TY  - BOOK
AU  - King,James R.
TI  - Geometry transformed: euclidean plane geometry based on rigid motions
T2  - Pure and applied undergraduate texts,
SN  - 9789349750159
U1  - 514.12 
PY  - 2025///
CY  - India
PB  - Universities Press
KW  - Euclid's Elements
KW  - Geometry, Plane
KW  - Rigidity (Geometry)
KW  - Real and complex geometry
KW  - Elementary problems in Euclidean geometries
KW  - Analytic and descriptive geometry
KW  - Group theory and generalizations
N1  - Includes bibliographical references and index; Readership: Undergraduate and graduate students interested in geometry aligned with Common Core standards (CCSSM)
N2  - 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.

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
UR  - https://www.ams.org/bookstore/pspdf/amstext-51-toc.pdf?_gl=1*bxle4k*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAwNDYzMjQkbzEkZzEkdDE3NTAwNTc2ODMkajU2JGwwJGgw
UR  - https://www.goodreads.com/book/show/65639718-geometry-transformed?ref=nav_sb_ss_1_13#CommunityReviews
ER  -