Jay Kappraff's A Participatory Approach to Modern Geometry PDF

By Jay Kappraff

ISBN-10: 981455670X

ISBN-13: 9789814556705

This e-book goals to make the topic of geometry and its functions effortless and comfy to appreciate via 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 purposes of geometry, it comprises a lot introductory fabric which in the past won't were recognized to the scholar. The confident technique utilizing compass and straightedge engages scholars, not only on an highbrow point, but in addition at a tactile point. this can be the one rigorous ebook delivering geometry that makes an attempt to have interaction scholars outdoors 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 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 knowing in geometry.
Key Features:

  • Engages the coed in hands-on actions utilizing compass, straightedge, and protractor. In conversing approximately parts and vectors, geoboards are used. an immense fractal wallhanging is developed utilizing the iterative functionality process. Compass and straightedge is used to create awesome patterns
  • There are many novel subject matters no longer coated in different books on geometry similar to logarithmic spirals, Voronoi domain names with program to development reputation, parallel traces with program to bracing a framework, fractals, kaleidocopes, an advent to workforce theory
  • Projective geometry is brought at a confident point. the coed is engaged in undertaking thirteen primary buildings of projective geometry. through targeting projective geometry, the houses of Euclidean geometry develop 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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