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The Great Polygon Caper
by Karen FerrellMayor Lostis Marbles, the hero of Adventures in Mathopolis: Estimating and Measuring, is looking for help in solving his problems. Coming to his rescue is a superhero and problem solver, the fifteen-year-old, skateboard-riding Kent Clark, also known as Edge Master.
Great Source Summer Success Math: Grade 7, 2008 (Summer Success Math Ser.)
by Great Source Education Group StaffSummer Success: Math provides a complete and comprehensive summer school program with powerful reinforcement of grade-level standards. The Kindergarten program includes daily and weekly lesson plans that have been proven effective in raising test scores. Motivating games and concept builder activities are included in this program to help reinforce the grade-level math strands. Summer Success: Math can fit any summer school configuration.
The Great Unknown: Seven Journeys to the Frontiers of Science
by Marcus Du Sautoy“Brilliant and fascinating. No one is better at making the recondite accessible and exciting.” —Bill Bryson A captivating journey to the outer reaches of human knowledgeEver since the dawn of civilization we have been driven by a desire to know. But are there limits to human knowledge? Are some things beyond the predictive powers of science and the capacities of the human brain? Or are those challenges the next big discovery waiting to happen? In The Great Unknown, one of the world’s most brilliant mathematicians takes us into the minds of science’s greatest innovators as he probes the many mysteries we have yet to solve. From the very large to the very small, from the distant future to the deep past, from the complexities of the human brain to the infinities of mathematics, Marcus du Sautoy invites us to join him on a journey to the seven frontiers of knowledge, the outer edges where scientists are actively grappling with the unknown. Can we locate consciousness in the brain? What is dark energy made of? Can we speak of time before the Big Bang? Is it possible to predict the future? At once exhilarating and mind bending, The Great Unknown will challenge you to think in new ways about every aspect of the known world. Du Sautoy reminds us that major breakthroughs were often ridiculed at the time of their discovery and invites us to consider big questions—about who we are and the nature of God—that even the most creative scientists have yet to answer definitively.
Greek Americans: Struggle and Success
by Charles C. MoskosThis is an engrossing account of Greek Americans--their history, strengths, conflicts, aspirations, and contributions. This is the story of immigrants, their children and grandchildren, most of whom maintain an attachment to Greek ethnic identity even as they have become one of this country's most successful ethnic groups.
Greek Mathematical Thought and the Origin of Algebra
by Jacob KleinImportant study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. This brought about the crucial change in the concept of number that made possible modern science -- in which the symbolic "form" of a mathematical statement is completely inseparable from its "content" of physical meaning. Includes a translation of Vieta's Introduction to the Analytical Art. 1968 edition. Bibliography.
Green and Smart Technologies for Smart Cities
by Pradeep Tomar Gurjit KaurThe book starts with an overview of the role of cities in climate change and environmental pollution worldwide, followed by the concept description of smart cities and their expected features, focusing on green technology innovation. This book explores the energy management strategies required to minimize the need for huge investments in high-capacity transmission lines from distant power plants. A new range of renewable energy technologies modified for installation in cities like small wind turbines, micro-CHP and heat pumps are described. The overall objective of this book is to explore all the green and smart technologies for designing green smart cities.
Green Bonds and Sustainable Finance: The Evolution of Portfolio Management in Conventional Markets (Routledge International Studies in Money and Banking)
by Muhammad Saeed Meo Marcin W. StaniewskiThis book introduces green bonds and their significance in portfolio management and sustainable finance. It emphasizes the significance of green bonds in terms of two primary factors: environmental sustainability and investor return.The book establishes the definitions, features, and typology of green bonds, and explains the characteristics that separate it from traditional ones. It delves into the benefits and challenges of investing in these financial instruments, and outlines the process by which green bonds are certified, focusing on the widely accepted Climate Bonds Standard. It also covers transparency, reporting, and monitoring measurements of green bonds. In its second section, the book focuses on investor and policy perspectives. The authors discuss asset allocation strategies for investors as well as various methods for integrating ESG issues into investment portfolio design. New estimating methodologies and case studies of successful green bond investments are also provided.Pitched at graduate students and researchers in finance, accounting, as well as related fields of energy and environmental economics, this book will also interest practitioners and investors looking to understand this emerging area in finance.
The Green Book of Mathematical Problems (Dover Books on Mathematics)
by Kenneth Hardy Kenneth S. WilliamsRich selection of 100 practice problems -- with hints and solutions -- for students preparing for the William Lowell Putnam and other undergraduate-level mathematical competitions. Features real numbers, differential equations, integrals, polynomials, sets, other topics. Hours of stimulating challenge for math buffs at varying degrees of proficiency. References.
Green Growth and Sustainable Development
by Tapio Palokangas Jesús Crespo Cuaresma Alexander TarasyevThe book examines problems associated with green growth and sustainable development on the basis of recent contributions in economics, natural sciences and applied mathematics, especially optimal control theory. Its main topics include pollution, biodiversity, exhaustible resources and climate change. The integrating framework of the book is dynamic systems theory which offers a common basis for multidisciplinatory research and mathematical tools for solving complicated models, leading to new insights in environmental issues.
Green IT Engineering: Social, Business and Industrial Applications (Studies in Systems, Decision and Control #171)
by Vyacheslav Kharchenko Yuriy Kondratenko Janusz KacprzykThis book describes the implementation of green IT in various human and industrial domains. Consisting of four sections: “Development and Optimization of Green IT”, “Modelling and Experiments with Green IT Systems”, “Industry and Transport Green IT Systems”, “Social, Educational and Business Aspects of Green IT”, it presents results in two areas – the green components, networks, cloud and IoT systems and infrastructures; and the industry, business, social and education domains. It discusses hot topics such as programmable embedded and mobile systems, sustainable software and data centers, Internet servicing and cyber social computing, assurance cases and lightweight cryptography in context of green IT. Intended for university students, lecturers and researchers who are interested in power saving and sustainable computing, the book also appeals to engineers and managers of companies that develop and implement energy efficient IT applications.
Green's Functions
by Yuri A. Melnikov Volodymyr N. BorodinThis textbook accounts for two seemingly unrelated mathematical topics drawn from two separate areas of mathematics that have no evident points of contiguity. Green's function is a topic in partial differential equations and covered in most standard texts, while infinite products are used in mathematical analysis. For the two-dimensional Laplace equation, Green's functions are conventionally constructed by either the method of images, conformal mapping, or the eigenfunction expansion. The present text focuses on the construction of Green's functions for a wide range of boundary-value problems. Green's Functions and Infinite Products provides a thorough introduction to the classical subjects of the construction of Green's functions for the two-dimensional Laplace equation and the infinite product representation of elementary functions. Every chapter begins with a review guide, outlining the basic concepts covered. A set of carefully designed challenging exercises is available at the end of each chapter to provide the reader with the opportunity to explore the concepts in more detail. Hints, comments, and answers to most of those exercises can be found at the end of the text. In addition, several illustrative examples are offered at the end of most sections. This text is intended for an elective graduate course or seminar within the scope of either pure or applied mathematics.
Green's Functions and Infinite Products
by Yuri A. MelnikovGreen's Functions and Infinite Products provides a thorough introduction to the classical subjects of the construction of Green's functions for the two-dimensional Laplace equation and the infinite product representation of elementary functions. Every chapter begins with a review guide, outlining the basic concepts covered. A set of carefully designed challenging exercises is available at the end of each chapter to provide the reader with the opportunity to explore the concepts in more detail. Hints, comments, and answers to most of those exercises can be found at the end of the text. In addition, several illustrative examples are offered at the end of most sections. This text is intended for an elective graduate course or seminar within the scope of either pure or applied mathematics.
Green's Functions and Linear Differential Equations: Theory, Applications, and Computation (Chapman & Hall/CRC Applied Mathematics & Nonlinear Science)
by null Prem K. KytheGreen's Functions and Linear Differential Equations: Theory, Applications, and Computation presents a variety of methods to solve linear ordinary differential equations (ODEs) and partial differential equations (PDEs). The text provides a sufficient theoretical basis to understand Green's function method, which is used to solve initial and boundary
Green's Functions in the Theory of Ordinary Differential Equations
by Alberto CabadaThis book provides a complete and exhaustive study of the Green's functions. Professor Cabada first proves the basic properties of Green's functions and discusses the study of nonlinear boundary value problems. Classic methods of lower and upper solutions are explored, with a particular focus on monotone iterative techniques that flow from them. In addition, Cabada proves the existence of positive solutions by constructing operators defined in cones. The book will be of interest to graduate students and researchers interested in the theoretical underpinnings of boundary value problem solutions.
Green's Functions with Applications (Advances in Applied Mathematics)
by Dean G. DuffySince publication of the first edition over a decade ago, Green’s Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Green’s function. This fully revised Second Edition retains the same purpose, but has been meticulously updated to reflect the current state of the art. The book opens with necessary background information: a new chapter on the historical development of the Green’s function, coverage of the Fourier and Laplace transforms, a discussion of the classical special functions of Bessel functions and Legendre polynomials, and a review of the Dirac delta function. The text then presents Green’s functions for each class of differential equation (ordinary differential, wave, heat, and Helmholtz equations) according to the number of spatial dimensions and the geometry of the domain. Detailing step-by-step methods for finding and computing Green’s functions, each chapter contains a special section devoted to topics where Green’s functions particularly are useful. For example, in the case of the wave equation, Green’s functions are beneficial in describing diffraction and waves. To aid readers in developing practical skills for finding Green’s functions, worked examples, problem sets, and illustrations from acoustics, applied mechanics, antennas, and the stability of fluids and plasmas are featured throughout the text. A new chapter on numerical methods closes the book. Included solutions and hundreds of references to the literature on the construction and use of Green's functions make Green’s Functions with Applications, Second Edition a valuable sourcebook for practitioners as well as graduate students in the sciences and engineering.
Green's Kernels and Meso-Scale Approximations in Perforated Domains
by Alexander Movchan Vladimir Maz'Ya Michael NievesThere are a wide range of applications in physics and structural mechanics involving domains with singular perturbations of the boundary. Examples include perforated domains and bodies with defects of different types. The accurate direct numerical treatment of such problems remains a challenge. Asymptotic approximations offer an alternative, efficient solution. Green's function is considered here as the main object of study rather than a tool for generating solutions of specific boundary value problems. The uniformity of the asymptotic approximations is the principal point of attention. We also show substantial links between Green's functions and solutions of boundary value problems for meso-scale structures. Such systems involve a large number of small inclusions, so that a small parameter, the relative size of an inclusion, may compete with a large parameter, represented as an overall number of inclusions. The main focus of the present text is on two topics: (a) asymptotics of Green's kernels in domains with singularly perturbed boundaries and (b) meso-scale asymptotic approximations of physical fields in non-periodic domains with many inclusions. The novel feature of these asymptotic approximations is their uniformity with respect to the independent variables. This book addresses the needs of mathematicians, physicists and engineers, as well as research students interested in asymptotic analysis and numerical computations for solutions to partial differential equations.
Grenzwerte oder infinitesimale Zahlen?: Über Einstiege in die Analysis und ihren Hintergrund (essentials)
by Thomas Bedürftig Karl KuhlemannIn diesem Buch wird der Weg von den infinitesimalen Größen bei Leibniz über die Grenzwerte zu den infinitesimalen Zahlen der Nichtstandardanalysis skizziert. Die begrifflichen Probleme der Grenzwerte werden diskutiert und der Einstieg in die Analysis mit infinitesimalen und infiniten Zahlen vorgestellt. Ein Vergleich mit dem Grenzwerteinstieg zeigt die Möglichkeiten der infinitesimalen Zahlen. Der Grenzwertformalismus entfällt. Der Einstieg in die Analysis wird arithmetisch und zugleich anschaulich. Da die heutige Analysis in Grenzwerten geschrieben ist, geht es nicht um eine Entscheidung, sondern um Offenheit. Infinitesimale Zahlen erweitern das Repertoire, vertiefen und verändern das mathematische Denken und öffnen den Blick, nicht zuletzt auf die Grenzwerte.
Grey Forecasting: Mechanism, Models and Applications (Series on Grey System)
by Naiming Xie Baolei WeiThis book aims to present an overview of grey system models for time series modelling and forecasting. It is about modelling and forecasting time series with ordinary differential equations, especially when the available samples are extremely limited. Grey system models (GSM) develop sequence operators to nonparametrically identify the underlying dynamics from the limited observations. This book concerns about two important modelling themes, small sample and poor information. The former focuses on the mechanism and methodology of GSMs for small-sample real-number time series, and the latter on the uncertainty quantification of grey number together with its small-sample modelling principles. In this book, a broad entry point to applied data science for students majoring in economic, management science, and engineering is applied, covering a wide range of topics from basic introductory material up to research-level techniques.
Grey Game Theory and Its Applications in Economic Decision-Making (Systems Evaluation, Prediction, and Decision-Making)
by Zhigeng Fang Sifeng Liu Hongxing Shi Yi LinTo make the best decisions, you need the best information. However, because most issues in game theory are grey, nearly all recent research has been carried out using a simplified method that considers grey systems as white ones. This often results in a forecasting function that is far from satisfactory when applied to many real situations. Grey Ga
Grey Systems Analysis: Methods, Models and Applications (Series on Grey System)
by Sifeng LiuThis open access book is the 2nd edition involving the update on data, methods and models of Grey Systems. It covers up-to-date theoretical and applied advances in grey systems from across the world, and vividly presents the reader with the overall picture of this new theory and its frontier research. Many of the concepts, models and methods in the book are original by the author, including kernel, degree of greyness of grey number, simplified form of grey number, general grey number and the operation system; the axiomatic system of buffer operators and a series of weakening and strengthening buffer operators; a series of grey relational analysis models, including grey absolute, relative, synthetic, similarity, closeness, negative, three dimension, and grey relational analysis model for cross-sequences, etc.; grey fixed weight clustering model, grey evaluation models based on center-point and end-point mixed possibility functions; original difference grey model (ODGM), even difference grey model (EDGM), discrete grey model (DGM), fractional grey models, self-memory grey models; multi-attribute weighted intelligent grey target decision models, kernel weight vector group and the weighted comprehensive clustering coefficient vector, and spectrum analysis of sequence operators, etc. The revision includes: (1) Added new achievements made in recent years, such as the moving average denoise operator, a series of negative grey relational models, grey relational model for cross-sequences, standard uncertainty numbers and their operations, adaptive Grey Prediction Models and so on; (2) Important data related to the development of grey system theory has been updated; (3) Research reviews have been added to each chapter, and a large number of references have been added; (4)Updated application examples of commonly used models and methods. This book will be appropriate as a reference and/or textbook for courses of grey system theory for graduate students or high level undergraduate students, majoring in various fields of natural sciences, social sciences and engineering technology. It can also be utilized by researchers and technicians in research institutions, business entities, and government agencies.
Grid-based Nonlinear Estimation and Its Applications
by Bin Jia Ming XinGrid-based Nonlinear Estimation and its Applications presents new Bayesian nonlinear estimation techniques developed in the last two decades. Grid-based estimation techniques are based on efficient and precise numerical integration rules to improve performance of the traditional Kalman filtering based estimation for nonlinear and uncertainty dynamic systems. The unscented Kalman filter, Gauss-Hermite quadrature filter, cubature Kalman filter, sparse-grid quadrature filter, and many other numerical grid-based filtering techniques have been introduced and compared in this book. Theoretical analysis and numerical simulations are provided to show the relationships and distinct features of different estimation techniques. To assist the exposition of the filtering concept, preliminary mathematical review is provided. In addition, rather than merely considering the single sensor estimation, multiple sensor estimation, including the centralized and decentralized estimation, is included. Different decentralized estimation strategies, including consensus, diffusion, and covariance intersection, are investigated. Diverse engineering applications, such as uncertainty propagation, target tracking, guidance, navigation, and control, are presented to illustrate the performance of different grid-based estimation techniques.
Grid Computing: Infrastructure, Service, and Applications
by Lizhe Wang Wei Jie Jinjun ChenIdentifies Recent Technological Developments Worldwide The field of grid computing has made rapid progress in the past few years, evolving and developing in almost all areas, including concepts, philosophy, methodology, and usages. Grid Computing: Infrastructure, Service, and Applications reflects the recent advances in this field, covering the research aspects that involve infrastructure, middleware, architecture, services, and applications. Grid Systems Across the Globe The first section of the book focuses on infrastructure and middleware and presents several national and international grid systems. The text highlights China Research and Development environment Over Wide-area Network (CROWN), several ongoing cyberinfrastructure efforts in New York State, and Enabling Grids for E-sciencE (EGEE), which is co-funded by the European Commission and the world’s largest multidisciplinary grid infrastructure today. The second part of the book discusses recent grid service advances. The authors examine the UK National Grid Service (NGS), the concept of resource allocation in a grid environment, OMIIBPEL, and the possibility of treating scientific workflow issues using techniques from the data stream community. The book describes an SLA model, reviews portal and workflow technologies, presents an overview of PKIs and their limitations, and introduces PIndex, a peer-to-peer model for grid information services. New Projects and Initiatives The third section includes an analysis of innovative grid applications. Topics covered include the WISDOM initiative, incorporating flow-level networking models into grid simulators, system-level virtualization, grid usage in the high-energy physics environment in the LHC project, and the Service Oriented HLA RTI (SOHR) framework. With a comprehensive summary of past advances, this text is a window into the future of this nascent technology, forging a path for the next generation of cyberinfrastructure developers.
Grid Computing: Techniques and Applications (Chapman & Hall/CRC Computational Science)
by Barry WilkinsonDesigned for senior undergraduate and first-year graduate students, Grid Computing: Techniques and Applications shows professors how to teach this subject in a practical way. Extensively classroom-tested, it covers job submission and scheduling, Grid security, Grid computing services and software tools, graphical user interfaces, workflow editors,
Grid Optimal Integration of Electric Vehicles: Examples with Matlab Implementation
by Seddik Bacha Andrés Ovalle Ahmad HablyThis book is a compilation of recent research on distributed optimization algorithms for the integral load management of plug-in electric vehicle (PEV) fleets and their potential services to the electricity system. It also includes detailed developed Matlab scripts. These algorithms can be implemented and extended to diverse applications where energy management is required (smart buildings, railways systems, task sharing in micro-grids, etc.). The proposed methodologies optimally manage PEV fleets’ charge and discharge schedules by applying classical optimization, game theory, and evolutionary game theory techniques. Taking owner’s requirements into consideration, these approaches provide services like load shifting, load balancing among phases of the system, reactive power supply, and task sharing among PEVs. The book is intended for use in graduate optimization and energy management courses, and readers are encouraged to test and adapt the scripts to their specific applications.
Grid Resource Management: Toward Virtual and Services Compliant Grid Computing (Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series)
by Frederic Magoules Thi-Mai-Huong Nguyen Lei YuGrid technology offers the potential for providing secure access to remote services, thereby promoting scientific collaborations in an unprecedented scale. Grid Resource Management: Toward Virtual and Services Compliant Grid Computing presents a comprehensive account of the architectural issues of grid technology, such as security, data management,