Download A Participatory Approach to Modern Geometry by Jay Kappraff PDF

By Jay Kappraff

This booklet 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 assorted degrees of computational skill and there's additionally adequate 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 during the past would possibly not were recognized to the scholar. The confident method utilizing compass and straightedge engages scholars, not only on an highbrow point, but additionally at a tactile point. this can be the one rigorous ebook supplying geometry that makes an attempt to have interaction scholars open air 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 realm 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 advent to Fractals
  • Isometries and Matrices

Readership: Undergraduate scholars of any self-discipline drawn to enhancing their visible figuring out in geometry.
Key Features:

  • Engages the coed in hands-on actions utilizing compass, straightedge, and protractor. In speaking approximately components and vectors, geoboards are used. a massive fractal wallhanging is developed utilizing the iterative functionality procedure. Compass and straightedge is used to create fabulous patterns
  • There are many novel issues no longer coated in different books on geometry resembling logarithmic spirals, Voronoi domain names with program to trend acceptance, parallel strains with program to bracing a framework, fractals, kaleidocopes, an advent to team theory
  • Projective geometry is brought at a confident point. the coed is engaged in engaging in thirteen primary buildings of projective geometry. by means of concentrating on projective geometry, the homes of Euclidean geometry develop into extra comprehensible — together with the character of infinity and the which means of parallel lines

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