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| do you need calculus for cyber security: Mathematics in Cyber Research Paul L. Goethals, Natalie M. Scala, Daniel T. Bennett, 2022-02-07 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. |
| do you need calculus for cyber security: Schaum's Outline of Precalculus, 3rd Edition Fred Safier, 2012-11-16 Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately, there's Schaum's. This all-in-one-package includes 738 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you 738 fully solved problems The latest course scope and sequences, with complete coverage of limits, continuity, and derivatives Succinct explanation of all precalculus concepts Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum’s to shorten your study time--and get your best test scores! |
| do you need calculus for cyber security: Operations Research, Engineering, and Cyber Security Nicholas J. Daras, Themistocles M. Rassias, 2017-03-14 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. |
| do you need calculus for cyber security: Reinforcement Learning for Cyber-Physical Systems Chong Li, Meikang Qiu, 2019-02-22 Reinforcement Learning for Cyber-Physical Systems: with Cybersecurity Case Studies was inspired by recent developments in the fields of reinforcement learning (RL) and cyber-physical systems (CPSs). Rooted in behavioral psychology, RL is one of the primary strands of machine learning. Different from other machine learning algorithms, such as supervised learning and unsupervised learning, the key feature of RL is its unique learning paradigm, i.e., trial-and-error. Combined with the deep neural networks, deep RL become so powerful that many complicated systems can be automatically managed by AI agents at a superhuman level. On the other hand, CPSs are envisioned to revolutionize our society in the near future. Such examples include the emerging smart buildings, intelligent transportation, and electric grids. However, the conventional hand-programming controller in CPSs could neither handle the increasing complexity of the system, nor automatically adapt itself to new situations that it has never encountered before. The problem of how to apply the existing deep RL algorithms, or develop new RL algorithms to enable the real-time adaptive CPSs, remains open. This book aims to establish a linkage between the two domains by systematically introducing RL foundations and algorithms, each supported by one or a few state-of-the-art CPS examples to help readers understand the intuition and usefulness of RL techniques. Features Introduces reinforcement learning, including advanced topics in RL Applies reinforcement learning to cyber-physical systems and cybersecurity Contains state-of-the-art examples and exercises in each chapter Provides two cybersecurity case studies Reinforcement Learning for Cyber-Physical Systems with Cybersecurity Case Studies is an ideal text for graduate students or junior/senior undergraduates in the fields of science, engineering, computer science, or applied mathematics. It would also prove useful to researchers and engineers interested in cybersecurity, RL, and CPS. The only background knowledge required to appreciate the book is a basic knowledge of calculus and probability theory. |
| do you need calculus for cyber security: At the Nexus of Cybersecurity and Public Policy National Research Council, Division on Engineering and Physical Sciences, Computer Science and Telecommunications Board, Committee on Developing a Cybersecurity Primer: Leveraging Two Decades of National Academies Work, 2014-06-16 We depend on information and information technology (IT) to make many of our day-to-day tasks easier and more convenient. Computers play key roles in transportation, health care, banking, and energy. Businesses use IT for payroll and accounting, inventory and sales, and research and development. Modern military forces use weapons that are increasingly coordinated through computer-based networks. Cybersecurity is vital to protecting all of these functions. Cyberspace is vulnerable to a broad spectrum of hackers, criminals, terrorists, and state actors. Working in cyberspace, these malevolent actors can steal money, intellectual property, or classified information; impersonate law-abiding parties for their own purposes; damage important data; or deny the availability of normally accessible services. Cybersecurity issues arise because of three factors taken together - the presence of malevolent actors in cyberspace, societal reliance on IT for many important functions, and the presence of vulnerabilities in IT systems. What steps can policy makers take to protect our government, businesses, and the public from those would take advantage of system vulnerabilities? At the Nexus of Cybersecurity and Public Policy offers a wealth of information on practical measures, technical and nontechnical challenges, and potential policy responses. According to this report, cybersecurity is a never-ending battle; threats will evolve as adversaries adopt new tools and techniques to compromise security. Cybersecurity is therefore an ongoing process that needs to evolve as new threats are identified. At the Nexus of Cybersecurity and Public Policy is a call for action to make cybersecurity a public safety priority. For a number of years, the cybersecurity issue has received increasing public attention; however, most policy focus has been on the short-term costs of improving systems. In its explanation of the fundamentals of cybersecurity and the discussion of potential policy responses, this book will be a resource for policy makers, cybersecurity and IT professionals, and anyone who wants to understand threats to cyberspace. |
| do you need calculus for cyber security: Cybersecurity For Dummies Joseph Steinberg, 2019-10-15 Protect your business and family against cyber attacks Cybersecurity is the protection against the unauthorized or criminal use of electronic data and the practice of ensuring the integrity, confidentiality, and availability of information. Being cyber-secure means that a person or organization has both protected itself against attacks by cyber criminals and other online scoundrels, and ensured that it has the ability to recover if it is attacked. If keeping your business or your family safe from cybersecurity threats is on your to-do list, Cybersecurity For Dummies will introduce you to the basics of becoming cyber-secure! You’ll learn what threats exist, and how to identify, protect against, detect, and respond to these threats, as well as how to recover if you have been breached! The who and why of cybersecurity threats Basic cybersecurity concepts What to do to be cyber-secure Cybersecurity careers What to think about to stay cybersecure in the future Now is the time to identify vulnerabilities that may make you a victim of cyber-crime — and to defend yourself before it is too late. |
| do you need calculus for cyber security: Mathematical Foundations of Computer Networking Srinivasan Keshav, 2012-04-20 “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. |
| do you need calculus for cyber security: Security Warrior Cyrus Peikari, Anton Chuvakin, 2004-01-12 When it comes to network security, many users and administrators are running scared, and justifiably so. The sophistication of attacks against computer systems increases with each new Internet worm.What's the worst an attacker can do to you? You'd better find out, right? That's what Security Warrior teaches you. Based on the principle that the only way to defend yourself is to understand your attacker in depth, Security Warrior reveals how your systems can be attacked. Covering everything from reverse engineering to SQL attacks, and including topics like social engineering, antiforensics, and common attacks against UNIX and Windows systems, this book teaches you to know your enemy and how to be prepared to do battle.Security Warrior places particular emphasis on reverse engineering. RE is a fundamental skill for the administrator, who must be aware of all kinds of malware that can be installed on his machines -- trojaned binaries, spyware that looks innocuous but that sends private data back to its creator, and more. This is the only book to discuss reverse engineering for Linux or Windows CE. It's also the only book that shows you how SQL injection works, enabling you to inspect your database and web applications for vulnerability.Security Warrior is the most comprehensive and up-to-date book covering the art of computer war: attacks against computer systems and their defenses. It's often scary, and never comforting. If you're on the front lines, defending your site against attackers, you need this book. On your shelf--and in your hands. |
| do you need calculus for cyber security: The Oxford Handbook of Cyber Security Paul Cornish, 2021-11-04 Cyber security is concerned with the identification, avoidance, management and mitigation of risk in, or from, cyber space. The risk concerns harm and damage that might occur as the result of everything from individual carelessness, to organised criminality, to industrial and national security espionage and, at the extreme end of the scale, to disabling attacks against a country's critical national infrastructure. However, there is much more to cyber space than vulnerability, risk, and threat. Cyber space security is an issue of strategy, both commercial and technological, and whose breadth spans the international, regional, national, and personal. It is a matter of hazard and vulnerability, as much as an opportunity for social, economic and cultural growth. Consistent with this outlook, The Oxford Handbook of Cyber Security takes a comprehensive and rounded approach to the still evolving topic of cyber security. The structure of the Handbook is intended to demonstrate how the scope of cyber security is beyond threat, vulnerability, and conflict and how it manifests on many levels of human interaction. An understanding of cyber security requires us to think not just in terms of policy and strategy, but also in terms of technology, economy, sociology, criminology, trade, and morality. Accordingly, contributors to the Handbook include experts in cyber security from around the world, offering a wide range of perspectives: former government officials, private sector executives, technologists, political scientists, strategists, lawyers, criminologists, ethicists, security consultants, and policy analysts. |
| do you need calculus for cyber security: Essential Cybersecurity Science Josiah Dykstra, 2015-12-08 If you’re involved in cybersecurity as a software developer, forensic investigator, or network administrator, this practical guide shows you how to apply the scientific method when assessing techniques for protecting your information systems. You’ll learn how to conduct scientific experiments on everyday tools and procedures, whether you’re evaluating corporate security systems, testing your own security product, or looking for bugs in a mobile game. Once author Josiah Dykstra gets you up to speed on the scientific method, he helps you focus on standalone, domain-specific topics, such as cryptography, malware analysis, and system security engineering. The latter chapters include practical case studies that demonstrate how to use available tools to conduct domain-specific scientific experiments. Learn the steps necessary to conduct scientific experiments in cybersecurity Explore fuzzing to test how your software handles various inputs Measure the performance of the Snort intrusion detection system Locate malicious “needles in a haystack” in your network and IT environment Evaluate cryptography design and application in IoT products Conduct an experiment to identify relationships between similar malware binaries Understand system-level security requirements for enterprise networks and web services |
| do you need calculus for cyber security: Handbook of System Safety and Security Edward Griffor, 2016-10-02 Handbook of System Safety and Security: Cyber Risk and Risk Management, Cyber Security, Adversary Modeling, Threat Analysis, Business of Safety, Functional Safety, Software Systems, and Cyber Physical Systems presents an update on the world's increasing adoption of computer-enabled products and the essential services they provide to our daily lives. The tailoring of these products and services to our personal preferences is expected and made possible by intelligence that is enabled by communication between them. Ensuring that the systems of these connected products operate safely, without creating hazards to us and those around us, is the focus of this book, which presents the central topics of current research and practice in systems safety and security as it relates to applications within transportation, energy, and the medical sciences. Each chapter is authored by one of the leading contributors to the current research and development on the topic. The perspective of this book is unique, as it takes the two topics, systems safety and systems security, as inextricably intertwined. Each is driven by concern about the hazards associated with a system's performance. - Presents the most current and leading edge research on system safety and security, featuring a panel of top experts in the field - Includes several research advancements published for the first time, including the use of 'goal structured notation' together with a 'judgment calculus' and their automation as a 'rule set' to facilitate systems safety and systems security process execution in compliance with existing standards - Presents for the first time the latest research in the field with the unique perspective that systems safety and systems security are inextricably intertwined - Includes coverage of systems architecture, cyber physical systems, tradeoffs between safety, security, and performance, as well as the current methodologies and technologies and implantation practices for system safety and security |
| do you need calculus for cyber security: Cybersecurity and Applied Mathematics Leigh Metcalf, William Casey, 2016-06-07 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 |
| do you need calculus for cyber security: Machine Learning and Big Data Analytics (Proceedings of International Conference on Machine Learning and Big Data Analytics (ICMLBDA) 2021) Rajiv Misra, Rudrapatna K. Shyamasundar, Amrita Chaturvedi, Rana Omer, 2021-09-29 This edited volume on machine learning and big data analytics (Proceedings of ICMLBDA 2021) is intended to be used as a reference book for researchers and practitioners in the disciplines of computer science, electronics and telecommunication, information science, and electrical engineering. Machine learning and Big data analytics represent a key ingredients in the industrial applications for new products and services. Big data analytics applies machine learning for predictions by examining large and varied data sets—i.e., big data—to uncover hidden patterns, unknown correlations, market trends, customer preferences, and other useful information that can help organizations make more informed business decisions. |
| do you need calculus for cyber security: Cybersecurity Analytics Rakesh M. Verma, David J. Marchette, 2019-11-27 Cybersecurity Analytics is for the cybersecurity student and professional who wants to learn data science techniques critical for tackling cybersecurity challenges, and for the data science student and professional who wants to learn about cybersecurity adaptations. Trying to build a malware detector, a phishing email detector, or just interested in finding patterns in your datasets? This book can let you do it on your own. Numerous examples and datasets links are included so that the reader can learn by doing. Anyone with a basic college-level calculus course and some probability knowledge can easily understand most of the material. The book includes chapters containing: unsupervised learning, semi-supervised learning, supervised learning, text mining, natural language processing, and more. It also includes background on security, statistics, and linear algebra. The website for the book contains a listing of datasets, updates, and other resources for serious practitioners. |
| do you need calculus for cyber security: The Official CompTIA Security+ Self-Paced Study Guide (Exam SY0-601) CompTIA, 2020-11-12 CompTIA Security+ Study Guide (Exam SY0-601) |
| do you need calculus for cyber security: A Systems Approach to Cyber Security A. Roychoudhury, Y. Liu, 2017-02-24 With our ever-increasing reliance on computer technology in every field of modern life, the need for continuously evolving and improving cyber security remains a constant imperative. This book presents the 3 keynote speeches and 10 papers delivered at the 2nd Singapore Cyber Security R&D Conference (SG-CRC 2017), held in Singapore, on 21-22 February 2017. SG-CRC 2017 focuses on the latest research into the techniques and methodologies of cyber security. The goal is to construct systems which are resistant to cyber-attack, enabling the construction of safe execution environments and improving the security of both hardware and software by means of mathematical tools and engineering approaches for the design, verification and monitoring of cyber-physical systems. Covering subjects which range from messaging in the public cloud and the use of scholarly digital libraries as a platform for malware distribution, to low-dimensional bigram analysis for mobile data fragment classification, this book will be of interest to all those whose business it is to improve cyber security. |
| do you need calculus for cyber security: Randomized Algorithms Rajeev Motwani, Prabhakar Raghavan, 1995-08-25 For many applications a randomized algorithm is either the simplest algorithm available, or the fastest, or both. This tutorial presents the basic concepts in the design and analysis of randomized algorithms. The first part of the book presents tools from probability theory and probabilistic analysis that are recurrent in algorithmic applications. Algorithmic examples are given to illustrate the use of each tool in a concrete setting. In the second part of the book, each of the seven chapters focuses on one important area of application of randomized algorithms: data structures; geometric algorithms; graph algorithms; number theory; enumeration; parallel algorithms; and on-line algorithms. A comprehensive and representative selection of the algorithms in these areas is also given. This book should prove invaluable as a reference for researchers and professional programmers, as well as for students. |
| do you need calculus for cyber security: How to Measure Anything in Cybersecurity Risk Douglas W. Hubbard, Richard Seiersen, 2016-07-25 A ground shaking exposé on the failure of popular cyber risk management methods How to Measure Anything in Cybersecurity Risk exposes the shortcomings of current risk management practices, and offers a series of improvement techniques that help you fill the holes and ramp up security. In his bestselling book How to Measure Anything, author Douglas W. Hubbard opened the business world's eyes to the critical need for better measurement. This book expands upon that premise and draws from The Failure of Risk Management to sound the alarm in the cybersecurity realm. Some of the field's premier risk management approaches actually create more risk than they mitigate, and questionable methods have been duplicated across industries and embedded in the products accepted as gospel. This book sheds light on these blatant risks, and provides alternate techniques that can help improve your current situation. You'll also learn which approaches are too risky to save, and are actually more damaging than a total lack of any security. Dangerous risk management methods abound; there is no industry more critically in need of solutions than cybersecurity. This book provides solutions where they exist, and advises when to change tracks entirely. Discover the shortcomings of cybersecurity's best practices Learn which risk management approaches actually create risk Improve your current practices with practical alterations Learn which methods are beyond saving, and worse than doing nothing Insightful and enlightening, this book will inspire a closer examination of your company's own risk management practices in the context of cybersecurity. The end goal is airtight data protection, so finding cracks in the vault is a positive thing—as long as you get there before the bad guys do. How to Measure Anything in Cybersecurity Risk is your guide to more robust protection through better quantitative processes, approaches, and techniques. |
| do you need calculus for cyber security: Handbook of Computer Networks and Cyber Security Brij B. Gupta, Gregorio Martinez Perez, Dharma P. Agrawal, Deepak Gupta, 2019-12-31 This handbook introduces the basic principles and fundamentals of cyber security towards establishing an understanding of how to protect computers from hackers and adversaries. The highly informative subject matter of this handbook, includes various concepts, models, and terminologies along with examples and illustrations to demonstrate substantial technical details of the field. It motivates the readers to exercise better protection and defense mechanisms to deal with attackers and mitigate the situation. This handbook also outlines some of the exciting areas of future research where the existing approaches can be implemented. Exponential increase in the use of computers as a means of storing and retrieving security-intensive information, requires placement of adequate security measures to safeguard the entire computing and communication scenario. With the advent of Internet and its underlying technologies, information security aspects are becoming a prime concern towards protecting the networks and the cyber ecosystem from variety of threats, which is illustrated in this handbook. This handbook primarily targets professionals in security, privacy and trust to use and improve the reliability of businesses in a distributed manner, as well as computer scientists and software developers, who are seeking to carry out research and develop software in information and cyber security. Researchers and advanced-level students in computer science will also benefit from this reference. |
| do you need calculus for cyber security: Mathematics for Machine Learning Marc Peter Deisenroth, A. Aldo Faisal, Cheng Soon Ong, 2020-04-23 Distills key concepts from linear algebra, geometry, matrices, calculus, optimization, probability and statistics that are used in machine learning. |
| do you need calculus for cyber security: Collaborative Approaches for Cyber Security in Cyber-Physical Systems Theo Dimitrakos, Javier Lopez, Fabio Martinelli, 2023-01-02 This book describes cyber-security issues underpinning several cyber-physical systems and several application domains, proposing a common perspective able to collect similarities as well as depict divergences and specific solution methods. Special attention is given to those approaches and technologies that unleash the power of collaboration among stakeholders, in a field based often developed in isolation and segregation of information. Given the pervasively growing dependency of society on IT technology, and the corresponding proliferation of cyber-threats, there is both an imperative need and opportunity to develop a coherent set of techniques to cope with the changing nature of the upcoming cyber-security challenges. These include evolving threats and new technological means to exploit vulnerabilities of cyber-physical systems that have direct socio-technical, societal and economic consequences for Europe and the world. We witness cyber-attacks on large scale infrastructures for energy, transport, healthcare systems and smart systems. The interplay between security and safety issues is now paramount and will be even more relevant in the future. The book collects contributions from a number of scientists in Europe and presents the results of several European Projects, as NeCS, SPARTA, E-CORRIDOR and C3ISP. It will be of value to industrial researchers, practitioners and engineers developing cyber-physical solutions, as well as academics and students in cyber-security, ICT, and smart technologies in general. |
| do you need calculus for cyber security: Cyber Security Cryptography and Machine Learning Shlomi Dolev, Oded Margalit, Benny Pinkas, Alexander Schwarzmann, 2021-07-01 This book constitutes the refereed proceedings of the 5th International Symposium on Cyber Security Cryptography and Machine Learning, CSCML 2021, held in Be'er Sheva, Israel, in July 2021. The 22 full and 13 short papers presented together with a keynote paper in this volume were carefully reviewed and selected from 48 submissions. They deal with the theory, design, analysis, implementation, or application of cyber security, cryptography and machine learning systems and networks, and conceptually innovative topics in these research areas. |
| do you need calculus for cyber security: An Introduction to Mathematical Cryptography Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman, 2014-09-11 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. |
| do you need calculus for cyber security: Cyber Security in the Age of Artificial Intelligence and Autonomous Weapons Mehmet Emin Erendor, 2024-11-19 Although recent advances in technology have made life easier for individuals, societies, and states, they have also led to the emergence of new and different problems in the context of security. In this context, it does not seem possible to analyze the developments in the field of cyber security only with information theft or hacking, especially in the age of artificial intelligence and autonomous weapons. For this reason, the main purpose of this book is to explain the phenomena from a different perspective by addressing artificial intelligence and autonomous weapons, which remain in the background while focusing on cyber security. By addressing these phenomena, the book aims to make the study multidisciplinary and to include authors from different countries and different geographies. The scope and content of the study differs significantly from other books in terms of the issues it addresses and deals with. When we look at the main features of the study, we can say the following: Handles the concept of security within the framework of technological development Includes artificial intelligence and radicalization, which has little place in the literature Evaluates the phenomenon of cyber espionage Provides an approach to future wars Examines the course of wars within the framework of the Clausewitz trilogy Explores ethical elements Addresses legal approaches In this context, the book offers readers a hope as well as a warning about how technology can be used for the public good. Individuals working in government, law enforcement, and technology companies can learn useful lessons from it. |
| do you need calculus for cyber security: Understanding Cyber Warfare Christopher Whyte, Brian M. Mazanec, 2018-12-07 This textbook offers an accessible introduction to the historical, technical, and strategic context of cyber conflict. The international relations, policy, doctrine, strategy, and operational issues associated with computer network attack, computer network exploitation, and computer network defense are collectively referred to as cyber warfare. This new textbook provides students with a comprehensive perspective on the technical, strategic, and policy issues associated with cyber conflict as well as an introduction to key state and non-state actors. Specifically, the book provides a comprehensive overview of these key issue areas: the historical emergence and evolution of cyber warfare, including the basic characteristics and methods of computer network attack, exploitation, and defense; a theoretical set of perspectives on conflict in the digital age from the point of view of international relations (IR) and the security studies field; the current national perspectives, policies, doctrines, and strategies relevant to cyber warfare; and an examination of key challenges in international law, norm development, and the potential impact of cyber warfare on future international conflicts. This book will be of much interest to students of cyber conflict and other forms of digital warfare, security studies, strategic studies, defense policy, and, most broadly, international relations. |
| do you need calculus for cyber security: Exploring Careers in Cybersecurity and Digital Forensics Lucy Tsado, Robert Osgood, 2022-02-15 Exploring Careers in Cybersecurity and Digital Forensics is a one-stop shop for students and advisors, providing information about education, certifications, and tools to guide them in making career decisions within the field. Cybersecurity is a fairly new academic discipline and with the continued rise in cyberattacks, the need for technological and non-technological skills in responding to criminal digital behavior, as well as the requirement to respond, investigate, gather and preserve evidence is growing. Exploring Careers in Cybersecurity and Digital Forensics is designed to help students and professionals navigate the unique opportunity that a career in digital forensics and cybersecurity provides. From undergraduate degrees, job hunting and networking, to certifications and mid-career transitions, this book is a useful tool to students, advisors, and professionals alike. Lucy Tsado and Robert Osgood help students and school administrators understand the opportunity that exists in the cybersecurity and digital forensics field, provide guidance for students and professionals out there looking for alternatives through degrees, and offer solutions to close the cybersecurity skills gap through student recruiting and retention in the field. |
| do you need calculus for cyber security: Cybersecurity for Executives Gregory J. Touhill, C. Joseph Touhill, 2014-07-08 Practical guide that can be used by executives to make well-informed decisions on cybersecurity issues to better protect their business Emphasizes, in a direct and uncomplicated way, how executives can identify, understand, assess, and mitigate risks associated with cybersecurity issues Covers 'What to Do When You Get Hacked?' including Business Continuity and Disaster Recovery planning, Public Relations, Legal and Regulatory issues, and Notifications and Disclosures Provides steps for integrating cybersecurity into Strategy; Policy and Guidelines; Change Management and Personnel Management Identifies cybersecurity best practices that executives can and should use both in the office and at home to protect their vital information |
| do you need calculus for cyber security: Cyber Security and the Politics of Time Tim Stevens, 2016 Explores how security communities think about time and how this shapes the politics of security in the information age. |
| do you need calculus for cyber security: Optimizing Cyberdeterrence Robert Mandel, 2017-03-01 Cyberattacks are one of the greatest fears for governments and the private sector. The attacks come without warning and can be extremely costly and embarrassing. Robert Mandel offers a unique and comprehensive strategic vision for how governments, in partnership with the private sector, can deter cyberattacks from both nonstate and state actors. Cyberdeterrence must be different from conventional military or nuclear deterrence, which are mainly based on dissuading an attack by forcing the aggressor to face unacceptable costs. In the cyber realm, where attributing a specific attack to a specific actor is extremely difficult, conventional deterrence principles are not enough. Mandel argues that cyberdeterrence must alter a potential attacker’s decision calculus by not only raising costs for the attacker but also by limiting the prospects for gain. Cyberdeterrence must also involve indirect unorthodox restraints, such as exposure to negative blowback and deceptive diversionary measures, and cross-domain measures rather than just retaliation in kind. The book includes twelve twenty-first-century cyberattack case studies to draw insights into cyberdeterrence and determine the conditions under which it works most effectively. Mandel concludes by making recommendations for implementing cyberdeterrence and integrating it into broader national security policy. Cyber policy practitioners and scholars will gain valuable and current knowledge from this excellent study. |
| do you need calculus for cyber security: AI Applications in Cyber Security and Communication Networks Chaminda Hewage, |
| do you need calculus for cyber security: Discrete Mathematics for Computer Science Gary Haggard, John Schlipf, Sue Whitesides, 2006 Master the fundamentals of discrete mathematics with DISCRETE MATHEMATICS FOR COMPUTER SCIENCE with Student Solutions Manual CD-ROM! An increasing number of computer scientists from diverse areas are using discrete mathematical structures to explain concepts and problems and this mathematics text shows you how to express precise ideas in clear mathematical language. Through a wealth of exercises and examples, you will learn how mastering discrete mathematics will help you develop important reasoning skills that will continue to be useful throughout your career. |
| do you need calculus for cyber security: The NICE Cyber Security Framework Izzat Alsmadi, Chuck Easttom, Lo’ai Tawalbeh, 2020-04-20 This textbook covers security controls and management. It is for courses in cyber security education that follow National Initiative for Cybersecurity Education (NICE) work roles and framework that adopt the Competency-Based Education (CBE) method. The book follows the CBE general framework, meaning each chapter contains three sections, knowledge and questions, and skills/labs for skills and sbilities. The author makes an explicit balance between knowledge and skills material in information security, giving readers immediate applicable skills. The book is divided into several parts, including: Information Assurance / Encryption; Information Systems Security Management; Information Systems / Network Security; Information Technology Management; IT Management; and IT Risk Management. |
| do you need calculus for cyber security: Computer Crime Indira Carr, 2017-07-05 Alongside its positive impact of providing a global reach, the Internet is prone to a variety of abuses. In the 1990s it was unauthorised access of computers and impairment of the operation of computers through the introduction of viruses and worms that took centre stage. Since then the potential of the Internet for fraudulent activities has been realised by the criminal fraternity and, in recent years, we have seen, for instance, the rise of identity theft and the widespread distribution of offensive and illegal materials. The collection of essays in this volume, while being highly selective, provides a snapshot of the parameters of computer crime, the legal response and discussions surrounding ways to improve the security of cyberspace. |
| do you need calculus for cyber security: Cyber Resilience of Systems and Networks Alexander Kott, Igor Linkov, 2018-05-30 This book introduces fundamental concepts of cyber resilience, drawing expertise from academia, industry, and government. Resilience is defined as the ability to recover from or easily adjust to shocks and stresses. Unlike the concept of security - which is often and incorrectly conflated with resilience -- resilience refers to the system's ability to recover or regenerate its performance after an unexpected impact produces a degradation in its performance. A clear understanding of distinction between security, risk and resilience is important for developing appropriate management of cyber threats. The book presents insightful discussion of the most current technical issues in cyber resilience, along with relevant methods and procedures. Practical aspects of current cyber resilience practices and techniques are described as they are now, and as they are likely to remain in the near term. The bulk of the material is presented in the book in a way that is easily accessible to non-specialists. Logical, consistent, and continuous discourse covering all key topics relevant to the field will be of use as teaching material as well as source of emerging scholarship in the field. A typical chapter provides introductory, tutorial-like material, detailed examples, in-depth elaboration of a selected technical approach, and a concise summary of key ideas. |
| do you need calculus for cyber security: Analytic Geometry and Calculus Herbert Federer, Bjarni Jónsson, 1961 |
| do you need calculus for cyber security: The Business of Cyber Peter Fagan, 2024-02-23 This book examines the cybersecurity phenomenon, looking at the folklore, the hype, and the behaviour of its practitioners. A central theme is that the management of cybersecurity needs to be owned by the people running the organisation, rather than by the cybersecurity team, who frequently don’t have management as a core skill. In order to effect that change, managers need to have the background and detail to challenge what they are being told, enabling them to engage in a way that will result in more appropriate outcomes for the business. This book provides that background and detail. It debunks a number of cyber-myths, and calls out basic errors in the accepted thinking on cyber. The content is strongly rooted in available research and presented in an accessible manner, with a number of business-related case studies. Each chapter in the book takes a theme such as end-user behaviours and compares the available evidence with what the industry would like to have its customers believe. The conclusion is that there is definitely a problem, and we certainly need cyber defences. Just not the ones the industry is currently selling. |
| do you need calculus for cyber security: Context-Aware Systems and Applications, and Nature of Computation and Communication Phan Cong Vinh, Abdur Rakib, 2019-10-31 This book constitutes the refereed post-conference proceedings of the International Conferences ICCASA and ICTCC 2019, held in November 2019 in My Tho, Vietnam. The 20 revised full papers presented were carefully selected from 33 submissions. The papers of ICCASA cover a wide spectrum in the area of context-aware-systems. CAS is characterized by its self- facets such as self-organization, self-configuration, self-healing, self-optimization, self-protection used to dynamically control computing and networking functions. The papers of ICTCC cover formal methods for self-adaptive systems and discuss natural approaches and techniques for computation and communication. |
| do you need calculus for cyber security: Recent Advances in Computational Intelligence and Cyber Security Ashok Kumar Singh, Zeeshan Ali Siddiqui, Siddharth Singh, Amit Kumar Singh, Tanveer J. Siddiqui, 2024-07-08 In the ever-accelerating tapestry of our digital age, the symbiotic relationship between computational intelligence and cyber security has become the linchpin of progress. The relentless pace of technological evolution and the ceaseless emergence of cyber threats demand not only adaptation but also an exploration of the forefronts of innovation and defence. Recent Advances in Computational Intelligence and Cyber security is a testament to the exhilarating journey undertaken by researchers, practitioners, and visionaries in these pivotal fields. Within the confines of this book, we embark on a captivating exploration of the cutting-edge developments that define the current state of computational intelligence and the intricate dance with the ever-evolving landscape of cyber security. |
| do you need calculus for cyber security: Cyber Espionage and the Theft of U.S. Intellectual Property and Technology United States. Congress. House. Committee on Energy and Commerce. Subcommittee on Oversight and Investigations, 2014 |
| do you need calculus for cyber security: Penetration Testing For Dummies Robert Shimonski, 2020-03-27 Target, test, analyze, and report on security vulnerabilities with pen testing Pen Testing is necessary for companies looking to target, test, analyze, and patch the security vulnerabilities from hackers attempting to break into and compromise their organizations data. It takes a person with hacking skills to look for the weaknesses that make an organization susceptible to hacking. Pen Testing For Dummies aims to equip IT enthusiasts at various levels with the basic knowledge of pen testing. It is the go-to book for those who have some IT experience but desire more knowledge of how to gather intelligence on a target, learn the steps for mapping out a test, and discover best practices for analyzing, solving, and reporting on vulnerabilities. The different phases of a pen test from pre-engagement to completion Threat modeling and understanding risk When to apply vulnerability management vs penetration testing Ways to keep your pen testing skills sharp, relevant, and at the top of the game Get ready to gather intelligence, discover the steps for mapping out tests, and analyze and report results! |
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