Geometry Topology

Download e-book for kindle: A Participatory Approach to Modern Geometry by Jay Kappraff

By Jay Kappraff

This publication 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 educate scholars at various degrees of computational skill and there's additionally enough novel fabric to curiosity scholars at a better cognitive point. whereas the booklet 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 coed. The optimistic 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 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 structures (Part 1: the area inside of a Triangle)
  • Congruent Triangles
  • Introduction to Trigonometry
  • The artwork 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 bettering their visible knowing 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 immense fractal wallhanging is developed utilizing the iterative functionality approach. Compass and straightedge is used to create marvelous patterns
  • There are many novel themes no longer coated in different books on geometry akin to logarithmic spirals, Voronoi domain names with program 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 scholar is engaged in engaging in thirteen basic structures of projective geometry. via concentrating on projective geometry, the houses of Euclidean geometry develop into extra comprehensible — together with the character of infinity and the which means of parallel lines

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