Mathematics for the Digital Systems Engineer : Essentials for Modern Cryptography, Computer Security and Communications Technology

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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 a way as possible. Every main chapter includes one or more case studies 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 objectsNumber 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 transactionsDiscrete 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 cosineExamples 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.