Mathematics for the Digital Systems Engineer
eBook - ePub

Mathematics for the Digital Systems Engineer

Essentials for Modern Cryptography, Computer Security and Communications Technology

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Mathematics for the Digital Systems Engineer

Essentials for Modern Cryptography, Computer Security and Communications Technology

About this book

Straightforward resource on the mathematics underpinning the AI/digital world

Mathematics for the Digital Systems Engineer shines a light on the mathematics behind modern cryptography and related areas of communications and security, building from the basics up to more complex mathematical concepts in as simple of a way as possible. Every main chapter includes one or more case study of the discussed mathematics applied to real-world digital technologies.

In Mathematics for the Digital Systems Engineer, readers will learn about:

  • Abstract algebra, which looks at what happens when we think about some of the rules underpinning addition and multiplication of numbers, and apply these rules to operations on more general objects
  • Number theory, which is concerned with establishing facts about the whole numbers we use every day, and has significant importance in our modern methods for data encryption in financial transactions
  • Discrete mathematics, exploring the mathematics of discrete objects (such as the numbers one, two, and three) as opposed to the world of continuous functions, like the trigonometric functions sine or cosine
  • Examples of how many "pure" forms of mathematics—those developed without applications in mind—are now, ironically, being used at the foundation of many modern technologies

Mathematics for the Digital Systems Engineer delivers essential mathematical grounding for engineers and computer scientists who find themselves working with and implementing modern information and communications technology, including cryptography and error control codes.

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Yes, you can access Mathematics for the Digital Systems Engineer by Chris J. Mitchell in PDF and/or ePUB format, as well as other popular books in Computer Science & Cryptography. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Table of Contents
  3. Title Page
  4. Copyright
  5. Dedication
  6. List of Figures
  7. List of Tables
  8. About the Author
  9. Preface: Why This Book?
  10. Acknowledgements
  11. Table of Abbreviations
  12. About the Companion Site
  13. Chapter 1: A Gentle Introduction
  14. Chapter 2: Sets, Functions and Relations
  15. Chapter 3: Numbers as We Know and Love Them
  16. Chapter 4: Modular Arithmetic on the Integers
  17. Chapter 5: Groups
  18. Chapter 6: Rings and Fields
  19. Chapter 7: Polynomials and Polynomial Rings
  20. Chapter 8: Finite Fields
  21. Chapter 9: Why Stop Now?
  22. Answers to Questions for the Reader
  23. Further Reading
  24. Index
  25. End User License Agreement