Publisher's Synopsis
Modern Geometry is a comprehensive textbook written by Charles Godfrey and first published in 1908. The book covers a wide range of topics in geometry, including Euclidean geometry, non-Euclidean geometry, projective geometry, and analytical geometry. It is intended for students and teachers of mathematics and is suitable for use in high school and college-level courses.The book is divided into six parts, each of which covers a different aspect of geometry. Part I introduces the basic concepts of Euclidean geometry, including points, lines, and angles, and covers topics such as congruence, similarity, and the Pythagorean theorem. Part II explores non-Euclidean geometry, including hyperbolic and elliptic geometry, and discusses the implications of these geometries for the foundations of mathematics.Part III covers projective geometry, which involves the study of properties that are invariant under projective transformations. This section includes discussions of cross-ratios, harmonic ratios, and the principle of duality. Part IV introduces analytical geometry, which uses algebraic methods to study geometric objects. This section covers topics such as conic sections, curves and surfaces, and the geometry of three-dimensional space.Part V covers the geometry of transformation, which involves the study of geometric objects and their properties under various transformations such as translation, rotation, and reflection. This section includes discussions of symmetry, isometries, and the group theory of transformations. Finally, Part VI covers the geometry of higher dimensions, including the study of n-dimensional space, polytopes, and the geometry of non-Euclidean spaces.Throughout the book, Godfrey provides clear explanations of the concepts and theorems of geometry, and includes numerous examples and exercises to help students develop their understanding of the subject. The book also includes historical notes and biographical information about important mathematicians who contributed to the development of geometry. Overall, Modern Geometry is a valuable resource for anyone interested in the study of geometry and its applications.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
