
Mathematics for the Digital Systems Engineer
Essentials for Modern Cryptography, Computer Security and Communications Technology
- English
- ePUB (mobile friendly)
- Available on iOS & Android
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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Information
Table of contents
- Cover
- Table of Contents
- Title Page
- Copyright
- Dedication
- List of Figures
- List of Tables
- About the Author
- Preface: Why This Book?
- Acknowledgements
- Table of Abbreviations
- About the Companion Site
- Chapter 1: A Gentle Introduction
- Chapter 2: Sets, Functions and Relations
- Chapter 3: Numbers as We Know and Love Them
- Chapter 4: Modular Arithmetic on the Integers
- Chapter 5: Groups
- Chapter 6: Rings and Fields
- Chapter 7: Polynomials and Polynomial Rings
- Chapter 8: Finite Fields
- Chapter 9: Why Stop Now?
- Answers to Questions for the Reader
- Further Reading
- Index
- End User License Agreement