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    1. Naturvetenskap och teknik
    2. Matematik och naturvetenskap
    3. Matematik
    4. Diskret matematik

    Mathematics in Cybersecurity

    AvAlfred Basta,Stephan Delong

    Inbunden, Engelska, 2026

    1 255 kr

    Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

    Beskrivning

    Balanced, in-depth exploration of mathematics in cybersecurity, supported by case studies and other learning features With clear and concise explanations, practical examples, case studies, and real-world applications, Mathematics in Cybersecurity is an essential learning aid for readers seeking an understanding of the fundamental concepts in the field. This comprehensive book delves into a wide range of topics, including sets, logic, binary and other number systems, logic gates, combinatorial logic circuits, equations and graphs, linear equations and matrices, sequences and series. Other topics covered include right triangle geometry and trigonometry, exponential and logarithmic equations, probability, statistics, graph theory, and cryptography. The book is an ideal companion resource for courses involving mathematical concepts in cybersecurity. It allows tailoring of the content to meet the needs of career education and online schools, ensuring it is comprehensible to students who may be learning remotely and relying on self-study. Mathematics in Cybersecurity also includes information on: Discrete math, set theory fundamentals, propositional logic, and number systems and conversionsDigital logic circuits, linear equations and matrices, sequences and recursion, and trigonometry and pre-calculusComplex numbers, exponential and logarithmic functions, and probability and counting techniquesGraph theory applications and coding for cryptographyBy adopting a balanced approach that combines traditional and contemporary ideas, Mathematics in Cybersecurity provides a readable and rigorous treatment of the subject matter for aspiring cybersecurity professionals, equipping them with the necessary tools to tackle complex cybersecurity challenges confidently and excel in their field.

    Produktinformation

    • Utgivningsdatum:2026-03-17
    • Mått:188 x 259 x 41 mm
    • Vikt:1 179 g
    • Format:Inbunden
    • Språk:Engelska
    • Antal sidor:512
    • Förlag:John Wiley & Sons Inc
    • ISBN:9781394304769

    Utforska kategorier

    • Diskret matematik inom Naturvetenskap och teknik
    • Nätverk och kommunikation inom Data och IT
    • Systemvetenskap och AI inom Data och IT

    Mer om författaren

    Alfred Basta, PhD, CMMC CCA, Six-Sigma Black Belt, PMP, CISM, CHPSE, CRISC, CPENT, OSCP is a professor of Mathematics, Cybersecurity, and Computer Science. He is a curriculum advisor for multiple colleges and universities. He has authored a variety of papers and publications in advanced Mathematics, Cybersecurity and Computer Science. Stephan DeLong, PhD, is an Associate Professor of Mathematics at Tidewater Community College, where he has taught since 1993. He earned a Master of Science degree in Mathematics at Lehigh University and is the author of several textbooks in mathematics. Stavros Basta, CIPP/US, CISM, CPENT, LPTM, CEH, SecurityX, PMP is a distinguished cybersecurity consultant and accomplished grant writer whose expertise bridges the theoretical foundations of mathematics with practical cybersecurity applications. With extensive experience in the field, Stavros has established himself as a thought leader in the integration of mathematical principles into cybersecurity frameworks. As a trusted advisor, he serves on numerous global advisory boards dedicated to advancing cybersecurity curricula and shaping privacy legislation across international jurisdictions. His multidisciplinary approach to cybersecurity, informed by rigorous mathematical analysis, offers readers a unique perspective on the quantitative underpinnings of modern digital security protocols.

    Innehållsförteckning

    • About the Authors xixAcknowledgments xxiAbout the Companion Website xxiii1 Introduction to Sets 11.1 Introduction 11.2 Types of Sets 51.3 Operations on Sets 81.4 Set Relations 112 Logic 172.1 Introduction to Logic 172.2 Propositional Logic 192.3 Logical Equivalence 262.4 Logical Inference and Proofs 302.5 Logic Gates 332.6 Predicate Logic 402.7 Applications of Logic 432.8 Summary 493 Introduction to Number Systems 513.1 What Is a Number System? 513.2 Binary Number System 523.3 Octal (Base-8) Number System 643.4 Hexadecimal (Hex) Number System 753.5 Ternary Number System 813.6 Generalization: Base-n Number Systems 843.7 Applications of Number Systems 853.8 Arithmetic in Other Number Systems 893.9 Floating-Point Representation 964 Straight-Line Equations and Graphs 1034.1 Introduction to Straight Lines 1034.2 Definition of a Straight Line 1034.3 The Intercepts of a Line 1054.4 Slope of a Line 1064.5 The Equation of a Line 1094.6 Standard Form of a Straight-Line Equation 1124.7 The Primary Uses of the Three Forms of the Equation of a Line 1134.8 Graphing Straight Lines 1134.9 Graphing Using the Standard Form 1144.10 Parallel and Perpendicular Lines 1184.11 Applications of Straight-Line Equations: Modeling Linear Relationships 1195 Introduction to Systems of Linear Equations 1235.1 Definition and Notation of Systems of Linear Equations 1235.2 Graphical Representation of a System of Linear Equations 1235.3 The Solution to a System of Two Linear Equations in Two Variables 1265.4 Applications That Lead to Systems of Linear Equations 1395.5 Introduction to Matrices 1486 Sequences and Series 1776.1 Sequences 1776.2 Arithmetic Sequences 1816.3 Geometric Sequences 1896.4 Fibonacci Sequence 1926.5 The Principles of Mathematical Induction 1966.6 Factorial Notation and Binomial Coefficients (Combinations) 1997 Measuring an Angle 2057.1 Measuring an Angle 2057.2 Trigonometric Functions 2147.3 Introduction to Trigonometric Identities 2267.4 Trigonometric Functions of the Sum of Two Angles 2307.5 Trigonometric Functions of the Difference of Two Angles 2327.6 Trigonometric Functions of Double-Angles 2347.7 Trigonometric Functions of Half-Angles 2368 Introduction to Complex Numbers 2418.1 Introduction to Complex Numbers 2418.2 Addition and Subtraction of Complex Numbers 2438.3 Multiplication and Division of Complex Numbers 2488.4 Graphical Representation of a Complex Number 2518.5 Exponential Form 2548.6 Applications of Complex Numbers in Cybersecurity 2579 Exponentials and Algorithms 2599.1 Exponential Functions 2599.2 Logarithms 2719.3 The Properties of Exponential and Logarithmic Function Graphs 2819.4 Solving Exponential and Logarithmic Equations 2849.5 Applications of Exponential and Logarithmic Functions in Cybersecurity 28910 What Do We Mean by Statistics? 29310.1 Sampling 29310.2 Statistical Graphs 29710.3 The Measures of Central Tendency 30410.4 The Measures of Dispersion 30710.5 The Normal Distribution 31110.6 The Binomial Distribution 32310.7 Linear Correlation and Regression 32911 Basic Concepts of Probability 34111.1 Experiments, Outcomes, Sample Spaces, and Events 34111.2 Axioms of Probability 34811.3 Basic Rules of Probability 34911.4 Counting Techniques and Probability 35211.5 Random Variables 35511.6 Probability Mass Function 35511.7 Distributions of Discrete Data 35611.8 Continuous Probability Distributions 36711.9 The Central Limit Theorem 37412 Graph Theory 37712.1 What Is Graph Theory? 37712.2 Exploration of Basic Concepts 38112.3 Types of Graphs 39512.4 Adjacency Matrix 40812.5 Graph Traversals 41312.6 Connectivity 41812.7 Special Graphs 42312.8 Graph Algorithms 43213 What Is Cryptography? 44513.1 What Is Cryptography? 44513.2 Basic Cryptographic Concepts 44613.3 Classical Ciphers 44813.4 Modern Cryptography 45913.5 Applications of Cryptography 46713.6 Cryptanalysis and Cryptographic Attacks 46913.7 Conclusion and Future Directions 47113.8 A Closing Remark on a Nearly Unbreakable Code, Resolved After 50 Years 472Index 477
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