The Changing Shape Of Geometry

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The Changing Shape Of Geometry
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Author : Mathematical Association of America
language : en
Publisher: Cambridge University Press
Release Date : 2003-01-09
The Changing Shape Of Geometry written by Mathematical Association of America and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-09 with Mathematics categories.
Collection of popular articles on geometry from distinguished mathematicians and educationalists.
Teaching And Learning Geometry
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Author : Doug French
language : en
Publisher: A&C Black
Release Date : 2004-01-01
Teaching And Learning Geometry written by Doug French and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Education categories.
This fascinating title reviews the teaching and learning of school geometry from the perspective of both the new teacher and the more experienced teacher. It is designed to extend and deepen subject knowledge and to offer practical advice and ideas for the classroom in the context of current practice and research. Particular emphasis is given to the following elements: Understanding the key ideas of the geometry curriculum. Learning geometry effectively: lessons from research and current practice. Misconceptions and errors. Geometry reasoning: problem solving and proving. The role of technology in learning geometry.
Shape
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Author : Jordan Ellenberg
language : en
Publisher: Penguin
Release Date : 2021-05-25
Shape written by Jordan Ellenberg and has been published by Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-25 with Mathematics categories.
An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.
The Changing Shape Of Practice
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Author : Michael U. Hensel
language : en
Publisher: Routledge
Release Date : 2016-04-14
The Changing Shape Of Practice written by Michael U. Hensel and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-14 with Architecture categories.
Architectural practices worldwide have to deal with increasingly complex design requirements. How do practices acquire the ability to do so? The Changing Shape of Practice provides a handbook of examples for practices that wish to integrate more research into their work and a reference book for students that seek to prepare themselves for the changing shape of practice in architecture. It addresses the increasing integration of research undertaken in architectural practices of different sizes ranging from small to very large practices from the UK, USA, Europe and Asia. The book is organized according to the size of the practices which is significant in that it addresses the different structures and resourcing requirements that are enabled by specific practice sizes, as this determines and constrains the type, scope and modes of research available to a given practice. The practices covered include: Woods Bagot Perkins + Will White AECOM UN Studio Shop Architects PLP Architecture Kieran Timberlake 3XN ONL AZPML Thomas Herzog + Partners Herreros Arquitectos Spacescape OCEAN Design Research Association By taking stock of the current shape of practice, the book provides essential information for professional architects who are integrating research into their practice.
Shape
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Author : Jordan Ellenberg
language : en
Publisher: Penguin UK
Release Date : 2021-05-25
Shape written by Jordan Ellenberg and has been published by Penguin UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-25 with Mathematics categories.
The international bestseller - a whip-smart, entertaining exploration of the geometry that underlies our world, from the author of How Not to Be Wrong How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play chess? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? The answers to all these questions can be found in geometry. If you're like most people, geometry is a dimly-remembered exercise, handed down from the ancients, that you gladly left behind in school. It seemed to be a tortuous way of proving some fact about triangles that was obvious to you in the first place. That's not geometry. OK, it is geometry, but only a tiny part, that has as much to do with the modern, fast-moving discipline as conjugating a verb has to do with a great novel. In Shape, Sunday Times-bestselling author Jordan Ellenberg reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face, from the spread of coronavirus to rise of machine learning. The word 'geometry,' from the Greek, means 'measuring the world.' But geometry doesn't just measure the world - it explains it. Shape shows us how.
Shapes And Geometries
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Author : M. C. Delfour
language : en
Publisher: SIAM
Release Date : 2011-01-01
Shapes And Geometries written by M. C. Delfour and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.
Presents the latest groundbreaking theoretical foundation to shape optimization in a form accessible to mathematicians, scientists and engineers.
Changing Shapes With Matrices
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Author : Donald Cohen
language : en
Publisher: Donald Cohen
Release Date : 1995
Changing Shapes With Matrices written by Donald Cohen and has been published by Donald Cohen this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Juvenile Nonfiction categories.
The Man Who Saved Geometry
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Author : Siobhan Roberts
language : en
Publisher: Princeton University Press
Release Date : 2024-10-29
The Man Who Saved Geometry written by Siobhan Roberts and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-29 with Biography & Autobiography categories.
An illuminating biography of one of the greatest geometers of the twentieth century Driven by a profound love of shapes and symmetries, Donald Coxeter (1907–2003) preserved the tradition of classical geometry when it was under attack by influential mathematicians who promoted a more algebraic and austere approach. His essential contributions include the famed Coxeter groups and Coxeter diagrams, tools developed through his deep understanding of mathematical symmetry. The Man Who Saved Geometry tells the story of Coxeter’s life and work, placing him alongside history’s greatest geometers, from Pythagoras and Plato to Archimedes and Euclid—and it reveals how Coxeter’s boundless creativity reflects the adventurous, ever-evolving nature of geometry itself. With an incisive, touching foreword by Douglas R. Hofstadter, The Man Who Saved Geometry is an unforgettable portrait of a visionary mathematician.
Geometry And Symmetry
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Author : L. Christine Kinsey
language : en
Publisher: John Wiley & Sons
Release Date : 2010-04-19
Geometry And Symmetry written by L. Christine Kinsey and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-19 with Mathematics categories.
This new book for mathematics and mathematics education majors helps students gain an appreciation of geometry and its importance in the history and development of mathematics. The material is presented in three parts. The first is devoted to a rigorous introduction of Euclidean geometry, the second covers various noneuclidean geometries, and the last part delves into symmetry and polyhedra. Historical contexts accompany each topic. Exercises and activities are interwoven with the text to enable the students to explore geometry. Some of the activities take advantage of geometric software so students - in particular, future teachers - gain a better understanding of its capabilities. Others explore the construction of simple models or use manipulatives allowing students to experience the hands-on, creative side of mathematics. While this text contains a rigorous mathematical presentation, key design features and activities allow it to be used successfully in mathematics for teachers courses as well.
An Essay On The Foundations Of Geometry
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Author : Bertrand Russell
language : en
Publisher: DigiCat
Release Date : 2022-08-15
An Essay On The Foundations Of Geometry written by Bertrand Russell and has been published by DigiCat this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-15 with Fiction categories.
In 'An Essay on the Foundations of Geometry,' Bertrand Russell meticulously explores the conceptual underpinnings that form the basis of geometric principles. This seminal work delves into the philosophical implications of geometry and its intrinsic relationship with the nature of space and mathematical reasoning, marking a crucial chapter in the evolution of the field and setting the stage for subsequent existential inquiries. Written in a lucid and contemplative style, Russell invites readers to consider the symbiosis between epistemological studies and mathematical abstractions, thereby framing geometry in a broader intellectual landscape and offering insights that ripple far beyond pure mathematics into logic and the philosophy of science. Bertrand Russell stands as a colossus in both philosophy and mathematics. His prodigious intellect and analytical prowess enabled him to scrutinize and dismantle the fundamental assumptions of geometry, a journey potentially rooted in his arduous pursuit of clarity and precision across disciplines. Russell's academic background, coupled with his fervent philosophical endeavors, equipped him with the unique perspective necessary to produce this work, amalgamating rigorous logical analysis with profound philosophical discourse. Readers with interests in philosophy, mathematics, or the history of science will find 'An Essay on the Foundations of Geometry' a compelling read. Russell's capacity to translate complex theoretical concepts into accessible narrative rewards the diligent reader with an enriched understanding of geometry's foundational aspects and sheds light on how we comprehend the world around us. This work is a testament to the power of interdisciplinary scholarship and retains its significance as an illuminating force in the interface between mathematics and philosophy.