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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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Part 1: Foundations of Algorithm Analysis
7
Part 2: Deep Dive in Algorithms
13
Part 3: Fundamental Data Structures
17
Part 4: Next Steps

Exploring dynamic programming

One question that arises when we identify overlapping subproblems is: how can we store these solutions to avoid redundant computations? This is where dynamic programming introduces the concept of memoization. It involves storing the results of subproblems in a data structure, such as an array or a dictionary, so that when the same subproblem arises again, the stored result can be used immediately, eliminating the need for recalculation.

Before we begin, it’s important to clarify that “memoization” is not a misspelling of “memorization.” These two terms have distinct meanings. Memoization comes from the Latin word “memo,” which means “to be remembered.” It refers to a technique in computer science where the results of expensive function calls are stored and reused to avoid redundant calculations. In contrast, memorization refers to the process of learning and committing information to memory...

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Efficient Algorithm Design
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