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First-Order Partial Differential Equations, Vol. 1 (Dover Books on Mathematics #1)
by Rutherford Aris Hyun-Ku Rhee Neal R. AmundsonThis first volume of a highly regarded two-volume text is fully usable on its own. After going over some of the preliminaries, the authors discuss mathematical models that yield first-order partial differential equations; motivations, classifications, and some methods of solution; linear and semilinear equations; chromatographic equations with finite rate expressions; homogeneous and nonhomogeneous quasilinear equations; formation and propagation of shocks; conservation equations, weak solutions, and shock layers; nonlinear equations; and variational problems. Exercises appear at the end of most sections. This volume is geared to advanced undergraduates or first-year grad students with a sound understanding of calculus and elementary ordinary differential equations. 1986 edition. 189 black-and-white illustrations. Author and subject indices.
First-Order Partial Differential Equations, Vol. 1 (Dover Books on Mathematics #2)
by Rutherford Aris Hyun-Ku Rhee Neal R. AmundsonThis first volume of a highly regarded two-volume text is fully usable on its own. After going over some of the preliminaries, the authors discuss mathematical models that yield first-order partial differential equations; motivations, classifications, and some methods of solution; linear and semilinear equations; chromatographic equations with finite rate expressions; homogeneous and nonhomogeneous quasilinear equations; formation and propagation of shocks; conservation equations, weak solutions, and shock layers; nonlinear equations; and variational problems. Exercises appear at the end of most sections. This volume is geared to advanced undergraduates or first-year grad students with a sound understanding of calculus and elementary ordinary differential equations. 1986 edition. 189 black-and-white illustrations. Author and subject indices.
First-Principles and Machine Learning Study of Anharmonic Vibration and Dielectric Properties of Materials (Springer Theses)
by Tomohito AmanoThe book presents the author's development of two first-principles methods to calculate dielectric properties of materials based on anharmonic phonon and machine learning, and demonstrates an in-depth analysis of anharmonic crystals and molecular liquids. The anharmonic phonon method, combined with Born effective charges, is useful to study dielectric properties of crystals. The recently developed self-consistent phonon theory (SCPH) enables accurate simulations in strongly anharmonic materials. The author reveals that the combination of SCPH with the four-phonon scattering term accurately reproduces experimental spectra, and discusses how anharmonic phonon self-energies affect the dielectric properties. The second method is molecular dynamics with Wannier centers—the mass centers of Wannier functions. The author constructs a machine learning model that learns Wannier centers for each chemical bond from atomic coordinates to accurately predict the dipole moments. The developed method is, in principle, applicable to molecules of arbitrary size. Its effectiveness is demonstrated and the dielectric properties of several alcohols, including dipole moments, dielectric constants, and absorption spectra, are analyzed. This book benefits students and researchers interested in anharmonic phonons, machine learning, and dielectric properties.
First-order and Stochastic Optimization Methods for Machine Learning (Springer Series in the Data Sciences)
by Guanghui LanThis book covers not only foundational materials but also the most recent progresses made during the past few years on the area of machine learning algorithms. In spite of the intensive research and development in this area, there does not exist a systematic treatment to introduce the fundamental concepts and recent progresses on machine learning algorithms, especially on those based on stochastic optimization methods, randomized algorithms, nonconvex optimization, distributed and online learning, and projection free methods. This book will benefit the broad audience in the area of machine learning, artificial intelligence and mathematical programming community by presenting these recent developments in a tutorial style, starting from the basic building blocks to the most carefully designed and complicated algorithms for machine learning.
Fiscal Tiers (Routledge Revivals): The Economics of Multi-Level Government
by David KingFirst published in 1984. This book brings together and develops the economic theory relating to the design and operation of systems of non-central government — positing major developments in several areas. It considers what functions systems most suitably perform in non-central governments, and their appropriate size and structure. How these authorities might finance themselves — by taxes, charges or loans — is analysed in detail. It also examines the use of grants by higher tiers of government and how such programmes should be designed. Concentrating on contemporary economic concerns, it relates the theory to practice in countries such as Australia, Canada, West Germany, the UK and USA.
Fish Eyes: A Book You Can Count On
by Lois EhlertBrightly colored fish introduce young children to counting and basic addition in this fun and simple concept book.
Fisher, Neyman, and the Creation of Classical Statistics
by Erich L. LehmannClassical statistical theory--hypothesis testing, estimation, and the design of experiments and sample surveys--is mainly the creation of two men: Ronald A. Fisher (1890-1962) and Jerzy Neyman (1894-1981). Their contributions sometimes complemented each other, sometimes occurred in parallel, and, particularly at later stages, often were in strong opposition. The two men would not be pleased to see their names linked in this way, since throughout most of their working lives they detested each other. Nevertheless, they worked on the same problems, and through their combined efforts created a new discipline. This new book by E.L. Lehmann, himself a student of Neyman's, explores the relationship between Neyman and Fisher, as well as their interactions with other influential statisticians, and the statistical history they helped create together. Lehmann uses direct correspondence and original papers to recreate an historical account of the creation of the Neyman-Pearson Theory as well as Fisher's dissent, and other important statistical theories.
Fishing for Numbers: A Maine Number Book
by Cynthia Furlong ReynoldsUsing numbers and counting, information about Maine including sweet grass baskets, clipper ships, puffins, and state symbols are introduced with poetry and expository text.
Fishing, Foraging and Farming in the Bolivian Amazon
by Lisa RinghoferEmpirical in character, this book analyses the society-nature interaction of the Tsimane', a rural indigenous community in the Bolivian Amazon. Following a common methodological framework, the material and energy flow (MEFA) approach, it gives a detailed account of the biophysical exchange relations the community entertains with its natural environment: the socio-economic use of energy, materials, land and time. Equally so, the book provides a deeper insight into the local base of sociometabolic transition processes and their inherent dynamics of change. The local community described in this publication stands for the many thousands of rural systems in developing countries that, in light of an ever more globalising world, are currently steering a similar - but maybe differently-paced - development course. This book presents insightful methodological and conceptual advances in the field of sustainability science and provides a vital reader for students and researchers of human ecology, ecological anthropology, and environmental sociology. It equally contributes to improving professional development work methods.
Fitting Statistical Distributions: The Generalized Lambda Distribution and Generalized Bootstrap Methods
by Zaven A. Karian Edward J. DudewiczAlthough the study of statistical modelling has made great strides in recent years, the number and variety of distributions to choose from continue to create problems. . Focusing on techniques used successfully across many fields, Fitting Statistical Distributions presents all of the relevant results related to the Generalized Lambda Distribution, the Generalized Bootstrap, and Monte Carlo simulation. It provides the tables, algorithms, and computer programs needed for fitting continuous probability distributions to data in a wide variety of circumstances-covering bivariate as well as univariate distributions, and including situations where moments do not exist.
Five Equations That Changed the World: The Power and Poetry of Mathematics
by Michael GuillenA Publishers Weekly best book of 1995! Dr. Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations. As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics. Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself. Praised by Publishers Weekly as "a wholly accessible, beautifully written exploration of the potent mathematical imagination," and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery.
Five Little Ducks
by Raffi Ariane Dewey Jose AruegoFirst published in 1989, this charming Raffi Songs to Read/reg/ has fresh appeal as a board book that the youngest child can hold. With sweet illustrations by veteran children's book artists Jose Aruego and Ariane Dewey, this lovely counting song will invoke squeals of delight from babies and toddlers. They'll love counting down as first five little ducks, then four, then three, then two, then one go out to play, not to return. Sadly, Mother Duck waits alone through all four seasons until spring returns and with it her five ducks, all grown up-along with their new families of baby ducks.
Five Little Monkeys Jumping on the Bed (Fountas & Pinnell LLI Blue: Level E)
by Eileen ChristelowA counting book in which one by one the little monkeys jump on the bed only to fall off and bump their heads.
Five Little Monkeys Wash the Car
by Eileen ChristelowThe five little monkeys and Mama are eager to get a new car. The five little monkeys clean and paint their old car until it sparkles like new. But who will buy it? Perhaps those clever monkeys can convince their cranky crocodile neighbors that what they really need is ... yes, a car!
Five-Plus Tools: The Past, Present, and Future of Baseball through the Eyes of a Scout
by Dave Perkin"Five-Plus Tools" is a scouting term that refers to a rare and elite type of amateur baseball prospect. A player with five-plus tools grades out well above average in all five skill areas, known as tools: hitting, power, running, throwing, and fielding.While most baseball fans critique players who are already on the professional level, a scout needs to find raw talent and figure out if they're the "future." In Five-Plus Tools, Dave Perkin, who was a professional scout and is currently the Major League Baseball Draft correspondent for Sports Illustrated, breaks down not only what all scouts are looking for, but also how amateur players are evaluated and recognized.Broken up into three sections, Perkin teaches the inner details of amateur scouting, using field reports on athletes he's scouted over the years. Once the understanding of what a scout looks for is understood, Perkin delves into the current major leaguers and gives scouting insight on their game, skills, and influence on the sport. Finally, the hot-button issues in baseball are covered, including such points as Sabermetrics, baseball analysis, and an explanation of why few of yesterday's heroes could succeed in modern baseball.
Fixed Borders, Fluid Boundaries: Identity, Resources and Mobility in Northeast India
by Reshmi Banerjee Chandan Kumar SharmaThis book provides an understanding of the challenges in Northeast India in terms of the nature of flows and ruptures in the daily lives of people. It brings together multiple and interconnected issues of identity, development, environment, migration, land alienation and policy impacts to the forefront. Northeast India’s history is affected both by internal dynamic processes, as are its linkages with adjoining countries, marked by a fluid movement of people and goods across porous borders. The book explores how the region has emerged as a resource frontier for the global markets, yet its resource mobilization has led to disparity within the region. The volume discusses key themes concerning the region such as the processes of development and people’s resistance; underdevelopment in the peripheral areas; resource flow and conflict; community response and local agency; state and customary practices; politics of land and citizenship; development-induced dispossession; human mobility, immigration and conflict; the notion of "outsiders"; inter-state border conflict; and spatial connections. Rich in empirical data, the volume will be relevant and useful for students and researchers of development studies, Northeast India studies, sociology, political science, border and migration studies, public policy, peace and conflict studies, as well as practitioners and policymakers.
Fixed Income Analytics: Bonds in High and Low Interest Rate Environments
by Wolfgang MartyThis book analyses and discusses bonds and bond portfolios. Different yields and duration measures are investigated for negative and positive interest rates. The transition from a single bond to a bond portfolio leads to the equation for the internal rate of return. Its solution is analysed and compared to different approaches proposed in the financial industry. The impact of different yield scenarios on a model bond portfolio is illustrated. Market and credit risk are introduced as independent sources of risk. Different concepts for assessing credit markets are described. Lastly, an overview of the benchmark industry is offered and an introduction to convertible bonds is given. This second edition also includes a chapter on multi-currency portfolios as well as a discussion on currency hedging. This book is a valuable resource not only for students and researchers but also for professionals in the financial industry.
Fixed Point Results in W-Distance Spaces (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
by Vladimir RakočevićFixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research. The book can be used as a teaching resource for advanced courses on fixed-point theory, which is a modern and important field in mathematics. It would be especially valuable for graduate and postgraduate courses and seminars. Features Written in a concise and fluent style, covers a broad range of topics and includes related topics from research. Suitable for researchers and postgraduates. Contains brand new results not published elsewhere.
Fixed Point Theorems and Applications (UNITEXT #116)
by Vittorino PataThis book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results ranging from ordinary differential equations in Banach spaces, to partial differential equations, operator theory, functional analysis, measure theory, and game theory. A final section containing 50 problems, many of which include helpful hints, rounds out the coverage. Intended for Master’s and PhD students in Mathematics or, more generally, mathematically oriented subjects, the book is designed to be largely self-contained, although some mathematical background is needed: readers should be familiar with measure theory, Banach and Hilbert spaces, locally convex topological vector spaces and, in general, with linear functional analysis.
Fixed Point Theorems with Applications
by Svetlin Georgiev Khaled Zennir Karima Mebarki Smail DjebaliAs a very important part of nonlinear analysis, fixed point theory plays a key role in solvability of many complex systems from mathematics applied to chemical reactors, neutron transport, population biology, infectious diseases, economics, applied mechanics, and more.The main aim of Fixed Point Theorems with Applications is to explain new techniques for investigation of different classes of ordinary and partial differential equations. The development of the fixed point theory parallels the advances in topology and functional analysis. Recent research has investigated not only the existence but also the positivity of solutions for various types of nonlinear equations. This book will be of interest to those working in functional analysis and its applications.Combined with other nonlinear methods such as variational methods and the approximation methods, the fixed point theory is powerful in dealing with many nonlinear problems from the real world.The book can be used as a textbook to develop an elective course on nonlinear functional analysis with applications in undergraduate and graduate programs in mathematics or engineering programs.
Fixed Point Theory in Distance Spaces
by William Kirk Naseer ShahzadThis is a monograph on fixed point theory, covering the purely metric aspects of the theory-particularly results that do not depend on any algebraic structure of the underlying space. Traditionally, a large body of metric fixed point theory has been couched in a functional analytic framework. This aspect of the theory has been written about extensively. There are four classical fixed point theorems against which metric extensions are usually checked. These are, respectively, the Banach contraction mapping principal, Nadler's well known set-valued extension of that theorem, the extension of Banach's theorem to nonexpansive mappings, and Caristi's theorem. These comparisons form a significant component of this book. This book is divided into three parts. Part I contains some aspects of the purely metric theory, especially Caristi's theorem and a few of its many extensions. There is also a discussion of nonexpansive mappings, viewed in the context of logical foundations. Part I also contains certain results in hyperconvex metric spaces and ultrametric spaces. Part II treats fixed point theory in classes of spaces which, in addition to having a metric structure, also have geometric structure. These specifically include the geodesic spaces, length spaces and CAT(0) spaces. Part III focuses on distance spaces that are not necessarily metric. These include certain distance spaces which lie strictly between the class of semimetric spaces and the class of metric spaces, in that they satisfy relaxed versions of the triangle inequality, as well as other spaces whose distance properties do not fully satisfy the metric axioms.
Fixed Point Theory in Metric Spaces: Recent Advances and Applications
by Mohamed Jleli Bessem Samet Praveen AgarwalThis book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations. Each chapter is accompanied by basic definitions, mathematical preliminaries and proof of the main results. Divided into ten chapters, it discusses topics such as the Banach contraction principle and its converse; Ran-Reurings fixed point theorem with applications; the existence of fixed points for the class of α-ψ contractive mappings with applications to quadratic integral equations; recent results on fixed point theory for cyclic mappings with applications to the study of functional equations; the generalization of the Banach fixed point theorem on Branciari metric spaces; the existence of fixed points for a certain class of mappings satisfying an implicit contraction; fixed point results for a class of mappings satisfying a certain contraction involving extended simulation functions; the solvability of a coupled fixed point problem under a finite number of equality constraints; the concept of generalized metric spaces, for which the authors extend some well-known fixed point results; and a new fixed point theorem that helps in establishing a Kelisky–Rivlin type result for q-Bernstein polynomials and modified q-Bernstein polynomials.The book is a valuable resource for a wide audience, including graduate students and researchers.
Fixed Point Theory in Metric Type Spaces
by Ravi P. Agarwal Donal O'Regan Erdal Karapınar Antonio Francisco Roldán-López-de-HierroWritten by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology. The text is structured so that it leads the reader from preliminaries and historical notes on metric spaces (in particular G-metric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered G-metric spaces, fixed point theory for expansive mappings in metric type spaces, generalizations, present results and techniques in a very general abstract setting and framework. Fixed point theory is one of the major research areas in nonlinear analysis. This is partly due to the fact that in many real world problems fixed point theory is the basic mathematical tool used to establish the existence of solutions to problems which arise naturally in applications. As a result, fixed point theory is an important area of study in pure and applied mathematics and it is a flourishing area of research.
Fixed Point Theory in Modular Function Spaces
by Mohamed A. Khamsi Wojciech M. KozlowskiThis monograph provides a concise introduction to the main results and methods of the fixed point theory in modular function spaces. Modular function spaces are natural generalizations of both function and sequence variants of many important spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, Calderon-Lozanovskii spaces, and others. In most cases, particularly in applications to integral operators, approximation and fixed point results, modular type conditions are much more natural and can be more easily verified than their metric or norm counterparts. There are also important results that can be proved only using the apparatus of modular function spaces. The material is presented in a systematic and rigorous manner that allows readers to grasp the key ideas and to gain a working knowledge of the theory. Despite the fact that the work is largely self-contained, extensive bibliographic references are included, and open problems and further development directions are suggested when applicable. The monograph is targeted mainly at the mathematical research community but it is also accessible to graduate students interested in functional analysis and its applications. It could also serve as a text for an advanced course in fixed point theory of mappings acting in modular function spaces.
Fixed Point Theory, Variational Analysis, and Optimization
by Saleh A. R. Al-Mezel Falleh R. M. Al-Solamy Qamrul H. AnsariFixed Point Theory, Variational Analysis, and Optimization not only covers three vital branches of nonlinear analysis-fixed point theory, variational inequalities, and vector optimization-but also explains the connections between them, enabling the study of a general form of variational inequality problems related to the optimality conditions invol