Cybersecurity and Applied Mathematics

Cybersecurity and Applied Mathematics

by Metcalf, Leigh

Type Book
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Title Statements

  • Full title :Cybersecurity and Applied Mathematics.

Summary

Annotation

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Edition Statements

  • Publication Date:2016-06-13 00:00:00.0.

Publication Statements

  • Publisher(s):Elsevier Science
  • Language:eng
  • Publication Date:2016-06-13 00:00:00.0.

The Physical Object

  • Description:1 online resource (233)

Edition Identifiers

  • ISBN:0128044993, 9780128044995
  • oclc:ocn951807275
  • LC Classification:QA76.9.A25
  • Dewey Decimal:005.8

Table of Contents

1. Introduction -- 2.1. Introduction to Set Theory -- 2.2. Operations on Sets -- 2.2.1.Complement -- 2.2.2. Intersection -- 2.2.3. Union -- 2.2.4. Difference -- 2.2.5. Symmetric Difference -- 2.2.6. Cross Product -- 2.3. Set Theory Laws -- 2.4. Functions -- 2.5. Metrics -- 2.6. Distance Variations -- 2.6.1. Pseudometric -- 2.6.2. Quasimetric -- 2.6.3. Semimetric -- 2.7. Similarities -- 2.8. Metrics and Similarities of Numbers -- 2.8.1. Lp Metrics -- 2.8.2. Gaussian Kernel -- 2.9. Metrics and Similarities of Strings -- 2.9.1. Levenshtein Distance -- 2.9.2. Hamming Distance -- 2.10. Metrics and Similarities of Sets of Sets -- 2.10.1. Jaccard Index -- 2.10.2. Tanimoto Distance -- 2.10.3. Overlap Coefficient -- 2.10.4. Hausdorff Metric -- 2.10.5. Kendall's Tau -- 2.11. Mahalanobis Distance -- 2.12. Internet Metrics -- 2.12.1. Great Circle Distance -- 2.12.2. Hop Distance -- 2.12.3. Keyword Distance -- 3.1. Basic Probability Review -- 3.1.1. Language and Axioms of Probability.

3.1.2.Combinatorics Aka Parlor Tricks -- 3.1.3. Joint and Conditional Probability -- 3.1.4. Independence and Bayes Rule -- 3.2. From Parlor Tricks to Random Variables -- 3.2.1. Types of Random Variables -- 3.2.2…

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