Cybersecurity and Applied Mathematics PDF Download

Author: Leigh Metcalf
Publisher: Syngress
ISBN: 0128044993
Category : Computers
Languages : en
Pages : 240

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Book Description
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

Author: Nicholas J. Daras
Publisher: Springer
ISBN: 3319515004
Category : Mathematics
Languages : en
Pages : 422

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Book Description
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.

Author: William Easttom
Publisher: Springer Nature
ISBN: 3031123042
Category : Technology & Engineering
Languages : en
Pages : 460

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Book Description
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.

Author: Mary Lee
Publisher: Springer Nature
ISBN: 3030587487
Category : Mathematics
Languages : en
Pages : 134

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Book Description
This volume features a variety of research projects at the intersection of mathematics and public policy. The topics included here fall in the areas of cybersecurity and climate change, two broad and impactful issues that benefit greatly from mathematical techniques. Each chapter in the book is a mathematical look into a specific research question related to one of these issues, an approach that offers the reader insight into the application of mathematics to important public policy questions. The articles in this volume are papers inspired by a Workshop for Women in Mathematics and Public Policy, held January 22-25, 2019 at the Institute for Pure and Applied Mathematics and the Luskin Center at the University of California, Los Angeles. The workshop was created to promote and develop women at all levels of their careers as researchers in mathematics and public policy. The idea was modeled after other successful Research Collaboration Conferences for Women, where junior and senior women come together at week-long conferences held at mathematics institutes to work on pre-defined research projects. The workshop focused on how mathematics can be used in public policy research and was designed to foster collaborative networks for women to help address the gender gap in mathematics and science.

Author: Paul L. Goethals
Publisher: CRC Press
ISBN: 1000542696
Category : Business & Economics
Languages : en
Pages : 524

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Book Description
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.

Author: Richard A. DeMillo
Publisher: American Mathematical Soc.
ISBN: 0821800418
Category : Computers
Languages : en
Pages : 206

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Book Description

Author: Pierre-Loïc Garoche
Publisher: Princeton University Press
ISBN: 0691181306
Category : Mathematics
Languages : en
Pages : 230

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Book Description
An essential introduction to the analysis and verification of control system software The verification of control system software is critical to a host of technologies and industries, from aeronautics and medical technology to the cars we drive. The failure of controller software can cost people their lives. In this authoritative and accessible book, Pierre-Loïc Garoche provides control engineers and computer scientists with an indispensable introduction to the formal techniques for analyzing and verifying this important class of software. Too often, control engineers are unaware of the issues surrounding the verification of software, while computer scientists tend to be unfamiliar with the specificities of controller software. Garoche provides a unified approach that is geared to graduate students in both fields, covering formal verification methods as well as the design and verification of controllers. He presents a wealth of new verification techniques for performing exhaustive analysis of controller software. These include new means to compute nonlinear invariants, the use of convex optimization tools, and methods for dealing with numerical imprecisions such as floating point computations occurring in the analyzed software. As the autonomy of critical systems continues to increase—as evidenced by autonomous cars, drones, and satellites and landers—the numerical functions in these systems are growing ever more advanced. The techniques presented here are essential to support the formal analysis of the controller software being used in these new and emerging technologies.

Author: Preeti Malik
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110766744
Category : Business & Economics
Languages : en
Pages : 160

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Book Description
This book shows how machine learning (ML) methods can be used to enhance cyber security operations, including detection, modeling, monitoring as well as defense against threats to sensitive data and security systems. Filling an important gap between ML and cyber security communities, it discusses topics covering a wide range of modern and practical ML techniques, frameworks and tools.

Author: Martti Lehto
Publisher: Springer
ISBN: 3319183028
Category : Computers
Languages : en
Pages : 269

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Book Description
The book, in addition to the cyber threats and technology, processes cyber security from many sides as a social phenomenon and how the implementation of the cyber security strategy is carried out. The book gives a profound idea of the most spoken phenomenon of this time. The book is suitable for a wide-ranging audience from graduate to professionals/practitioners and researchers. Relevant disciplines for the book are Telecommunications / Network security, Applied mathematics / Data analysis, Mobile systems / Security, Engineering / Security of critical infrastructure and Military science / Security.

Author: Robin Sharp
Publisher: Springer Nature
ISBN: 3031414632
Category : Computers
Languages : en
Pages : 452

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Book Description
This book provides an introduction to the basic ideas involved in cybersecurity, whose principal aim is protection of IT systems against unwanted behaviour mediated by the networks which connect them. Due to the widespread use of the Internet in modern society for activities ranging from social networking and entertainment to distribution of utilities and public administration, failures of cybersecurity can threaten almost all aspects of life today. Cybersecurity is a necessity in the modern world, where computers and other electronic devices communicate via networks, and breakdowns in cybersecurity cost society many resources. The aims of cybersecurity are quite simple: data must not be read, modified, deleted or made unavailable by persons who are not allowed to. To meet this major challenge successfully in the digitally interconnected world, one needs to master numerous disciplines because modern IT systems contain software, cryptographic modules, computing units, networks, and human users—all of which can influence the success or failure in the effort. Topics and features: Introduces readers to the main components of a modern IT system: basic hardware, networks, operating system, and network-based applications Contains numerous theoretical and practical exercises to illustrate important topics Discusses protective mechanisms commonly used to ensure cybersecurity and how effective they are Discusses the use of cryptography for achieving security in IT systems Explains how to plan for protecting IT systems based on analysing the risk of various forms of failure Illustrates how human users may affect system security and ways of improving their behaviour Discusses what to do if a security failure takes place Presents important legal concepts relevant for cybersecurity, including the concept of cybercrime This accessible, clear textbook is intended especially for students starting a relevant course in computer science or engineering, as well as for professionals looking for a general introduction to the topic. Dr. Robin Sharp is an emeritus professor in the Cybersecurity Section at DTU Compute, the Dept. of Applied Mathematics and Computer Science at the Technical University of Denmark (DTU).