Mathematics in Cybersecurity

Index

a

• Absorption laws  29
• Addition rule  349
• Adjacency list  390, 409–411
• Adjacency matrix  387–390, 397, 408–411
• Adjacent vertices  382, 385–386
• Advanced Encryption Standard (AES)  88, 446
• Advanced mathematical concepts in security  88, 446
• AES encryption  88
• Algorithm efficiency  404, 443
• Algorithms  18, 161, 195, 204, 259–291, 295, 378, 380, 398, 399, 410, 419, 420, 422, 426, 432–444, 462, 470, 472
• Alice and Bob examples  384, 395, 471
• Angle measurement  207, 208, 210, 211
• Anomaly detection  291
• Applications in biology  381
• Applications in chemistry  381
• Applications in cybersecurity  196, 257, 289–291
• Applications of complex numbers  256–257
• Applications of cryptography  467–469
• Applications of exponential functions  264–270
• Applications of Fibonacci  196
• Applications of graph theory  380–381
• Applications of logic  43–49
• Applications of number systems  85–89
• Argument  30, 251–254, 289, 307
• Aristotle  1
• Arithmetic in other number systems  89–95
• Arithmetic operations  63
• Arithmetic sequences  181–188
• Artificial intelligence  46–47
• ASCII  88, 462
• Associative laws  27–28
• Asymmetric cryptography  447–448
• Augmented matrix  167–168
• Authentication  88, 445, 466–468
• Authentication protocols  88
• Axioms of probability  347–348

b

• Balanced ternary  82–84
• Bar graph  297–299
• Base-n systems  84
• Bernoulli distribution  357
• Biconditional  18, 20–22, 49
• Binary addition  56–57
• Binary arithmetic  56–61
• Binary data representation  87
• Binary division  59–61
• Binary multiplication  59