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First Steps in Differential Geometry: Riemannian, Contact, Symplectic
by Andrew McinerneyDifferential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.
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.
The Fitness of Information
by Chaomei ChenTheories and practices to assess critical information in a complex adaptive system Organized for readers to follow along easily, The Fitness of Information: Quantitative Assessments of Critical Evidence provides a structured outline of the key challenges in assessing crucial information in a complex adaptive system. Illustrating a variety of computational and explanatory challenges, the book demonstrates principles and practical implications of exploring and assessing the fitness of information in an extensible framework of adaptive landscapes. The book's first three chapters introduce fundamental principles and practical examples in connection to the nature of aesthetics, mental models, and the subjectivity of evidence. In particular, the underlying question is how these issues can be addressed quantitatively, not only computationally but also explanatorily. The next chapter illustrates how one can reduce the level of complexity in understanding the structure and dynamics of scientific knowledge through the design and use of the CiteSpace system for visualizing and analyzing emerging trends in scientific literature. The following two chapters explain the concepts of structural variation and the fitness of information in a framework that builds on the idea of fitness landscape originally introduced to study population evolution. The final chapter presents a dual-map overlay technique and demonstrates how it supports a variety of analytic tasks for a new type of portfolio analysis. The Fitness of Information: Quantitative Assessments of Critical Evidence also features: In-depth case studies and examples that characterize far-reaching concepts, illustrate underlying principles, and demonstrate profound challenges and complexities at various levels of analytic reasoning Wide-ranging topics that underline the common theme, from the subjectivity of evidence in criminal trials to detecting early signs of critical transitions and mechanisms behind radical patents An extensible and unifying framework for visual analytics by transforming analytic reasoning tasks to the assessment of critical evidence The Fitness of Information: Quantitative Assessments of Critical Evidence is a suitable reference for researchers, analysts, and practitioners who are interested in analyzing evidence and making decisions with incomplete, uncertain, and even conflicting information. The book is also an excellent textbook for upper-undergraduate and graduate-level courses on visual analytics, information visualization, and business analytics and decision support systems.
The Fitted Finite Volume and Power Penalty Methods for Option Pricing (SpringerBriefs in Applied Sciences and Technology)
by Song WangThis book contains mostly the author’s up-to-date research results in the area. Option pricing has attracted much attention in the past decade from applied mathematicians, statisticians, practitioners and educators. Many partial differential equation-based theoretical models have been developed for valuing various options. These models do not have any practical use unless their solutions can be found. However, most of these models are far too complex to solve analytically and numerical approximations have to be sought in practice. The contents of the book consist of three parts: (i) basic theory of stochastic control and formulation of various option pricing models, (ii) design of finite volume, finite difference and penalty-based algorithms for solving the models and (iii) stability and convergence analysis of the algorithms. It also contains extensive numerical experiments demonstrating how these algorithms perform for practical problems. The theoretical and numerical results demonstrate these algorithms provide efficient, accurate and easy-to-implement numerical tools for financial engineers to price options. This book is appealing to researchers in financial engineering, optimal control and operations research. Financial engineers and practitioners will also find the book helpful in practice.
Fitting Statistical Distributions: The Generalized Lambda Distribution and Generalized Bootstrap Methods
by null Zaven A. Karian null 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 Ariane Dewey Jose Aruego RaffiFirst 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.
The Five Practices in Practice [Elementary]: Successfully Orchestrating Mathematics Discussions in Your Elementary Classroom (Corwin Mathematics Series)
by Margaret (Peg) Smith Miriam Gamoran Sherin Victoria L. Bill"Neither a love of students nor a love of mathematics can sustain the work of math education on its own. We work with math students, a composite of their mathematical ideas and their identities as people. The five practices for orchestrating productive mathematical discussions, and these ideas for putting those practices into practice, offer the actions that can develop and sustain the belief that both math and students matter." From the Foreword by Dan Meyer, Chief Academic Officer, Desmos Take a deeper dive into understanding the five practices—anticipating, monitoring, selecting, sequencing, and connecting—for facilitating productive mathematical conversations in your elementary classrooms and learn to apply them with confidence. This follow-up to the modern classic, Five Practices for Orchestrating Productive Mathematics Discussions, shows the five practices in action in Grades K-5 classrooms and empowers teachers to be prepared for and overcome the challenges common to orchestrating math discussions. The chapters unpack the five practices and guide teachers to a deeper understanding of how to use each practice effectively in an inquiry-oriented classroom. This book will help you launch meaningful mathematical discussion through • Key questions to set learning goals, identify high-level tasks, anticipate student responses, and develop targeted assessing and advancing questions that jumpstart productive discussion—before class begins • Video excerpts from real elementary classrooms that vividly illustrate the five practices in action and include built-in opportunities for you to consider effective ways to monitor students’ ideas, and successful approaches for selecting, sequencing, and connecting students’ ideas during instruction • "Pause and Consider" prompts that help you reflect on an issue—and, in some cases, draw on your own classroom experience—prior to reading more about it • "Linking To Your Own Instruction" sections help you implement the five practices with confidence in your own instruction The book and companion website provide an array of resources including planning templates, sample lesson plans and completed monitoring tools, and mathematical tasks. Enhance your fluency in the five practices to bring powerful discussions of mathematical concepts to life in your classroom.
The Five Practices in Practice [Elementary]: Successfully Orchestrating Mathematics Discussions in Your Elementary Classroom (Corwin Mathematics Series)
by Margaret (Peg) Smith Miriam Gamoran Sherin Victoria L. Bill"Neither a love of students nor a love of mathematics can sustain the work of math education on its own. We work with math students, a composite of their mathematical ideas and their identities as people. The five practices for orchestrating productive mathematical discussions, and these ideas for putting those practices into practice, offer the actions that can develop and sustain the belief that both math and students matter." From the Foreword by Dan Meyer, Chief Academic Officer, Desmos Take a deeper dive into understanding the five practices—anticipating, monitoring, selecting, sequencing, and connecting—for facilitating productive mathematical conversations in your elementary classrooms and learn to apply them with confidence. This follow-up to the modern classic, Five Practices for Orchestrating Productive Mathematics Discussions, shows the five practices in action in Grades K-5 classrooms and empowers teachers to be prepared for and overcome the challenges common to orchestrating math discussions. The chapters unpack the five practices and guide teachers to a deeper understanding of how to use each practice effectively in an inquiry-oriented classroom. This book will help you launch meaningful mathematical discussion through • Key questions to set learning goals, identify high-level tasks, anticipate student responses, and develop targeted assessing and advancing questions that jumpstart productive discussion—before class begins • Video excerpts from real elementary classrooms that vividly illustrate the five practices in action and include built-in opportunities for you to consider effective ways to monitor students’ ideas, and successful approaches for selecting, sequencing, and connecting students’ ideas during instruction • "Pause and Consider" prompts that help you reflect on an issue—and, in some cases, draw on your own classroom experience—prior to reading more about it • "Linking To Your Own Instruction" sections help you implement the five practices with confidence in your own instruction The book and companion website provide an array of resources including planning templates, sample lesson plans and completed monitoring tools, and mathematical tasks. Enhance your fluency in the five practices to bring powerful discussions of mathematical concepts to life in your classroom.
The Five Practices in Practice [High School]: Successfully Orchestrating Mathematics Discussions in Your High School Classroom (Corwin Mathematics Series)
by null Margaret (Peg) Smith null Michael D. Steele null Miriam Gamoran Sherin"This book makes the five practices accessible for high school mathematics teachers. Teachers will see themselves and their classrooms throughout the book. High school mathematics departments and teams can use this book as a framework for engaging professional collaboration. I am particularly excited that this book situates the five practices as ambitious and equitable practices." Robert Q. Berry, III NCTM President 2018-2020 Samuel Braley Gray Professor of Mathematics Education, University of Virginia Take a deeper dive into understanding the five practices—anticipating, monitoring, selecting, sequencing, and connecting—for facilitating productive mathematical conversations in your high school classrooms and learn to apply them with confidence. This follow-up to the modern classic, 5 Practices for Orchestrating Productive Mathematics Discussions, shows the five practices in action in high school classrooms and empowers teachers to be prepared for and overcome the challenges common to orchestrating math discussions. The chapters unpack the five practices and guide teachers to a deeper understanding of how to use each practice effectively in an inquiry-oriented classroom. This book will help you launch meaningful mathematical discussion through · Key questions to set learning goals, identify high-level tasks, anticipate student responses, and develop targeted assessing and advancing questions that jumpstart productive discussion—before class begins · Video excerpts from real high school classrooms that vividly illustrate the five practices in action and include built-in opportunities for you to consider effective ways to monitor students’ ideas, and successful approaches for selecting, sequencing, and connecting students’ ideas during instruction · "Pause and Consider" prompts that help you reflect on an issue—and, in some cases, draw on your own classroom experience—prior to reading more about it · "Linking To Your Own Instruction" sections help you implement the five practices with confidence in your own instruction The book and companion website provide an array of resources including planning templates, sample lesson plans, completed monitoring tools, and mathematical tasks. Enhance your fluency in the five practices to bring powerful discussions of mathematical concepts to life in your classroom.
The Five Practices in Practice [High School]: Successfully Orchestrating Mathematics Discussions in Your High School Classroom (Corwin Mathematics Series)
by null Margaret (Peg) Smith null Michael D. Steele null Miriam Gamoran Sherin"This book makes the five practices accessible for high school mathematics teachers. Teachers will see themselves and their classrooms throughout the book. High school mathematics departments and teams can use this book as a framework for engaging professional collaboration. I am particularly excited that this book situates the five practices as ambitious and equitable practices." Robert Q. Berry, III NCTM President 2018-2020 Samuel Braley Gray Professor of Mathematics Education, University of Virginia Take a deeper dive into understanding the five practices—anticipating, monitoring, selecting, sequencing, and connecting—for facilitating productive mathematical conversations in your high school classrooms and learn to apply them with confidence. This follow-up to the modern classic, 5 Practices for Orchestrating Productive Mathematics Discussions, shows the five practices in action in high school classrooms and empowers teachers to be prepared for and overcome the challenges common to orchestrating math discussions. The chapters unpack the five practices and guide teachers to a deeper understanding of how to use each practice effectively in an inquiry-oriented classroom. This book will help you launch meaningful mathematical discussion through · Key questions to set learning goals, identify high-level tasks, anticipate student responses, and develop targeted assessing and advancing questions that jumpstart productive discussion—before class begins · Video excerpts from real high school classrooms that vividly illustrate the five practices in action and include built-in opportunities for you to consider effective ways to monitor students’ ideas, and successful approaches for selecting, sequencing, and connecting students’ ideas during instruction · "Pause and Consider" prompts that help you reflect on an issue—and, in some cases, draw on your own classroom experience—prior to reading more about it · "Linking To Your Own Instruction" sections help you implement the five practices with confidence in your own instruction The book and companion website provide an array of resources including planning templates, sample lesson plans, completed monitoring tools, and mathematical tasks. Enhance your fluency in the five practices to bring powerful discussions of mathematical concepts to life in your classroom.
Fixed Borders, Fluid Boundaries: Identity, Resources and Mobility in Northeast India
by Chandan Kumar Sharma Reshmi BanerjeeThis 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.
A Fixed-Point Farrago (Universitext)
by Joel H. ShapiroThis text provides an introduction to some of the best-known fixed-point theorems, with an emphasis on their interactions with topics in analysis. The level of exposition increases gradually throughout the book, building from a basic requirement of undergraduate proficiency to graduate-level sophistication. Appendices provide an introduction to (or refresher on) some of the prerequisite material and exercises are integrated into the text, contributing to the volume's ability to be used as a self-contained text. Readers will find the presentation especially useful for independent study or as a supplement to a graduate course in fixed-point theory. The material is split into four parts: the first introduces the Banach Contraction-Mapping Principle and the Brouwer Fixed-Point Theorem, along with a selection of interesting applications; the second focuses on Brouwer's theorem and its application to John Nash's work; the third applies Brouwer's theorem to spaces of infinite dimension; and the fourth rests on the work of Markov, Kakutani, and Ryll-Nardzewski surrounding fixed points for families of affine maps.
Fixed Point of the Parabolic Renormalization Operator
by Oscar E. Lanford III Michael YampolskyThis monograph grew out of the authors' efforts to provide a natural geometric description for the class of maps invariant under parabolic renormalization and for the Inou-Shishikura fixed point itself as well as to carry out a computer-assisted study of the parabolic renormalization operator. It introduces a renormalization-invariant class of analytic maps with a maximal domain of analyticity and rigid covering properties and presents a numerical scheme for computing parabolic renormalization of a germ, which is used to compute the Inou-Shishikura renormalization fixed point. Inside, readers will find a detailed introduction into the theory of parabolic bifurcation, Fatou coordinates, Écalle-Voronin conjugacy invariants of parabolic germs, and the definition and basic properties of parabolic renormalization. The systematic view of parabolic renormalization developed in the book and the numerical approach to its study will be interesting to both experts in the field as well as graduate students wishing to explore one of the frontiers of modern complex dynamics.
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 Karima Mebarki Svetlin Georgiev Smail Djebali Khaled ZennirAs 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.