Algorithms

Author: M H Alsuwaiyel
Publisher: World Scientific
ISBN: 9814723665
Size: 54.79 MB
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Problem solving is an essential part of every scientific discipline. It has two components: (1) problem identification and formulation, and (2) the solution to the formulated problem. One can solve a problem on its own using ad hoc techniques or by following 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. Algorithms: Design Techniques and Analysis advocates the study of algorithm design by presenting the most useful techniques and illustrating them with numerous examples — emphasizing on design techniques in problem solving rather than algorithms topics like searching and sorting. Algorithmic analysis in connection with example algorithms are explored in detail. Each technique or strategy is covered in its own chapter through numerous examples of problems and their algorithms. Readers will be equipped with problem solving tools needed in advanced courses or research in science and engineering. Contents:Basic Concepts and Introduction to Algorithms:Basic Concepts in Algorithmic AnalysisData StructuresHeaps and the Disjoint Sets Data StructuresTechniques Based on Recursion:InductionDivide and ConquerDynamic ProgrammingFirst-Cut Techniques:The Greedy ApproachGraph TraversalComplexity of Problems:NP-Complete ProblemsIntroduction to Computational ComplexityLower BoundsCoping with Hardness:BacktrackingRandomized AlgorithmsApproximation AlgorithmsIteractive Improvement for Domain-Specific Problems:Network FlowMatchingTechniques in Computational Geometry:Geometric SweepingVoronoi DiagramsAppendices:Mathematical PreliminariesIntroduction to Discrete Probability Readership: Senior undergraduates, graduate students and professionals in software development. Readers in advanced courses or research in science and engineering. Key Features:It covers many topics that are not in any other book on algorithmsIt covers a wide range of design techniques each in its own chapterKeywords:Algorithms;Algorithm Design;Algorithm Analysis

Introduction To Algorithms

Author: Udi Manber
Publisher: Addison Wesley
ISBN: 9780201120370
Size: 12.76 MB
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This book emphasizes the creative aspects of algorithm design by examining steps used in the process of algorithm development. The heart of the creative process lies in an analogy between proving mathematical theorems by induction and designing combinatorial algorithms. The book contains hundreds of problems and examples. It is designed to enhance the reader's problem-solving abilities and understanding of the principles behind algorithm design. 0201120372B04062001

Computer Mathematics

Author: Kiyoshi Shirayanagi
Publisher: World Scientific
ISBN: 9789812799661
Size: 40.84 MB
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This volume covers some of the most recent and significant advances in computer mathematics, including algebraic, symbolic, numeric and geometric computation, automated mathematical reasoning, mathematical software and computer-aided geometric design. Researchers, engineers, academics and graduate students interested in doing mathematics using computers will find this volume good reading and a valuable reference. Contents: Solution of a Linear Differential Equations in the Form of Power Series and Its Application (T Kitamoto); On the Specification for Solvers of Polynomial Systems (D Lazard); OMEI: An Open Mathematical Engine Interface (W Liao et al.); Polynomial Solutions of Algebraic Differential Equations (Y Ma & X-S Gao); FIGUE: Mathematical Formula Layout with Interaction and MathML Support (H Naciri & L Rideau); An Inductive Approach to Formalizing Notions of Number Theory Proofs (T M Rasmussen); A Generalized Algorithm for Computing Characteristic Sets (D Wang); Action Refinement for Timed LOTOS (J Wu); Exact Analytical Solutions to a Set of Coupled Nonlinear Differential Equations Using Symbolic Computation (R-X Yao & Z-B Li); and other papers. Readership: Researchers, engineers, academics and graduate students in numerical & computational mathematics, theoretical computer science, mathematical modeling, analysis & differential equations, software engineering/programming, algebra & number theory, and logic.

Computing In Euclidean Geometry

Author: Ding-Zhu Du
Publisher: World Scientific
ISBN: 9789810218768
Size: 12.93 MB
Format: PDF, Mobi
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This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry. Topics covered include the history of Euclidean geometry, Voronoi diagrams, randomized geometric algorithms, computational algebra, triangulations, machine proofs, topological designs, finite-element mesh, computer-aided geometric designs and Steiner trees. This second edition contains three new surveys covering geometric constraint solving, computational geometry and the exact computation paradigm.

A Guide To Algorithm Design

Author: Anne Benoit
Publisher: CRC Press
ISBN: 1439898138
Size: 50.76 MB
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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.

Algorithms

Author: Harsh Bhasin
Publisher:
ISBN: 9780199456666
Size: 46.58 MB
Format: PDF, Docs
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Digital Electronics 1

Author: Tertulien Ndjountche
Publisher: John Wiley & Sons
ISBN: 1119318637
Size: 54.25 MB
Format: PDF, Mobi
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The omnipresence of electronic devices in our everyday lives has been accompanied by the downscaling of chip feature sizes and the ever increasing complexity of digital circuits. This book is devoted to the analysis and design of digital circuits, where the signal can assume only two possible logic levels. It deals with the basic principles and concepts of digital electronics. It addresses all aspects of combinational logic and provides a detailed understanding of logic gates that are the basic components in the implementation of circuits used to perform functions and operations of Boolean algebra. Combinational logic circuits are characterized by outputs that depend only on the actual input values. Efficient techniques to derive logic equations are proposed together with methods of analysis and synthesis of combinational logic circuits. Each chapter is well structured and is supplemented by a selection of solved exercises covering logic design practices.

Management And Entrepreneurship

Author: N V R Naidu
Publisher: I. K. International Pvt Ltd
ISBN: 8190675788
Size: 53.21 MB
Format: PDF, ePub
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This book is intended to serve as a textbook for Engineering and Management courses. It seeks to develop an understanding of the concepts of management and entrepreneurship. The chapters are well planned to cover basic functions of management and entrepreneurship, small scale industry, institutional support and project preparation. SALIENT FEATURES: * Comprehensive and easy to understand, requires no previous knowledge of the subject. * Presented in a simple and systematic manner. * Review questions for the benefit of students.

Algorithmics Of Large And Complex Networks

Author: Jürgen Lerner
Publisher: Springer Science & Business Media
ISBN: 3642020933
Size: 47.80 MB
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A state-of-the-art survey that reports on the progress made in selected areas of this important and growing field, aiding the analysis of existing networks and the design of new and more efficient algorithms for solving various problems on these networks.

Design And Analysis Of Approximation Algorithms

Author: Ding-Zhu Du
Publisher: Springer Science & Business Media
ISBN: 1461417015
Size: 50.22 MB
Format: PDF, ePub
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This book is intended to be used as a textbook for graduate students studying theoretical computer science. It can also be used as a reference book for researchers in the area of design and analysis of approximation algorithms. Design and Analysis of Approximation Algorithms is a graduate course in theoretical computer science taught widely in the universities, both in the United States and abroad. There are, however, very few textbooks available for this course. Among those available in the market, most books follow a problem-oriented format; that is, they collected many important combinatorial optimization problems and their approximation algorithms, and organized them based on the types, or applications, of problems, such as geometric-type problems, algebraic-type problems, etc. Such arrangement of materials is perhaps convenient for a researcher to look for the problems and algorithms related to his/her work, but is difficult for a student to capture the ideas underlying the various algorithms. In the new book proposed here, we follow a more structured, technique-oriented presentation. We organize approximation algorithms into different chapters, based on the design techniques for the algorithms, so that the reader can study approximation algorithms of the same nature together. It helps the reader to better understand the design and analysis techniques for approximation algorithms, and also helps the teacher to present the ideas and techniques of approximation algorithms in a more unified way.