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Geometry Transformed: Euclidean Plane Geometry Based on Rigid Motions free ebook download

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Mathematics

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Author(s):	James R. King

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	1470463075
Pages:	258	OCR:		Quality:		ISBN13:
Uploader:	gestalt	Upload Date:	7/7/2021 7:01:01 AM

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Many paths lead into Euclidean plane geometry. Geometry Transformed offers an expeditious yet rigorous route using axioms based on rigid motions and dilations. Since transformations are available at the outset, interesting theorems can be proved sooner  and proofs can be connected to visual and tactile intuition about symmetry and motion. The reader thus gains valuable experience thinking with transformations, a skill that may be useful in other math courses or applications. For students interested in teaching mathematics at the secondary school level, this approach is particularly useful since geometry in the Common Core State Standards is based on rigid motions.\n\nThe only prerequisite for this book is a basic understanding of functions. Some previous experience with proofs may be helpful, but students can also learn about proofs by experiencing them in this bookin a context where they can draw and experiment. The eleven chapters are organized in a flexible way to suit a variety of curriculum goals. In addition to a geometrical core that includes finite symmetry groups, there are additional topics on circles and on crystallographic and frieze groups, and a final chapter on affine and Cartesian coordinates. The exercises are a mixture of routine problems, experiments, and proofs.

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	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3015199	Book	https://florenfile.com/nl5v376ypw79/1470...		0.00	gestalt

Tags: Based Euclidean Geometry Motions Plane Rigid Transformed

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Geometry Transformed: Euclidean Plane Geometry Based on Rigid Motions free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics