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    Differential Equations: For Scientists and Engineers

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    This book is designed to serve as a textbook for a course on ordinary differential equations, which is usually a required course in most science and engineering disciplines and follows calculus courses. The book begins with linear algebra, including a number of physical applications, and goes on to discuss first-order differential equations, linear systems of differential equations, higher order differential equations, Laplace transforms, nonlinear systems of differential equations, and numerical methods used in solving differential equations. The style of presentation of the book ensures that the student with a minimum of assistance may apply the theorems and proofs presented. Liberal use of examples and homework problems aids the student in the study of the topics presented and applying them to numerous applications in the real scientific world. This textbook focuses on the actual solution of ordinary differential equations preparing the student to solve ordinary differential equations when exposed to such equations in subsequent courses in engineering or pure science programs. The book can be used as a text in a one-semester core course on differential equations, alternatively it can also be used as a partial or supplementary text in intensive courses that cover multiple topics including differential equations

    Introductory Mathematical Analysis for Quantitative Finance

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    Introductory Mathematical Analysis for Quantitative Finance is a textbook designed to enable students with little knowledge of mathematical analysis to fully engage with modern quantitative finance. A basic understanding of dimensional Calculus and Linear Algebra is assumed. The exposition of the topics is as concise as possible, since the chapters are intended to represent a preliminary contact with the mathematical concepts used in Quantitative Finance. The aim is that this book can be used as a basis for an intensive one-semester course

    R for Finite Element Analyses of Size-dependent Microscale Structures

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    This book addresses the static and dynamic analysis of linear elastic size-dependent structures based on the modified couple stress theory. It focuses on establishing the governing equations of the size-dependent structures, deriving the associated finite element models, and implementing those models using the R programming language. The implemented functions are employed to develop a special R package (equivalent to a MATLAB toolbox) called microfiniteR for this book. In each chapter, the governing equations are formulated using the variational method, and the behaviour of the structures is examined on the basis of their load-deformation characteristics (in the case of static analyses) and by evaluating their eigenvalues (in the case of dynamics and buckling problems). The first chapter introduces readers to the R programming language, beginning with the resources needed to make use of the language and ending with a list of recommended texts. The remaining chapters cover the requisite linear elastic theory and highlight the implemented R functions. Each chapter concludes with a brief summary and relevant references

    Epidemic-logistics Modeling: A New Perspective on Operations Research

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    This book is the first work to conduct the emergency logistics optimization problem under the epidemic environment (whether natural or man-made), which provides a new perspective for the application of optimization theory. In this book, the research methods involve epidemic dynamics, scenario-based emergency decision-making method, big data which combines the traditional and emerging technologies. The authors take epidemic outbreak as the research object and deeply integrate the epidemic spread model with the optimization model of emergency resource scheduling, which opens up a novel application area of operations researc

    Proceedings of the 1st International and Interdisciplinary Conference on Digital Environments for Education, Arts and Heritage : EARTH 2018

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    This book gathers peer-reviewed papers presented at the 1st International and Interdisciplinary Conference on Digital Environments for Education, Arts and Heritage (EARTH2018), held in Brixen, Italy in July 2018. The papers focus on interdisciplinary and multi-disciplinary research concerning cutting-edge cultural heritage informatics and engineering; the use of technology for the representation, preservation and communication of cultural heritage knowledge; as well as heritage education in digital environments; innovative experiments in the field of digital representation; and methodological reflections on the use of IT tools in various educational contexts. The scope of the papers ranges from theoretical research to applications, including education, in several fields of science, technology and art. EARTH 2018 addressed a variety of topics and subtopics, including digital representation technologies, virtual museums and virtual exhibitions, virtual and augmented reality, digital heritage and digital arts, art and heritage education, teaching and technologies for museums, VR and AR technologies in schools, education through digital media, psychology of perception and attention, psychology of arts and communication, as well as serious games and gamification. As such the book provides architects, engineers, computer scientists, social scientists and designers interested in computer applications and cultural heritage with an overview of the latest advances in the field, particularly in the context of science, arts and education

    Harmonic Balance for Nonlinear Vibration Problems

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    This monograph presents an introduction to Harmonic Balance for nonlinear vibration problems, covering the theoretical basis, its application to mechanical systems, and its computational implementation. Harmonic Balance is an approximation method for the computation of periodic solutions of nonlinear ordinary and differential-algebraic equations. It outperforms numerical forward integration in terms of computational efficiency often by several orders of magnitude. The method is widely used in the analysis of nonlinear systems, including structures, fluids and electric circuits. The book includes solved exercises which illustrate the advantages of Harmonic Balance over alternative methods as well as its limitations. The target audience primarily comprises graduate and post-graduate students, but the book may also be beneficial for research experts and practitioners in industry

    Critical Space Infrastructures : Risk, Resilience and Complexity

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    This book introduces readers to the topical area of CSI: critical space infrastructure, which is defined as an emerging domain of systems-of-systems encompassing hardware, workforce, environment, facilities, business and organizational entities. Further, it includes unmanned air systems, satellites, rockets, space probes, and orbital stations, and involves multi-directional interactions essential for maintenance of vital societal functions (i.e., health, safety, economic and social well-being), the loss or disruption of which would have significant impact on virtually any nation. The topics covered include the main elements of CSI, CSI taxonomy, effects of CSI on other infrastructure systems, establishing quantitative and qualitative parameters, global and national effects of CSI failure, cascading disruptive phenomena, chilling effects in various fields, CSI protection, deliberate threats to space systems (e.g., electromagnetic pulse attacks), space governance, and a path forward for CSI research. Modern society is highly dependent on the continuous operation of critical infrastructure systems for the supply of crucial goods and services including, among others, the power supply, drinking water supply, and transportation systems; yet space systems – which are critical enablers for several commercial, scientific and military applications – are rarely discussed. This book addresses this gap

    Handbook of Mobile Data Privacy

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    This handbook covers the fundamental principles and theory, and the state-of-the-art research, systems and applications, in the area of mobility data privacy. It is primarily addressed to computer science and statistics researchers and educators, who are interested in topics related to mobility privacy. This handbook will also be valuable to industry developers, as it explains the state-of-the-art algorithms for offering privacy. By discussing a wide range of privacy techniques, providing in-depth coverage of the most important ones, and highlighting promising avenues for future research, this handbook also aims at attracting computer science and statistics students to this interesting field of research. The advances in mobile devices and positioning technologies, together with the progress in spatiotemporal database research, have made possible the tracking of mobile devices (and their human companions) at very high accuracy, while supporting the efficient storage of mobility data in data warehouses, which this handbook illustrates. This has provided the means to collect, store and process mobility data of an unprecedented quantity, quality and timeliness. As ubiquitous computing pervades our society, user mobility data represents a very useful but also extremely sensitive source of information. On one hand, the movement traces that are left behind by the mobile devices of the users can be very useful in a wide spectrum of applications such as urban planning, traffic engineering, and environmental pollution management. On the other hand, the disclosure of mobility data to third parties may severely jeopardize the privacy of the users whose movement is recorded, leading to abuse scenarios such as user tailing and profiling. A significant amount of research work has been conducted in the last 15 years in the area of mobility data privacy and important research directions, such as privacy-preserving mobility data management, privacy in location sensing technologies and location-based services, privacy in vehicular communication networks, privacy in location-based social networks, privacy in participatory sensing systems which this handbook addresses.. This handbook also identifies important privacy gaps in the use of mobility data and has resulted to the adoption of international laws for location privacy protection (e.g., in EU, US, Canada, Australia, New Zealand, Japan, Singapore), as well as to a large number of interesting technologies for privacy-protecting mobility data, some of which have been made available through open-source systems and featured in real-world applications

    An Introduction to Machine Learning

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    Just like electricity, Machine Learning will revolutionize our life in many ways – some of which are not even conceivable today. This book provides a thorough conceptual understanding of Machine Learning techniques and algorithms. Many of the mathematical concepts are explained in an intuitive manner. The book starts with an overview of machine learning and the underlying Mathematical and Statistical concepts before moving onto machine learning topics. It gradually builds up the depth, covering many of the present day machine learning algorithms, ending in Deep Learning and Reinforcement Learning algorithms. The book also covers some of the popular Machine Learning applications. The material in this book is agnostic to any specific programming language or hardware so that readers can try these concepts on whichever platforms they are already familiar with. Offers a comprehensive introduction to Machine Learning, while not assuming any prior knowledge of the topic; Provides a complete overview of available techniques and algorithms in conceptual terms, covering various application domains of machine learning; Not tied to any specific software language or hardware implementation

    Product Lifecycle Management Volume 4: The Case Studies

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