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Efficient Algorithm Design

Efficient Algorithm Design

By : Masoud Makrehchi
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Efficient Algorithm Design

Efficient Algorithm Design

By: Masoud Makrehchi

Overview of this book

Efficient Algorithm Design redefines algorithms, tracing the evolution of computer science as a discipline bridging natural science and mathematics. Author Masoud Makrehchi, PhD, with his extensive experience in delivering publications and presentations, explores the duality of computers as mortal hardware and immortal algorithms. The book guides you through essential aspects of algorithm design and analysis, including proving correctness and the importance of repetition and loops. This groundwork sets the stage for exploring algorithm complexity, with practical exercises in design and analysis using sorting and search as examples. Each chapter delves into critical topics such as recursion and dynamic programming, reinforced with practical examples and exercises that link theory with real-world applications. What sets this book apart is its focus on the practical application of algorithm design and analysis, equipping you to solve real programming challenges effectively. By the end of this book, you’ll have a deep understanding of algorithmic foundations and gain proficiency in designing efficient algorithms, empowering you to develop more robust and optimized software solutions.
Table of Contents (21 chapters)
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1
Part 1: Foundations of Algorithm Analysis
7
Part 2: Deep Dive in Algorithms
13
Part 3: Fundamental Data Structures
17
Part 4: Next Steps

Abstract data types

An Abstract Data Type (ADT) is a mathematical model for data types where the data type is defined by its behavior (operations), rather than its implementation. An ADT encapsulates data and the operations that can be performed on that data, abstracting away the implementation details. In other words, an ADT specifies what operations are possible and what their behavior is, but not how these operations are implemented.

ADTs are fundamental in computer science because they allow developers to work with data in a more flexible and modular way. By defining operations without specifying implementation details, ADTs enable code to be more maintainable and adaptable to different contexts.

ADTs can be broadly categorized into several types, based on the operations they support and the use cases they address. Here are some common types:

  • List: A list is an ADT that represents an ordered collection of elements, where each element has a specific position within...
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Efficient Algorithm Design
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