{"product_id":"mathematics-in-cybersecurity-hardback-9781394304769","title":"Mathematics in Cybersecurity (Hardback) 9781394304769","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eMathematics in Cybersecurity\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eAlfred Basta (Author), Stephan Delong (Author), Stavros Basta (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781394304769, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 17 March 2026\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e512 pages\u003cbr\u003e25.9 x 18.8 x 4.1 cm, 1.179 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\u003cb\u003eBalanced, in-depth exploration of mathematics in cybersecurity, supported by case studies and other learning features\u003c\/b\u003e \u003c\/p\u003e\n\u003cp\u003eWith clear and concise explanations, practical examples, case studies, and real-world applications, \u003ci\u003eMathematics in Cybersecurity\u003c\/i\u003e 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. \u003c\/p\u003e\n\u003cp\u003eThe 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. \u003c\/p\u003e\n\u003cp\u003e\u003ci\u003eMathematics in Cybersecurity\u003c\/i\u003e also includes information on: \u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eDiscrete math, set theory fundamentals, propositional logic, and number systems and conversions\u003c\/li\u003e\n\u003cli\u003eDigital logic circuits, linear equations and matrices, sequences and recursion, and trigonometry and pre-calculus\u003c\/li\u003e\n\u003cli\u003eComplex numbers, exponential and logarithmic functions, and probability and counting techniques\u003c\/li\u003e\n\u003cli\u003eGraph theory applications and coding for cryptography\u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003eBy adopting a balanced approach that combines traditional and contemporary ideas, \u003ci\u003eMathematics in Cybersecurity\u003c\/i\u003e 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.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eAbout the Authors xix\u003cbr\u003eAcknowledgments xxi\u003cbr\u003eAbout the Companion Website xxiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction to Sets 1\u003cbr\u003e\u003c\/b\u003e1.1 Introduction 1\u003cbr\u003e1.2 Types of Sets 5\u003cbr\u003e1.3 Operations on Sets 8\u003cbr\u003e1.4 Set Relations 11\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Logic 17\u003cbr\u003e\u003c\/b\u003e2.1 Introduction to Logic 17\u003cbr\u003e2.2 Propositional Logic 19\u003cbr\u003e2.3 Logical Equivalence 26\u003cbr\u003e2.4 Logical Inference and Proofs 30\u003cbr\u003e2.5 Logic Gates 33\u003cbr\u003e2.6 Predicate Logic 40\u003cbr\u003e2.7 Applications of Logic 43\u003cbr\u003e2.8 Summary 49\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Introduction to Number Systems 51\u003cbr\u003e\u003c\/b\u003e3.1 What Is a Number System? 51\u003cbr\u003e3.2 Binary Number System 52\u003cbr\u003e3.3 Octal (Base-8) Number System 64\u003cbr\u003e3.4 Hexadecimal (Hex) Number System 75\u003cbr\u003e3.5 Ternary Number System 81\u003cbr\u003e3.6 Generalization: Base-n Number Systems 84\u003cbr\u003e3.7 Applications of Number Systems 85\u003cbr\u003e3.8 Arithmetic in Other Number Systems 89\u003cbr\u003e3.9 Floating-Point Representation 96\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Straight-Line Equations and Graphs 103\u003cbr\u003e\u003c\/b\u003e4.1 Introduction to Straight Lines 103\u003cbr\u003e4.2 Definition of a Straight Line 103\u003cbr\u003e4.3 The Intercepts of a Line 105\u003cbr\u003e4.4 Slope of a Line 106\u003cbr\u003e4.5 The Equation of a Line 109\u003cbr\u003e4.6 Standard Form of a Straight-Line Equation 112\u003cbr\u003e4.7 The Primary Uses of the Three Forms of the Equation of a Line 113\u003cbr\u003e4.8 Graphing Straight Lines 113\u003cbr\u003e4.9 Graphing Using the Standard Form 114\u003cbr\u003e4.10 Parallel and Perpendicular Lines 118\u003cbr\u003e4.11 Applications of Straight-Line Equations: Modeling Linear Relationships 119\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Introduction to Systems of Linear Equations 123\u003cbr\u003e\u003c\/b\u003e5.1 Definition and Notation of Systems of Linear Equations 123\u003cbr\u003e5.2 Graphical Representation of a System of Linear Equations 123\u003cbr\u003e5.3 The Solution to a System of Two Linear Equations in Two Variables 126\u003cbr\u003e5.4 Applications That Lead to Systems of Linear Equations 139\u003cbr\u003e5.5 Introduction to Matrices 148\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Sequences and Series 177\u003cbr\u003e\u003c\/b\u003e6.1 Sequences 177\u003cbr\u003e6.2 Arithmetic Sequences 181\u003cbr\u003e6.3 Geometric Sequences 189\u003cbr\u003e6.4 Fibonacci Sequence 192\u003cbr\u003e6.5 The Principles of Mathematical Induction 196\u003cbr\u003e6.6 Factorial Notation and Binomial Coefficients (Combinations) 199\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Measuring an Angle 205\u003cbr\u003e\u003c\/b\u003e7.1 Measuring an Angle 205\u003cbr\u003e7.2 Trigonometric Functions 214\u003cbr\u003e7.3 Introduction to Trigonometric Identities 226\u003cbr\u003e7.4 Trigonometric Functions of the Sum of Two Angles 230\u003cbr\u003e7.5 Trigonometric Functions of the Difference of Two Angles 232\u003cbr\u003e7.6 Trigonometric Functions of Double-Angles 234\u003cbr\u003e7.7 Trigonometric Functions of Half-Angles 236\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Introduction to Complex Numbers 241\u003cbr\u003e\u003c\/b\u003e8.1 Introduction to Complex Numbers 241\u003cbr\u003e8.2 Addition and Subtraction of Complex Numbers 243\u003cbr\u003e8.3 Multiplication and Division of Complex Numbers 248\u003cbr\u003e8.4 Graphical Representation of a Complex Number 251\u003cbr\u003e8.5 Exponential Form 254\u003cbr\u003e8.6 Applications of Complex Numbers in Cybersecurity 257\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Exponentials and Algorithms 259\u003cbr\u003e\u003c\/b\u003e9.1 Exponential Functions 259\u003cbr\u003e9.2 Logarithms 271\u003cbr\u003e9.3 The Properties of Exponential and Logarithmic Function Graphs 281\u003cbr\u003e9.4 Solving Exponential and Logarithmic Equations 284\u003cbr\u003e9.5 Applications of Exponential and Logarithmic Functions in Cybersecurity 289\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 What Do We Mean by Statistics? 293\u003cbr\u003e\u003c\/b\u003e10.1 Sampling 293\u003cbr\u003e10.2 Statistical Graphs 297\u003cbr\u003e10.3 The Measures of Central Tendency 304\u003cbr\u003e10.4 The Measures of Dispersion 307\u003cbr\u003e10.5 The Normal Distribution 311\u003cbr\u003e10.6 The Binomial Distribution 323\u003cbr\u003e10.7 Linear Correlation and Regression 329\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Basic Concepts of Probability 341\u003cbr\u003e\u003c\/b\u003e11.1 Experiments, Outcomes, Sample Spaces, and Events 341\u003cbr\u003e11.2 Axioms of Probability 348\u003cbr\u003e11.3 Basic Rules of Probability 349\u003cbr\u003e11.4 Counting Techniques and Probability 352\u003cbr\u003e11.5 Random Variables 355\u003cbr\u003e11.6 Probability Mass Function 355\u003cbr\u003e11.7 Distributions of Discrete Data 356\u003cbr\u003e11.8 Continuous Probability Distributions 367\u003cbr\u003e11.9 The Central Limit Theorem 374\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Graph Theory 377\u003cbr\u003e\u003c\/b\u003e12.1 What Is Graph Theory? 377\u003cbr\u003e12.2 Exploration of Basic Concepts 381\u003cbr\u003e12.3 Types of Graphs 395\u003cbr\u003e12.4 Adjacency Matrix 408\u003cbr\u003e12.5 Graph Traversals 413\u003cbr\u003e12.6 Connectivity 418\u003cbr\u003e12.7 Special Graphs 423\u003cbr\u003e12.8 Graph Algorithms 432\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 What Is Cryptography? 445\u003cbr\u003e\u003c\/b\u003e13.1 What Is Cryptography? 445\u003cbr\u003e13.2 Basic Cryptographic Concepts 446\u003cbr\u003e13.3 Classical Ciphers 448\u003cbr\u003e13.4 Modern Cryptography 459\u003cbr\u003e13.5 Applications of Cryptography 467\u003cbr\u003e13.6 Cryptanalysis and Cryptographic Attacks 469\u003cbr\u003e13.7 Conclusion and Future Directions 471\u003cbr\u003e13.8 A Closing Remark on a Nearly Unbreakable Code, Resolved After 50 Years 472\u003c\/p\u003e \u003cp\u003eIndex 477\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Computer science [\u003ca title=\"See our other books on Computer science\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Computer%20science%20%5BUY%5D%22\"\u003eUY\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52433524654360,"sku":"9781394304769","price":75.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781394304769.jpg?v=1784853433","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/mathematics-in-cybersecurity-hardback-9781394304769","provider":"Freshly Printed Books","version":"1.0","type":"link"}