Geometries and Transformations

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book Geometries and Transformations by Norman W. Johnson, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Norman W. Johnson ISBN: 9781108131957
Publisher: Cambridge University Press Publication: April 30, 2017
Imprint: Cambridge University Press Language: English
Author: Norman W. Johnson
ISBN: 9781108131957
Publisher: Cambridge University Press
Publication: April 30, 2017
Imprint: Cambridge University Press
Language: English

Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and transformation groups, this book provides a readable exposition of how these classical geometries are both differentiated and connected. Following Cayley and Klein, the book builds on projective and inversive geometry to construct 'linear' and 'circular' geometries, including classical real metric spaces like Euclidean, hyperbolic, elliptic, and spherical, as well as their unitary counterparts. The first part of the book deals with the foundations and general properties of the various kinds of geometries. The latter part studies discrete-geometric structures and their symmetries in various spaces. Written for graduate students, the book includes numerous exercises and covers both classical results and new research in the field. An understanding of analytic geometry, linear algebra, and elementary group theory is assumed.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and transformation groups, this book provides a readable exposition of how these classical geometries are both differentiated and connected. Following Cayley and Klein, the book builds on projective and inversive geometry to construct 'linear' and 'circular' geometries, including classical real metric spaces like Euclidean, hyperbolic, elliptic, and spherical, as well as their unitary counterparts. The first part of the book deals with the foundations and general properties of the various kinds of geometries. The latter part studies discrete-geometric structures and their symmetries in various spaces. Written for graduate students, the book includes numerous exercises and covers both classical results and new research in the field. An understanding of analytic geometry, linear algebra, and elementary group theory is assumed.

More books from Cambridge University Press

Cover of the book Stand out of our Light by Norman W. Johnson
Cover of the book Human Mobility and Technological Transfer in the Prehistoric Mediterranean by Norman W. Johnson
Cover of the book The Quest for Good Governance by Norman W. Johnson
Cover of the book Biominerals and Fossils Through Time by Norman W. Johnson
Cover of the book International Human Rights Law Documents by Norman W. Johnson
Cover of the book Fragmentation Processes by Norman W. Johnson
Cover of the book Market in State by Norman W. Johnson
Cover of the book Amenhotep III by Norman W. Johnson
Cover of the book A History of Modern Libya by Norman W. Johnson
Cover of the book The Cambridge Introduction to Comedy by Norman W. Johnson
Cover of the book The Brontës in Context by Norman W. Johnson
Cover of the book The Physics of Rock Failure and Earthquakes by Norman W. Johnson
Cover of the book An Introduction to Islamic Law by Norman W. Johnson
Cover of the book The Fight over Digital Rights by Norman W. Johnson
Cover of the book Principles of IVF Laboratory Practice by Norman W. Johnson
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy