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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 Margaret (Peg) Smith Michael D. Steele 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 Margaret (Peg) Smith Michael D. Steele 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.
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 Praveen Agarwal Mohamed Jleli Bessem SametThis 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 Erdal Karapınar Donal O'Regan 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
Fixed-Time Cooperative Control of Multi-Agent Systems
by Zongyu Zuo Qing-Long Han Boda NingThis monograph presents new theories and methods for fixed-time cooperative control of multi-agent systems. Fundamental concepts of fixed-time stability and stabilization are introduced with insightful understanding. This book presents solutions for several problems of fixed-time cooperative control using systematic design methods. The book compares fixed-time cooperative control with asymptotic cooperative control, demonstrating how the former can achieve better closed-loop performance and disturbance rejection properties. It also discusses the differences from finite-time control, and shows how fixed-time cooperative control can produce the faster rate of convergence and provide an explicit estimate of the settling time independent of initial conditions. This monograph presents multiple applications of fixed-time control schemes, including to distributed optimization of multi-agent systems, making it useful to students, researchers and engineers alike.
Fixpunkte und Nullstellen: Klartext für Nichtmathematiker (essentials)
by Guido WalzDieses Buch vermittelt in leicht zugänglicher Sprache Methoden zur numerischen Berechnung von Fixpunkten und Nullstellen reeller Funktionen mithilfe von Iterationsverfahren. Insbesondere das Banach-Verfahren zur Fixpunktbestimmung sowie das Newton-Verfahren, eines der besten numerischen Verfahren zur Nullstellenberechnung von Funktionen, werden ausführlich dargestellt. In einem abschließenden Kapitel werden Anwendungen dieser Verfahren behandelt. Unter anderen geht es dabei um die beliebig genaue Berechnung von Wurzeln jeder Ordnung. Da sich der Text ausdrücklich (auch) an Nichtmathematiker und Nichtmathematikerinnen wendet, ist er bewusst in allgemein verständlicher Sprache gehalten, um die Leser nicht durch übertriebene Fachsprache abzuschrecken; schließlich soll es sich ebenfalls laut Untertitel um „Klartext“ handeln. Zahlreiche Beispiele machen die einzelnen Themen leicht verständlich.
Flash Computation and EoS Modelling for Compositional Thermal Simulation of Flow in Porous Media (Springer Theses)
by Duncan PatersonThis book investigates a wide range of phase equilibrium modelling and calculation problems for compositional thermal simulation. Further, it provides an effective solution for multiphase isenthalpic flash under the classical framework, and it also presents a new flash calculation framework for multiphase systems, which can handle phase equilibrium and chemical reaction equilibrium simultaneously. The framework is particularly suitable for systems with many phases and reactions. In this book, the author shows how the new framework can be generalised for different flash specifications and different independent variables. Since the flash calculation is at the heart of various types of compositional simulation, the findings presented here will promote the combination of phase equilibrium and chemical equilibrium calculations in future simulators, aiming at improving their robustness and efficiency.
Flatland: A Romance of Many Dimensions (Dover Thrift Editions: Classic Novels)
by Edwin A. AbbottThis masterpiece of science (and mathematical) fiction is a delightfully unique and highly entertaining satire that has charmed readers for more than 100 years. The work of English clergyman, educator and Shakespearean scholar Edwin A. Abbott (1838-1926), it describes the journeys of A. Square, a mathematician and resident of the two-dimensional Flatland, where women-thin, straight lines-are the lowliest of shapes, and where men may have any number of sides, depending on their social status.Through strange occurrences that bring him into contact with a host of geometric forms, Square has adventures in Spaceland (three dimensions), Lineland (one dimension) and Pointland (no dimensions) and ultimately entertains thoughts of visiting a land of four dimensions—a revolutionary idea for which he is returned to his two-dimensional world. Charmingly illustrated by the author, Flatland is not only fascinating reading, it is still a first-rate fictional introduction to the concept of the multiple dimensions of space. "Instructive, entertaining, and stimulating to the imagination." — Mathematics Teacher.
Flatland: A Romance of Many Dimensions
by Edwin Abbott Abbott Thomas BanchoffIn 1884, Edwin Abbott Abbott wrote a mathematical adventure set in a two-dimensional plane world, populated by a hierarchical society of regular geometrical figures-who think and speak and have all too human emotions. Since then Flatland has fascinated generations of readers, becoming a perennial science-fiction favorite. By imagining the contact of beings from different dimensions, the author fully exploited the power of the analogy between the limitations of humans and those of his two-dimensional characters. A first-rate fictional guide to the concept of multiple dimensions of space, the book will also appeal to those who are interested in computer graphics. This field, which literally makes higher dimensions seeable, has aroused a new interest in visualization. We can now manipulate objects in four dimensions and observe their three-dimensional slices tumbling on the computer screen. But how do we interpret these images? In his introduction, Thomas Banchoff points out that there is no better way to begin exploring the problem of understanding higher-dimensional slicing phenomena than reading this classic novel of the Victorian era.
Flatland
by by Edwin A. Abbott William F. Lindgren Thomas F. Banchoff by Edwin A. Abbott William F. Lindgren Thomas F. BanchoffFlatland, Edwin Abbott's story of a two-dimensional universe, as told by one of its inhabitants who is introduced to the mysteries of three-dimensional space, has enjoyed an enduring popularity from the time of its publication in 1884. This fully annotated edition enables the modern-day reader to understand and appreciate the many 'dimensions' of this classic satire. Mathematical notes and illustrations enhance the usefulness of Flatland as an elementary introduction to higher-dimensional geometry. Historical notes show connections to late-Victorian England and to classical Greece. Citations from Abbott's other writings as well as the works of Plato and Aristotle serve to interpret the text. Commentary on language and literary style includes numerous definitions of obscure words. An appendix gives a comprehensive account of the life and work of Flatland's remarkable author.
The Flawed Genius of William Playfair: The Story of the Father of Statistical Graphics
by David R. BellhouseA product of the Scottish Enlightenment, William Playfair (1759–1823) worked as a statistician, economist, engineer, banker, land speculator, scam artist, and political propagandist. It has been claimed – erroneously – that Playfair was a spy for the British government and ran a forging operation to print the paper money of the French Revolution. The Flawed Genius of William Playfair offers a complete account of Playfair’s life, richly contextualized in the economic, political, and cultural history of the French Revolution and Napoleonic Wars. The book explores the many peaks and troughs of Playfair’s career, ranging from moderate prosperity to bankruptcy and imprisonment. Through careful analysis, David R. Bellhouse shows that Playfair was neither a spy nor a forger, but perhaps briefly a one-time courier for a government minister. Bellhouse pieces together as complete a picture as possible of the forging operations supported by the British government and illuminates Playfair’s lasting contributions in economics and statistics, where he is known as the father of statistical graphics. Disputing the misinformation about the man, The Flawed Genius of William Playfair highlights that the truth about Playfair’s life is often more intriguing than the fictions that surround him.