A Participatory Approach to Modern Geometry by Jay Kappraff

By Jay Kappraff

This e-book goals to make the topic of geometry and its functions effortless and cozy 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 adequate novel fabric to curiosity scholars at a better cognitive point. whereas the e-book is going deeply into the purposes of geometry, it includes a lot introductory fabric which in the past would possibly not were identified to the scholar. The confident procedure 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 publication providing geometry that makes an attempt to interact scholars outdoor 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 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 attracted to bettering 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. a massive fractal wallhanging is built utilizing the iterative functionality method. Compass and straightedge is used to create really good patterns
  • There are many novel subject matters now not coated in different books on geometry corresponding to logarithmic spirals, Voronoi domain names with program to trend reputation, parallel strains with software to bracing a framework, fractals, kaleidocopes, an advent to team theory
  • Projective geometry is brought at a optimistic point. the coed is engaged in accomplishing thirteen basic buildings of projective geometry. through targeting projective geometry, the homes of Euclidean geometry develop into extra comprehensible — together with the character of infinity and the that means of parallel lines

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