A Journey Through The Wonders Of Plane Geometry
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A Journey Through The Wonders Of Plane Geometry
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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2025-01-24
A Journey Through The Wonders Of Plane Geometry written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-24 with Mathematics categories.
Geometry is one of the most beautiful aspects of mathematics. This beauty is because you can 'see' geometry at work. Most people are exposed to the very basic elements of geometry throughout their schooling with the most concentrated study in the secondary school curriculum. High schools in the United States offer one year of concentrated study of geometry that shows students how a mathematician functions, since everything that is accepted beyond the basic axioms must be proved. Unfortunately, as the course is only one year long, there is still very much in geometry left unexplored for the general audience. That is the challenge of this book, in which we will present a plethora of amazing geometric relationships.We begin with the special relationships of the Golden Ratio, before considering unexpected concurrencies and collinearities. Next, we present some surprising results that arise when squares and similar triangles are placed on triangle sides, followed by a discussion of concyclic points and the relationships between circles and various linear figures. Moving on to more advanced aspects of linear geometry, we consider the geometric wonders of polygons. Finally, we address geometric surprises and fallacies, before concluding with a chapter on the useful concept of homothety, which is not included in the American year-long course in geometry.
Geometric Gems An Appreciation For Geometric Curiosities Volume Ii The Wonders Of Quadrilaterals
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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2025-01-17
Geometric Gems An Appreciation For Geometric Curiosities Volume Ii The Wonders Of Quadrilaterals written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-17 with Mathematics categories.
Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on at school. The quadrilateral, one of the basic instruments in geometry, has a plethora of unexpected curiosities. The authors present these in an easily understood fashion, requiring nothing more than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.The book is intended to be widely appreciated by a general audience, and their love for geometry should be greatly enhanced through exploring these many unexpected relationships in geometry. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating quadrilateral properties.
Geometric Gems
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Author : ALFRED S. GERETSCHLAGER POSAMENTIER (ROBERT.)
language : en
Publisher: World Scientific
Release Date : 2024
Geometric Gems written by ALFRED S. GERETSCHLAGER POSAMENTIER (ROBERT.) and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with categories.
Geometric Gems An Appreciation For Geometric Curiosities Volume Iii The Wonders Of Circles
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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2025-02-14
Geometric Gems An Appreciation For Geometric Curiosities Volume Iii The Wonders Of Circles written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-14 with Mathematics categories.
Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on at school. The circle, one of the basic aspects of geometry, has a plethora of unexpected curiosities, which the authors present in an easily understandable fashion requiring nothing more than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.The book is intended to be widely appreciated by a general readership, whose love for geometry should be greatly enhanced through exploring these many unexpected relationships. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating circle properties.
Journey Into Geometries
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Author : Marta Sved
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-07-31
Journey Into Geometries written by Marta Sved and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-31 with Mathematics categories.
Integrating Literature In The Content Areas
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Author : Sharon Kane
language : en
Publisher: Taylor & Francis
Release Date : 2017-05-12
Integrating Literature In The Content Areas written by Sharon Kane and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-12 with Education categories.
This practical, accessible resource will help future and practicing teachers integrate literature into their middle school or high school classrooms, while also addressing content area standards and improving the literacy skills of their students. Two introductory chapters are followed by five chapters that each cover a different genre: Chapter 3, Informational Books; Chapter 4, Fiction; Chapter 5, Biography, Autobiography, and Memoir; Chapter 6, Poetry; and Chapter 7, How-to and Hands-on Books. Each genre chapter consists of four parts: Part 1: Discusses the genre and how content area teachers can use books within that genre to further content learning and enhance literacy skills. Part 2: Offers hands-on instructional strategies and activities using literature, with activities for use in a variety of disciplines. Part 3: Presents individual author studies (three or four per chapter) with bibliographies and guidelines for using the authors' books in content area courses. Part 4: Features an annotated bibliography of specially selected children and young adult literature for that genre, organized by content area. The annotations provide information about the book, which can be used to prepare booktalks, and teaching ideas for using in a specific content area. Altogether these sections contain more than 600 annotated entries tabbed by subject area, including art, English/language arts, languages and culture, math and technology, music, PE/health, science, and social studies/history.
The Fourth Dimension And Non Euclidean Geometry In Modern Art Revised Edition
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Author : Linda Dalrymple Henderson
language : en
Publisher: MIT Press
Release Date : 2018-05-18
The Fourth Dimension And Non Euclidean Geometry In Modern Art Revised Edition written by Linda Dalrymple Henderson and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-18 with Art categories.
The long-awaited new edition of a groundbreaking work on the impact of alternative concepts of space on modern art. In this groundbreaking study, first published in 1983 and unavailable for over a decade, Linda Dalrymple Henderson demonstrates that two concepts of space beyond immediate perception—the curved spaces of non-Euclidean geometry and, most important, a higher, fourth dimension of space—were central to the development of modern art. The possibility of a spatial fourth dimension suggested that our world might be merely a shadow or section of a higher dimensional existence. That iconoclastic idea encouraged radical innovation by a variety of early twentieth-century artists, ranging from French Cubists, Italian Futurists, and Marcel Duchamp, to Max Weber, Kazimir Malevich, and the artists of De Stijl and Surrealism. In an extensive new Reintroduction, Henderson surveys the impact of interest in higher dimensions of space in art and culture from the 1950s to 2000. Although largely eclipsed by relativity theory beginning in the 1920s, the spatial fourth dimension experienced a resurgence during the later 1950s and 1960s. In a remarkable turn of events, it has returned as an important theme in contemporary culture in the wake of the emergence in the 1980s of both string theory in physics (with its ten- or eleven-dimensional universes) and computer graphics. Henderson demonstrates the importance of this new conception of space for figures ranging from Buckminster Fuller, Robert Smithson, and the Park Place Gallery group in the 1960s to Tony Robbin and digital architect Marcos Novak.
Mathematics In Architecture Art Nature And Beyond
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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2025-03-07
Mathematics In Architecture Art Nature And Beyond written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-07 with Mathematics categories.
There is little opportunity in classrooms today for teachers to explore the amazing applications of mathematics outside the curriculum. This book is intended to show how mathematics manifests itself in areas that most people are unaware of. One can even revel in the history of how our number system evolved and how that has enabled us to define the beauty in mathematics as well as in art, architecture, nature, and beyond.The first two chapters of this book introduce the Fibonacci numbers and investigate their amazing relationships and applications in our general environment. The following four chapters focus on the Golden Ratio and the Golden Rectangle, exploring how they manifest all around us, often hiding in plain sight: in everything from architectural wonders such as the Taj Mahal to coin design, and from Greek vases to petal formation. We conclude our enjoyable journey through these mathematical wonders by considering conic sections and how they explain many aspects of everyday life, such as radar dishes, headlight reflectors, and whispering halls. This exposure to aspects of mathematics that are usually bypassed in the school curriculum will provide high school students, teachers, and general readers with an opportunity to truly appreciate the power and beauty of mathematics.
A Ludic Journey Into Geometric Topology
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Author : Ton Marar
language : en
Publisher: Springer Nature
Release Date : 2022-09-01
A Ludic Journey Into Geometric Topology written by Ton Marar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-01 with Mathematics categories.
This book draws on elements from everyday life, architecture, and the arts to provide the reader with elementary notions of geometric topology. Pac Man, subway maps, and architectural blueprints are the starting point for exploring how knowledge about geometry and, more specifically, topology has been consolidated over time, offering a learning journey that is both dense and enjoyable. The text begins with a discussion of mathematical models, moving on to Platonic and Keplerian theories that explain the Cosmos. Geometry from Felix Klein's point of view is then presented, paving the way to an introduction to topology. The final chapters present the concepts of closed, orientable, and non-orientable surfaces, as well as hypersurface models. Adopting a style that is both rigorous and accessible, this book will appeal to a broad audience, from curious students and researchers in various areas of knowledge to everyone who feels instigated by the power of mathematics in representing our world - and beyond.
Thus Spoke Einstein On Life And Living
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Author : V. Alexander Stefan
language : en
Publisher: Stefan University Press
Release Date : 2011-11-25
Thus Spoke Einstein On Life And Living written by V. Alexander Stefan and has been published by Stefan University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-25 with Science categories.
THUS SPOKE EINSTEIN on LIFE and LIVING Wisdom of Albert Einstein in the Context Selected, Edited, and Commented by V. Alexander STEFAN Institute for Advanced Physics Studies Stefan University