Mathematics in Cyber Research (eBook, PDF)

Redaktion: Goethals, Paul L.; Bennett, Daniel T.; Scala, Natalie M.

• Format: PDF

Produktbeschreibung

This book 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.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 524
• Erscheinungstermin: 6. Februar 2022
• Englisch
• ISBN-13: 9781000542691
• Artikelnr.: 63404333

Autorenporträt

Dr. Paul L. Goethals is an Academy Professor and the Director of Research for the Department of Mathematical Sciences at the United States Military Academy. He earned an M.S. degree in Mathematics from Florida State University in 2002 and a Ph.D. in Industrial Engineering from Clemson University in 2011. Dr. Goethals has served 29 years of active duty service within the United States Army, most recently as a Research Scientist at the Army Cyber Institute and as a member of the Commander's Action Group within the United States Cyber Command. He currently serves on the editorial board for the Cyber Defense Review and has served as the Editor-in-Chief of the International Journal of Experimental Design and Process Optimization since 2012. Dr. Natalie M. Scala is an Associate Professor and Director of the graduate programs in Supply Chain Management in the College of Business and Economics at Towson University. She earned Ph.D. and M.S. degrees in Industrial Engineering from the University of Pittsburgh. Her primary research is in decision analysis, with foci on military applications and cybersecurity. Specific projects include army unit readiness, risk in voting systems, cybersecurity metrics and best practices, naval seabasing, nuclear power plants, and workforce planning. Dr. Scala frequently consults to government clients and has extensive professional experience, to include positions with Innovative Decisions, Inc., the United States Department of Defense, and the RAND Corporation. Her first book, a co-edited volume titled Handbook of Military and Defense Operations Research, was released by CRC Press in early 2020. Dr. Daniel T. Bennett is the Senior Research and Operations Advisor for Energy Security and Resilience at the National Renewable Energy Laboratory (NREL). He has a Ph.D. and M.S. in Electrical Engineering from the University of Colorado at Boulder. Dan came to NREL from the Army Cyber Institute at the U.S. Military Academy where he led research for the Army's cyber think tank. While at West Point, he was also an Associate Professor in the Department of Electrical Engineering and Computer Science where he was the Academy's recognized expert in analog, digital and wireless communications systems and networks. He also recently served a yearlong tour as Technical Director Advisor to the 2-star commander of U.S. Cyber Command's Cyber National Mission Force at Ft. Meade, MD. Previous experiences include 15 months as Director of the Joint Network Operations & Security Center for Combined Joint Task Force-101 in Bagram, Afghanistan. Currently he is a technical lead on the Department of Energy's '5G Catalogue'.

Inhaltsangabe

1. Combinatorics. 2. Cryptography. 3. Algebraic Geometry. 4. Topology. 5. Differential Equations. 6. Network Science. 7. Operations Research. 8. Data Analysis. 9. Statistics. 10. Probability Theory. 11. Game Theory. 12. Number Theory. 13. Quantum Theory. 14. Group Theory. 15. Ring Theory.

Rezensionen

"This volume edited by Goethals (United States Military Academy), Scala (Towson Univ.), and Bennett (National Renewable Energy Laboratory) is one of the best showcases of foundational algorithms and new research directions applied to computing this reviewer has seen. The range of topics could provide a basis for implementation in many areas. Although it would be impossible to cover all mathematical contributions to computer science in one book, the breadth of content here inspires awe. Fields include combinatorics, cryptography, data analytics, game theory, and quantum theory, and cybersecurity is emphasized in several chapters. Contributing authors position their material in the context of interconnectivity, the Internet of Things, and quantum computing. Readers will need significant background in linear algebra, calculus, and statistics. Naturally, foundational knowledge in computer science (networking, AI, and the theory of computation) will be helpful. A list of references accompanies each chapter, facilitating preliminary research toward more-advanced studies. Overall, the book is an excellent resource for students interested in applied math or advanced algorithms and for experienced scientists, educators, or practitioners who must investigate mathematical topics in a computing domain. Practically all areas covered are worthy of attention from graduate and postgraduate researchers. In addition, many sections include practical applications in computing and system development.

Summing Up: Highly recommended. Lower- and upper-division undergraduates. Graduate students, faculty, and professionals."
- J. Brzezinski, McHenry County College, CHOICE Review