000			02857nam a22003257a 4500
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040			_aNISER LIBRARY _beng _erda _cNISER LIBRARY
082	0	0	_a514.12 _bKIN-G
100	1		_aKing, James R.
245	1	0	_aGeometry transformed : _beuclidean plane geometry based on rigid motions
260			_aIndia : _bUniversities Press, _c2025.
300			_axxii, 258 pages : _billustrations (some color) ; _c26 cm
490	0		_aPure and applied undergraduate texts, _x1943-9334 ; _v51
490	0		_aThe Sally series
504			_aIncludes bibliographical references and index.
520			_aMany 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. The 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 book—in 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. This book is published in cooperation with IAS/Park City Mathematics Institute.
521			_aReadership: Undergraduate and graduate students interested in geometry aligned with Common Core standards (CCSSM).
650		0	_aEuclid's Elements.
650		0	_aGeometry, Plane.
650		0	_aRigidity (Geometry)
650		7	_aReal and complex geometry _xElementary problems in Euclidean geometries
650		7	_aAnalytic and descriptive geometry
650		7	_aGroup theory and generalizations
856			_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/amstext-51-toc.pdf?_gl=1*bxle4k*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAwNDYzMjQkbzEkZzEkdDE3NTAwNTc2ODMkajU2JGwwJGgw
856			_3Reviews _uhttps://www.goodreads.com/book/show/65639718-geometry-transformed?ref=nav_sb_ss_1_13#CommunityReviews
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