Download or read book A Network Analysis of Concept Maps of Triangle Concepts written by Jin Haiyue and published by . This book was released on 2010 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics educators and mathematics standards of curriculum have emphasised the importance of constructing the interconnectedness among mathematic concepts ("conceptual understanding") instead of only the ability to carry out standard procedures in an isolated fashion. Researchers have attempted to assess the knowledge networks in students' minds. A technique that has gained popular use in science education over the past three decades is concept mapping. This paper examines students' conceptual understanding about triangle concepts using concept maps, and an analysis of the maps using degree centralities derived from social network analysis has demonstrated new insights through this novel technique. (Contains 1 figure and 3 tables.) [For the complete proceedings, "Shaping the Future of Mathematics Education. Proceedings of the Annual Conference of the Mathematics Education Research Group of Australasia (33rd, Freemantle, Western Australia, Australia, July 3-7, 2010)," see ED520764.].
Download or read book MAPPING THE TRIANGLE International Conference on Nuclear Structure written by and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Conformal Mapping written by Zeev Nehari and published by Courier Corporation. This book was released on 2012-05-23 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conformal mapping is a field in which pure and applied mathematics are both involved. This book tries to bridge the gulf that many times divides these two disciplines by combining the theoretical and practical approaches to the subject. It will interest the pure mathematician, engineer, physicist, and applied mathematician. The potential theory and complex function theory necessary for a full treatment of conformal mapping are developed in the first four chapters, so the reader needs no other text on complex variables. These chapters cover harmonic functions, analytic functions, the complex integral calculus, and families of analytic functions. Included here are discussions of Green's formula, the Poisson formula, the Cauchy-Riemann equations, Cauchy's theorem, the Laurent series, and the Residue theorem. The final three chapters consider in detail conformal mapping of simply-connected domains, mapping properties of special functions, and conformal mapping of multiply-connected domains. The coverage here includes such topics as the Schwarz lemma, the Riemann mapping theorem, the Schwarz-Christoffel formula, univalent functions, the kernel function, elliptic functions, univalent functions, the kernel function, elliptic functions, the Schwarzian s-functions, canonical domains, and bounded functions. There are many problems and exercises, making the book useful for both self-study and classroom use. The author, former professor of mathematics at Carnegie-Mellon University, has designed the book as a semester's introduction to functions of a complex variable followed by a one-year graduate course in conformal mapping. The material is presented simply and clearly, and the only prerequisite is a good working knowledge of advanced calculus.
Download or read book Conformal mapping of circular arc triangles written by Constantin Carathéodory and published by . This book was released on 1954 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Triangulated Categories written by Amnon Neeman and published by Princeton University Press. This book was released on 2001-01-23 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder of the book is devoted to new research, providing, among other material, some remarkable improvements on Brown's classical representability theorem. In addition, the author introduces a class of triangulated categories"--the "well generated triangulated categories"--and studies their properties. This exercise is particularly worthwhile in that many examples of triangulated categories are well generated, and the book proves several powerful theorems for this broad class. These chapters will interest researchers in the fields of algebra, algebraic geometry, homotopy theory, and mathematical physics.
Download or read book Multiple Realities of the Growth Triangle written by Cynthia Chou and published by . This book was released on 2006 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book It s Not Always Depression written by Hilary Jacobs Hendel and published by Random House. This book was released on 2018-02-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fascinating patient stories and dynamic exercises help you connect to healing emotions, ease anxiety and depression, and discover your authentic self. Sara suffered a debilitating fear of asserting herself. Spencer experienced crippling social anxiety. Bonnie was shut down, disconnected from her feelings. These patients all came to psychotherapist Hilary Jacobs Hendel seeking treatment for depression, but in fact none of them were chemically depressed. Rather, Jacobs Hendel found that they’d all experienced traumas in their youth that caused them to put up emotional defenses that masqueraded as symptoms of depression. Jacobs Hendel led these patients and others toward lives newly capable of joy and fulfillment through an empathic and effective therapeutic approach that draws on the latest science about the healing power of our emotions. Whereas conventional therapy encourages patients to talk through past events that may trigger anxiety and depression, accelerated experiential dynamic psychotherapy (AEDP), the method practiced by Jacobs Hendel and pioneered by Diana Fosha, PhD, teaches us to identify the defenses and inhibitory emotions (shame, guilt, and anxiety) that block core emotions (anger, sadness, fear, disgust, joy, excitement, and sexual excitement). Fully experiencing core emotions allows us to enter an openhearted state where we are calm, curious, connected, compassionate, confident, courageous, and clear. In It’s Not Always Depression, Jacobs Hendel shares a unique and pragmatic tool called the Change Triangle—a guide to carry you from a place of disconnection back to your true self. In these pages, she teaches lay readers and helping professionals alike • why all emotions—even the most painful—have value. • how to identify emotions and the defenses we put up against them. • how to get to the root of anxiety—the most common mental illness of our time. • how to have compassion for the child you were and the adult you are. Jacobs Hendel provides navigational tools, body and thought exercises, candid personal anecdotes, and profound insights gleaned from her patients’ remarkable breakthroughs. She shows us how to work the Change Triangle in our everyday lives and chart a deeply personal, powerful, and hopeful course to psychological well-being and emotional engagement.
Download or read book Fun map the Turquoise Triangle in amazing Arizona written by Turquoise Triangle Association and published by . This book was released on with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cartography written by Matthew H. Edney and published by University of Chicago Press. This book was released on 2019-04-12 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: “In his most ambitious work to date, [Edney] questions the very concept of ‘cartography’ to argue that this flawed ideal has hobbled the study of maps.” —Susan Schulten, author of A History of America in 100 Maps Over the past four decades, the volumes published in the landmark History of Cartography series have both chronicled and encouraged scholarship about maps and mapping practices across time and space. As the current director of the project that has produced these volumes, Matthew H. Edney has a unique vantage point for understanding what “cartography” has come to mean and include. In this book Edney disavows the term cartography, rejecting the notion that maps represent an undifferentiated category of objects for study. Rather than treating maps as a single, unified group, he argues, scholars need to take a processual approach that examines specific types of maps—sea charts versus thematic maps, for example—in the context of the unique circumstances of their production, circulation, and consumption. To illuminate this bold argument, Edney chronicles precisely how the ideal of cartography that has developed in the West since 1800 has gone astray. By exposing the flaws in this ideal, his book challenges everyone who studies maps and mapping practices to reexamine their approach to the topic. The study of cartography will never be the same. “[An] intellectually bracing and marvellously provocative account of how the mythical ideal of cartography developed over time and, in the process, distorted our understanding of maps.” —Times Higher Education “Cartography: The Ideal and Its History offers both a sharp critique of current practice and a call to reorient the field of map studies. A landmark contribution.” —Kären Wigen, coeditor of Time in Maps
Download or read book Maps and Survey written by Arthur Robert Hinks and published by . This book was released on 1913 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Primer on Mapping Class Groups written by Benson Farb and published by Princeton University Press. This book was released on 2012 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. A Primer on Mapping Class Groups begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichmüller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification.
Download or read book Surveying and Mapping written by and published by . This book was released on 1960 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mapping Polygons written by Yann Disser and published by Logos Verlag Berlin GmbH. This book was released on 2011 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis focuses on the exploration of polygonal environments with simple agents. The goal is to understand what minimal capabilities such agents need in order to draw a map of their environment. Starting from a very basic agent model, we investigate what extra capabilities agents need in order to reconstruct the visibility graph of their environment. Some combinations of capabilities are shown to be insufficient, while others are shown to be sufficient. For the latter, we present reconstruction algorithms and algorithms for meeting with other agents.
Download or read book Computational Science ICCS 2007 written by Yong Shi and published by Springer Science & Business Media. This book was released on 2007-05-18 with total page 1310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation The four-volume set LNCS 4487-4490 constitutes the refereed proceedings of the 7th International Conference on Computational Science, ICCS 2007, held in Beijing, China in May 2007. More than 2400 submissions were made to the main conference and its 35 topical workshops. The 80 revised full papers and 11 revised short papers of the main track were carefully reviewed and selected from 360 submissions and are presented together with 624 accepted workshop papers in four volumes. According to the ICCS 2007 theme "Advancing Science and Society through Computation" the papers cover a large volume of topics in computational science and related areas, from multiscale physics, to wireless networks, and from graph theory to tools for program development. The papers are arranged in topical sections on efficient data management, parallel monte carlo algorithms, simulation of multiphysics multiscale systems, dynamic data driven application systems, computer graphics and geometric modeling, computer algebra systems, computational chemistry, computational approaches and techniques in bioinformatics, computational finance and business intelligence, geocomputation, high-level parallel programming, networks theory and applications, collective intelligence for semantic and knowledge grid, collaborative and cooperative environments, tools for program development and analysis in CS, intelligent agents in computing systems, CS in software engineering, computational linguistics in HCI, internet computing in science and engineering, workflow systems in e-science, graph theoretic algorithms and applications in cs, teaching CS, high performance data mining, mining text, semi-structured, Web, or multimedia data, computational methods in energy economics, risk analysis, advances in computational geomechanics and geophysics, meta-synthesis and complex systems, scientific computing in electronics engineering, wireless and mobile systems, high performance networked media and services, evolution toward next generation internet, real time systems and adaptive applications, evolutionary algorithms and evolvable systems.
Download or read book The History of Cartography Volume 4 written by Matthew H. Edney and published by University of Chicago Press. This book was released on 2020-05-15 with total page 1803 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its launch in 1987, the History of Cartography series has garnered critical acclaim and sparked a new generation of interdisciplinary scholarship. Cartography in the European Enlightenment, the highly anticipated fourth volume, offers a comprehensive overview of the cartographic practices of Europeans, Russians, and the Ottomans, both at home and in overseas territories, from 1650 to 1800. The social and intellectual changes that swept Enlightenment Europe also transformed many of its mapmaking practices. A new emphasis on geometric principles gave rise to improved tools for measuring and mapping the world, even as large-scale cartographic projects became possible under the aegis of powerful states. Yet older mapping practices persisted: Enlightenment cartography encompassed a wide variety of processes for making, circulating, and using maps of different types. The volume’s more than four hundred encyclopedic articles explore the era’s mapping, covering topics both detailed—such as geodetic surveying, thematic mapping, and map collecting—and broad, such as women and cartography, cartography and the economy, and the art and design of maps. Copious bibliographical references and nearly one thousand full-color illustrations complement the detailed entries.
Download or read book Problems on Mapping Class Groups and Related Topics written by Benson Farb and published by American Mathematical Soc.. This book was released on 2006-09-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The appearance of mapping class groups in mathematics is ubiquitous. The book presents 23 papers containing problems about mapping class groups, the moduli space of Riemann surfaces, Teichmuller geometry, and related areas. Each paper focusses completely on open problems and directions. The problems range in scope from specific computations, to broad programs. The goal is to have a rich source of problems which have been formulated explicitly and accessibly. The book is divided into four parts. Part I contains problems on the combinatorial and (co)homological group-theoretic aspects of mapping class groups, and the way in which these relate to problems in geometry and topology. Part II concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geometry. A wide variety of problems, from understanding billiard trajectories to the classification of Kleinian groups, can be reduced to differential and synthetic geometry problems about moduli space. Such problems and connections are discussed in Part III. Mapping class groups are related, both concretely and philosophically, to a number of other groups, such as braid groups, lattices in semisimple Lie groups, and automorphism groups of free groups. Part IV concentrates on problems surrounding these relationships. This book should be of interest to anyone studying geometry, topology, algebraic geometry or infinite groups. It is meant to provide inspiration for everyone from graduate students to senior researchers.
Download or read book Complex Analysis written by Joseph Bak and published by Springer Science & Business Media. This book was released on 2010-08-02 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unusual and lively textbook offers a clear and intuitive approach to the classical and beautiful theory of complex variables. With very little dependence on advanced concepts from several-variable calculus and topology, the text focuses on the authentic complex-variable ideas and techniques. Accessible to students at their early stages of mathematical study, this full first year course in complex analysis offers new and interesting motivations for classical results and introduces related topics stressing motivation and technique. Numerous illustrations, examples, and now 300 exercises, enrich the text. Students who master this textbook will emerge with an excellent grounding in complex analysis, and a solid understanding of its wide applicability.
