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Efficient Algorithm Design
Efficient Algorithm Design

Efficient Algorithm Design: Unlock the power of algorithms to optimize computer programming

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Profile Icon Masoud Makrehchi
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Paperback Oct 2024 360 pages 1st Edition
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Arrow left icon
Profile Icon Masoud Makrehchi
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$19.99 per month
Paperback Oct 2024 360 pages 1st Edition
eBook
$24.99 $35.99
Paperback
$43.99
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Free Trial
Renews at $19.99p/m
eBook
$24.99 $35.99
Paperback
$43.99
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Renews at $19.99p/m

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Efficient Algorithm Design

Introduction to Algorithm Analysis

The goal of this book is to demystify algorithms, making them accessible and actionable for readers who wish to enhance their understanding of algorithmic design, analysis, and application within various fields of technology. Although designed for software engineers, computer scientists, and other professionals familiar with algorithms and eager to enhance their skills, this book is equipped with sufficient depth and resources to provide a head start for early-career professionals through more practice and effort. By exploring both the theoretical underpinnings and practical implementations, this book aims to bridge the gap between academic study and real-world technological applications.

In this opening chapter, we explore the essential nature of algorithms, defining them as structured, systematic tools crucial for problem-solving in computing and other fields. We explore the significant role of algorithms through a detailed examination of the...

Understanding algorithms and problem-solving

René Descartes (1596-1650), the French philosopher and mathematician, is renowned for his theory of mind-body dualism. He proposed that the mind and body are two fundamentally distinct substances: the mind as a non-extended, thinking entity and the body as an extended, non-thinking entity. Descartes believed in the interaction between these substances while maintaining their separateness and independent existence. This dualistic view emphasizes the separation of the mental (mind) and physical (body) aspects, positing that they differ in nature. His theory has had a significant influence on philosophical discussions about consciousness and the relationship between mind and body.

But why are we starting our discussion about algorithms with Descartes’ theory of dualism, despite serious criticisms of it from philosophers? The answer lies in the model’s ability to aid our understanding of the essence of algorithms and their...

The rationale for algorithm analysis

In the last two decades, we have witnessed extraordinary advancements in advanced computational systems, particularly in fields such as Artificial Intelligence (AI), Machine Learning, Deep Learning, Robotics, and Computer Vision. This progress owes more to two significant revolutions in the tech world and information society than to improvements in algorithm design. The first revolution was the availability of vast amounts of data following the public release of the Internet in 1991. The second was the tremendous advancements in hardware, including the development of powerful yet affordable processors such as Graphical Processing Units (GPUs) and the creation of ultra-high-capacity memory and storage solutions.

Despite these remarkable improvements in computational resources, the study and analysis of algorithms remain critically important for several reasons:

  • Algorithm correctness: Irrespective of the abundance of computational resources...

The dual dimensions of algorithm analysis – efficiency and correctness

The objective of algorithm analysis is indeed twofold. Firstly, it seeks to ascertain the correctness of an algorithm. An algorithm is considered correct if it consistently solves the intended problem and produces the right output for all valid inputs. This correctness hinges on two critical criteria:

  • Termination: An algorithm must always conclude after a finite number of steps. It should not fall into perpetual loops or continue indefinitely, regardless of the input provided.
  • Validity: The algorithm must yield the expected outcome or a valid solution for every possible input. It needs to adhere to the problem’s specifications and requirements precisely.

Interestingly, demonstrating an algorithm’s correctness cannot be conclusively achieved merely by testing it with numerous positive examples. While many successful test cases may suggest correctness, it takes only a single...

Summary

This chapter introduced the fundamental nature of algorithms, emphasizing their role as structured and systematic tools for effective problem-solving across various fields. It began with a comprehensive definition and explored the distinct aspects of algorithms, including their dependence on the dual nature of hardware and software, influenced by physical laws and mathematical principles, respectively. The chapter focused on the critical importance of algorithm analysis, which revealed the necessity of evaluating algorithms, particularly as hardware becomes more accessible and cost-effective. It sets the stage for you to explore the complexities and applications of algorithms through guided and structured learning paths. This introductory chapter served as a foundational step toward mastering the art of algorithm analysis and application. The next chapter will establish the essential mathematical foundation that every software practitioner needs for effective algorithm analysis...

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Key benefits

  • Develop advanced algorithm design skills to solve modern computational problems
  • Learn state-of-the-art techniques to deepen your understanding of complex algorithms
  • Apply your skills to real-world scenarios, enhancing your expertise in today's tech landscape
  • Purchase of the print or Kindle book includes a free PDF eBook

Description

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.

Who is this book for?

If you’re a software engineer, computer scientist, or a student in a related field looking to deepen your understanding of algorithm design and analysis, this book is tailored for you. A foundation in programming and a grasp of basic mathematical concepts is recommended. It's an ideal resource for those already familiar with the basics of algorithms who want to explore more advanced topics. Data scientists and AI developers will find this book invaluable for enhancing their algorithmic approaches in practical applications.

What you will learn

  • Gain skills in advanced algorithm design for better problem-solving
  • Understand algorithm correctness and complexity for robust software
  • Apply theoretical concepts to real-world scenarios for practical solutions
  • Master sorting and search algorithms, understanding their synergy
  • Explore recursion and recurrence for complex algorithmic structures
  • Leverage dynamic programming to optimize algorithms
  • Grasp the impact of data structures on algorithm efficiency and design

Product Details

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Publication date, Length, Edition, Language, ISBN-13
Publication date : Oct 31, 2024
Length: 360 pages
Edition : 1st
Language : English
ISBN-13 : 9781835886823
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Product Details

Publication date : Oct 31, 2024
Length: 360 pages
Edition : 1st
Language : English
ISBN-13 : 9781835886823
Category :

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Table of Contents

20 Chapters
Part 1: Foundations of Algorithm Analysis Chevron down icon Chevron up icon
Chapter 1: Introduction to Algorithm Analysis Chevron down icon Chevron up icon
Chapter 2: Mathematical Induction and Loop Invariant for Algorithm Correctness Chevron down icon Chevron up icon
Chapter 3: Rate of Growth for Complexity Analysis Chevron down icon Chevron up icon
Chapter 4: Recursion and Recurrence Functions Chevron down icon Chevron up icon
Chapter 5: Solving Recurrence Functions Chevron down icon Chevron up icon
Part 2: Deep Dive in Algorithms Chevron down icon Chevron up icon
Chapter 6: Sorting Algorithms Chevron down icon Chevron up icon
Chapter 7: Search Algorithms Chevron down icon Chevron up icon
Chapter 8: Symbiotic Relationship between Sort and Search Chevron down icon Chevron up icon
Chapter 9: Randomized Algorithms Chevron down icon Chevron up icon
Chapter 10: Dynamic Programming Chevron down icon Chevron up icon
Part 3: Fundamental Data Structures Chevron down icon Chevron up icon
Chapter 11: Landscape of Data Structures Chevron down icon Chevron up icon
Chapter 12: Linear Data Structures Chevron down icon Chevron up icon
Chapter 13: Non-Linear Data Structures Chevron down icon Chevron up icon
Part 4: Next Steps Chevron down icon Chevron up icon
Chapter 14: Tomorrow’s Algorithms Chevron down icon Chevron up icon
Index Chevron down icon Chevron up icon
Other Books You May Enjoy Chevron down icon Chevron up icon
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