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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

Recursive algorithms

Imagine a traditional Matryoshka doll, commonly found in Russia. When you open the outermost doll, you find a smaller doll inside. Opening this smaller doll reveals an even smaller one within, and this process continues until you reach the smallest, indivisible doll at the core. This fascinating nested structure is a perfect analogy for understanding recursion in algorithms.

Just like the Matryoshka doll, a recursive algorithm solves a problem by breaking it down into smaller instances of the same problem. Each instance is simpler than the last, until a base case is reached, which can be solved directly without further recursion. This self-referential approach is a fundamental concept in computer science and is used to solve complex problems in a straightforward and elegant manner.

In this section, we will explore the principles of recursive algorithms, starting with their basic definition and properties. We will examine how recursion works, its advantages...

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Efficient Algorithm Design
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