Treks Into Intuitive Geometry
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Treks Into Intuitive Geometry
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Author : J. Akiyama
language : en
Publisher: Springer Nature
Release Date : 2024
Treks Into Intuitive Geometry written by J. Akiyama and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Geometry categories.
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.
New Trends In Intuitive Geometry
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Author : Gergely Ambrus
language : en
Publisher: Springer
Release Date : 2018-11-03
New Trends In Intuitive Geometry written by Gergely Ambrus and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-03 with Mathematics categories.
This volume contains 17 surveys that cover many recent developments in Discrete Geometry and related fields. Besides presenting the state-of-the-art of classical research subjects like packing and covering, it also offers an introduction to new topological, algebraic and computational methods in this very active research field. The readers will find a variety of modern topics and many fascinating open problems that may serve as starting points for research.
Intuitive Geometry
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Author : Imre Bárány
language : en
Publisher:
Release Date : 1997
Intuitive Geometry written by Imre Bárány and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Geometry categories.
Geometry Intuition And Concepts
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Author : Jost-Hinrich Eschenburg
language : en
Publisher: Springer Nature
Release Date : 2022-10-31
Geometry Intuition And Concepts written by Jost-Hinrich Eschenburg and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-31 with Mathematics categories.
This book deals with the geometry of visual space in all its aspects. As in any branch of mathematics, the aim is to trace the hidden to the obvious; the peculiarity of geometry is that the obvious is sometimes literally before one's eyes.Starting from intuition, spatial concepts are embedded in the pre-existing mathematical framework of linear algebra and calculus. The path from visualization to mathematically exact language is itself the learning content of this book. This is intended to close an often lamented gap in understanding between descriptive preschool and school geometry and the abstract concepts of linear algebra and calculus. At the same time, descriptive geometric modes of argumentation are justified because their embedding in the strict mathematical language has been clarified. The concepts of geometry are of a very different nature; they denote, so to speak, different layers of geometric thinking: some arguments use only concepts such as point, straight line, and incidence, others require angles and distances, still others symmetry considerations. Each of these conceptual fields determines a separate subfield of geometry and a separate chapter of this book, with the exception of the last-mentioned conceptual field "symmetry", which runs through all the others: - Incidence: Projective geometry - Parallelism: Affine geometry - Angle: Conformal Geometry - Distance: Metric Geometry - Curvature: Differential Geometry - Angle as distance measure: Spherical and Hyperbolic Geometry - Symmetry: Mapping Geometry. The mathematical experience acquired in the visual space can be easily transferred to much more abstract situations with the help of the vector space notion. The generalizations beyond the visual dimension point in two directions: Extension of the number concept and transcending the three illustrative dimensions. This book is a translation of the original German 1st edition Geometrie – Anschauung und Begriffe by Jost-Hinrich Eschenburg, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2020. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.
Intuitive Geometry
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Author : K. Böröczky
language : en
Publisher:
Release Date : 1987
Intuitive Geometry written by K. Böröczky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Intuitive Geometry Drawing With Overlapping Circles 2nd Edition
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Author : Nathalie Strassburg
language : en
Publisher: Nathalie Strassburg
Release Date :
Intuitive Geometry Drawing With Overlapping Circles 2nd Edition written by Nathalie Strassburg and has been published by Nathalie Strassburg this book supported file pdf, txt, epub, kindle and other format this book has been release on with Art categories.
The Intuitive Geometry method is a basic set of principles for using overlapping circles to create and design anything. The method includes the circle, square, triangle, hexagon, pentagon, spirals, waves, and scaling. The 2nd Edition of the book includes more detailed step by step instructions for the Intuitive Geometry method, ten examples of applying the method with detailed step by step instructions, and forty artworks to showcase the Intuitive Geometry method. The ten examples are: Bees, Butterflies, Flowers (3 fold), Flowers (4 fold), Flowers (5 fold), Human Body, Human Eye, Human Face, Snowflakes, and Spiders. For more information visit www.nathaliestrassburg.com.
Intuitive Geometry
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Author : Grace Ray West
language : en
Publisher:
Release Date : 1925
Intuitive Geometry written by Grace Ray West and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1925 with Geometry categories.
Work Book In Intuitive Geometry
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Author : William Betz
language : en
Publisher:
Release Date : 1928
Work Book In Intuitive Geometry written by William Betz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1928 with Geometry categories.
Studies In Mathematics
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Author :
language : en
Publisher:
Release Date : 1961
Studies In Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.
Explorations In Geometry
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Author : Bruce Shawyer
language : en
Publisher: World Scientific Publishing Company
Release Date : 2010-03-17
Explorations In Geometry written by Bruce Shawyer and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-17 with Mathematics categories.
This book covers the basic topics in geometry (including trigonometry) that are accessible and valuable to senior high school and university students. It also includes materials that are very useful for problem solving in mathematical competitions, from relatively easy to advanced levels, including the International Mathematical Olympiad.