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Discrete Mathematics With Cryptographic Applications
Discrete Mathematics With Cryptographic Applications

Discrete Mathematics With Cryptographic Applications: A Self-Teaching Guide to Unlocking the Power of Advanced Concepts and Computational Techniques

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Profile Icon Mercury Learning and Information Profile Icon Alexander I. Kheyfits
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€8.99 €59.99
eBook Aug 2024 382 pages 1st Edition
eBook
€8.99 €59.99
Arrow left icon
Profile Icon Mercury Learning and Information Profile Icon Alexander I. Kheyfits
Arrow right icon
€8.99 €59.99
eBook Aug 2024 382 pages 1st Edition
eBook
€8.99 €59.99
eBook
€8.99 €59.99

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Key benefits

  • Clear explanations of discrete mathematics concepts
  • Practical applications in cryptography
  • Numerous exercises for hands-on learning

Description

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.

Who is this book for?

This 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.

What you will learn

  • Master mathematical induction and recursive definitions
  • Understand propositional algebra
  • Explore groups, rings, and fields
  • Apply combinatorial techniques
  • Utilize Boolean functions in cryptography
  • Analyze algorithms and computational models

Product Details

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Publication date, Length, Edition, Language, ISBN-13
Publication date : Aug 02, 2024
Length: 382 pages
Edition : 1st
Language : English
ISBN-13 : 9781836646921
Category :
Concepts :

What do you get with eBook?

Product feature icon Instant access to your Digital eBook purchase
Product feature icon Download this book in EPUB and PDF formats
Product feature icon DRM FREE - Read whenever, wherever and however you want
Product feature icon AI Assistant (beta) to help accelerate your learning
OR
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Payment Processing...
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Product Details

Publication date : Aug 02, 2024
Length: 382 pages
Edition : 1st
Language : English
ISBN-13 : 9781836646921
Category :
Concepts :

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Table of Contents

26 Chapters
Chapter 1: A Brief Survey of Elementary Functions Chevron down icon Chevron up icon
Chapter 2: Propositional Algebra Chevron down icon Chevron up icon
Chapter 3: Naïve and Formal (Axiomatic) Set Theory Chevron down icon Chevron up icon
Chapter 4: Groups, Rings, and Fields Chevron down icon Chevron up icon
Chapter 5: Predicates and Quantifiers—Algebraic Theory Chevron down icon Chevron up icon
Chapter 6: Binary Relations and Relational Databases Chevron down icon Chevron up icon
Chapter 7: Combinatorics Chevron down icon Chevron up icon
Chapter 8: Elements of Number Theory Chevron down icon Chevron up icon
Chapter 9: Boolean Functions Chevron down icon Chevron up icon
Chapter 10: Hashing Functions and Cryptographic Maps Chevron down icon Chevron up icon
Chapter 11: Generating Polynomials and Inversion Formulas Chevron down icon Chevron up icon
Chapter 12: Systems of Representatives Chevron down icon Chevron up icon
Chapter 13: Boolean Algebras Chevron down icon Chevron up icon
Chapter 14: Combinatorial Circuits Chevron down icon Chevron up icon
Chapter 15: Complete Systems of Boolean Functions and Bases Chevron down icon Chevron up icon
Chapter 16: Introductory Graph Theory, Euler’s Formula, and Unbreakable Ciphers Chevron down icon Chevron up icon
Chapter 17: Trees and Digraphs Chevron down icon Chevron up icon
Chapter 18: Computations and Algorithms Chevron down icon Chevron up icon
Chapter 19: Finite Automata Chevron down icon Chevron up icon
Chapter 20: Introduction to Game Theory Chevron down icon Chevron up icon
Chapter 21: Information Theory and Coding Chevron down icon Chevron up icon
Chapter 22: Probability Theory with a Finite Sample Space and the Birthday Problem Chevron down icon Chevron up icon
Chapter 23: Turing Machines, P and NP Classes, and Other Models of Computation Chevron down icon Chevron up icon
Chapter 24: Answers and Solutions to Selected Exercises Chevron down icon Chevron up icon
Bibliography Chevron down icon Chevron up icon
Index Chevron down icon Chevron up icon
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