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Frontiers of Test Validity Theory: Measurement, Causation, and Meaning (Multivariate Applications Series)
by Keith A. Markus Denny BorsboomNow in its second edition, this important book examines test validity in the behavioral, social, and educational sciences by exploring three fundamental problems: measurement, causation, and meaning. Psychometric and philosophical perspectives and unresolved issues receive attention, as the authors explore how measurement is conceived from both the classical and modern perspectives.Split into three accessible sections, the first contrasts theories of measurement as applied to the validity of behavioral science measures, and the second considers causal theories of measurement as well as alternative theories of causation. The final section explores the meaning and interpretation of test scores as they apply to test validity, offering a conceptual overview of the field and its current state. Each carefully revised chapter begins with an overview of key theories and literature, concludes with a list of suggested readings, and features boxes with real-life situations that connect theory to practice. Examples of specific issues include: How tests can assess an attribute without measuring it. The role of values in test validity. Interpreting responses to the same question in different languages. Researchers, practitioners, and policy makers interested in test validity or developing tests will appreciate the book's cutting-edge review of test validity. Focusing on both the underlying concepts, as well as practical challenges of test construction and use, it also serves as a supplement in graduate or advanced undergraduate courses on test validity, psychometrics, testing, or measurement taught in psychology, education, sociology, social work, political science, business, criminal justice, and other fields. The book does not assume a background in measurement.
Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (Annals of Mathematics Studies #179)
by Joram Lindenstrauss David Preiss Jaroslav TišerThis book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz functions. The topic is relevant to classical analysis and descriptive set theory on Banach spaces. The book opens several new research directions in this area of geometric nonlinear functional analysis. The new methods developed here include a game approach to perturbational variational principles that is of independent interest. Detailed explanation of the underlying ideas and motivation behind the proofs of the new results on Fréchet differentiability of vector-valued functions should make these arguments accessible to a wider audience. The most important special case of the differentiability results, that Lipschitz mappings from a Hilbert space into the plane have points of Fréchet differentiability, is given its own chapter with a proof that is independent of much of the work done to prove more general results. The book raises several open questions concerning its two main topics.
Fueling Innovation and Discovery
by National Research Council Division on Engineering and Physical Sciences Board on Mathematical Sciences And Their Applications Committee on the Mathematical Sciences in 2025The mathematical sciences are part of everyday life. Modern communication, transportation, science, engineering, technology, medicine, manufacturing, security, and finance all depend on the mathematical sciences. Fueling Innovation and Discovery describes recent advances in the mathematical sciences and advances enabled by mathematical sciences research. It is geared toward general readers who would like to know more about ongoing advances in the mathematical sciences and how these advances are changing our understanding of the world, creating new technologies, and transforming industries. Although the mathematical sciences are pervasive, they are often invoked without an explicit awareness of their presence. Prepared as part of the study on the Mathematical Sciences in 2025, a broad assessment of the current state of the mathematical sciences in the United States, Fueling Innovation and Discovery presents mathematical sciences advances in an engaging way. The report describes the contributions that mathematical sciences research has made to advance our understanding of the universe and the human genome. It also explores how the mathematical sciences are contributing to healthcare and national security, and the importance of mathematical knowledge and training to a range of industries, such as information technology and entertainment. Fueling Innovation and Discovery will be of use to policy makers, researchers, business leaders, students, and others interested in learning more about the deep connections between the mathematical sciences and every other aspect of the modern world. To function well in a technologically advanced society, every educated person should be familiar with multiple aspects of the mathematical sciences.
Full House: Reassessing the Earth’s Population Carrying Capacity (Routledge Library Editions: Demography #2)
by Lester R. Brown Hal KaneOriginally published in 1995, after decades of steady growth, this book was written at a time when the world’s food supply was no longer keeping up with population increases. This book examines the causes of the imbalance in the food/population equation and suggests ways in which Malthusian checks can be countered. It calls for an international strategy to restore global security, and a budget to implement it, with a massive redirection of the world’s financial resources. On one side of the argument the authors advocate increased expenditure on family planning services, education, and women’s rights. On the other, they stress the environmental importance of reforestation and soil conservation schemes to halt the deterioration of the agricultural resource base.
Full Seismic Waveform Modelling and Inversion
by Andreas FichtnerRecent progress in numerical methods and computer science allows us today to simulate the propagation of seismic waves through realistically heterogeneous Earth models with unprecedented accuracy. Full waveform tomography is a tomographic technique that takes advantage of numerical solutions of the elastic wave equation. The accuracy of the numerical solutions and the exploitation of complete waveform information result in tomographic images that are both more realistic and better resolved. This book develops and describes state of the art methodologies covering all aspects of full waveform tomography including methods for the numerical solution of the elastic wave equation, the adjoint method, the design of objective functionals and optimisation schemes. It provides a variety of case studies on all scales from local to global based on a large number of examples involving real data. It is a comprehensive reference on full waveform tomography for advanced students, researchers and professionals.
Full Stack Development with JHipster: Build full stack applications and microservices with Spring Boot and modern JavaScript frameworks, 2nd Edition
by Deepu K Sasidharan Sendil Kumar NWritten by the core development team of JHipster and fully updated for JHipster 6, Java 11, and Spring Boot 2.1, this book will show you how to build modern web applications with real-world examples and best practices Key Features Build full stack applications with modern JavaScript frameworks such as Angular, React, and Vue.js Explore the JHipster microservices stack, which includes Spring Cloud, Netflix OSS, and the Elastic Stack Learn advanced local and cloud deployment strategies using Docker and Kubernetes Book Description JHipster is an open source development platform that allows you to easily create web apps and microservices from scratch without spending time on wiring and integrating different technologies. Updated to include JHipster 6, Java 11, Spring Boot 2.1, Vue.js, and Istio, this second edition of Full Stack Development with JHipster will help you build full stack applications and microservices seamlessly. You'll start by understanding JHipster and its associated tools, along with the essentials of full stack development, before building a monolithic web app. You'll then learn the JHipster Domain Language (JDL) with entity modeling using JDL-Studio. With this book, you'll create production-ready web apps using Spring Boot, Spring Framework, Angular, and Bootstrap, and run tests and set up continuous integration pipelines with Jenkins. As you advance, you'll learn how to convert your monoliths to microservices and how to package your application for production with various deployment options, including Heroku and Google Cloud. You'll also learn about Docker and Kubernetes, along with an introduction to the Istio service mesh. Finally, you'll build your client-side with React and Vue.js and discover JHipster's best practices. By the end of the book, you'll be able to leverage the best tools available to build modern web apps. What you will learn Create full stack apps from scratch using the latest features of JHipster 6 and Spring Boot 2.1 Build business logic by creating and developing entity models using JDL Understand how to convert a monolithic architecture into a full-fledged microservices architecture Build and package your apps for production using Docker Deploy your application to Google Cloud with Kubernetes Create continuous integration/continuous delivery pipelines with Jenkins Create applications using Angular, React, and Vue.js client-side frameworks Who this book is for This book is for full stack developers who want to build web applications and microservices speedily without writing a lot of boilerplate code. If you're a backend developer looking to learn full stack development with JavaScript frameworks and libraries such as Angular, React, and Vue.js, you'll find this book useful. Experience in building Java web applications is required. Some exposure to the Spring Framework would be beneficial but not necessary to get the most out of this book.
Full-Duplex Communications for Future Wireless Networks
by Himal A. Suraweera Hirley Alves Taneli RiihonenThis book focuses on the multidisciplinary state-of-the-art of full-duplex wireless communications and applications. Moreover, this book contributes with an overview of the fundamentals of full-duplex communications, and introduces the most recent advances in self-interference cancellation from antenna design to digital domain. Moreover, the reader will discover analytical and empirical models to deal with residual self-interference and to assess its effects in various scenarios and applications. Therefore, this is a highly informative and carefully presented book by the leading scientists in the area, providing a comprehensive overview of full-duplex technology from the perspective of various researchers, and research groups worldwide. This book is designed for researchers and professionals working in wireless communications and engineers willing to understand the challenges and solutions full-duplex communication so to implement a full-duplex system.
Full-Stack Web Development with Go: Build your web applications quickly using the Go programming language and Vue.js
by Nanik Tolaram Nick GlynnA Go programmer's hands-on guide to go from building basic server-side templates to full single page apps using Tailwind CSS, Vue.js, and moreKey FeaturesLearn how to structure your Go projects, be smarter with SQLc, create middleware and secure your appsExplore different frontend frameworks and dive into Vue and Tailwind CSSUse Terraform and Docker and deploy in minutesBook DescriptionGo is a modern programming language with capabilities to enable high-performance app development. With its growing web framework ecosystem, Go is a preferred choice for building complete web apps. This practical guide will enable you to take your Go skills to the next level building full stack apps.This book walks you through creating and developing a complete modern web service from auth, middleware, server-side rendering, databases, and modern frontend frameworks and Go-powered APIs. You'll start by structuring the app and important aspects such as networking, before integrating all the different parts together to build a complete web product. Next, you'll learn how to build and ship a complete product by starting with the fundamental building blocks of creating a Go backend. You'll apply best practices for cookies, APIs, and security, and level up your skills with the fastest growing frontend framework, Vue. Once your full stack application is ready, you'll understand how to push the app to production and be prepared to serve customers and share it with the world.By the end of this book, you'll have learned how to build and ship secure, scalable, and complete products and how to combine Golang with existing products using best practices.What you will learnDiscover how to quickly scaffold, structure, and build your Golang applicationsDesign and build databases using PostgreSQL and SQLc to generate type-safe SQL codeMonitor applications with centralized logging and metrics collection for high performanceExplore frontend frameworks and libraries such as Vuetify, Buefy, and Tailwind CSS to build a responsive frontend for your appCommunicate securely between the frontend and backend with cookies and session handling with middlewareUnderstand how to package applications using Docker and set up CI pipelines in GitHubWho this book is forThis book is for Go programmers who want to combine the power of the Go language with modern web development technologies to build complete web apps from frontend to backend. The book assumes beginner-level knowledge of HTML, CSS, and the web.
Fullerenes: Nanochemistry, Nanomagnetism, Nanomedicine, Nanophotonics
by Elena ShekaAt the interface between chemistry, biology, and physics, fullerenes were one of the first objects to be dissected, scanned, and studied by the modern multi-specialty biotech community and are currently thriving in both research and practical application. Other members of the sp2 nanocarbon family, such as nanotubes and graphene, are currently bein
Fully Nonlinear PDEs in Real and Complex Geometry and Optics
by Luca Capogna Pengfei Guan Cristian E. Gutiérrez Annamaria MontanariThe purpose of this CIME summer school was to present current areas of research arising both in the theoretical and applied setting that involve fully nonlinear partial different equations. The equations presented in the school stem from the fields of Conformal Mapping Theory, Differential Geometry, Optics, and Geometric Theory of Several Complex Variables. The school consisted of four courses: Extremal problems for quasiconformal mappings in space by Luca Capogna, Fully nonlinear equations in geometry by Pengfei Guan, Monge-Ampere type equations and geometric optics by Cristian E. Gutiérrez, and On the Levi Monge Ampere equation by Annamaria Montanari.
Fun with Mathematics
by Sumita BoseThis book contains puzzles, games, magic, amazing facts etc. all based on mathematical concepts but presented in a play way manner. I have also presented tricks and shortcuts for easy calculations. I believe in the equation, Mathematics + Fun = Outstanding Performance. When learning is enjoyable children become interested in the learning process and are motivated to learn more. This book develops that interest and motivation. It is suitable for those children who love mathematics as well as for those who are scared of this subject.
Function Spaces and Inequalities
by Pankaj Jain Hans-Jürgen SchmeisserThis book features original research and survey articles on the topics of function spaces and inequalities. It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted) inequalities, pointwise multipliers and interpolation. Moreover, it considers Sobolev-Besov and Triebel-Lizorkin type smoothness spaces. The book includes papers by leading international researchers, presented at the International Conference on Function Spaces and Inequalities, held at the South Asian University, New Delhi, India, on 11-15 December 2015, which focused on recent developments in the theory of spaces with variable exponents. It also offers further investigations concerning Sobolev-type embeddings, discrete inequalities and harmonic analysis. Each chapter is dedicated to a specific topic and written by leading experts, providing an overview of the subject and stimulating future research.
Function Spaces and Operators between them (RSME Springer Series #11)
by José Bonet David Jornet Pablo Sevilla-PerisThe aim of this work is to present, in a unified and reasonably self-contained way, certain aspects of functional analysis which are needed to treat function spaces whose topology is not derived from a single norm, their topological duals and operators between those spaces. We treat spaces of continuous, analytic and smooth functions as well as sequence spaces. Operators of differentiation, integration, composition, multiplication and partial differential operators between those spaces are studied. A brief introduction to Laurent Schwartz’s theory of distributions and to Lars Hörmander’s approach to linear partial differential operators is presented.The novelty of our approach lies mainly on two facts. First of all, we show all these topics together in an accessible way, stressing the connection between them. Second, we keep it always at a level that is accessible to beginners and young researchers. Moreover, parts of the book might be of interest for researchers in functional analysis and operator theory. Our aim is not to build and describe a whole, complete theory, but to serve as an introduction to some aspects that we believe are interesting. We wish to guide any reader that wishes to enter in some of these topics in their first steps. Our hope is that they learn interesting aspects of functional analysis and become interested to broaden their knowledge about function and sequence spaces and operators between them.The text is addressed to students at a master level, or even undergraduate at the last semesters, since only knowledge on real and complex analysis is assumed. We have intended to be as self-contained as possible, and wherever an external citation is needed, we try to be as precise as we can. Our aim is to be an introduction to topics in, or connected with, different aspects of functional analysis. Many of them are in some sense classical, but we tried to show a unified direct approach; some others are new. This is why parts of these lectures might be of some interest even for researchers in related areas of functional analysis or operator theory. There is a full chapter about transitive and mean ergodic operators on locally convex spaces. This material is new in book form. It is a novel approach and can be of interest for researchers in the area.
Function Spaces with Uniform, Fine and Graph Topologies (Springerbriefs In Mathematics)
by Robert A. McCoy Subiman Kundu Varun JindalThis book presents a comprehensive account of the theory of spaces of continuous functions under uniform, fine and graph topologies. Besides giving full details of known results, an attempt is made to give generalizations wherever possible, enriching the existing literature. The goal of this monograph is to provide an extensive study of the uniform, fine and graph topologies on the space C(X,Y) of all continuous functions from a Tychonoff space X to a metric space (Y,d); and the uniform and fine topologies on the space H(X) of all self-homeomorphisms on a metric space (X,d). The subject matter of this monograph is significant from the theoretical viewpoint, but also has applications in areas such as analysis, approximation theory and differential topology. Written in an accessible style, this book will be of interest to researchers as well as graduate students in this vibrant research area.
Function Spaces, Theory and Applications (Fields Institute Communications #87)
by Javad Mashreghi Ilia Binder Damir KinzebulatovThe focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They also have several essential applications in other fields of mathematics and engineering, e.g., robust control engineering, signal and image processing, and theory of communication. The most important Hilbert space of analytic functions is the Hardy class H2. However, its close cousins, e.g. the Bergman space A2, the Dirichlet space D, the model subspaces Kt, and the de Branges-Rovnyak spaces H(b), have also been the center of attention in the past two decades. Studying the Hilbert spaces of analytic functions and the operators acting on them, as well as their applications in other parts of mathematics or engineering were the main subjects of this program. During the program, the world leading experts on function spaces gathered and discussed the new achievements and future venues of research on analytic function spaces, their operators, and their applications in other domains. With more than 250 hours of lectures by prominent mathematicians, a wide variety of topics were covered. More explicitly, there were mini-courses and workshops on Hardy Spaces, Dirichlet Spaces, Bergman Spaces, Model Spaces, Interpolation and Sampling, Riesz Bases, Frames and Signal Processing, Bounded Mean Oscillation, de Branges-Rovnyak Spaces, Operators on Function Spaces, Truncated Toeplitz Operators, Blaschke Products and Inner Functions, Discrete and Continuous Semigroups of Composition Operators, The Corona Problem, Non-commutative Function Theory, Drury-Arveson Space, and Convergence of Scattering Data and Non-linear Fourier Transform. At the end of each week, there was a high profile colloquium talk on the current topic. The program also contained two semester-long advanced courses on Schramm Loewner Evolution and Lattice Models and Reproducing Kernel Hilbert Space of Analytic Functions. The current volume features a more detailed version of some of the talks presented during the program.
Function Spaces: 7th Conference On Function Spaces, May 20-24, 2014, Southern Illinois University, Edwardsville, Illinois (Lecture Notes In Pure And Applied Mathematics #328)
by Krzysztof JarovThis book is based on the conference on Function Spaces held at Southern Illinois University at Edwardsville, in April, 1990. It is designed to cover a wide range of topics, including spaces of analytic functions, isometries of function spaces, geometry of Banach spaces, and Banach algebras.
Function Spaces: The Fifth Conference (Lecture Notes in Pure and Applied Mathematics)
by Henryk Hudzik Leszek SkrzypczakThis volume compiles research results from the fifth Function Spaces International Conference, held in Poznan, Poland. It presents key advances, modern applications and analyses of function spaces and contains two special sections recognizing the contributions and influence of Wladyslaw Orlicz and Genadil Lozanowskii.
Function Theory on Planar Domains: A Second Course in Complex Analysis
by Stephen D. FisherA high-level treatment of complex analysis, this text focuses on function theory on a finitely connected planar domain. Clear and complete, it emphasizes domains bounded by a finite number of disjoint analytic simple closed curves.The first chapter and parts of Chapters 2 and 3 offer background material, all of it classical and important in its own right. The remainder of the text presents results in complex analysis from the far, middle, and recent past, all selected for their interest and merit as substantive mathematics. Suitable for upper-level undergraduates and graduate students, this text is accessible to anyone with a background in complex and functional analysis. Author Stephen D. Fisher, a professor of mathematics at Northwestern University, elaborates upon and extends results with a set of exercises at the end of each chapter.
Functional Analysis
by Béla Sz. Nagy Frigyes RieszClassic exposition of modern theories of differentiation and integration and principal problems and methods of handling integral equations and linear functionals and transformations. 1955 edition.
Functional Analysis
by Lawrence Narici George BachmanExcellent treatment of the subject geared toward students with background in linear algebra, advanced calculus, physics and engineering. Text covers introduction to inner-product spaces, normed and metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach theorem and its consequences, spectral notions, square roots, a spectral decomposition theorem, and many other related subjects. Chapters conclude with exercises intended to test and reinforce reader's understanding of text material. A glossary of definitions, detailed proofs of theorems, bibliography, and index of symbols round out this comprehensive text. 1966 edition.
Functional Analysis
by Joseph MuscatThis textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in applications, but also to researchers in related fields. Functional Analysis adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, based upon the classical sequence and function spaces and their operators. It assumes only a minimum of knowledge in elementary linear algebra and real analysis; the latter is redone in the light of metric spaces. It contains more than a thousand worked examples and exercises, which make up the main body of the book.
Functional Analysis
by Peter D. LaxIncludes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more.* Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables.* Includes an appendix on the Riesz representation theorem.
Functional Analysis Tools for Practical Use in Sciences and Engineering
by Carlos A. de MouraThis textbook describes selected topics in functional analysis as powerful tools of immediate use in many fields within applied mathematics, physics and engineering. It follows a very reader-friendly structure, with the presentation and the level of exposition especially tailored to those who need functional analysis but don’t have a strong background in this branch of mathematics. For every tool, this work emphasizes the motivation, the justification for the choices made, and the right way to employ the techniques. Proofs appear only when necessary for the safe use of the results. The book gently starts with a road map to guide reading. A subsequent chapter recalls definitions and notation for abstract spaces and some function spaces, while Chapter 3 enters dual spaces. Tools from Chapters 2 and 3 find use in Chapter 4, which introduces distributions. The Linear Functional Analysis basic triplet makes up Chapter 5, followed by Chapter 6, which introduces the concept of compactness. Chapter 7 brings a generalization of the concept of derivative for functions defined in normed spaces, while Chapter 8 discusses basic results about Hilbert spaces that are paramount to numerical approximations. The last chapter brings remarks to recent bibliographical items. Elementary examples included throughout the chapters foster understanding and self-study. By making key, complex topics more accessible, this book serves as a valuable resource for researchers, students, and practitioners alike that need to rely on solid functional analysis but don’t need to delve deep into the underlying theory.
Functional Analysis and Applications (Chapman And Hall/crc Research Notes In Mathematics Ser. #377)
by Abul Hasan SiddiqiThis self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced. The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing.
Functional Analysis and Applications (Industrial and Applied Mathematics #377)
by Abul Hasan SiddiqiThis self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced. The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing.