Math for Security
Math for Security

Author: Daniel Reilly

Publisher: No Starch Press

Published: 2023-10-24

Total Pages: 313

ISBN-13: 1718502567

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Use applied math to map fire stations, develop facial recognition software, solve the art gallery problem and more in this hands-on, real-world infosec book. Explore the intersection of mathematics and computer security with this engaging and accessible guide. Math for Security will equip you with essential tools to tackle complex security problems head on. All you need are some basic programming skills. Once you’ve set up your development environment and reviewed the necessary Python syntax and math notation in the early chapters, you’ll dive deep into practical applications, leveraging the power of math to analyze networks, optimize resource distribution, and much more. In the book’s final chapters, you’ll take your projects from proof of concepts to viable applications and explore options for delivering them to end users. As you work through various security scenarios, you’ll: Employ packet analysis and graph theory to detect data exfiltration attempts in a network Predict potential targets and find weaknesses in social networks with Monte Carlo simulations Use basic geometry and OpenCell data to triangulate a phone’s location without GPS Apply computational geometry to Voronoi diagrams for use in emergency service planning Train a facial recognition system with machine learning for real-time identity verification Use spatial analysis to distribute physical security features effectively in an art gallery Whether you’re an aspiring security professional, a social network analyst, or an innovator seeking to create cutting-edge security solutions, this book will empower you to solve complex problems with precision and confidence. Embrace the intricate world of math as your secret weapon in computer security! Covers Python 3.x

Math for Security
Math for Security

Author: Daniel Reilly

Publisher: No Starch Press

Published: 2023-10-24

Total Pages: 313

ISBN-13: 1718502575

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Use applied math to map fire stations, develop facial recognition software, solve the art gallery problem and more in this hands-on, real-world infosec book. Explore the intersection of mathematics and computer security with this engaging and accessible guide. Math for Security will equip you with essential tools to tackle complex security problems head on. All you need are some basic programming skills. Once you’ve set up your development environment and reviewed the necessary Python syntax and math notation in the early chapters, you’ll dive deep into practical applications, leveraging the power of math to analyze networks, optimize resource distribution, and much more. In the book’s final chapters, you’ll take your projects from proof of concepts to viable applications and explore options for delivering them to end users. As you work through various security scenarios, you’ll: Employ packet analysis and graph theory to detect data exfiltration attempts in a network Predict potential targets and find weaknesses in social networks with Monte Carlo simulations Use basic geometry and OpenCell data to triangulate a phone’s location without GPS Apply computational geometry to Voronoi diagrams for use in emergency service planning Train a facial recognition system with machine learning for real-time identity verification Use spatial analysis to distribute physical security features effectively in an art gallery Whether you’re an aspiring security professional, a social network analyst, or an innovator seeking to create cutting-edge security solutions, this book will empower you to solve complex problems with precision and confidence. Embrace the intricate world of math as your secret weapon in computer security! Covers Python 3.x

Cybersecurity and Applied Mathematics
Cybersecurity and Applied Mathematics

Author: Leigh Metcalf

Publisher: Syngress

Published: 2016-06-07

Total Pages: 202

ISBN-13: 0128044993

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Cybersecurity and Applied Mathematics explores the mathematical concepts necessary for effective cybersecurity research and practice, taking an applied approach for practitioners and students entering the field. This book covers methods of statistical exploratory data analysis and visualization as a type of model for driving decisions, also discussing key topics, such as graph theory, topological complexes, and persistent homology. Defending the Internet is a complex effort, but applying the right techniques from mathematics can make this task more manageable. This book is essential reading for creating useful and replicable methods for analyzing data. Describes mathematical tools for solving cybersecurity problems, enabling analysts to pick the most optimal tool for the task at hand Contains numerous cybersecurity examples and exercises using real world data Written by mathematicians and statisticians with hands-on practitioner experience

Mathematics in Cyber Research
Mathematics in Cyber Research

Author: Paul L. Goethals

Publisher: CRC Press

Published: 2022-02-07

Total Pages: 512

ISBN-13: 1000542718

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In the last decade, both scholars and practitioners have sought novel ways to address the problem of cybersecurity. Innovative outcomes have included applications such as blockchain as well as creative methods for cyber forensics, software development, and intrusion prevention. Accompanying these technological advancements, discussion on cyber matters at national and international levels has focused primarily on the topics of law, policy, and strategy. The objective of these efforts is typically to promote security by establishing agreements among stakeholders on regulatory activities. Varying levels of investment in cyberspace, however, comes with varying levels of risk; in some ways, this can translate directly to the degree of emphasis for pushing substantial change. At the very foundation or root of cyberspace systems and processes are tenets and rules governed by principles in mathematics. Topics such as encrypting or decrypting file transmissions, modeling networks, performing data analysis, quantifying uncertainty, measuring risk, and weighing decisions or adversarial courses of action represent a very small subset of activities highlighted by mathematics. To facilitate education and a greater awareness of the role of mathematics in cyber systems and processes, a description of research in this area is needed. Mathematics in Cyber Research aims to familiarize educators and young researchers with the breadth of mathematics in cyber-related research. Each chapter introduces a mathematical sub-field, describes relevant work in this field associated with the cyber domain, provides methods and tools, as well as details cyber research examples or case studies. Features One of the only books to bring together such a diverse and comprehensive range of topics within mathematics and apply them to cyber research. Suitable for college undergraduate students or educators that are either interested in learning about cyber-related mathematics or intend to perform research within the cyber domain. The book may also appeal to practitioners within the commercial or government industry sectors. Most national and international venues for collaboration and discussion on cyber matters have focused primarily on the topics of law, policy, strategy, and technology. This book is among the first to address the underpinning mathematics.

Operations Research, Engineering, and Cyber Security
Operations Research, Engineering, and Cyber Security

Author: Nicholas J. Daras

Publisher: Springer

Published: 2017-03-14

Total Pages: 424

ISBN-13: 3319515004

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Mathematical methods and theories with interdisciplinary applications are presented in this book. The eighteen contributions presented in this Work have been written by eminent scientists; a few papers are based on talks which took place at the International Conference at the Hellenic Artillery School in May 2015. Each paper evaluates possible solutions to long-standing problems such as the solvability of the direct electromagnetic scattering problem, geometric approaches to cyber security, ellipsoid targeting with overlap, non-equilibrium solutions of dynamic networks, measuring ballistic dispersion, elliptic regularity theory for the numerical solution of variational problems, approximation theory for polynomials on the real line and the unit circle, complementarity and variational inequalities in electronics, new two-slope parameterized achievement scalarizing functions for nonlinear multiobjective optimization, and strong and weak convexity of closed sets in a Hilbert space. /divGraduate students, scientists, engineers and researchers in pure and applied mathematical sciences, operations research, engineering, and cyber security will find the interdisciplinary scientific perspectives useful to their overall understanding and further research.

Serious Cryptography
Serious Cryptography

Author: Jean-Philippe Aumasson

Publisher: No Starch Press

Published: 2017-11-06

Total Pages: 313

ISBN-13: 1593278268

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This practical guide to modern encryption breaks down the fundamental mathematical concepts at the heart of cryptography without shying away from meaty discussions of how they work. You’ll learn about authenticated encryption, secure randomness, hash functions, block ciphers, and public-key techniques such as RSA and elliptic curve cryptography. You’ll also learn: - Key concepts in cryptography, such as computational security, attacker models, and forward secrecy - The strengths and limitations of the TLS protocol behind HTTPS secure websites - Quantum computation and post-quantum cryptography - About various vulnerabilities by examining numerous code examples and use cases - How to choose the best algorithm or protocol and ask vendors the right questions Each chapter includes a discussion of common implementation mistakes using real-world examples and details what could go wrong and how to avoid these pitfalls. Whether you’re a seasoned practitioner or a beginner looking to dive into the field, Serious Cryptography will provide a complete survey of modern encryption and its applications.

Modern Cryptography
Modern Cryptography

Author: William Easttom

Publisher: Springer Nature

Published: 2022-10-29

Total Pages: 460

ISBN-13: 3031123042

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This expanded textbook, now in its second edition, is a practical yet in depth guide to cryptography and its principles and practices. Now featuring a new section on quantum resistant cryptography in addition to expanded and revised content throughout, the book continues to place cryptography in real-world security situations using the hands-on information contained throughout the chapters. Prolific author Dr. Chuck Easttom lays out essential math skills and fully explains how to implement cryptographic algorithms in today's data protection landscape. Readers learn and test out how to use ciphers and hashes, generate random keys, handle VPN and Wi-Fi security, and encrypt VoIP, Email, and Web communications. The book also covers cryptanalysis, steganography, and cryptographic backdoors and includes a description of quantum computing and its impact on cryptography. This book is meant for those without a strong mathematics background with only just enough math to understand the algorithms given. The book contains a slide presentation, questions and answers, and exercises throughout. Presents new and updated coverage of cryptography including new content on quantum resistant cryptography; Covers the basic math needed for cryptography - number theory, discrete math, and algebra (abstract and linear); Includes a full suite of classroom materials including exercises, Q&A, and examples.

An Introduction to Mathematical Cryptography
An Introduction to Mathematical Cryptography

Author: Jeffrey Hoffstein

Publisher: Springer

Published: 2014-09-11

Total Pages: 549

ISBN-13: 1493917110

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This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online. The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include: classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; fundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms; an in-depth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem. The second edition of An Introduction to Mathematical Cryptography includes a significant revision of the material on digital signatures, including an earlier introduction to RSA, Elgamal, and DSA signatures, and new material on lattice-based signatures and rejection sampling. Many sections have been rewritten or expanded for clarity, especially in the chapters on information theory, elliptic curves, and lattices, and the chapter of additional topics has been expanded to include sections on digital cash and homomorphic encryption. Numerous new exercises have been included.

Introduction to Computer Security
Introduction to Computer Security

Author: Matt Bishop

Publisher: Addison-Wesley Professional

Published: 2005

Total Pages: 792

ISBN-13:

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Introduction to Computer Security draws upon Bishop's widely praised Computer Security: Art and Science, without the highly complex and mathematical coverage that most undergraduate students would find difficult or unnecessary. The result: the field's most concise, accessible, and useful introduction. Matt Bishop thoroughly introduces fundamental techniques and principles for modeling and analyzing security. Readers learn how to express security requirements, translate requirements into policies, implement mechanisms that enforce policy, and ensure that policies are effective. Along the way, the author explains how failures may be exploited by attackers--and how attacks may be discovered, understood, and countered. Supplements available including slides and solutions.

The Mathematical Sciences' Role in Homeland Security
The Mathematical Sciences' Role in Homeland Security

Author: National Research Council

Publisher: National Academies Press

Published: 2004-05-15

Total Pages: 576

ISBN-13: 0309090350

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Mathematical sciences play a key role in many important areas of Homeland Security including data mining and image analysis and voice recognition for intelligence analysis, encryption and decryption for intelligence gathering and computer security, detection and epidemiology of bioterriost attacks to determine their scope, and data fusion to analyze information coming from simultaneously from several sources. This report presents the results of a workshop focusing on mathematical methods and techniques for addressing these areas. The goal of the workshop is to help mathematical scientists and policy makers understand the connections between mathematical sciences research and these homeland security applications.