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Polygons In Our World
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Book Synopsis Polygons in Our World by : Brian Armstrong
Download or read book Polygons in Our World written by Brian Armstrong and published by The Rosen Publishing Group, Inc. This book was released on 2014-12-15 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shapes are everywhere, and understanding geometric properties is an essential part of math education. A comprehensive introduction to geometry is told through relatable narratives and real-world situations, teaching readers how to recognize geometry in everyday life. Engaging visuals and age-appropriate content work together to reinforce complex math concepts. Polygons are all around us, and readers will learn how to recognize them and their attributes after reading this exciting narrative. This volume meets CCSS Math Standard 2.G.A.1.
Book Synopsis Modeling Our World by : Michael Zeiler
Download or read book Modeling Our World written by Michael Zeiler and published by ESRI, Inc.. This book was released on 1999 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geographic data models are digital frameworks that describe the location and characteristics of things in the world around us. With a geographic information system, we can use these models as lenses to see, interpret, and analyze the infinite complexity of our natural and man-made environments. With the geodatabase, a new geographic data model introduced with ArcInfo 8, you can extend significantly the level of detail and range of accuracy with which you can model geographic reality in a database environment.
Book Synopsis Shaping Our World Guided Reading 6-Pack by :
Download or read book Shaping Our World Guided Reading 6-Pack written by and published by Teacher Created Materials. This book was released on 2019-08-15 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Polygons Around the World by : Margaret McNamara
Download or read book Polygons Around the World written by Margaret McNamara and published by Benchmark Education Company. This book was released on 2007 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn how to identify congruent polygons, similar polygons, and lines of symmetry on flags from around the world.
Book Synopsis Treks into Intuitive Geometry by : Jin Akiyama
Download or read book Treks into Intuitive Geometry written by Jin Akiyama and published by Springer. This book was released on 2015-12-04 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written in a style that uncovers the mathematical theories buried in our everyday lives such as examples from patterns that appear in nature, art, and traditional crafts, and in mathematical mechanisms in techniques used by architects. The authors believe that through dialogues between students and mathematicians, readers may discover the processes by which the founders of the theories came to their various conclusions―their trials, errors, tribulations, and triumphs. The goal is for readers to refine their mathematical sense of how to find good questions and how to grapple with these problems. Another aim is to provide enjoyment in the process of applying mathematical rules to beautiful art and design by examples that highlight the wonders and mysteries from our daily lives. To fulfill these aims, this book deals with the latest unique and beautiful results in polygons and polyhedra and the dynamism of geometrical research history that can be found around us. The term "intuitive geometry" was coined by Lászlo Fejes Tóth to refer to the kind of geometry which, in Hilbert's words, can be explained to and appeal to the "man on the street." This book allows people to enjoy intuitive geometry informally and instinctively. It does not require more than a high school level of knowledge but calls for a sense of wonder, intuition, and mathematical maturity.
Book Synopsis Encyclopedia of the World’s Biomes by :
Download or read book Encyclopedia of the World’s Biomes written by and published by Elsevier. This book was released on 2020-06-26 with total page 3542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Encyclopedia of the World’s Biomes is a unique, five volume reference that provides a global synthesis of biomes, including the latest science. All of the book's chapters follow a common thematic order that spans biodiversity importance, principal anthropogenic stressors and trends, changing climatic conditions, and conservation strategies for maintaining biomes in an increasingly human-dominated world. This work is a one-stop shop that gives users access to up-to-date, informative articles that go deeper in content than any currently available publication. Offers students and researchers a one-stop shop for information currently only available in scattered or non-technical sources Authored and edited by top scientists in the field Concisely written to guide the reader though the topic Includes meaningful illustrations and suggests further reading for those needing more specific information
Book Synopsis Treks Into Intuitive Geometry by : J. Akiyama
Download or read book Treks Into Intuitive Geometry written by J. Akiyama and published by Springer Nature. This book was released on 2024 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written in a style that uncovers the mathematical theories hidden in our daily lives, using examples of patterns that appear in nature, arts, traditional crafts, as well as mathematical mechanics in architectural techniques. The authors believe that through conversations between students and mathematicians, readers may learn about the methods used by the originators of these theoriestheir trials, errors, and triumphsin reaching their various conclusions. The goal is to help readers refine their mathematical sense in terms of formulating valuable questions and pursuing them. In addition, the book aims to provide enjoyment in the application of mathematical principles to beautiful art and design by using examples that highlight the wonders and mysteries of these works found in our daily lives. To achieve these goals, the book tackles the latest exquisite results on polygons and polyhedra and the dynamic history of geometric research found around us. The term "intuitive geometry" was coined by Lszlo Fejes Tth and refers to the kind of geometry which, in Hilbert's words, can be explained to and appeal to the "man on the street." This book enables readers to enjoy intuitive geometry informally and instinctively. It does not require more than a high school level of knowledge but calls for a sense of wonder, intuition, and mathematical maturity. In this second edition, many new results, and elegant proofs on a variety of topics have been added, enhancing the books rich content even further.
Book Synopsis Polygons Around the World by : Margaret McNamara
Download or read book Polygons Around the World written by Margaret McNamara and published by . This book was released on 2010 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Interpreting Our World by : Joseph J. Kerski
Download or read book Interpreting Our World written by Joseph J. Kerski and published by Bloomsbury Publishing USA. This book was released on 2016-10-17 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important book demonstrates why geography matters in the modern-day world through its examination of 100 moments throughout history that had a significant impact on the study of geography-literally, "writing about the earth." Geography is not simply accounts of the lands of earth and their features; it's about discovering everything there is to know about our planet. This book shows why geography is of critical importance to our world's 21st-century inhabitants through an exploration of the past and present discoveries that have been made about the earth. It pinpoints 100 moments throughout history that had a significant impact on the study of geography and the understanding of our world, including widely accepted maps of the ancient world, writings and discoveries of key thinkers and philosophers, key exploration events and findings during the Age of Discovery, the foundations of important geographic organizations, and new inventions in digital mapping today. The book begins with a clear explanation of geography as a discipline, a framework, and a way of viewing the world, followed by coverage of each of the 100 discoveries and innovations that provides sufficient background and content for readers to understand each topic. The book concludes with a concise synopsis of why it all matters and a look forward to 10 possible future discoveries in the next 50 years of geography. Students will gain a clear sense of what is truly revolutionary about geography, perhaps challenging their preconceived notion of what geography actually is, and grasp how important discoveries revolutionized not only the past but the present day as well.
Book Synopsis A Panoply of Polygons by : Claudi Alsina
Download or read book A Panoply of Polygons written by Claudi Alsina and published by American Mathematical Society. This book was released on 2023-01-30 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Panoply of Polygons presents and organizes hundreds of beautiful, surprising and intriguing results about polygons with more than four sides. (A Cornucopia of Quadrilaterals, a previous volume by the same authors, thoroughly explored the properties of four-sided polygons.) This panoply consists of eight chapters, one dedicated to polygonal basics, the next ones dedicated to pentagons, hexagons, heptagons, octagons and many-sided polygons. Then miscellaneous classes of polygons are explored (e.g., lattice, rectilinear, zonogons, cyclic, tangential) and the final chapter presents polygonal numbers (figurate numbers based on polygons). Applications, real-life examples, and uses in art and architecture complement the presentation where many proofs with a visual nature are included. A Panoply of Polygons can be used as a supplement to a high school or college geometry course. It can also be used as a source for group projects or extra-credit assignments. It will appeal, and be accessible to, anyone with an interest in plane geometry. Claudi Alsina and Roger Nelsen are, jointly and individually, the authors of thirteen previous MAA/AMS books. Those books, and this one, celebrate and illuminate the power of visualization in learning, teaching, and creating mathematics.
Book Synopsis A World of Information by : Richard Platt
Download or read book A World of Information written by Richard Platt and published by Candlewick Press. This book was released on 2017-09-28 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: Facts and figures for the curious reader. Covers more than 30 fascinating "general knowledge" topics, including shapes, tides, the solar system, and the periodic table.
Book Synopsis Mathematical Excursions to the World's Great Buildings by : Alexander J. Hahn
Download or read book Mathematical Excursions to the World's Great Buildings written by Alexander J. Hahn and published by Princeton University Press. This book was released on 2012-07-22 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: How mathematics helped build the world's most important buildings from early Egypt to the present From the pyramids and the Parthenon to the Sydney Opera House and the Bilbao Guggenheim, this book takes readers on an eye-opening tour of the mathematics behind some of the world's most spectacular buildings. Beautifully illustrated, the book explores the milestones in elementary mathematics that enliven the understanding of these buildings and combines this with an in-depth look at their aesthetics, history, and structure. Whether using trigonometry and vectors to explain why Gothic arches are structurally superior to Roman arches, or showing how simple ruler and compass constructions can produce sophisticated architectural details, Alexander Hahn describes the points at which elementary mathematics and architecture intersect. Beginning in prehistoric times, Hahn proceeds to guide readers through the Greek, Roman, Islamic, Romanesque, Gothic, Renaissance, and modern styles. He explores the unique features of the Pantheon, the Hagia Sophia, the Great Mosque of Cordoba, the Duomo in Florence, Palladio's villas, and Saint Peter's Basilica, as well as the U.S. Capitol Building. Hahn celebrates the forms and structures of architecture made possible by mathematical achievements from Greek geometry, the Hindu-Arabic number system, two- and three-dimensional coordinate geometry, and calculus. Along the way, Hahn introduces groundbreaking architects, including Brunelleschi, Alberti, da Vinci, Bramante, Michelangelo, della Porta, Wren, Gaudí, Saarinen, Utzon, and Gehry. Rich in detail, this book takes readers on an expedition around the globe, providing a deeper understanding of the mathematical forces at play in the world's most elegant buildings.
Book Synopsis How Modern Science Came Into the World by : H. F. Cohen
Download or read book How Modern Science Came Into the World written by H. F. Cohen and published by Amsterdam University Press. This book was released on 2010 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: Once upon a time 'The Scientific Revolution of the 17th century' was an innovative concept that inspired a stimulating narrative of how modern science came into the world. Half a century later, what we now know as 'the master narrative' serves rather as a strait-jacket - so often events and contexts just fail to fit in. No attempt has been made so far to replace the master narrative. H. Floris Cohen now comes up with precisely such a replacement. Key to his path-breaking analysis-cum-narrative is a vision of the Scientific Revolution as made up of six distinct yet narrowly interconnected, revolutionary transformations, each of some twenty-five to thirty years' duration. This vision enables him to explain how modern science could come about in Europe rather than in Greece, China, or the Islamic world. It also enables him to explain how half-way into the 17th century a vast crisis of legitimacy could arise and, in the end, be overcome.
Book Synopsis The World through the Lens of Mathematics by : Natali Hritonenko
Download or read book The World through the Lens of Mathematics written by Natali Hritonenko and published by CRC Press. This book was released on 2024-09-04 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hundreds of meticulously crafted mathematical problems and puzzles in this book are incorporated into fascinating stories about our world. These wor(l)d problems are grouped by their mathematical concepts such that the titles of sections and chapters combine both mathematical and applied terms, hinting at the topics covered. Detailed solutions conclude each section. Following in the success of the authors’ previous book, USA Through the Lens of Mathematics, this text contributes to the novel pedagogical call for a more multidisciplinary approach in education. The various types of questions posed in The World through the Lens of Mathematics are stimulating, entertaining, and educational. Their main objective is to provide a thorough review of the fundamental concepts of algebra and geometry, reduce mathematical anxiety, and emphasize the applicability and versatility of mathematics. Working these problems shatters the barriers between the students and mathematics by encouraging them to look at the subject from a different perspective. Students are simultaneously enriched with new knowledge of historical events, customs, and geography of countries around the world, each one of which is mentioned throughout the pages of this book.
Book Synopsis Abstract Regular Polytopes by : Peter McMullen
Download or read book Abstract Regular Polytopes written by Peter McMullen and published by Cambridge University Press. This book was released on 2002-12-12 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract regular polytopes stand at the end of more than two millennia of geometrical research, which began with regular polygons and polyhedra. They are highly symmetric combinatorial structures with distinctive geometric, algebraic or topological properties; in many ways more fascinating than traditional regular polytopes and tessellations. The rapid development of the subject in the past 20 years has resulted in a rich new theory, featuring an attractive interplay of mathematical areas, including geometry, combinatorics, group theory and topology. Abstract regular polytopes and their groups provide an appealing new approach to understanding geometric and combinatorial symmetry. This is the first comprehensive up-to-date account of the subject and its ramifications, and meets a critical need for such a text, because no book has been published in this area of classical and modern discrete geometry since Coxeter's Regular Polytopes (1948) and Regular Complex Polytopes (1974). The book should be of interest to researchers and graduate students in discrete geometry, combinatorics and group theory.
Download or read book Polygons written by Jeffrey Collins and published by . This book was released on 2021-05-11 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: POLYGONS This book is about polygons and types of the polygon. It builds upon students' knowledge of basic geometry in triangles and polygons and leads students to a better understanding of polygons and quadrilaterals and their usefulness in the world around us. With this understanding, students can have a better appreciation of their environment and of their role in its organization. This book is divided into three sections: · Section 1 covers basic definitions and the common properties of all polygons. Students study the concept of a regular polygon and are shown examples of the importance of polygons in the world around us · Section 2 looks at quadrilaterals and their specific properties · Section 3 provides a more detailed look at the properties of six special quadrilaterals (the parallelogram, rectangle, rhombus, square, trapezoid, and kite), and the similarities and differences between them. The book follows a step-by-step teaching approach and explains definitions and examples clearly, just as a teacher would explain them in the classroom. Examples and exercises are designed to encourage students to think for themselves. In addition, the text uses a variety of types of proof (paragraph, flow chart, and two-column, with explanations) to give students more practice in understanding proofs and in writing their own. At each stage of the course, students' progress can be checked through regular self-check ('Check Yourself) sections and graded exercises (see the section 'Using This Book' at the end of this preface for more information) Separate activity and project sections have also been provided, to help increase students' understanding of the topic as they study The book ends with a summary of the main points in the module, as well as review tests on all of the sections to help prepare students for examinations.
Book Synopsis To Re-Enchant the World by : Richard Grigg
Download or read book To Re-Enchant the World written by Richard Grigg and published by Xlibris Corporation. This book was released on 2004-12-20 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the seventeenth century, Western culture has been undergoing what historians and sociologists call secularization, the process via which religious institutions lose more and more of their power in society. Whereas Western society was once held together by the Christian Church, it is now held together by the rational procedures dictated by modern capitalism. But the rules of capitalism, whether ultimately helpful or harmful to our society's development, are not values or spiritual principles. Instead, they are simply technical dicta about the most efficient means to an economic end. One visible aspect of the process of secularization is the weakening, and perhaps eventual withering away, of traditional religious institutions. This process is already fully visible in Western Europe, and is evident, on a more subterranean level, in American society as well. Secularization threatens to "disenchant" the world (Max Weber), to cut us off from the sense of the sacred and of Mystery. But the withering of the old religious institutions does not mean that religion and spirituality themselves will simply disappear. Rather, they can take on new forms, as is evident in the New Age movement in American society. Yet, there is a difficulty with New Age sorts of spiritualities when compared with the old-time religion: these new spiritualities tend to be very individualistic, if not idiosyncratic. Sociologists point out that our spiritual practices will never appear fully real to us unless they have inter-subjective validity, unless they are supported by a social "plausibility structure" (Peter Berger). That is, my view of the world has the aura of reality as long as most of the people around me acknowledge that view and reinforce it. But individualistic New Age pieties seem to have no such social reinforcement underpinning them. Hence the central argument of To Re-Enchant the World: the Unitarian Universalist community accomplishes the unique task of re-enchanting the world by bringing a host of individual spiritualities into a single community where all of them are affirmed and thus granted social plausibility. The U.U. community, then, is a particularly powerful site for the re-enchantment of the world: it puts us back in touch with the sacred and with what the book labels the Mysterious Depth of reality. While Unitarian Universalists can bring many different spiritual ways into the U.U. community, five are analyzed in depth in the book, namely, humanism, a focus on nature, engagement with the arts, commitment to social justice, and devotion to a Source/Creative Abyss of the universe. The book also considers rituals common to the U.U. community and the experience of sacred space, sacred time, and sacred word in that community. Finally, To Re-Enchant the World makes some predictions about the future of Unitarian Universalism and even touches on the delicate issue of U.U. proselytizing. The book as a whole attempts to present a philosophical analysis of Unitarian Universalism that draws upon the most important intellectual currents in contemporary Western culture. The book operates with the conviction that while other American religious denominations can have their "systematic theologies," there is no reason why Unitarian Universalists cannot have philosophies of U.U. pluralism.
