Discrete Mathematics With Cryptographic Applications (eBook)

This book offers a comprehensive guide to discrete mathematics and its applications to cryptography. It is designed for students and professionals in fields such as discrete mathematics and finite mathematics, with all necessary prerequisites clearly explained and illustrated. The text introduces key concepts in number theory, coding theory, and information theory, which are essential for understanding cryptography.
Understanding discrete mathematics is crucial for anyone working in cryptography and related fields. The book begins with a survey of elementary functions and moves on to propositional algebra, set theory, and algebraic structures like groups, rings, and fields. It covers binary relations, combinatorics, and elements of number theory, which are fundamental to cryptographic methods.
Readers will explore topics such as Boolean functions, hashing functions, cryptographic maps, combinatorial circuits, and graph theory. The book also delves into advanced areas like finite automata, game theory, and Turing machines. Through numerous examples, problems, and solutions, readers will gain a solid foundation in discrete mathematics and its cryptographic applications.

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Discover the fundamentals of discrete mathematics with practical cryptographic applications. This self-teaching guide offers clear explanations, detailed examples, and numerous exercises to solidify understanding.Key FeaturesClear explanations of discrete mathematics conceptsPractical applications in cryptographyNumerous exercises for hands-on learningBook DescriptionThis book offers a comprehensive guide to discrete mathematics and its applications to cryptography. It is designed for students and professionals in fields such as discrete mathematics and finite mathematics, with all necessary prerequisites clearly explained and illustrated. The text introduces key concepts in number theory, coding theory, and information theory, which are essential for understanding cryptography. Understanding discrete mathematics is crucial for anyone working in cryptography and related fields. The book begins with a survey of elementary functions and moves on to propositional algebra, set theory, and algebraic structures like groups, rings, and fields. It covers binary relations, combinatorics, and elements of number theory, which are fundamental to cryptographic methods. Readers will explore topics such as Boolean functions, hashing functions, cryptographic maps, combinatorial circuits, and graph theory. The book also delves into advanced areas like finite automata, game theory, and Turing machines. Through numerous examples, problems, and solutions, readers will gain a solid foundation in discrete mathematics and its cryptographic applications.What you will learnMaster mathematical induction and recursive definitionsUnderstand propositional algebraExplore groups, rings, and fieldsApply combinatorial techniquesUtilize Boolean functions in cryptographyAnalyze algorithms and computational modelsWho this book is forThis book is designed for students, professionals, and enthusiasts interested in discrete mathematics and cryptography. Readers should have a basic understanding of algebra and calculus. Prior programming experience is helpful but not required.]]>