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Shapes, Space, and Symmetry

Shapes, Space, and Symmetry PDF Author: Alan Holden
Publisher: Courier Corporation
ISBN: 9780486268514
Category : Mathematics
Languages : en
Pages : 218

Book Description
Explains structure of nine regular solids and many semiregular solids and demonstrates how they can be used to explain mathematics. Instructions for cardboard models. Over 300 illustrations. 1971 edition.

Shapes, Space, and Symmetry

Shapes, Space, and Symmetry PDF Author: Alan Holden
Publisher: Courier Corporation
ISBN: 9780486268514
Category : Mathematics
Languages : en
Pages : 218

Book Description
Explains structure of nine regular solids and many semiregular solids and demonstrates how they can be used to explain mathematics. Instructions for cardboard models. Over 300 illustrations. 1971 edition.

Symmetry, Shape and Space

Symmetry, Shape and Space PDF Author: L.Christine Kinsey
Publisher: Springer Science & Business Media
ISBN: 9781930190092
Category : Mathematics
Languages : en
Pages : 524

Book Description
This book will appeal to at least three groups of readers: prospective high school teachers, liberal arts students, and parents whose children are studying high school or college math. It is modern in its selection of topics, and in the learning models used by the authors. The book covers some exciting but non-traditional topics from the subject area of geometry. It is also intended for undergraduates and tries to engage their interest in mathematics. Many innovative pedagogical modes are used throughout.

The Shape of Space

The Shape of Space PDF Author: Jeffrey R. Weeks
Publisher: CRC Press
ISBN: 0203912667
Category : Mathematics
Languages : en
Pages : 405

Book Description
Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.

The Universe in the Rearview Mirror

The Universe in the Rearview Mirror PDF Author: Dave Goldberg
Publisher: Penguin
ISBN: 0142181048
Category : Science
Languages : en
Pages : 354

Book Description
“A great read… Goldberg is an excellent guide.”—Mario Livio, bestselling author of The Golden Ratio Physicist Dave Goldberg speeds across space, time and everything in between showing that our elegant universe—from the Higgs boson to antimatter to the most massive group of galaxies—is shaped by hidden symmetries that have driven all our recent discoveries about the universe and all the ones to come. Why is the sky dark at night? If there is anti-matter, can there be anti-people? Why are past, present, and future our only options? Saluting the brilliant but unsung female mathematician Emmy Noether as well as other giants of physics, Goldberg answers these questions and more, exuberantly demonstrating that symmetry is the big idea—and the key to what lies ahead.

Number, Shape, & Symmetry

Number, Shape, & Symmetry PDF Author: Diane L. Herrmann
Publisher: CRC Press
ISBN: 1466554649
Category : Mathematics
Languages : en
Pages : 446

Book Description
Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors’ successful work with undergraduate students at the University of Chicago, seventh to tenth grade mathematically talented students in the University of Chicago’s Young Scholars Program, and elementary public school teachers in the Seminars for Endorsement in Science and Mathematics Education (SESAME). The first half of the book focuses on number theory, beginning with the rules of arithmetic (axioms for the integers). The authors then present all the basic ideas and applications of divisibility, primes, and modular arithmetic. They also introduce the abstract notion of a group and include numerous examples. The final topics on number theory consist of rational numbers, real numbers, and ideas about infinity. Moving on to geometry, the text covers polygons and polyhedra, including the construction of regular polygons and regular polyhedra. It studies tessellation by looking at patterns in the plane, especially those made by regular polygons or sets of regular polygons. The text also determines the symmetry groups of these figures and patterns, demonstrating how groups arise in both geometry and number theory. The book is suitable for pre-service or in-service training for elementary school teachers, general education mathematics or math for liberal arts undergraduate-level courses, and enrichment activities for high school students or math clubs.

Shape and Space

Shape and Space PDF Author:
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 0

Book Description


The Shape of Inner Space

The Shape of Inner Space PDF Author: Shing-Tung Yau
Publisher: Il Saggiatore
ISBN: 0465020232
Category : Mathematics
Languages : en
Pages : 398

Book Description
The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.

Indra's Pearls

Indra's Pearls PDF Author: David Mumford
Publisher: Cambridge University Press
ISBN: 9780521352536
Category : Computers
Languages : en
Pages : 422

Book Description
Felix Klein, one of the great nineteenth-century geometers, rediscovered in mathematics an idea from Eastern philosophy: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries. For a century these ideas barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing programs that generate the images. Others can see how the images relate to ideas at the forefront of research.

Introduction to the Geometry of N Dimensions

Introduction to the Geometry of N Dimensions PDF Author: D. M.Y. Sommerville
Publisher: Courier Dover Publications
ISBN: 0486842487
Category : Mathematics
Languages : en
Pages : 224

Book Description
Classic exploration of topics of perennial interest to geometers: fundamental ideas of incidence, parallelism, perpendicularity, angles between linear spaces, polytopes. Examines analytical geometry from projective and analytic points of view. 1929 edition.

Shape and Space

Shape and Space PDF Author: J. Moore
Publisher: Key Curriculum Press
ISBN: 9781902361130
Category : Geometry
Languages : en
Pages : 48

Book Description