A Participatory Approach to Modern Geometry by Jay Kappraff

By Jay Kappraff

This e-book 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 coach scholars at varied degrees of computational skill and there's additionally enough novel fabric to curiosity scholars at the next cognitive point. whereas the ebook is going deeply into the functions of geometry, it comprises a lot introductory fabric which during the past won't were recognized to the coed. The positive technique utilizing compass and straightedge engages scholars, not only on an highbrow point, but additionally at a tactile point. this can be the single rigorous publication delivering geometry that makes an attempt to have interaction 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 realm inside 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 attracted to bettering their visible realizing 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 tremendous fractal wallhanging is built utilizing the iterative functionality process. Compass and straightedge is used to create terrific patterns
  • There are many novel issues now not coated in different books on geometry akin to logarithmic spirals, Voronoi domain names with software to development acceptance, parallel strains with software to bracing a framework, fractals, kaleidocopes, an creation to crew theory
  • Projective geometry is brought at a positive point. the scholar is engaged in accomplishing thirteen basic buildings of projective geometry. by means of 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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