A Participatory Approach to Modern Geometry - download pdf or read online

By Jay Kappraff

This e-book goals to make the topic of geometry and its purposes effortless and cozy to appreciate by means of scholars majoring in arithmetic or the liberal arts, structure and layout. it may be used to coach scholars at various degrees of computational skill and there's additionally enough novel fabric to curiosity scholars at the next cognitive point. whereas the e-book is going deeply into the functions of geometry, it includes a lot introductory fabric which in past times won't were identified to the scholar. The positive technique 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 providing geometry that makes an attempt to interact scholars open air of the maths discipline.Contents:

  • Triangle and sq. Grids
  • The Pythagorean Theorem
  • Scan changing of a Line Segment
  • Compass and Straightedge structures (Part 1: the realm 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 advent to Fractals
  • Isometries and Matrices

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

  • Engages the scholar in hands-on actions utilizing compass, straightedge, and protractor. In conversing approximately parts and vectors, geoboards are used. an incredible fractal wallhanging is developed utilizing the iterative functionality process. Compass and straightedge is used to create great patterns
  • There are many novel subject matters no longer lined in different books on geometry reminiscent of logarithmic spirals, Voronoi domain names with software to development attractiveness, parallel traces with program to bracing a framework, fractals, kaleidocopes, an creation to workforce theory
  • Projective geometry is brought at a optimistic point. the coed is engaged in engaging in thirteen basic buildings of projective geometry. via targeting projective geometry, the homes of Euclidean geometry turn 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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