A Participatory Approach to Modern Geometry by Jay Kappraff PDF

By Jay Kappraff

ISBN-10: 981455670X

ISBN-13: 9789814556705

This e-book goals to make the topic of geometry and its functions effortless and comfy to appreciate through scholars majoring in arithmetic or the liberal arts, structure and layout. it may be used to coach scholars at assorted degrees of computational skill and there's additionally adequate novel fabric to curiosity scholars at a better cognitive point. whereas the publication is going deeply into the purposes of geometry, it includes a lot introductory fabric which prior to now won't were identified to the scholar. The confident procedure utilizing compass and straightedge engages scholars, not only on an highbrow point, but additionally at a tactile point. this can be the single rigorous ebook providing geometry that makes an attempt to interact 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 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 buildings (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 realizing in geometry.
Key Features:

  • Engages the coed in hands-on actions utilizing compass, straightedge, and protractor. In conversing approximately parts and vectors, geoboards are used. a tremendous fractal wallhanging is built utilizing the iterative functionality method. Compass and straightedge is used to create exceptional patterns
  • There are many novel themes no longer lined in different books on geometry akin to logarithmic spirals, Voronoi domain names with software to development attractiveness, parallel strains with program to bracing a framework, fractals, kaleidocopes, an creation to team theory
  • Projective geometry is brought at a positive point. the scholar is engaged in undertaking thirteen primary buildings of projective geometry. via concentrating on projective geometry, the houses of Euclidean geometry turn into extra comprehensible — together with the character of infinity and the which means of parallel lines

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A Participatory Approach to Modern Geometry by Jay Kappraff

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