
Publisher : World Scientific
Page : 534 pages
File Size : 42,6 Mb
Release : 2019-05-29
Category : Computers
ISBN : 9781786346773

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An Elementary Approach To Design And Analysis Of Algorithms by Lekh Rej Vermani,Shalini Vermani Pdf

'The book under review is an interesting elaboration that fills the gaps in libraries for concisely written and student-friendly books about essentials in computer science … I recommend this book for anyone who would like to study algorithms, learn a lot about computer science or simply would like to deepen their knowledge … The book is written in very simple English and can be understood even by those with limited knowledge of the English language. It should be emphasized that, despite the fact that the book consists of many examples, mathematical formulas and theorems, it is very hard to find any mistakes, errors or typos.'zbMATHIn computer science, an algorithm is an unambiguous specification of how to solve a class of problems. Algorithms can perform calculation, data processing and automated reasoning tasks.As an effective method, an algorithm can be expressed within a finite amount of space and time and in a well-defined formal language for calculating a function. Starting from an initial state and initial input (perhaps empty), the instructions describe a computation that, when executed, proceeds through a finite number of well-defined successive states, eventually producing 'output' and terminating at a final ending state. The transition from one state to the next is not necessarily deterministic; some algorithms, known as randomized algorithms, incorporate random input.This book introduces a set of concepts in solving problems computationally such as Growth of Functions; Backtracking; Divide and Conquer; Greedy Algorithms; Dynamic Programming; Elementary Graph Algorithms; Minimal Spanning Tree; Single-Source Shortest Paths; All Pairs Shortest Paths; Flow Networks; Polynomial Multiplication, to ways of solving NP-Complete Problems, supported with comprehensive, and detailed problems and solutions, making it an ideal resource to those studying computer science, computer engineering and information technology.

Author : Lekh R. Vermani,Shalini Vermani
Publisher : Unknown
Page : 128 pages
File Size : 40,5 Mb
Release : 2019
Category : Electronic
ISBN : 1786346761

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An Elementary Approach to Design and Analysis of Algorithms by Lekh R. Vermani,Shalini Vermani Pdf

Author : Ruth Beyth-Marom,Shlomith Dekel,Ruth Gombo,Moshe Shaked
Publisher : Routledge
Page : 161 pages
File Size : 50,7 Mb
Release : 2013-05-13
Category : Education
ISBN : 9781134923861

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An Elementary Approach To Thinking Under Uncertainty by Ruth Beyth-Marom,Shlomith Dekel,Ruth Gombo,Moshe Shaked Pdf

Published in the year 1985, An Elementary Approach To Thinking Under Uncertainty is a valuable contribution to the field of Cognitive Psychology.

Author : Robert Sedgewick,Philippe Flajolet
Publisher : Addison-Wesley
Page : 734 pages
File Size : 52,8 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 : Anany Levitin
Publisher : Addison Wesley
Page : 536 pages
File Size : 50,9 Mb
Release : 2003
Category : Algorithms
ISBN : UCSC:32106016997121

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Introduction to the Design & Analysis of Algorithms by Anany Levitin Pdf

Based on a new classification of algorithm design techniques and a clear delineation of analysis methods,Introduction to the Design and Analysis of Algorithmspresents the subject in a truly innovative manner.Written in a reader-friendly style, the book encourages broad problem-solving skills while thoroughly covering the material required for introductory algorithms. The author emphasizes conceptual understanding before the introduction of the formal treatment of each technique. Popular puzzles are used to motivate readers' interest and strengthen their skills in algorithmic problem solving. Other enhancement features include chapter summaries, hints to the exercises, and a solution manual.For those interested in learning more about algorithms.

Author : Mark S Nixon
Publisher : World Scientific
Page : 305 pages
File Size : 45,9 Mb
Release : 2022-03-10
Category : Mathematics
ISBN : 9781800611122

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D'oh! Fourier: Theory, Applications, And Derivatives by Mark S Nixon Pdf

D'oh! Fourier introduces the Fourier transform and is aimed at undergraduates in Computer Science, Mathematics, and Applied Sciences, as well as for those wishing to extend their education. Formulated around ten key points, this accessible book is light-hearted and illustrative, with many applications. The basis and deployment of the Fourier transform are covered applying real-world examples throughout inductively rather than the theoretical approach deductively.The key components of the textbook are continuous signals analysis, discrete signals analysis, image processing, applications of Fourier analysis, together with the origin and nature of the transform itself. D'oh! Fourier is reproducible via MATLAB/Octave and is supported by a comprehensive website which provides the code contained within the book.

Author : M. H. Alsuwaiyel
Publisher : World Scientific
Page : 545 pages
File Size : 54,7 Mb
Release : 1999
Category : Mathematics
ISBN : 9789812386397

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Algorithms by M. H. Alsuwaiyel Pdf

Problem solving is an essential part of every scientific discipline. It has two components: (1) problem identification and formulation, and (2) solution of the formulated problem. One can solve a problem on its own using ad hoc techniques or follow those techniques that have produced efficient solutions to similar problems. This requires the understanding of various algorithm design techniques, how and when to use them to formulate solutions and the context appropriate for each of them. This book advocates the study of algorithm design techniques by presenting most of the useful algorithm design techniques and illustrating them through numerous examples. Contents: Basic Concepts and Introduction to Algorithms: Basic Concepts in Algorithmic Analysis; Mathematical Preliminaries; Data Structures; Heaps and the Disjoint Sets Data Structures; Techniques Based on Recursion: Induction; Divide and Conquer; Dynamic Programming; First-Cut Techniques: The Greedy Approach; Graph Traversal; Complexity of Problems: NP-Complete Problems; Introduction to Computational Complexity; Lower Bounds; Coping with Hardness: Backtracking; Randomized Algorithms; Approximation Algorithms; Iterative Improvement for Domain-Specific Problems: Network Flow; Matching; Techniques in Computational Geometry: Geometric Sweeping; Voronoi Diagrams. Readership: Senior undergraduates, graduate students and professionals in software development.

Author : J. Hromkovic
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 50,9 Mb
Release : 2005-06-14
Category : Computers
ISBN : 9783540239499

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Design and Analysis of Randomized Algorithms by J. Hromkovic Pdf

Systematically teaches key paradigmic algorithm design methods Provides a deep insight into randomization

Author : S. D. Conte,Carl De Boor
Publisher : SIAM
Page : 474 pages
File Size : 54,8 Mb
Release : 2018-02-27
Category : Science
ISBN : 9781611975208

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Elementary Numerical Analysis by S. D. Conte,Carl De Boor Pdf

This book provides a thorough and careful introduction to the theory and practice of scientific computing at an elementary, yet rigorous, level, from theory via examples and algorithms to computer programs. The original FORTRAN programs have been rewritten in MATLAB and now appear in a new appendix and online, offering a modernized version of this classic reference for basic numerical algorithms.

Author : Dexter Kozen
Publisher : Springer Science & Business Media
Page : 338 pages
File Size : 48,5 Mb
Release : 1992
Category : Computers
ISBN : 0387976876

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The Design and Analysis of Algorithms by Dexter Kozen Pdf

These are my lecture notes from CS681: Design and Analysis of AlgoƯ rithms, a one-semester graduate course I taught at Cornell for three consecƯ 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 : Anne Benoit,Yves Robert,Frédéric Vivien
Publisher : CRC Press
Page : 380 pages
File Size : 45,5 Mb
Release : 2013-08-27
Category : Computers
ISBN : 9781439898130

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A Guide to Algorithm Design by Anne Benoit,Yves Robert,Frédéric Vivien Pdf

Presenting a complementary perspective to standard books on algorithms, A Guide to Algorithm Design: Paradigms, Methods, and Complexity Analysis provides a roadmap for readers to determine the difficulty of an algorithmic problem by finding an optimal solution or proving complexity results. It gives a practical treatment of algorithmic complexity and guides readers in solving algorithmic problems. Divided into three parts, the book offers a comprehensive set of problems with solutions as well as in-depth case studies that demonstrate how to assess the complexity of a new problem. Part I helps readers understand the main design principles and design efficient algorithms. Part II covers polynomial reductions from NP-complete problems and approaches that go beyond NP-completeness. Part III supplies readers with tools and techniques to evaluate problem complexity, including how to determine which instances are polynomial and which are NP-hard. Drawing on the authors’ classroom-tested material, this text takes readers step by step through the concepts and methods for analyzing algorithmic complexity. Through many problems and detailed examples, readers can investigate polynomial-time algorithms and NP-completeness and beyond.

Author : Michael David
Publisher : Unknown
Page : 80 pages
File Size : 47,5 Mb
Release : 2021-01-04
Category : Electronic
ISBN : 9798590247790

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Introduction to Algorithms by Michael David Pdf

This book covers techniques for the design and analysis of algorithms. The algorithmic techniques covered include: divide and conquer, backtracking, dynamic programming, greedy algorithms, and hill-climbing.Any solvable problem generally has at least one algorithm of each of the following types:1.the obvious way;2.the methodical way;3.the clever way; and4.the miraculous way.On the first and most basic level, the "obvious" solution might try to exhaustively search for the answer. Intuitively, the obvious solution is the one that comes easily if you're familiar with a programming language and the basic problem solving techniques.The second level is the methodical level and is the heart of this book: after understanding the material presented here you should be able to methodically turn most obvious algorithms into better performing algorithms.The third level, the clever level, requires more understanding of the elements involved in the problem and their properties or even a reformulation of the algorithm (e.g., numerical algorithms exploit mathematical properties that are not obvious). A clever algorithm may be hard to understand by being non-obvious that it is correct, or it may be hard to understand that it actually runs faster than what it would seem to require.The fourth and final level of an algorithmic solution is the miraculous level: this is reserved for the rare cases where a breakthrough results in a highly non-intuitive solution.Naturally, all of these four levels are relative, and some clever algorithms are covered in this book as well, in addition to the methodical techniques. Let's begin.

Author : Gyanendra Kumar Dwivedi
Publisher : Firewall Media
Page : 254 pages
File Size : 54,8 Mb
Release : 2007
Category : Electronic
ISBN : 8131801160

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Analysis and Design of Algorithm by Gyanendra Kumar Dwivedi Pdf

Author : Richard Char-Tung Lee
Publisher : Unknown
Page : 723 pages
File Size : 42,5 Mb
Release : 2005
Category : Computer algorithms
ISBN : 0071085769

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Introduction to the Design and Analysis of Algorithms by Richard Char-Tung Lee Pdf

Author : Michael Soltys
Publisher : World Scientific
Page : 211 pages
File Size : 41,8 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.