Mathematics in Cyber Research

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Publisher : CRC Press
ISBN 13 : 1000542718
Total Pages : 512 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Mathematics in Cyber Research by : Paul L. Goethals

Download or read book Mathematics in Cyber Research written by Paul L. Goethals and published by CRC Press. This book was released on 2022-02-07 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Cybersecurity and Applied Mathematics

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Publisher : Syngress
ISBN 13 : 0128044993
Total Pages : 240 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Cybersecurity and Applied Mathematics by : Leigh Metcalf

Download or read book Cybersecurity and Applied Mathematics written by Leigh Metcalf and published by Syngress. This book was released on 2016-06-07 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Operations Research, Engineering, and Cyber Security

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Publisher : Springer
ISBN 13 : 3319515004
Total Pages : 422 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Operations Research, Engineering, and Cyber Security by : Nicholas J. Daras

Download or read book Operations Research, Engineering, and Cyber Security written by Nicholas J. Daras and published by Springer. This book was released on 2017-03-14 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Foundations of Computer Networking

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Publisher : Addison-Wesley
ISBN 13 : 0132826135
Total Pages : 496 pages
Book Rating : 4.1/5 (328 download)

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Book Synopsis Mathematical Foundations of Computer Networking by : Srinivasan Keshav

Download or read book Mathematical Foundations of Computer Networking written by Srinivasan Keshav and published by Addison-Wesley. This book was released on 2012-04-20 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: “To design future networks that are worthy of society’s trust, we must put the ‘discipline’ of computer networking on a much stronger foundation. This book rises above the considerable minutiae of today’s networking technologies to emphasize the long-standing mathematical underpinnings of the field.” –Professor Jennifer Rexford, Department of Computer Science, Princeton University “This book is exactly the one I have been waiting for the last couple of years. Recently, I decided most students were already very familiar with the way the net works but were not being taught the fundamentals–the math. This book contains the knowledge for people who will create and understand future communications systems." –Professor Jon Crowcroft, The Computer Laboratory, University of Cambridge The Essential Mathematical Principles Required to Design, Implement, or Evaluate Advanced Computer Networks Students, researchers, and professionals in computer networking require a firm conceptual understanding of its foundations. Mathematical Foundations of Computer Networking provides an intuitive yet rigorous introduction to these essential mathematical principles and techniques. Assuming a basic grasp of calculus, this book offers sufficient detail to serve as the only reference many readers will need. Each concept is described in four ways: intuitively; using appropriate mathematical notation; with a numerical example carefully chosen for its relevance to networking; and with a numerical exercise for the reader. The first part of the text presents basic concepts, and the second part introduces four theories in a progression that has been designed to gradually deepen readers’ understanding. Within each part, chapters are as self-contained as possible. The first part covers probability; statistics; linear algebra; optimization; and signals, systems, and transforms. Topics range from Bayesian networks to hypothesis testing, and eigenvalue computation to Fourier transforms. These preliminary chapters establish a basis for the four theories covered in the second part of the book: queueing theory, game theory, control theory, and information theory. The second part also demonstrates how mathematical concepts can be applied to issues such as contention for limited resources, and the optimization of network responsiveness, stability, and throughput.

What's Happening in the Mathematical Sciences

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821890431
Total Pages : 108 pages
Book Rating : 4.8/5 (94 download)

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Book Synopsis What's Happening in the Mathematical Sciences by : Barry Cipra

Download or read book What's Happening in the Mathematical Sciences written by Barry Cipra and published by American Mathematical Soc.. This book was released on with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.

Foundational Cybersecurity Research

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Publisher : National Academies Press
ISBN 13 : 0309455324
Total Pages : 105 pages
Book Rating : 4.3/5 (94 download)

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Book Synopsis Foundational Cybersecurity Research by : National Academies of Sciences, Engineering, and Medicine

Download or read book Foundational Cybersecurity Research written by National Academies of Sciences, Engineering, and Medicine and published by National Academies Press. This book was released on 2017-07-24 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Attaining meaningful cybersecurity presents a broad societal challenge. Its complexity and the range of systems and sectors in which it is needed mean that successful approaches are necessarily multifaceted. Moreover, cybersecurity is a dynamic process involving human attackers who continue to adapt. Despite considerable investments of resources and intellect, cybersecurity continues to poses serious challenges to national security, business performance, and public well-being. Modern developments in computation, storage and connectivity to the Internet have brought into even sharper focus the need for a better understanding of the overall security of the systems we depend on. Foundational Cybersecurity Research focuses on foundational research strategies for organizing people, technologies, and governance. These strategies seek to ensure the sustained support needed to create an agile, effective research community, with collaborative links across disciplines and between research and practice. This report is aimed primarily at the cybersecurity research community, but takes a broad view that efforts to improve foundational cybersecurity research will need to include many disciplines working together to achieve common goals.

Advances in Mathematics for Industry 4.0

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Publisher : Academic Press
ISBN 13 : 012818907X
Total Pages : 420 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Advances in Mathematics for Industry 4.0 by : Mangey Ram

Download or read book Advances in Mathematics for Industry 4.0 written by Mangey Ram and published by Academic Press. This book was released on 2020-10-02 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Mathematics for Industry 4.0 examines key tools, techniques, strategies, and methods in engineering applications. By covering the latest knowledge in technology for engineering design and manufacture, chapters provide systematic and comprehensive coverage of key drivers in rapid economic development. Written by leading industry experts, chapter authors explore managing big data in processing information and helping in decision-making, including mathematical and optimization techniques for dealing with large amounts of data in short periods. Focuses on recent research in mathematics applications for Industry 4.0 Provides insights on international and transnational scales Identifies mathematics knowledge gaps for Industry 4.0 Describes fruitful areas for further research in industrial mathematics, including forthcoming international studies and research

Modern Discrete Mathematics and Analysis

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Publisher : Springer
ISBN 13 : 3319743252
Total Pages : 521 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Modern Discrete Mathematics and Analysis by : Nicholas J. Daras

Download or read book Modern Discrete Mathematics and Analysis written by Nicholas J. Daras and published by Springer. This book was released on 2018-07-05 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: A variety of modern research in analysis and discrete mathematics is provided in this book along with applications in cryptographic methods and information security, in order to explore new techniques, methods, and problems for further investigation. Distinguished researchers and scientists in analysis and discrete mathematics present their research. Graduate students, scientists and engineers, interested in a broad spectrum of current theories, methods, and applications in interdisciplinary fields will find this book invaluable.

Cyber-Security and Information Warfare

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Publisher :
ISBN 13 : 9781536143867
Total Pages : 397 pages
Book Rating : 4.1/5 (438 download)

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Book Synopsis Cyber-Security and Information Warfare by : Nicholas J. Daras

Download or read book Cyber-Security and Information Warfare written by Nicholas J. Daras and published by . This book was released on 2018-11-27 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: A variety of modern research methods in a number of innovating cyber-security techniques and information management technologies are provided in this book along with new related mathematical developments and support applications from engineering. This allows for the exploration of new approaches, useful practices and related problems for further investigation.Distinguished researchers and scientists coming from different scientific origins present their research and views concerning cyber-security, information warfare and communications systems.Graduate students, scientists and engineers interested in a broad spectrum of current theories, methods, and applications in interdisciplinary fields will find this book invaluable.Topics covered include: Electronic crime and ethics in cyberspace, new technologies in security systems/systems interfaces, economic information warfare, digital security in the economy, human factor evaluation of military security systems, cyber warfare, military communications, operational analysis and information warfare, and engineering applications to security systems/detection theory.

Research Methods for Cyber Security

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Publisher : Syngress
ISBN 13 : 0128129301
Total Pages : 428 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Research Methods for Cyber Security by : Thomas W. Edgar

Download or read book Research Methods for Cyber Security written by Thomas W. Edgar and published by Syngress. This book was released on 2017-04-19 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research Methods for Cyber Security teaches scientific methods for generating impactful knowledge, validating theories, and adding critical rigor to the cyber security field. This book shows how to develop a research plan, beginning by starting research with a question, then offers an introduction to the broad range of useful research methods for cyber security research: observational, mathematical, experimental, and applied. Each research method chapter concludes with recommended outlines and suggested templates for submission to peer reviewed venues. This book concludes with information on cross-cutting issues within cyber security research. Cyber security research contends with numerous unique issues, such as an extremely fast environment evolution, adversarial behavior, and the merging of natural and social science phenomena. Research Methods for Cyber Security addresses these concerns and much more by teaching readers not only the process of science in the context of cyber security research, but providing assistance in execution of research as well. Presents research methods from a cyber security science perspective Catalyzes the rigorous research necessary to propel the cyber security field forward Provides a guided method selection for the type of research being conducted, presented in the context of real-world usage

Mathematics for Computer Science

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Publisher :
ISBN 13 : 9789888407064
Total Pages : 988 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Mathematics for Computer Science by : Eric Lehman

Download or read book Mathematics for Computer Science written by Eric Lehman and published by . This book was released on 2017-03-08 with total page 988 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.

Applications of Mathematics and Informatics in Science and Engineering

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Publisher : Springer Science & Business
ISBN 13 : 3319047205
Total Pages : 445 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Applications of Mathematics and Informatics in Science and Engineering by : Nicholas J. Daras

Download or read book Applications of Mathematics and Informatics in Science and Engineering written by Nicholas J. Daras and published by Springer Science & Business. This book was released on 2014-04-30 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis, assessment, and data management are core competencies for operation research analysts. This volume addresses a number of issues and developed methods for improving those skills. It is an outgrowth of a conference held in April 2013 at the Hellenic Military Academy and brings together a broad variety of mathematical methods and theories with several applications. It discusses directions and pursuits of scientists that pertain to engineering sciences. It is also presents the theoretical background required for algorithms and techniques applied to a large variety of concrete problems. A number of open questions as well as new future areas are also highlighted. This book will appeal to operations research analysts, engineers, community decision makers, academics, the military community, practitioners sharing the current “state-of-the-art,” and analysts from coalition partners. Topics covered include Operations Research, Games and Control Theory, Computational Number Theory and Information Security, Scientific Computing and Applications, Statistical Modeling and Applications, Systems of Monitoring and Spatial Analysis.

Behavioral Cybersecurity

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Publisher : CRC Press
ISBN 13 : 1000258254
Total Pages : 172 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis Behavioral Cybersecurity by : Wayne Patterson

Download or read book Behavioral Cybersecurity written by Wayne Patterson and published by CRC Press. This book was released on 2020-12-07 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the role of human personality in the study of behavioral cybersecurity for non-specialists. Since the introduction and proliferation of the Internet, cybersecurity maintenance issues have grown exponentially. The importance of behavioral cybersecurity has recently been amplified by current events, such as misinformation and cyber-attacks related to election interference in the United States and internationally. More recently, similar issues have occurred in the context of the COVID-19 pandemic. The book presents profiling approaches, offers case studies of major cybersecurity events and provides analysis of password attacks and defenses. Discussing psychological methods used to assess behavioral cybersecurity, alongside risk management, the book also describes game theory and its applications, explores the role of cryptology and steganography in attack and defense scenarios and brings the reader up to date with current research into motivation and attacker/defender personality traits. Written for practitioners in the field, alongside nonspecialists with little prior knowledge of cybersecurity, computer science, or psychology, the book will be of interest to all who need to protect their computing environment from cyber-attacks. The book also provides source materials for courses in this growing area of behavioral cybersecurity.

Applied Data Analytics - Principles and Applications

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Publisher : CRC Press
ISBN 13 : 1000795535
Total Pages : 369 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Applied Data Analytics - Principles and Applications by : Johnson I. Agbinya

Download or read book Applied Data Analytics - Principles and Applications written by Johnson I. Agbinya and published by CRC Press. This book was released on 2022-09-01 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emergence of huge amounts of data which require analysis and in some cases real-time processing has forced exploration into fast algorithms for handling very lage data sizes. Analysis of x-ray images in medical applications, cyber security data, crime data, telecommunications and stock market data, health records and business analytics data are but a few areas of interest. Applications and platforms including R, RapidMiner and Weka provide the basis for analysis, often used by practitioners who pay little to no attention to the underlying mathematics and processes impacting the data. This often leads to an inability to explain results or correct mistakes, or to spot errors. Applied Data Analytics - Principles and Applications seeks to bridge this missing gap by providing some of the most sought after techniques in big data analytics. Establishing strong foundations in these topics provides practical ease when big data analyses are undertaken using the widely available open source and commercially orientated computation platforms, languages and visualisation systems. The book, when combined with such platforms, provides a complete set of tools required to handle big data and can lead to fast implementations and applications. The book contains a mixture of machine learning foundations, deep learning, artificial intelligence, statistics and evolutionary learning mathematics written from the usage point of view with rich explanations on what the concepts mean. The author has thus avoided the complexities often associated with these concepts when found in research papers. The tutorial nature of the book and the applications provided are some of the reasons why the book is suitable for undergraduate, postgraduate and big data analytics enthusiasts. This text should ease the fear of mathematics often associated with practical data analytics and support rapid applications in artificial intelligence, environmental sensor data modelling and analysis, health informatics, business data analytics, data from Internet of Things and deep learning applications.

Foundational Cybersecurity Research

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Author :
Publisher : National Academies Press
ISBN 13 : 0309455294
Total Pages : 105 pages
Book Rating : 4.3/5 (94 download)

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Book Synopsis Foundational Cybersecurity Research by : National Academies of Sciences, Engineering, and Medicine

Download or read book Foundational Cybersecurity Research written by National Academies of Sciences, Engineering, and Medicine and published by National Academies Press. This book was released on 2017-08-24 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Attaining meaningful cybersecurity presents a broad societal challenge. Its complexity and the range of systems and sectors in which it is needed mean that successful approaches are necessarily multifaceted. Moreover, cybersecurity is a dynamic process involving human attackers who continue to adapt. Despite considerable investments of resources and intellect, cybersecurity continues to poses serious challenges to national security, business performance, and public well-being. Modern developments in computation, storage and connectivity to the Internet have brought into even sharper focus the need for a better understanding of the overall security of the systems we depend on. Foundational Cybersecurity Research focuses on foundational research strategies for organizing people, technologies, and governance. These strategies seek to ensure the sustained support needed to create an agile, effective research community, with collaborative links across disciplines and between research and practice. This report is aimed primarily at the cybersecurity research community, but takes a broad view that efforts to improve foundational cybersecurity research will need to include many disciplines working together to achieve common goals.

Handbook of Military and Defense Operations Research

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Author :
Publisher : CRC Press
ISBN 13 : 9781032174037
Total Pages : 480 pages
Book Rating : 4.1/5 (74 download)

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Book Synopsis Handbook of Military and Defense Operations Research by : Taylor & Francis Group

Download or read book Handbook of Military and Defense Operations Research written by Taylor & Francis Group and published by CRC Press. This book was released on 2021-09-30 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Military and Defense Operations Research presents the voices leading OR and analytics to new heights in security through research, practical applications, case studies, and lessons learned in the field.

The Mathematical Sciences' Role in Homeland Security

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Publisher : National Academies Press
ISBN 13 : 0309090350
Total Pages : 576 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis The Mathematical Sciences' Role in Homeland Security by : National Research Council

Download or read book The Mathematical Sciences' Role in Homeland Security written by National Research Council and published by National Academies Press. This book was released on 2004-05-15 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.