book

Math for Security

by Daniel Reilly

October 2023

Intermediate to advanced

312 pages

9h 30m

English

No Starch Press

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Who Should Read This Book?What’s in This Book?Why Python?Information AccessibilityOnline Resources
Simple Environment Configuration with AnacondaLinux WindowsmacOSSetting Up a Virtual EnvironmentInstalling the IDE with AnacondaAdvanced SetupSetting Up virtualenvInstalling the IDE without AnacondaJupyter NotebooksSummary
Syntactical ConstructsList ComprehensionsDictionary ComprehensionsZipping and UnpackingMathematical NotationBoolean Notation Set NotationAttribute CharactersGreek Letters and FunctionsSummary

Graph Theory for Security ApplicationsCreating Graphs in NetworkXDiscovering Relationships in DataMeasuring Node ImportanceAnalyzing Cliques to Track AssociationsDetermining the Connectedness of the NetworkUsing Graph Edges to Capture Important DetailsSummary
Network Topology VisualizationConverting Network Information into a GraphBuilding a Communication MapBuilding the GraphIdentifying Suspicious Machine BehaviorSubgraph of Port Data VolumeIdentifying Unusual Levels of TrafficExamining How Machines Interact on the NetworkThe Proof of Concept: Network Traffic AnalysisSummary
The Small-World PhenomenonGraphing Social Network DataStructuring the DataVisualizing the Social NetworkNetwork Analysis InsightsCalculating Information PropagationIdentifying Cliques and Most Influential UsersFinding the Most Influenced UsersUsing Topic-Based Information ExchangeAnalyzing Network OrganizationThe Proof of Concept: Social Network AnalysisThe Darker Side of Social Network AnalysisSummary
Using Monte Carlo Simulations to Predict AttacksFinite State MachinesNetwork Modeling with Random Walks Monte Carlo SimulationSimulating Social NetworksModeling User InteractionModeling Topic-Based InfluenceModeling Information FlowThe Proof of Concept: Disrupting the Flow of InformationModeling an Evolving NetworkMoving the Message Through the NetworkMeasuring the Amount of Information FlowHow the Game WorksThe Game ObjectiveThe Game SimulationImprovements to Player 2Summary
Describing ShapesPoints and LinesPolygonsVertex OrderScenario: Planning Security for a ConcertCalculating Safe Occupancy LimitsDetermining Placement of Security PersonnelEstimating Guard Patrol TimingImproving Guard PlacementSummary
Gathering Cellular Network DataEthics of Tracking Devices and PeopleThe OpenCellID API StructureThe Proof of Concept: Locating a Device from Nearby Cell TowersGathering Tower LocationsTranslating a Geographic Point to a PolygonCalculating the Search AreaMapping the Search Area for InvestigatorsReducing the Search AreaSummary
Using Voronoi Tessellation for Resource DistributionThe Proof of Concept: Analyzing Fire Station CoverageDefining the Distance FunctionDetermining the City ShapeGathering the Locations of Existing Fire StationsPerforming the Voronoi AnalysisLimitations of the AlgorithmSummary
Uses of Facial Recognition in SecurityEthics of Facial Recognition ResearchThe Facial Recognition AlgorithmUsing Decision Tree ClassifiersRepresenting Facial GeometryProcessing Image DataLocating Facial LandmarksThe Proof of Concept: Developing a Facial Recognition SystemFacial StatisticsMemory ManagementData LoadingFeature EngineeringModel TrainingModel PersistenceSummary
Determining the Minimum Number of GuardsArt Gallery Problem TheoryGeometric and Graph Representations of the GallerySecuring the GalleryMapping Guard CoverageDefining Obstructed AreasPrioritizing Guard Coverage AreasMapping Security Camera Field of ViewSummary
Mapping the User’s InteractionsPlanning Application StatesDocumenting the ApplicationDeveloping the State ManagerAccelerating Security with Parallel ProcessingThreading ParallelismProcessor ParallelismAdding a Graphical User InterfaceDisplaying and Managing Images in PyGameOrganizing Graphics with Sprites and LayersSaving and Reloading Project DataSaving to a DictionaryLoading from JSON FilesRunning the Example ApplicationSummary
Using Setup ScriptsPackaging with Python InterpretersDistributing with Cloud MicroservicesLicensing with PyArmorOpen Source DeliverySummary