000			02571nam a22003257a 4500
003			OSt
005			20250801143618.0
008			250801b |||||||| |||| 00| 0 eng d
020			_a9781470463076
020			_a9789349750159 (pbk.) _c$ 99.00
040			_bENG _cIISER-BPR _dIISER-BPR
041			_aENG
082			_a516.22 _bKIN _223rd
100			_aKing, James R. _95556
222			_aMathematics
245			_aGeometry transformed : _bEuclidean plane geometry based on rigid motions
250			_a1st Indian ed.
260			_aRhode Island : _bAmerican Mathematical Society, _cc2021.
260			_aHyderabad : _bUniversity Press (India) Pvt. Ltd., _c2025.
300			_axxii, 258 p. : _bill. ; _c24cm
440			_aPure and Applied Undergraduate Texts _vVol. 51 _93640
504			_aIncludes illustrations, bibliographic references and subject 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. Readership: Undergraduate and graduate students interested in geometry aligned with Common Core standards (CCSSM).
650			_aMathematics
650			_aGeometry
650			_aPlane geometry _95557
650			_aEuclidean plane geometry _95558
650			_aRigid motions _95559
942			_2ddc _cBK
999			_c4296 _d4296