Efficient Algorithm Design : Unlock the Power of Algorithms to Optimize Computer Programming.

Format:

Book

Author/Creator:

Makrehchi, Masoud.

Language:

English

Subjects (All):

Computer algorithms.

Physical Description:

1 online resource (360 p.)

Place of Publication:

Birmingham, UK : Packt Publishing, Limited, 2024.

Summary:

Master advanced algorithm design techniques to tackle complex programming challenges and optimize application performance Key Features 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 Book 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. 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 Who this book is 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.

Contents:

Cover

Title Page

Copyright and Credits

Contributors

Table of Contents

Preface

Part 1: Foundations of Algorithm Analysis

Chapter 1: Introduction to Algorithm Analysis

Understanding algorithms and problem-solving

The rationale for algorithm analysis

The dual dimensions of algorithm analysis

efficiency and correctness

Summary

Chapter 2: Mathematical Induction and Loop Invariant for Algorithm Correctness

Mathematical induction

Loop invariants for the correctness of algorithms

References and further reading

Chapter 3: Rate of Growth for Complexity Analysis

Unpacking the rate of growth in algorithms

Constant growth

Sub-linear growth

Linear growth

Non-linear growth

Asymptotic notations

Simplification rules in asymptotic notation

Asymptotic bounds

Asymptotic upper bound (O notation)

Asymptotic lower bound (​ ​-notation)

Asymptotic tight bound (​ ​-notation)

Confronting the unsolvable NP-hard problems

Complexities of NP, NP-complete, and NP-hard

References and further reading

Chapter 4: Recursion and Recurrence Functions

Recursive algorithms

The basics of recursion

Types of recursion

Recurrence functions

Subtractive recurrence functions

Divide-and-conquer recurrence functions

Unfolding recurrence functions

Chapter 5: Solving Recurrence Functions

The substitution method

Iteration approach or unrolling the recurrence

Guessing and induction approach

Variable change approach

Recursion tree as a visualization technique

The master theorem

Case 1

dominance of recursive calls or leaf-heavy recursion trees

Case 2

balanced growth or balanced recursion trees

Case 3

dominance of non-recursive work or root-heavy recursion trees

Modified master theorem to solve subtracting recurrence functions

Master theorem limitations

Alternative approaches

Beyond the master theorem

the Akra-Bazzi method

Why does it work? Intuition behind Akra-Bazzi

Part 2: Deep Dive in Algorithms

Chapter 6: Sorting Algorithms

The taxonomy of sorting algorithms

Comparison

Recursion

Adaptability

Inversion

Memory usage

Iterative sorting algorithms

Bubble sort

Selection sort

Insertion sort

Recursive sorting algorithms

Merge sort

Quick sort

Non-comparison-based sorting

Counting sort

Radix sort

Bucket sort

Chapter 7: Search Algorithms

Properties of search algorithms

Linear-time and logarithmic search algorithms

Linear or sequential search

Sub-linear search

Hashing

Hash functions

Constant time search using hashing

Chapter 8: Symbiotic Relationship between Sort and Search

Notes:

OCLC-licensed vendor bibliographic record.

ISBN:

9781835886823

1835886825

OCLC:

1463082322