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Visibility-based Optimal Path and Motion Planning
by Paul Keng-Chieh WangThis monograph deals with various visibility-based path and motion planning problems motivated by real-world applications such as exploration and mapping planetary surfaces, environmental surveillance using stationary or mobile robots, and imaging of global air/pollutant circulation. The formulation and solution of these problems call for concepts and methods from many areas of applied mathematics including computational geometry, set-covering, non-smooth optimization, combinatorial optimization and optimal control. Emphasis is placed on the formulation of new problems and methods of approach to these problems. Since geometry and visualization play important roles in the understanding of these problems, intuitive interpretations of the basic concepts are presented before detailed mathematical development. The development of a particular topic begins with simple cases illustrated by specific examples, and then progresses forward to more complex cases. The intended readers of this monograph are primarily students and researchers in engineering, computer science and applied mathematics. An understanding of the mathematical development of the main results requires only basic knowledge of mathematical analysis, control, and optimization theories. Some exercises with various degrees of difficulty are provided at the end of the main chapters. The material presented here may serve as a portion of an introductory course or seminar on visibility-based optimal path and motion planning problems with the objective of stimulating interest and further studies in this relatively new area.
A Handbook of Test Construction: Introduction to Psychometric Design (Psychology Revivals)
by Paul KlinePsychological tests provide reliable and objective standards by which individuals can be evaluated in education and employment. Therefore accurate judgements must depend on the reliability and quality of the tests themselves. Originally published in 1986, this handbook by an internationally acknowledged expert provided an introductory and comprehensive treatment of the business of constructing good tests. Paul Kline shows how to construct a test and then to check that it is working well. Covering most kinds of tests, including computer presented tests of the time, Rasch scaling and tailored testing, this title offers: a clear introduction to this complex field; a glossary of specialist terms; an explanation of the objective of reliability; step-by-step guidance through the statistical procedures; a description of the techniques used in constructing and standardizing tests; guidelines with examples for writing the test items; computer programs for many of the techniques. Although the computer testing will inevitably have moved on, students on courses in occupational, educational and clinical psychology, as well as in psychological testing itself, would still find this a valuable source of information, guidance and clear explanation.
Economics
by Paul KrugmanAvailable with Achieve, Krugman and Wells’ widely adopted text helps students reach new levels of economic understanding. <P><P>The new edition is revised and enhanced, including new interactive graphs, interactive topic reviews, thorough coverage of the Covid recession, and updated analysis of aggregate demand/aggregate supply and monetary policy.
Mathematics in Cyber Research
by Paul L. GoethalsIn 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.
The Standard Model and Beyond (Series in Particle Physics, Cosmology and Gravitation)
by Paul LangackerThis new edition of The Standard Model and Beyond presents an advanced introduction to the physics and formalism of the standard model and other non-abelian gauge theories. It provides a solid background for understanding supersymmetry, string theory, extra dimensions, dynamical symmetry breaking, and cosmology. In addition to updating all of the experimental and phenomenological results from the first edition, it contains a new chapter on collider physics; expanded discussions of Higgs, neutrino, and dark matter physics; and many new problems. The book first reviews calculational techniques in field theory and the status of quantum electrodynamics. It then focuses on global and local symmetries and the construction of non-abelian gauge theories. The structure and tests of quantum chromodynamics, collider physics, the electroweak interactions and theory, and the physics of neutrino mass and mixing are thoroughly explored. The final chapter discusses the motivations for extending the standard model and examines supersymmetry, extended gauge groups, and grand unification. Thoroughly covering gauge field theories, symmetries, and topics beyond the standard model, this text equips readers with the tools to understand the structure and phenomenological consequences of the standard model, to construct extensions, and to perform calculations at tree level. It establishes the necessary background for readers to carry out more advanced research in particle physics. Supplementary materials are provided on the author’s website and a solutions manual is available for qualifying instructors.
Arithmetic
by Paul LockhartPaul Lockhart reveals arithmetic not as the rote manipulation of numbers but as a set of ideas that exhibit the surprising behaviors usually reserved for higher branches of mathematics. In this entertaining survey, he explores the nature of counting and different number systems—Western and non-Western—and weighs the pluses and minuses of each.
Measurement
by Paul LockhartLockhart's Mathematician's Lament outlined how we introduce math to students in the wrong way. Measurement explains how math should be done. With plain English and pictures, he makes complex ideas about shape and motion intuitive and graspable, and offers a solution to math phobia by introducing us to math as an artful way of thinking and living.
Measurement
by Paul LockhartPaul Lockhart’s Mathematician’s Lament outlined how we introduce math to students in the wrong way. Measurement explains how math should be done. With plain English and pictures, Lockhart makes complex ideas about shape and motion intuitive and graspable, and offers a solution to math phobia by introducing us to math as an artful way of thinking and living.In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science.Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can “do the math” in a way that brings emotional and aesthetic rewards. Measurement is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work.
The Mending of Broken Bones: A Modern Guide to Classical Algebra
by Paul LockhartA joyful and intimate celebration of the beauty and creativity of algebra from one of the foremost math educators of our time.For many of us, algebra conjures up memories of dull classes spent wondering when we’d ever have to solve a system of equations or factor a polynomial. Indeed, most of the time, if we need to plan a budget or figure out how early to leave the house for work, common sense or a quick, seat-of-the-pants approximation is good enough.But as mathematician Paul Lockhart argues in The Mending of Broken Bones, once we stop thinking of algebra in terms of its practical applications, we can appreciate it for the beautiful and gratifying subject that it is. In his hands, algebra is the delicate craft of untangling numerical puzzles to reveal the hidden patterns and often surprising behaviors of the numbers themselves. As Lockhart traverses numerical systems, slips into and out of higher-dimensional space, and delights in the intimate connections between algebra and geometry, we come to see the discipline from his viewpoint: not as the mundane exercises of our school years, but instead as an art form whose beauty lies in its elegant simplicity.Written in Lockhart’s charming and conversational prose, The Mending of Broken Bones is an impassioned and deeply personal celebration of algebra that helps us experience the profound joys of mathematical discovery.
Amazing and Aesthetic Aspects of Analysis (Undergraduate Texts In Mathematics Ser.)
by Paul LoyaLively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student reading this book is invited not only to acquire proficiency in the fundamentals of analysis, but to develop an appreciation for abstraction and the language of its expression. In studying this book, students will encounter:the interconnections between set theory and mathematical statements and proofs;the fundamental axioms of the natural, integer, and real numbers;rigorous ε-N and ε-δ definitions;convergence and properties of an infinite series, product, or continued fraction;series, product, and continued fraction formulæ for the various elementary functions and constants.Instructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results.
Lectures on Several Complex Variables
by Paul M. GauthierThis monograph provides a concise, accessible snapshot of key topics in several complex variables, including the Cauchy Integral Formula, sequences of holomorphic functions, plurisubharmonic functions, the Dirichlet problem, and meromorphic functions. Based on a course given at Université de Montréal, this brief introduction covers areas of contemporary importance that are not mentioned in most treatments of the subject, such as modular forms, which are essential for Wiles' theorem and the unification of quantum theory and general relativity. Also covered is the Riemann manifold of a function, which generalizes the Riemann surface of a function of a single complex variable and is a topic that is well-known in one complex variable, but rarely treated in several variables. Many details, which are intentionally left out, as well as many theorems are stated as problems, providing students with carefully structured instructive exercises. Prerequisites for use of this book are functions of one complex variable, functions of several real variables, and topology, all at the undergraduate level. Lectures on Several Complex Variables will be of interest to advanced undergraduate and beginning undergraduate students, as well as mathematical researchers and professors.
Facet Theory and the Mapping Sentence: Evolving Philosophy, Use and Application
by Paul M.W. HackettHow do we think about the worlds we live in? The formation of categories of events and objects seems to be a fundamental orientation procedure. Facet theory and its main tool, the mapping sentence, deal with categories of behavior and experience, their interrelationship, and their unification as our worldviews. In this book Hackett reviews philosophical writing along with neuroscientific research and information form other disciplines to provide a context for facet theory and the qualitative developments in this approach. With a variety of examples, the author proposes mapping sentences as a new way of understanding and defining complex behavior.
Facet Theory and the Mapping Sentence: Evolving Philosophy, Use and Declarative Applications
by Paul M.W. HackettThis book is the second edition of Facet Theory and the Mapping Sentence: Evolving Philosophy, Use and Application (2014). It consolidates the qualitative and quantitative research positions of facet theory and delves deeper into their qualitative application in psychology, social and the behavioural sciences and in the humanities. In their traditional quantitative guise, facet theory and its mapping sentence incorporate multi-dimensional statistics. They are also a way of thinking systematically and thoroughly about the world. The book is particularly concerned with the development of the declarative mapping sentence as a tool and an approach to qualitative research. The evolution of the facet theory approach is presented along with many examples of its use in a wide variety of research domains. Since the first edition, the major advance in facet theory has been the formalization of the use of the declarative mapping sentence and this is given a prominent position in the new edition. The book will be compelling reading for students at all levels and for academics and research professionals from the humanities, social sciences and behavioural sciences.
Data Science with Julia
by Peter Tait Paul McNicholas"This book is a great way to both start learning data science through the promising Julia language and to become an efficient data scientist."- Professor Charles Bouveyron, INRIA Chair in Data Science, Université Côte d’Azur, Nice, France Julia, an open-source programming language, was created to be as easy to use as languages such as R and Python while also as fast as C and Fortran. An accessible, intuitive, and highly efficient base language with speed that exceeds R and Python, makes Julia a formidable language for data science. Using well known data science methods that will motivate the reader, Data Science with Julia will get readers up to speed on key features of the Julia language and illustrate its facilities for data science and machine learning work. Features: Covers the core components of Julia as well as packages relevant to the input, manipulation and representation of data. Discusses several important topics in data science including supervised and unsupervised learning. Reviews data visualization using the Gadfly package, which was designed to emulate the very popular ggplot2 package in R. Readers will learn how to make many common plots and how to visualize model results. Presents how to optimize Julia code for performance. Will be an ideal source for people who already know R and want to learn how to use Julia (though no previous knowledge of R or any other programming language is required). The advantages of Julia for data science cannot be understated. Besides speed and ease of use, there are already over 1,900 packages available and Julia can interface (either directly or through packages) with libraries written in R, Python, Matlab, C, C++ or Fortran. The book is for senior undergraduates, beginning graduate students, or practicing data scientists who want to learn how to use Julia for data science. "This book is a great way to both start learning data science through the promising Julia language and to become an efficient data scientist." Professor Charles BouveyronINRIA Chair in Data ScienceUniversité Côte d’Azur, Nice, France
Discovering Prices: Auction Design in Markets with Complex Constraints (Kenneth J. Arrow Lecture Series)
by Paul MilgromTraditional economic theory studies idealized markets in which prices alone can guide efficient allocation, with no need for central organization. Such models build from Adam Smith’s famous concept of an invisible hand, which guides markets and renders regulation or interference largely unnecessary. Yet for many markets, prices alone are not enough to guide feasible and efficient outcomes, and regulation alone is not enough, either. Consider air traffic control at major airports. While prices could encourage airlines to take off and land at less congested times, prices alone do just part of the job; an air traffic control system is still indispensable to avoid disastrous consequences. With just an air traffic controller, however, limited resources can be wasted or poorly used. What’s needed in this and many other real-world cases is an auction system that can effectively reveal prices while still maintaining enough direct control to ensure that complex constraints are satisfied.In Discovering Prices, Paul Milgrom—the world’s most frequently cited academic expert on auction design—describes how auctions can be used to discover prices and guide efficient resource allocations, even when resources are diverse, constraints are critical, and market-clearing prices may not even exist. Economists have long understood that externalities and market power both necessitate market organization. In this book, Milgrom introduces complex constraints as another reason for market design. Both lively and technical, Milgrom roots his new theories in real-world examples (including the ambitious U.S. incentive auction of radio frequencies, whose design he led) and provides economists with crucial new tools for dealing with the world’s growing complex resource-allocation problems.
Putting Auction Theory to Work
by Paul MilgromProviding a comprehensive introduction to modern auction theory and its important new applications, this book is written by a leading economic theorist whose suggestions guided the creation of the new spectrum auction designs. Aimed at graduate students and professionals in economics, the volume provides the most up-to-date analysis of traditional theories of "optimal auctions" as well as newer theories of multi-unit auctions and package auctions, and shows by example how these theories are used. It explores the limitations of prominent older designs, such as the Vickrey auction design, and evaluates the practical responses to those limitations. Paul Milgrom is the Leonard and Shirley Ely Professor of Humanities and Sciences and Professor of Economics, Stanford University. He is the author of more than sixty articles and co-author of the influential textbook, Economics, Organization and Management (Prentice Hall, 1992). Professor Milgrom is a pioneer in the economic theory of auctions and co-designer of the simultaneous, multiple round auction that the FCC adopted for selling radio spectrum licenses. Visit the author's website for instructor resources.
Fintech with Artificial Intelligence, Big Data, and Blockchain (Blockchain Technologies)
by Paul Moon Sub Choi Seth H. HuangThis book introduces readers to recent advancements in financial technologies. The contents cover some of the state-of-the-art fields in financial technology, practice, and research associated with artificial intelligence, big data, and blockchain—all of which are transforming the nature of how products and services are designed and delivered, making less adaptable institutions fast become obsolete. The book provides the fundamental framework, research insights, and empirical evidence in the efficacy of these new technologies, employing practical and academic approaches to help professionals and academics reach innovative solutions and grow competitive strengths.
Demographic Engineering: Population Strategies In Ethnic Conflict (International Population Studies)
by Paul MorlandDemography has always mattered in conflict, but with conflict increasingly of an inter-ethnic nature, with sharper demographic differences between ethnic groups and with the spread of democracy, numbers count in conflict now more than ever. This book argues for and develops a framework for demographic engineering which provides a fresh perspective for looking at political events in countries where ethnicity matters. It asks how policies have been framed and implemented to change the demography of ethnic groups on the ground in their own interests. It also examines how successful these policies have been, focusing on the cases of Sri Lanka, Israel/Palestine, Northern Ireland and the USA. Often these policies are hidden but author Paul Morland teases them out with skill both from the statistics and documentary records and through conversations with participants. Offering a new way of thinking about demographic engineering (’hard demography’ versus ’soft demography’) and how ethnic groups in conflict deploy demographic strategies, this book will have a broad appeal to demographers, geographers and political scientists.
No One Left: Why the World Needs More Children
by Paul MorlandA population calamity is unfolding before our eyes. It started in parts of the developed world and is spreading to the four corners of the globe. There are just too few babies being born for humanity to replace itself.Leading demographer Paul Morland argues that the consequences of this promise to be calamitous. Labour shortages, pensions crises, ballooning debt: what is currently happening in South Korea - which faces population decline of more than 85% within just two generations - threatens to engulf us all, and sooner than we think. In the developed world we may be able temporarily to stave off the worst of its effects with immigration, but many countries, including those the immigrants come from, will get old before they get rich.No One Left charts this future, explains its causes and suggests what might be done. Unless we radically change our attitudes towards parenthood and embrace a new progressive pro-natalism, argues Morland, we face disaster.
The Human Tide: How Population Shaped the Modern World
by Paul MorlandA dazzling new history of the irrepressible demographic changes and mass migrations that have made and unmade nations, continents, and empiresThe rise and fall of the British Empire; the emergence of America as a superpower; the ebb and flow of global challenges from Nazi Germany, Imperial Japan, and Soviet Russia. These are the headlines of history, but they cannot be properly grasped without understanding the role that population has played.The Human Tide shows how periods of rapid population transition--a phenomenon that first emerged in the British Isles but gradually spread across the globe--shaped the course of world history. Demography--the study of population--is the key to unlocking an understanding of the world we live in and how we got here. Demographic changes explain why the Arab Spring came and went, how China rose so meteorically, and why Britain voted for Brexit and America for Donald Trump. Sweeping from Europe to the Americas, China, East Asia, the Middle East, and North Africa, The Human Tide is a panoramic view of the sheer power of numbers.
Introduction to Data Technologies (Chapman & Hall/CRC Computer Science & Data Analysis)
by Paul MurrellProviding key information on how to work with research data, Introduction to Data Technologies presents ideas and techniques for performing critical, behind-the-scenes tasks that take up so much time and effort yet typically receive little attention in formal education. With a focus on computational tools, the book shows readers how to improve thei
R Graphics, Third Edition (Chapman & Hall/CRC The R Series)
by Paul MurrellThis third edition of Paul Murrell’s classic book on using R for graphics represents a major update, with a complete overhaul in focus and scope. It focuses primarily on the two core graphics packages in R - graphics and grid - and has a new section on integrating graphics. This section includes three new chapters: importing external images in to R; integrating the graphics and grid systems; and advanced SVG graphics.The emphasis in this third edition is on having the ability to produce detailed and customised graphics in a wide variety of formats, on being able to share and reuse those graphics, and on being able to integrate graphics from multiple systems.This book is aimed at all levels of R users. For people who are new to R, this book provides an overview of the graphics facilities, which is useful for understanding what to expect from R's graphics functions and how to modify or add to the output they produce. For intermediate-level R users, this book provides all of the information necessary to perform sophisticated customizations of plots produced in R. For advanced R users, this book contains vital information for producing coherent, reusable, and extensible graphics functions.
Machine Learning for Networking: 6th International Conference, MLN 2023, Paris, France, November 28–30, 2023, Revised Selected Papers (Lecture Notes in Computer Science #14525)
by Selma Boumerdassi Éric Renault Paul MühlethalerThis book constitutes the refereed proceedings of the 6th International Conference on Machine Learning for Networking, MLN 2023, held in Paris, France, during November 28–30, 2023. The 18 full papers included in this book were carefully reviewed and selected from 34 submissions. The conference aims at providing a top forum for researchers and practitioners to present and discuss new trends in machine learning, deep learning, pattern recognition and optimization for network architectures and services.
Math for Programmers: 3D graphics, machine learning, and simulations with Python
by Paul OrlandIn Math for Programmers you&’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today&’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you&’ll master the key Python libraries used to turn them into real-world software applications.Summary To score a job in data science, machine learning, computer graphics, and cryptography, you need to bring strong math skills to the party. Math for Programmers teaches the math you need for these hot careers, concentrating on what you need to know as a developer. Filled with lots of helpful graphics and more than 200 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today&’s hottest programming fields. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Skip the mathematical jargon: This one-of-a-kind book uses Python to teach the math you need to build games, simulations, 3D graphics, and machine learning algorithms. Discover how algebra and calculus come alive when you see them in code! About the book In Math for Programmers you&’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today&’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you&’ll master the key Python libraries used to turn them into real-world software applications. What's inside Vector geometry for computer graphics Matrices and linear transformations Core concepts from calculus Simulation and optimization Image and audio processing Machine learning algorithms for regression and classification About the reader For programmers with basic skills in algebra. About the author Paul Orland is a programmer, software entrepreneur, and math enthusiast. He is co-founder of Tachyus, a start-up building predictive analytics software for the energy industry. You can find him online at www.paulor.land. Table of Contents 1 Learning math with code PART I - VECTORS AND GRAPHICS 2 Drawing with 2D vectors 3 Ascending to the 3D world 4 Transforming vectors and graphics 5 Computing transformations with matrices 6 Generalizing to higher dimensions 7 Solving systems of linear equations PART 2 - CALCULUS AND PHYSICAL SIMULATION 8 Understanding rates of change 9 Simulating moving objects 10 Working with symbolic expressions 11 Simulating force fields 12 Optimizing a physical system 13 Analyzing sound waves with a Fourier series PART 3 - MACHINE LEARNING APPLICATIONS 14 Fitting functions to data 15 Classifying data with logistic regression 16 Training neural networks
Economy in Society
by Paul OstermanIn Economy in Society, five prominent social scientists honor Michael J. Piore in original essays that explore key topics in Piore's work and make significant independent contributions in their own right. Piore is distinctive for his original research that explores the interaction of social, political, and economic considerations in the labor market and in the economic development of nations and regions. The essays in this volume reflect this rigorous interdisciplinary approach to important social and economic questions.M. Diane Burton's essay extends our understanding of internal labor markets by considering the influence of surrounding firms; Natasha Iskander builds on Piore's theory of immigration with a study of Mexican construction workers in two cities; Suzanne Berger highlights insights from Piore's work on technology and industrial development; Andrew Schrank takes up the theme of regulatory discretion; and Charles Sabel discusses theories of public bureaucracy.