Get A Participatory Approach to Modern Geometry PDF

By Jay Kappraff

ISBN-10: 981455670X

ISBN-13: 9789814556705

This booklet goals to make the topic of geometry and its purposes effortless and comfy to appreciate via scholars majoring in arithmetic or the liberal arts, structure and layout. it may be used to educate scholars at diversified degrees of computational skill and there's additionally enough novel fabric to curiosity scholars at the next cognitive point. whereas the booklet is going deeply into the functions of geometry, it comprises a lot introductory fabric which prior to now won't were recognized to the scholar. The confident technique utilizing compass and straightedge engages scholars, not only on an highbrow point, but additionally at a tactile point. this can be the one rigorous ebook supplying geometry that makes an attempt to interact scholars outdoor of the math discipline.Contents:

  • Triangle and sq. Grids
  • The Pythagorean Theorem
  • Scan changing of a Line Segment
  • Compass and Straightedge structures (Part 1: the area inside of a Triangle)
  • Congruent Triangles
  • Introduction to Trigonometry
  • The paintings of Proof
  • Angle
  • Voronoi Domains
  • Parallel Lines
  • Bracing a Framework
  • Similarity
  • Compass and Straightedge structures (Part 2: Doing Algebra with Geometry)
  • Area
  • Vectors and Geoboards
  • Logarithmic Spirals
  • The Golden and Silver Means
  • Isometries
  • Isometries and Mirrors
  • Kaleidoscopes and Symmetry
  • Groups and Kaleidoscope Symmetry
  • Frieze Patterns
  • An creation to Fractals
  • Isometries and Matrices

Readership: Undergraduate scholars of any self-discipline attracted to enhancing their visible figuring out in geometry.
Key Features:

  • Engages the scholar in hands-on actions utilizing compass, straightedge, and protractor. In conversing approximately components and vectors, geoboards are used. an immense fractal wallhanging is developed utilizing the iterative functionality approach. Compass and straightedge is used to create magnificent patterns
  • There are many novel issues no longer coated in different books on geometry equivalent to logarithmic spirals, Voronoi domain names with software to trend reputation, parallel traces with program to bracing a framework, fractals, kaleidocopes, an creation to team theory
  • Projective geometry is brought at a confident point. the scholar is engaged in conducting thirteen primary buildings of projective geometry. by way of targeting projective geometry, the houses of Euclidean geometry develop into extra comprehensible — together with the character of infinity and the which means of parallel lines

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A Participatory Approach to Modern Geometry by Jay Kappraff

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