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The Young Child And Mathematics (Second Edition)
by Juanita V. CopleyReflects recent developments in math education using vignettes from classrooms, activity ideas, and strategies for teaching young children about math processes and concepts. Incorporates standards and guidelines from NCTM and NAEYC.
The Young Child and Mathematics, Third Edition
by Angela Chan Turrou Nicholas C. Johnson Megan L. FrankeTap into the Power of Child-Led Math Teaching and Learning Winner of the 2022 Excel Silver Award for Technical Book. Everything a child does has mathematical value—these words are at the heart of this completely revised and updated third edition of The Young Child and Mathematics. Grounded in current research, this classic book focuses on how teachers working with children ages 3 to 6 can find and build on the math inherent in children's ideas in ways that are playful and intentional. This resource - Illustrates through detailed vignettes how math concepts can be explored in planned learning experiences as well as informal spaces - Highlights in-the-moment instructional decision-making and child-teacher interactions that meaningfully and dynamically support children in making math connections - Provides an overview of what children know about counting and operations, spatial relations, measurement and data, and patterns and algebra - Offers examples of informal documentation and assessment approaches that are embedded within classroom practice Deepen your understanding of how math is an integral part of your classroom all day, every day.
The Young and the Digital
by S. Craig WatkinsIn The Young and the Digital, S. Craig Watkins skillfully draws from more than 500 surveys and 350 in-depth interviews with young people, parents, and educators to understand how a digital lifestyle is affecting the ways youth learn, play, bond, and communicate. Timely and deeply relevant, the book covers the influence of MySpace and Facebook, the growing appetite for "anytime, anywhere" media and "fast entertainment," how online "digital gates" reinforce race and class divisions, and how technology is transforming America's classrooms. Watkins also debunks popular myths surrounding cyberpredators, Internet addiction, and social isolation. The result is a fascinating portrait, both celebratory and wary, about the coming of age of the first fully wired generation. From the Trade Paperback edition.
The Yugoslav Economic System (Routledge Revivals): The First Labor-Managed Economy in the Making
by Branko HorvatFirst published in 1976, this book traces the development of the Yugoslav economy from the end of the Second World War to the beginning of 1975, which the author argues was a highly productive era of social innovation. Drawing on personal experience of the Revolution, the Partisan Liberation War and his time as a member of the Federal Planning Board as well as a comprehensive array of written sources, the author attempts to understand the development process, compare policy proclamations with achieved results, study the theories and ideas that led a to certain policy, distinguish the economic and political ingredients in decision making and analyses the causes of success and failure.
The Zakharov System and its Soliton Solutions
by Boling Guo Zaihui Gan Linghai Kong Jingjun ZhangThis book focuses on the theory of the Zakharov system in the context of plasma physics. It has been over 40 years since the system was first derived by V. E. Zakharov - and in the course of those decades, many innovative achievements with major impacts on other research fields have been made. The book represents a first attempt to highlight the mathematical theories that are most important to researchers, including the existence and unique problems, blow-up, low regularity, large time behavior and the singular limit. Rather than attempting to examine every aspect of the Zakharov system in detail, it provides an effective road map to help readers access the frontier of studies on this system.
The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures across Dimensions
by Clifford A. PickoverHumanity's love affair with mathematics and mysticism reached a critical juncture, legend has it, on the back of a turtle in ancient China. As Clifford Pickover briefly recounts in this enthralling book, the most comprehensive in decades on magic squares, Emperor Yu was supposedly strolling along the Yellow River one day around 2200 B.C. when he spotted the creature: its shell had a series of dots within squares. To Yu's amazement, each row of squares contained fifteen dots, as did the columns and diagonals. When he added any two cells opposite along a line through the center square, like 2 and 8, he always arrived at 10. The turtle, unwitting inspirer of the ''Yu'' square, went on to a life of courtly comfort and fame. Pickover explains why Chinese emperors, Babylonian astrologer-priests, prehistoric cave people in France, and ancient Mayans of the Yucatan were convinced that magic squares--arrays filled with numbers or letters in certain arrangements--held the secret of the universe. Since the dawn of civilization, he writes, humans have invoked such patterns to ward off evil and bring good fortune. Yet who would have guessed that in the twenty-first century, mathematicians would be studying magic squares so immense and in so many dimensions that the objects defy ordinary human contemplation and visualization? Readers are treated to a colorful history of magic squares and similar structures, their construction, and classification along with a remarkable variety of newly discovered objects ranging from ornate inlaid magic cubes to hypercubes. Illustrated examples occur throughout, with some patterns from the author's own experiments. The tesseracts, circles, spheres, and stars that he presents perfectly convey the age-old devotion of the math-minded to this Zenlike quest. Number lovers, puzzle aficionados, and math enthusiasts will treasure this rich and lively encyclopedia of one of the few areas of mathematics where the contributions of even nonspecialists count.
The cult of statistical significance
by Stephen T. Ziliak Deirdre N. MccloskeyThe Cult of Statistical Significance shows, field by field, how “statistical significance,” a technique that dominates many sciences, has been a huge mistake. The authors find that researchers in a broad spectrum of fields, from agronomy to zoology, employ “testing” that doesn’t test and “estimating” that doesn’t estimate. The facts will startle the outside reader: how could a group of brilliant scientists wander so far from scientific magnitudes? This study will encourage scientists who want to know how to get the statistical sciences back on track and fulfill their quantitative promise. The book shows for the first time how wide the disaster is, and how bad for science, and it traces the problem to its historical, sociological, and philosophical roots.
The de Sitter: An Introduction to Elementary Systems and Modeling the Dark Energy Universe (Synthesis Lectures on Mathematics & Statistics)
by Jean-Pierre Gazeau Mohammad Enayati Hamed Pejhan Anzhong WangThis book reviews the construction of elementary systems living in de Sitter (dS) spacetime, in both the classical and quantum senses. Field theories on dS spacetime are among the most studied mathematical models of the Universe, whether for its earlier period (inflationary phase) or for its current phase of expansion acceleration (dark energy or cosmological constant). Classical elementary systems are Hamiltonian phase spaces, which are associated with co-adjoint orbits of the relativity group. On the other hand, quantum elementary systems are associated with (projective) unitary irreducible representations of the (possibly extended) relativity group (or one of its covering). This study emphasizes the conceptual issues arising in the formulation of such systems and discusses known results in a mathematically rigorous way. Particular attention is paid to: “smooth” transition from classical to quantum theory; physical content under vanishing curvature, from the point of view of a local (“tangent”) Minkowskian observer; and thermal interpretation (on the quantum level), in the sense of the Gibbons-Hawking temperature. Such a mathematical construction is of paramount importance to the understanding of the early Universe (due to the critical role that the dS metric plays in the inflationary cosmological scenarii) as well as to the construction of possible models for late-time cosmology (since a small positive cosmological constant or dark energy seems to be required by recent data). In this sense, this book uniquely blends mathematical physics (spacetime symmetry on classical and quantum levels) and theoretical physics (quantization, quantum field theory, and cosmology). Moreover, the level of exposition varies in different parts of the book so that both experts and beginners alike can utilize the book.
The de Sitter: An Introduction to Elementary Systems and Modeling the Dark Energy Universe (Synthesis Lectures on Mathematics & Statistics)
by Jean-Pierre Gazeau Mohammad Enayati Hamed Pejhan Anzhong WangThis Second Edition is a comprehensive update, integrating the latest research and theoretical advancements in the field of de Sitter (dS) group representations. Building on the success of the first edition, the book offers a more in-depth analysis of mathematical aspects, conceptual foundations, and practical implications related to the dS group, including its Lie manifold, Lie algebra, and co-adjoint orbits, viewing the latter as potential classical elementary systems within the context of dS spacetime. Additionally, the examination of unitary irreducible representations (UIRs) sheds light on the potential existence of quantum elementary systems within the dS spacetime framework. The authors emphasize consistency with Wigner's approach to elementary systems, incorporate Wigner's principles and exploring projective UIRs of the dS group, and provide a deeper insight into the nature of dS elementary systems. Particular attention is paid to: the “smooth” transition from classical to quantum theory, the physical content under vanishing curvature, and the thermal interpretation from a quantum perspective. The book also focuses on the physical interpretation of elementary systems in curved spacetimes, recognizing the limitations of traditional concepts derived from flat Minkowski spacetime and the Poincaré group.
The everything Guide to Algebra
by Christopher MonahanWhether you need help solving equations or determining the slope of a line, this guide gives you the tools you need to find your answers! Beginning with the basics, you will learn and practice all the skills needed to enhance your algebra expertise. This comprehensive guide covers all the key concepts, including: Variables and expressions Linear equations and inequalities Monomials and polynomials Exponents Rational expressions The Pythagorean theorem Area and perimeter Graphs and charts Inside you'll find hundreds of examples to illustrate the basics and plenty of exercises to ensure mastery of these fundamentals. No matter if you're a student looking for a companion to your textbook, or a curious learner who's been away from the classroom too long, this will be your indispensable algebra primer.
The p-adic Simpson Correspondence
by Ahmed Abbes Michel Gros Takeshi TsujiThe p-adic Simpson correspondence, recently initiated by Gerd Faltings, aims at describing all p-adic representations of the fundamental group of a proper smooth variety over a p-adic field in terms of linear algebra--namely Higgs bundles. This book undertakes a systematic development of the theory following two new approaches, one by Ahmed Abbes and Michel Gros, the other by Takeshi Tsuji. The authors mainly focus on generalized representations of the fundamental group that are p-adically close to the trivial representation.The first approach relies on a new family of period rings built from the torsor of deformations of the variety over a universal p-adic thickening defined by J. M. Fontaine. The second approach introduces a crystalline-type topos and replaces the notion of Higgs bundles with that of Higgs isocrystals. The authors show the compatibility of the two constructions and the compatibility of the correspondence with the natural cohomologies. The last part of the volume contains results of wider interest in p-adic Hodge theory. The reader will find a concise introduction to Faltings' theory of almost étale extensions and a chapter devoted to the Faltings topos. Though this topos is the general framework for Faltings' approach in p-adic Hodge theory, it remains relatively unexplored. The authors present a new approach based on a generalization of P. Deligne's covanishing topos.
The sine-Gordon Model and its Applications
by Jesús Cuevas-Maraver Panayotis G. Kevrekidis Floyd WilliamsThe sine-Gordon model is a ubiquitous model of Mathematical Physics with a wide range of applications extending from coupled torsion pendula and Josephson junction arrays to gravitational and high-energy physics models. The purpose of this book is to present a summary of recent developments in this field, incorporating both introductory background material, but also with a strong view towards modern applications, recent experiments, developments regarding the existence, stability, dynamics and asymptotics of nonlinear waves that arise in the model. This book is of particular interest to a wide range of researchers in this field, but serves as an introductory text for young researchers and students interested in the topic. The book consists of well-selected thematic chapters on diverse mathematical and physical aspects of the equation carefully chosen and assigned.
Their Arrows Will Darken the Sun: The Evolution and Science of Ballistics
by Mark DennyThe science of ballistics has a long history and starts with one question: How does a projectile move through the air? Even before physicists worked that one out, military engineers had been tinkering with ballistic devices for centuries. The trebuchet of the Middle Ages has given way to rocket power, and the science of ballistics has evolved to match the technology. Mark Denny’s survey covers this dynamic subject from prehistory to the weapons of tomorrow.Taking the bang-whiz-thud approach, Denny first talks about internal ballistics—Bang!—from before gunpowder to the development of modern firearms. External ballistics—Whiz!—are next, with discussions about short- and long-range trajectories. Denny’s lesson ends with a Thud!—an explanation of terminal ballistics. Throughout, Denny conveys applicable physics principles in a way that will appeal to technology buffs and ballistics enthusiasts alike. His fun and factual explanations are free of complicated equations; notes cover the key aspects of ballistics physics for the more technically inclined. Denny has perfected this engaging balance of science and story. For study or hobby, Their Arrows Will Darken the Sun is an entertaining guide to the world of ballistics.
Themes from Weir: A Celebration of the Philosophy of Alan Weir (Synthese Library #484)
by Adam Rieger Stephan LeuenbergerThis book celebrates and explores some philosophical issues raised by the work of Alan Weir, who is Professor Emeritus at the University of Glasgow, having previously held positions at the Universities of Oxford, Edinburgh and Queen’s, Belfast. In a number of areas, Weir has elaborated strikingly original views which involve a radical departure from the mainstream. These include formalism in the philosophy of mathematics, and as well as naïve set theory, with a universal set, and a naïve theory of truth. In contrast to other contemporary defenders of the latter two theories, Weir rejects dialetheism and accepts classical rules for the logical connectives. He avoids contradictions by restricting certain structural inference rules, specifically some generalized versions of transitivity. In addition, Weir has developed radical versions of naturalism and physicalism (partly informed by his work on Quine) and perceptual realism. This collection includes contributions by a distinguished group of philosophers on Weir’s philosophy, as well as a memoir and a new essay on the philosophy of mathematics by Weir himself.
Themes in Economic Analysis: Theory, policy and measurement
by S. Subramanian Subrata Guha Rajendra Prasad KunduThis book covers diverse themes, including institutions and efficiency, choice and values, law and economics, development and policy, and social and economic measurement. Written in honour of the distinguished economist Satish K. Jain, this compilation of essays should appeal not only to students and researchers of economic theory but also to those interested in the design and evaluation of institutions and policy.
Theorems for Electrical Circuits: Theory and Solved Problems (Lecture Notes in Electrical Engineering #485)
by Alfonso Bachiller Soler Miguel Angel González Cagigal Ramón Cano GonzálezThis book focuses on the practical application of specific theorems in solving electrical circuits. Specifically, it covers the theorems of Superposition, Thevenin, Norton, and Maximum Power Transfer. The theory is kept concise, yet all the necessary concepts are explained, and plentiful problems are solved in detail. A vast amount of figures is used for a more effective learning. All in all, this book helps undergraduate and graduate students to develop the necessary skills to solve a broad range of transient exercises. It offers a unique complementary text to classical electric circuit textbooks, for students and self-study, as well.
Theorems of Leray-Schauder Type And Applications
by Radu PrecupThis volume presents a systematic and unified treatment of Leray-Schauder continuation theorems in nonlinear analysis. In particular, fixed point theory is established for many classes of maps, such as contractive, non-expansive, accretive, and compact maps, to name but a few. This book also presents coincidence and multiplicity results. Many appli
Theorems of the 21st Century: Volume I
by Bogdan GrechukThis book consists of short descriptions of 106 mathematical theorems, which belong to the great achievements of 21st century mathematics but require relatively little mathematical background to understand their formulation and appreciate their importance. The selected theorems of this volume, chosen from the famous Annals of Mathematics journal, cover a broad range of topics from across mathematics. Each theorem description is essentially self-contained, can be read independently of the others, and requires as little preliminary knowledge as possible. Although the sections often start with an informal discussion and toy examples, all the necessary definitions are included and each description culminates in the precise formulation of the corresponding theorem. Filling the gap between surveys written for mathematicians and popular mathematics, this book is intended for readers with a keen interest in contemporary mathematics.
Theoremus: A Student's Guide to Mathematical Proofs
by Lito Perez CruzA compact and easily accessible book, it guides the reader in unravelling the apparent mysteries found in doing mathematical proofs. Simply written, it introduces the art and science of proving mathematical theorems and propositions and equips students with the skill required to tackle the task of proving mathematical assertions. Theoremus - A Student's Guide to Mathematical Proofs is divided into two parts. Part 1 provides a grounding in the notion of mathematical assertions, arguments and fallacies and Part 2, presents lessons learned in action by applying them into the study of logic itself. The book supplies plenty of examples and figures, gives some historical background on personalities that gave rise to the topic and provides reflective problems to try and solve. The author aims to provide the reader with the confidence to take a deep dive into some more advanced work in mathematics or logic.
Theoretical Analyses of Commodity Tax in an Oligopolistic Market (New Frontiers in Regional Science: Asian Perspectives #57)
by Minoru Kunizaki Kazuyuki Nakamura Naoki KakitaThis book presents a comprehensive analysis of tax consequences in an oligopolistic market. It provides the reader with a systematic and precise way of understanding the research content of tax incidence. A major feature of the book is its analysis of tax incidence from both domestic and international oligopolies. Then, by examining various oligopoly models, it approaches the essence of domestic and multilateral tax issues. Starting with the general theory of commodity tax incidence in an oligopoly, the topics addressed in this book include tax reform, environmental regulation, and policy coordination in international oligopolies. In addition to the usual oligopoly model, managerial oligopoly, the public pricing problem for firms in an oligopoly, and mixed oligopoly are dealt with. By presenting individual issues and explaining the relevance of each topic, this book is highly recommended for readers interested in policymaking and the global market in relation to the interdisciplinary developments of public economics, regional economics, and international economics. This book is also valuable as an advanced textbook on applied economics.
Theoretical Aspects of Computing – ICTAC 2019: 16th International Colloquium, Hammamet, Tunisia, October 31 – November 4, 2019, Proceedings (Lecture Notes in Computer Science #11884)
by Mohamed Mosbah Robert Mark HieronsThis book constitutes the refereed proceedings of the 16th International Colloquium on Theoretical Aspects of Computing, ICTAC 2019, held in Hammamet, Tunisia, in October/November 2019.The 17 revised full papers presented together with 2 keynote papers and 1 industrial paper were carefully reviewed and selected from 138 submissions.The papers are grouped in topical sections on models and transition systems; real-time and temporal logics; verification and concurrency; privacy and security; equations, types, and programming languages.
Theoretical Aspects of Spatial-Temporal Modeling
by Gareth William Peters Tomoko MatsuiThis book provides a modern introductory tutorial on specialized theoretical aspects of spatial and temporal modeling. The areas covered involve a range of topics which reflect the diversity of this domain of research across a number of quantitative disciplines. For instance, the first chapter provides up-to-date coverage of particle association measures that underpin the theoretical properties of recently developed random set methods in space and time otherwise known as the class of probability hypothesis density framework (PHD filters). The second chapter gives an overview of recent advances in Monte Carlo methods for Bayesian filtering in high-dimensional spaces. In particular, the chapter explains how one may extend classical sequential Monte Carlo methods for filtering and static inference problems to high dimensions and big-data applications. The third chapter presents an overview of generalized families of processes that extend the class of Gaussian process models to heavy-tailed families known as alpha-stable processes. In particular, it covers aspects of characterization via the spectral measure of heavy-tailed distributions and then provides an overview of their applications in wireless communications channel modeling. The final chapter concludes with an overview of analysis for probabilistic spatial percolation methods that are relevant in the modeling of graphical networks and connectivity applications in sensor networks, which also incorporate stochastic geometry features.
Theoretical Atomic Physics
by Harald FriedrichThis expanded and updated well-established textbook contains an advanced presentation of quantum mechanics adapted to the requirements of modern atomic physics. It includes topics of current interest such as semiclassical theory, chaos, atom optics and Bose-Einstein condensation in atomic gases. In order to facilitate the consolidation of the material covered, various problems are included, together with complete solutions. The emphasis on theory enables the reader to appreciate the fundamental assumptions underlying standard theoretical constructs and to embark on independent research projects. The fourth edition of Theoretical Atomic Physics contains an updated treatment of the sections involving scattering theory and near-threshold phenomena manifest in the behaviour of cold atoms (and molecules). Special attention is given to the quantization of weakly bound states just below the continuum threshold and to low-energy scattering and quantum reflection just above. Particular emphasis is laid on the fundamental differences between long-ranged Coulombic potentials and shorter-ranged potentials falling off faster than 1/r2 at large distances r. The new sections on tunable near-threshold Feshbach resonances and on scattering in two spatial dimensions also address problems relevant for current and future research in the field of cold (and ultra-cold) atoms. Graduate students and researchers will find this book a valuable resource and comprehensive reference alike.
Theoretical Computational Dynamics
by Shih-I PaiThis book gives an introduction to the theoretical and computational fluid dynamics of a compressible fluid. It focuses on the basic assumptions and the formulation of the theory of compressible flow as well as on the methods of solving problems.
Theoretical Computer Science: 36th National Conference, NCTCS 2018, Shanghai, China, October 13–14, 2018, Proceedings (Communications in Computer and Information Science #882)
by Lian Li Kun He Pinyan LuThis book constitutes the thoroughly refereed proceedings of the National Conference of Theoretical Computer Science, NCTCS 2018, held in Shanghai, China, in October 2018. The 11 full papers presented were carefully reviewed and selected from 31 submissions. They present relevant trends of current research in the area of algorithms and complexity, software theory and method, data science and machine learning theory.