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Adventures in Mathematical Reasoning

by Sherman Stein

Equally appealing to beginners and to the mathematically adept, this book bridges the humanities and sciences to explore applications behind computers, cell phones, measurement of astronomical distance, cell growth, and other areas. Eight fascinating examples show how understanding certain topics in advanced mathematics requires nothing more than arithmetic and common sense.Each chapter begins with a question about strings consisting of nothing more than two letters, and every such question raises intriguing problems to be explored and solved. Author Sherman Stein proceeds at a measured pace that permits readers to move through the chapters in a leisurely fashion, omitting none of the steps. His approach makes complex subjects -- from topology to set theory to probability -- both accessible and exciting.

Adventures in Statistics: How We Live in a World of Numbers (Copernicus Books)

by Robert T. Stewart

This book is about how statistics play a role in life, whether in business, psychology, biology, economics, or just about anything short of basket weaving. You cannot make a trip to the doctor, watch a football game, or even go to the grocery store without some statistic staring you down. Your age, weight, and cholesterol make you a high risk for diabetes … the chance that your team will win the game is 12.5 percent … 4 out of 5 dentists like this toothpaste. What does it all mean? Adventures in Statistics: How We Live in a World of Numbers tells you what all those numbers mean. But the book does not spit out a bunch of mathematical formulas; the book tells stories. Stories that explain statistics through popular culture, sports, and history. You’re confused about that false positive warning in that drug commercial, the 2007 comedy Juno explains how medical tests – including pregnancy tests – fail and why. Not clear about what your coworkers are talking about when they say, ‘black swans.’ the 1997 blockbuster Titanic makes sense of the concept. Adventures in Statistics: How We Live in a World of Numbers shows how professionals in medicine, business, politics, sports, and many other fields use numbers. So, just about everyone would gain from reading this book, perhaps even basket weavers.

Adventures of Mind and Mathematics (Mathematics in Mind)

by Wolff-Michael Roth

This monograph uses the concept and category of “event” in the study of mathematics as it emerges from an interaction between levels of cognition, from the bodily experiences to symbolism. It is subdivided into three parts.The first moves from a general characterization of the classical approach to mathematical cognition and mind toward laying the foundations for a view on the mathematical mind that differs from going approaches in placing primacy on events.The second articulates some common phenomena–mathematical thought, mathematical sign, mathematical form, mathematical reason and its development, and affect in mathematics–in new ways that are based on the previously developed ontology of events. The final part has more encompassing phenomena as its content, most prominently the thinking body of mathematics, the experience in and of mathematics, and the relationship between experience and mind. The volume is well-suited for anyone with a broad interest in educational theory and/or social development, or with a broad background in psychology.

The Adventures of Penrose the Mathematical Cat

by Theoni Pappas

Penrose, a cat with a knack for math, takes children on an adventurous tour of mathematical concepts from fractals to infinity.

Adversarial and Uncertain Reasoning for Adaptive Cyber Defense: Control- and Game-Theoretic Approaches to Cyber Security (Lecture Notes in Computer Science #11830)

by Sushil Jajodia George Cybenko Peng Liu Cliff Wang Michael Wellman

Today’s cyber defenses are largely static allowing adversaries to pre-plan their attacks. In response to this situation, researchers have started to investigate various methods that make networked information systems less homogeneous and less predictable by engineering systems that have homogeneous functionalities but randomized manifestations. The 10 papers included in this State-of-the Art Survey present recent advances made by a large team of researchers working on the same US Department of Defense Multidisciplinary University Research Initiative (MURI) project during 2013-2019. This project has developed a new class of technologies called Adaptive Cyber Defense (ACD) by building on two active but heretofore separate research areas: Adaptation Techniques (AT) and Adversarial Reasoning (AR). AT methods introduce diversity and uncertainty into networks, applications, and hosts. AR combines machine learning, behavioral science, operations research, control theory, and game theory to address the goal of computing effective strategies in dynamic, adversarial environments.

Adversarial Multimedia Forensics (Advances in Information Security #104)

by Ehsan Nowroozi Kassem Kallas Alireza Jolfaei

This book explores various aspects of digital forensics, security and machine learning, while offering valuable insights into the ever-evolving landscape of multimedia forensics and data security. This book’s content can be summarized in two main areas. The first area of this book primarily addresses techniques and methodologies related to digital image forensics. It discusses advanced techniques for image manipulation detection, including the use of deep learning architectures to generate and manipulate synthetic satellite images. This book also explores methods for face recognition under adverse conditions and the importance of forensics in criminal investigations. Additionally, the book highlights anti-forensic measures applied to photos and videos, focusing on their effectiveness and trade-offs.The second area of this book focuses on the broader landscape of security, including the detection of synthetic human voices, secure deep neural networks (DNNs) and federated learning in the context of machine learning security. It investigates novel methods for detecting synthetic human voices using neural vocoder artifacts, and it explores the vulnerabilities and security challenges of federated learning in the face of adversarial attacks. Furthermore, this book delves into the realms of linguistic steganography and steganalysis, discussing the evolving techniques that utilize deep learning and natural language processing to enhance payload and detection accuracy.Overall, this book provides a comprehensive overview of the ever-evolving field of digital forensics and security, making it an invaluable resource for researchers and students interested in image forensics, machine learning security and information protection. It equips readers with the latest knowledge and tools to address the complex challenges posed by the digital landscape. Professionals working in this related field will also find this book to be a valuable resource.

Aeronomy of Mars (Astrophysics and Space Science Library #469)

by S. A. Haider

“Mangalyaan was launched on November 5, 2013, to Mars by Indian Space Research Organization (ISRO). On October 2, 2022, ISRO declared that Mangalyaan had lost communications with Earth. Mars Color Camera (MCC) on-board Mangalyaan has taken thousands pictures of Mars. A full disk of Mars image observed by Viking is shown on the cover page of this book. Mars is covered by the dust as observed by Mangalyaan (from Arya et al., 2015). This book presents the atmospheric and ionospheric results obtained from all missions to Mars. It also covers various atmospheric and ionospheric models of Mars. Broadly speaking, the planet’s atmosphere can be divided into two regions: lower and upper. These two regions can be coupled due to the propagation of energy from the lower to the upper atmosphere. The first-ever book on the aeronomy of Mars, this work is intended to help students and researchers familiarize themselves with the field of aeronomy. In addition, it helps planetary probe designers, engineers, and other users in the scientific community, e.g., planetary geologists and geophysicists”.

Aerospace Actuators: Signal-by-Wire and Power-by-Wire

by Jean-Charles Maré

This book is the second in a series of volumes that cover the topic of aerospace actuators following a systems-based approach.This second volume brings an original, functional and architectural vision to electric aerospace actuators. The aspects of signal (Signal-by-Wire) and power (Power-by-Wire) are treated from the point of view of necessity, their evolution throughout history, and operational solutions both existing and in development. This volume is based on an extensive bibliography, numerous supporting examples and orders of magnitude which refer to flight commands and landing gear for various aircraft (planes, helicopters and missile launchers) in commercial, private and military applications. The topics covered in this set of books constitute a significant source of information for individuals and engineers from a variety of disciplines, seeking to learn more about aerospace hydraulics.

Aerospace Actuators

by Jean-Charles Maré

This book is the third in a series dedicated to aerospace actuators. It uses the contributions of the first two volumes to conduct case studies on actuation for flight controls, landing gear and engines. The actuation systems are seen in several aspects: signal and power architectures, generation and distribution of hydraulic or mechanical power, control and reliability, and evolution towards more electrical systems. The first three chapters are dedicated to the European commercial airplanes that marked their era: Caravelle, Concorde, Airbus A320 and Airbus A380. The final chapter deals with the flight controls of the Boeing V-22 and AgustaWestland AW609 tiltrotor aircraft. These address concerns that also apply to electromechanical actuators, which should be fitted on more electrical aircraft in the future. The topics covered in this series of books constitute a significant source of information for individuals and engineers from a variety of disciplines, seeking to learn more about aerospace actuation systems and components.

Aerospace Actuators, Volume 1: Needs, Reliability and Hydraulic Power Solutions

by Jean-Charles Maré

This book is the first of a series of volumes that cover the topic of aerospace actuators following a systems-based approach. This first volume provides general information on actuators and their reliability, and focuses on hydraulically supplied actuators. Emphasis is put on hydraulic power actuators as a technology that is used extensively for all aircraft, including newer aircraft. Currently, takeovers by major corporations of smaller companies in this field is threatening the expertise of aerospace hydraulics and has inevitably led to a loss of expertise. Further removal of hydraulics teaching in engineering degrees means there is a need to capitalize efforts in this field in order to move it forward as a means of providing safer, greener, cheaper and faster aerospace services. The topics covered in this set of books constitute a significant source of information for individuals and engineers seeking to learn more about aerospace hydraulics.

Aerospace Robotics III (GeoPlanet: Earth and Planetary Sciences)

by Jerzy Sasiadek

This book includes extended versions of original works on aerospace robotics presented at the Conference on Aerospace Robotics (CARO) in Warsaw. It presents recent advances in aerospace robotics, such as manipulators, which are widely used in space for orbital operations, for example, the Mobile Servicing System on the International Space Station and the Shuttle Remote Manipulator System. Such manipulators are operated by astronauts and mounted on large platforms, making the influence of manipulator motion on the state of the platform insignificant. Application of manipulators for capture maneuvers in unmanned On-Orbit Servicing or Active Debris Removal missions requires reliable control algorithms that take into account the free-floating nature of the manipulator-equipped spacecraft. As such the book presents possibilities for using space manipulators for exploration and a variety of space operations. Further, it discusses new methods for the control of autonomous unmanned aerial vehicles (UAV) using vision systems and sensor fusion methodologies. Such autonomous flying vehicles could be used for materials deliveries and emergencies, as well as surveying and servicing.

Aerospace System Analysis and Optimization in Uncertainty (Springer Optimization and Its Applications #156)

by Loïc Brevault Mathieu Balesdent Jérôme Morio

Spotlighting the field of Multidisciplinary Design Optimization (MDO), this book illustrates and implements state-of-the-art methodologies within the complex process of aerospace system design under uncertainties. The book provides approaches to integrating a multitude of components and constraints with the ultimate goal of reducing design cycles. Insights on a vast assortment of problems are provided, including discipline modeling, sensitivity analysis, uncertainty propagation, reliability analysis, and global multidisciplinary optimization. The extensive range of topics covered include areas of current open research. This Work is destined to become a fundamental reference for aerospace systems engineers, researchers, as well as for practitioners and engineers working in areas of optimization and uncertainty. Part I is largely comprised of fundamentals. Part II presents methodologies for single discipline problems with a review of existing uncertainty propagation, reliability analysis, and optimization techniques. Part III is dedicated to the uncertainty-based MDO and related issues. Part IV deals with three MDO related issues: the multifidelity, the multi-objective optimization and the mixed continuous/discrete optimization and Part V is devoted to test cases for aerospace vehicle design.

AeroStruct: Contributions to the Closing Symposium of the German Research Initiative AeroStruct, October 13–14, 2015, Braunschweig, Germany (Notes on Numerical Fluid Mechanics and Multidisciplinary Design #138)

by Ralf Heinrich

This book reports on the German research initiative AeroStruct, a three-year collaborative project between universities and the aircraft industry. It describes the development of an integrated multidisciplinary simulation environment for aircraft analysis and optimization using high-fidelity methods. This system is able to run at a high level of automatism, thus representing a step forward with respect to previous ones. Its special features are: a CAD description that is independent from the disciplines involved, an automated CFD mesh generation and an automated structure model generation including a sizing process. The book also reports on test cases by both industrial partners and DLR demonstrating the advantages of the new environment and its suitability for the industry. These results were also discussed during the AeroStruct closing Symposium, which took place on 13-14 October 2015 at the DLR in Braunschweig, Germany. The book provides expert readers with a timely report on multidisciplinary aircraft design and optimization. Thanks to a good balance between theory and practice, it is expected to address an audience of both academics and professional, and to offer them new ideas for future research and development.

Affect and Mathematics Education: Fresh Perspectives on Motivation, Engagement, and Identity (ICME-13 Monographs)

by Markku S. Hannula Gilah C. Leder Francesca Morselli Maike Vollstedt Qiaoping Zhang

This open access book, inspired by the ICME 13 topic study group “Affect, beliefs and identity in mathematics education”, presents the latest trends in research in the area. Following an introduction and a survey chapter providing a concise overview of the state-of-art in the field of mathematics-related affect, the book is divided into three main sections: motivation and values, engagement, and identity in mathematics education. Each section comprises several independent chapters based on original research, as well as a reflective commentary by an expert in the area. Collectively, the chapters present a rich methodological spectrum, from narrative analysis to structural equation modelling. In the final chapter, the editors look ahead to future directions in the area of mathematics-education-related affect.It is a timely resource for all those interested in the interaction between affect and mathematics education.

Affect in Mathematical Modeling (Advances in Mathematics Education)

by Bharath Sriraman Scott A. Chamberlin

In the book, the relationship between affect and modeling is discussed because, as educational psychologists have suggested for decades, affect directly influences achievement. Moreover, given the importance of mathematical modeling and the applications to high level mathematics, it provides the field of mathematics psychology with insight regarding affect, in relation to mathematical modeling. By doing so it helps determine the degree to which understanding of mathematics and understanding affect in mathematical modeling episodes may have a direct effect on cognition.

Affective Computing for Social Good: Enhancing Well-being, Empathy, and Equity (The Springer Series in Applied Machine Learning)

by Muskan Garg Rajesh Shardanand Prasad

Affective Computing for Social Good: Enhancing Well-being, Empathy, and Equity offers an insightful journey into the intricate realm of affective computing. It covers a spectrum of topics ranging from foundational theories and technologies to ethical considerations and future possibilities. Beginning with "Deciphering the Emotional Spectrum: Advances in Emotion Science and Analysis," it sets the stage by tracing the evolution of understanding human emotions. Subsequent chapters explore practical applications, such as integrating clinical psychology with affective computing for therapeutic progress and leveraging affective computing in diagnosing and managing mood disorders more efficiently. As the narrative unfolds, the book emphasizes the crucial role of affective computing in fostering social justice and equity. It underscores the need for developing inclusive algorithms and databases while addressing ethical challenges like privacy, consent, and the risk of emotional manipulation. These discussions emphasize the significance of ethical deployment and regulation. The book also covers the technical aspects and applications of affective computing, including natural language processing for emotion recognition and analysis, voice emotion detection, and visual emotion recognition. It extends to applications, such as the use of affective computing in health management via recommender systems and personalized well-being interventions in mental health care. Addressing data challenges, "Enhancing Affective Computing with Data Augmentation: Strategies for Overcoming Limited Data Availability" presents solutions for imbalances affecting model performance. "Advancements in Multimodal Emotion Recognition" highlights the integration of facial expressions with physiological signals to improve emotion recognition accuracy and reliability. Concluding with "Ethical Considerations in Affective Computing" and "Cognitive Currents: A Path from Neuroscience to Consciousness," the book connects technical advancements in affective computing with broader ethical and philosophical inquiries surrounding consciousness and the human experience. Features: Helps readers understand the potential benefits of emotionally intelligent AI systems, such as improving mental health care, enhancing education, or promoting more ethical decision-making. Addresses ethical considerations related to the development and deployment of emotionally intelligent AI systems, helping readers to become more aware of the potential risks and trade-offs involved. Presents new approaches or frameworks for developing emotionally intelligent AI systems, providing readers with innovative ideas and perspectives. Provides examples of successful case studies where emotionally intelligent AI systems were used for social good, which may inspire readers to think about how they can contribute to society through AI development. Overall, this book will help readers gain a deeper understanding of the intersection between AI and human emotions, and how this technology can be used to create a more empathetic, compassionate, and socially responsible world.

Affective Decision Making Under Uncertainty: Risk, Ambiguity and Black Swans (Lecture Notes in Economics and Mathematical Systems #691)

by Donald J. Brown

This book is an exploration of the ubiquity of ambiguity in decision-making under uncertainty. It presents various essays on behavioral economics and behavioral finance that draw on the theory of Black Swans (Taleb 2010), which argues for a distinction between unprecedented events in our past and unpredictable events in our future. The defining property of Black Swan random events is that they are unpredictable, i.e., highly unlikely random events. In this text, Mandelbrot’s (1972) operational definition of risky random unpredictable events is extended to Black Swan assets – assets for which the cumulative probability distribution or conditional probability distribution of random future asset returns is a power distribution. Ambiguous assets are assets for which the uncertainties of future returns are not risks. Consequently, there are two disjoint classes of Black Swan assets: Risky Black Swan assets and Ambiguous Black Swan assets, a new class of ambiguous assets with unpredictable random future outcomes. The text is divided into two parts, the first of which focuses on affective moods, introduces affective utility functions and discusses the ambiguity of Black Swans. The second part, which shifts the spotlight to affective equilibrium in asset markets, features chapters on affective portfolio analysis and Walrasian and Gorman Polar Form Equilibrium Inequalities. In order to gain the most from the book, readers should have completed the standard introductory graduate courses on microeconomics, behavioral finance, and convex optimization. The book is intended for advanced undergraduates, graduate students and post docs specializing in economic theory, experimental economics, finance, mathematics, computer science or data analysis.

Affine Diffusions and Related Processes: Simulation, Theory and Applications (Bocconi & Springer Series #6)

by Aurélien Alfonsi

This book gives an overview of affine diffusions, from Ornstein-Uhlenbeck processes to Wishart processes and it considers some related diffusions such as Wright-Fisher processes. It focuses on different simulation schemes for these processes, especially second-order schemes for the weak error. It also presents some models, mostly in the field of finance, where these methods are relevant and provides some numerical experiments. The book explains the mathematical background to understand affine diffusions and analyze the accuracy of the schemes.

Affine Maps, Euclidean Motions and Quadrics (Springer Undergraduate Mathematics Series)

by Agustí Reventós Tarrida

Affine geometry and quadrics are fascinating subjects alone, but they are also important applications of linear algebra. They give a first glimpse into the world of algebraic geometry yet they are equally relevant to a wide range of disciplines such as engineering. This text discusses and classifies affinities and Euclidean motions culminating in classification results for quadrics. A high level of detail and generality is a key feature unmatched by other books available. Such intricacy makes this a particularly accessible teaching resource as it requires no extra time in deconstructing the author's reasoning. The provision of a large number of exercises with hints will help students to develop their problem solving skills and will also be a useful resource for lecturers when setting work for independent study. Affinities, Euclidean Motions and Quadrics takes rudimentary, and often taken-for-granted, knowledge and presents it in a new, comprehensive form. Standard and non-standard examples are demonstrated throughout and an appendix provides the reader with a summary of advanced linear algebra facts for quick reference to the text. All factors combined, this is a self-contained book ideal for self-study that is not only foundational but unique in its approach.' This text will be of use to lecturers in linear algebra and its applications to geometry as well as advanced undergraduate and beginning graduate students.

Affine, Vertex and W-algebras (Springer INdAM Series #37)

by Paolo Papi Dražen Adamović

This book focuses on recent developments in the theory of vertex algebras, with particular emphasis on affine vertex algebras, affine W-algebras, and W-algebras appearing in physical theories such as logarithmic conformal field theory. It is widely accepted in the mathematical community that the best way to study the representation theory of affine Kac–Moody algebras is by investigating the representation theory of the associated affine vertex and W-algebras. In this volume, this general idea can be seen at work from several points of view. Most relevant state of the art topics are covered, including fusion, relationships with finite dimensional Lie theory, permutation orbifolds, higher Zhu algebras, connections with combinatorics, and mathematical physics. The volume is based on the INdAM Workshop Affine, Vertex and W-algebras, held in Rome from 11 to 15 December 2017. It will be of interest to all researchers in the field.

Africa: A Geographical Study (Routledge Revivals)

by Alan B Mountjoy Clifford Embleton

First published in 1965, Africa provides a geographical, political, economic and social description of the continent. Contemporary Africa is a continent of change and revolutions. The diversity and limitations of the African environment gives us a fuller understanding of the explosive dynamism of the African economic and social scene. This book will be of interest to students of geography, economy, anthropology and political science.

Africa: Geography and Development (Routledge Revivals)

by Alan B Mountjoy David Hilling

First published in 1988, Africa examines the varied pattern of development in the continent, the progress and the disappointments experienced, and the prospects. This picture is set firmly within the frame of the continent’s geography. From a general synthesis, the books moves to a country by country analysis of the interdependence of geography and economic development. The authors’ analysis of the effects of varied development strategies in Africa leads them, in the final section, to discuss what lessons maybe learned from these earlier initiatives and to assess the changes in development policies that were later implemented. This book will be of interest to students of geography, economics and development studies.

Africa and Mathematics: From Colonial Findings Back to the Ishango Rods (Mathematics, Culture, and the Arts)

by Dirk Huylebrouck

This volume on ethnomathematics in Central Africa fills a gap in the current literature, focusing on a region rarely explored by other publications. It highlights the discovery of the Ishango rod, which was found to be the oldest mathematical tool in humanity's history, thereby shifting the origin of mathematics to the heart of Africa, and explores the different scientific hypotheses that emerged as a result. While it contains some high-level mathematics, the non-mathematical reader can easily skip these portions and enjoy the book’s survey of African history, culture, and art.

African Minorities in the New World (African Studies)

by Toyin Falola Niyi Afolabi

This book uncovers the reality that new African immigrants now represent a significant force in the configuration of American polity and identity especially in the last forty years. Despite their minority status, African immigrants are making their marks in various areas of human endeavor and accomplishments—from academic, to business, to even scientific inventions. The demographic shift is both welcome news as well as a matter for concern given the consequences of displacement and the paradoxes of exile in the new location. By its very connection to the ‘Old African Diaspora,’ the notion of a ‘New African Diaspora’ marks a clear indication of a historical progression reconnecting continental Africa with the New World without the stigma of slavery. Yet, the notion of trans-Atlantic slavery is never erased when the African diaspora is mentioned whether in the old or new world. Within this paradoxical dispensation, the new African diaspora must be conceived as the aftermath of a global migration crisis.

Africa's Demographic Transition

by Abdo S. Yazbeck David Canning Sangeeta Raja

Africa is poised on the edge of a potential takeoff to sustained economic growth. This takeoff can be abetted by a demographic dividend from the changes in population age structure. Declines in child mortality, followed by declines in fertility, produce a 'bulge' generation and a large number of working age people, giving a boost to the economy. In the short run lower fertility leads to lower youth dependency rates and greater female labor force participation outside the home. Smaller family sizes also mean more resources to invest in the health and education per child boosting worker productivity. In the long run increased life spans from health improvements mean that this large, high-earning cohort will also want to save for retirement, creating higher savings and investments, leading to further productivity gains. Two things are required for the demographic dividend to generate an African economic takeoff. The first is to speed up the fertility decline that is currently slow or stalled in many countries. The second is economic policies that take advantage of the opportunity offered by demography. While demographic change can produce more, and high quality, workers, this potential workforce needs to be productively employed if Africa is to reap the dividend. However, once underway, the relationship between demographic change and human development works in both directions, creating a virtuous cycle that can accelerate fertility decline, social development, and economic growth. Empirical evidence points to three key factors for speeding the fertility transition: child health, female education, and women's empowerment, particularly through access to family planning. Harnessing the dividend requires job creation for the large youth cohorts entering working age, and encouraging foreign investment until domestic savings and investment increase. The appropriate mix of policies in each country depends on their stage of the demographic transition.

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