Geometry transformed : Euclidean plane geometry based on rigid motions
King, James R.
Geometry transformed : Euclidean plane geometry based on rigid motions - 1st Indian ed. - Rhode Island : American Mathematical Society, c2021. Hyderabad : University Press (India) Pvt. Ltd., 2025. - xxii, 258 p. : ill. ; 24cm - Pure and Applied Undergraduate Texts Vol. 51 .
Includes illustrations, bibliographic references and subject index.
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 bookâin 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).
9781470463076 9789349750159 (pbk.) $ 99.00 = Mathematics
Mathematics
Geometry
Plane geometry
Euclidean plane geometry
Rigid motions
516.22 / KIN
Geometry transformed : Euclidean plane geometry based on rigid motions - 1st Indian ed. - Rhode Island : American Mathematical Society, c2021. Hyderabad : University Press (India) Pvt. Ltd., 2025. - xxii, 258 p. : ill. ; 24cm - Pure and Applied Undergraduate Texts Vol. 51 .
Includes illustrations, bibliographic references and subject index.
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 bookâin 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).
9781470463076 9789349750159 (pbk.) $ 99.00 = Mathematics
Mathematics
Geometry
Plane geometry
Euclidean plane geometry
Rigid motions
516.22 / KIN
