Download e-book for iPad: A Participatory Approach to Modern Geometry by Jay Kappraff

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By Jay Kappraff

This e-book goals to make the topic of geometry and its functions effortless and comfy to appreciate by way of scholars majoring in arithmetic or the liberal arts, structure and layout. it may be used to coach scholars at assorted degrees of computational skill and there's additionally enough novel fabric to curiosity scholars at a better cognitive point. whereas the booklet is going deeply into the functions of geometry, it includes a lot introductory fabric which in past times won't were recognized to the scholar. The optimistic process utilizing compass and straightedge engages scholars, not only on an highbrow point, but in addition at a tactile point. this can be the single rigorous booklet delivering geometry that makes an attempt to interact scholars outdoors of the math discipline.Contents:

  • Triangle and sq. Grids
  • The Pythagorean Theorem
  • Scan changing of a Line Segment
  • Compass and Straightedge buildings (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 buildings (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 drawn to enhancing their visible realizing in geometry.
Key Features:

  • Engages the coed in hands-on actions utilizing compass, straightedge, and protractor. In speaking approximately parts and vectors, geoboards are used. an immense fractal wallhanging is built utilizing the iterative functionality procedure. Compass and straightedge is used to create remarkable patterns
  • There are many novel subject matters no longer lined in different books on geometry corresponding to logarithmic spirals, Voronoi domain names with program to development popularity, parallel traces with software to bracing a framework, fractals, kaleidocopes, an creation to staff theory
  • Projective geometry is brought at a optimistic point. the coed is engaged in conducting thirteen primary buildings of projective geometry. through targeting projective geometry, the houses of Euclidean geometry turn into extra comprehensible — together with the character of infinity and the that means of parallel lines

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A Participatory Approach to Modern Geometry by Jay Kappraff

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