By Jay Kappraff

ISBN-10: 981455670X

ISBN-13: 9789814556705

This booklet goals to make the topic of geometry and its purposes effortless and cozy to appreciate by way of scholars majoring in arithmetic or the liberal arts, structure and layout. it may be used to coach scholars at varied degrees of computational skill and there's additionally enough novel fabric to curiosity scholars at a better cognitive point. whereas the publication is going deeply into the functions of geometry, it comprises a lot introductory fabric which in past times would possibly not were identified to the scholar. The positive process utilizing compass and straightedge engages scholars, not only on an highbrow point, but additionally at a tactile point. this can be the one rigorous publication supplying 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 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 drawn to enhancing their visible realizing 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 incredible fractal wallhanging is developed utilizing the iterative functionality process. Compass and straightedge is used to create brilliant patterns
  • There are many novel issues now not lined in different books on geometry similar to logarithmic spirals, Voronoi domain names with program to development attractiveness, parallel traces with program to bracing a framework, fractals, kaleidocopes, an advent to workforce theory
  • Projective geometry is brought at a optimistic point. the coed is engaged in accomplishing thirteen basic structures 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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