This book is designed to meet the complete requirements of Engineering Mathematics course of undergraduate syllabus, The book consists of seven chapters viz. infinite Series, Matrices, Expansion of Functions, Asymptotes, Curvature, Partial Differenciation , Multiple Integrals, Each chapter is treated in treated in systematic,logical and lucid manner, All these chapters are independent units in themselves. The students can go through the book picking up any chapter at any given times, without referring to other chapters, Hints, where ever necessary and answers of the questions in the exercises are given at the end of each exercise, Most of the questions-solved as well as unsolved-have been picked up from the examination papers of different universities and professional examinations, There are fully worked out examples and graded exercises (with answers) aimed at preparing the student for examination as well as higher studies, The authors have illustrated various methods to solve particular problems.
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.Employs an innovative and more comprehensive taxonomy of algorithm design techniquesCovers mathematical analysis of both no recursive and recursive algorithms, as well as empirical analysis and algorithm visualizationDiscusses limitations of algorithms and ways to overcome themTreats algorithms as problem-solving tools and develops algorithmic thinking by using puzzles and gamesContains over 600 exercises with hints for students and detailed solutions for instructorsNew exercises and engaging puzzlesTable of Contents1 Introduction 2 Fundamentals of the Analysis of Algorithm Efficiency 3 Brute Force and Exhaustive Search 4 Decrease-and-Conquer 5 Divide-and-Conquer 6 Transform-and-Conquer 7 Space and Time Trade-Offs 8 Dynamic Programming 9 Greedy Technique 10 Iterative Improvement 11 Limitations of Algorithm Power 12 Coping with the Limitations of Algorithm Power.
This acclaimed revision of a classic database systems text offers a complete background in the basics of database design, languages, and system implementation. It provides the latest information combined with real-world examples to help readers master concepts. All concepts are presented in a technically complete yet easy-to-understand style with notations kept to a minimum. A running example of a bank enterprise illustrates concepts at work. To further optimize comprehension, figures and examples, rather than proofs, portray concepts and anticipate results.
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