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.
Download or read book New Trends in Intuitive Geometry written by Gergely Ambrus and published by Springer. This book was released on 2018-11-03 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Convexity from the Geometric Point of View written by Vitor Balestro and published by Springer Nature. This book was released on with total page 1195 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Intuitive Geometry written by K. Böröczky and published by . This book was released on 1987 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Discrete and Computational Geometry and Graphs written by Jin Akiyama and published by Springer. This book was released on 2016-11-24 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 18th Japanese Conference on Discrete and Computational Geometry and Graphs, JDCDGG 2015, held in Kyoto, Japan, in September 2015. The total of 25 papers included in this volume was carefully reviewed and selected from 64 submissions. The papers feature advances made in the field of computational geometry and focus on emerging technologies, new methodology and applications, graph theory and dynamics. This proceedings are dedicated to Naoki Katoh on the occasion of his retirement from Kyoto University.
Download or read book Work Book in Intuitive Geometry written by William Betz and published by . This book was released on 1928 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Intuitive Geometry written by K. Böröczky and published by North Holland. This book was released on 1994-01-01 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains research papers presented at the International Conference on Intuitive Geometry held in Szeged, 1991 as well as contributions from many prominent geometers. As a result, a broad variety of topics are covered, such as the theory of packing and covering, tiling, rigidity, combinatorial and computational geometry, convexity, geometry of numbers and classical differential geometry.This volume will surely inspire future research.
Download or read book Work Book in Intuitive Geometry Experimental Ed written by William Betz and published by . This book was released on 1928 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry Intuition and Concepts written by Jost-Hinrich Eschenburg and published by Springer Nature. This book was released on 2022-10-31 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Studies in mathematics written by and published by . This book was released on 1961 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Intuitive Geometry written by School Mathematics Study Group and published by . This book was released on 1961 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Symmetry and Pattern in Projective Geometry written by Eric Lord and published by Springer Science & Business Media. This book was released on 2012-12-14 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry and Pattern in Projective Geometry is a self-contained study of projective geometry which compares and contrasts the analytic and axiomatic methods. The analytic approach is based on homogeneous coordinates, and brief introductions to Plücker coordinates and Grassmann coordinates are presented. This book looks carefully at linear, quadratic, cubic and quartic figures in two, three and higher dimensions. It deals at length with the extensions and consequences of basic theorems such as those of Pappus and Desargues. The emphasis throughout is on special configurations that have particularly interesting symmetry properties. The intricate and novel ideas of ‘Donald’ Coxeter, who is considered one of the great geometers of the twentieth century, are also discussed throughout the text. The book concludes with a useful analysis of finite geometries and a description of some of the remarkable configurations discovered by Coxeter. This book will be appreciated by mathematics students and those wishing to learn more about the subject of geometry. It makes accessible subjects and theorems which are often considered quite complicated and presents them in an easy-to-read and enjoyable manner.
Download or read book Intuitive geometry written by Grace Ray West and published by . This book was released on 1925 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Unsolved Problems in Intuitive Geometry written by Victor Klee and published by . This book was released on 2010 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Colloquium on Intuitive Geometry written by J. Bolyai Mathematical Society and published by . This book was released on 1985 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Programmed Study of Intuitive Geometry with Applications in Metric Units written by Ed R. Wheeler and published by . This book was released on 1975 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Intuitive geometry as a basis for demonstrative geometry written by Hattie Irene Randerson and published by . This book was released on 1938 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
