Lucid, well-written introduction to elementary geometry usually included in undergraduate and first-year graduate courses in mathematics. Topics include vector algebra in the plane, circles and coaxal systems, mappings of the Euclidean plane, similitudes, isometries, mappings of the intensive plane, much more. Includes over 500 exercises.
Here's a sample of other books in this Dover category
Mathographics by Robert Dixon Stimulating, unique book explores mathematical drawing through compass constructions and computer graphics. Over 100 full-page drawings: five-point egg, golden ratio, plughole vortex, blancmange curve, more. Exercises. 1987 edition.
Introduction to Projective Geometry by C. R. Wylie, Jr. This introductory volume offers strong reinforcement for its teachings, with detailed examples and numerous theorems, proofs, and exercises, plus complete answers to all odd-numbered end-of-chapter problems. 1970 edition.
Linear Geometry by Rafael Artzy This text stresses the relationship between algebra and linear geometry, examining transformations in the Euclidean plane, affine and Euclidean geometry, projective geometry and non-Euclidean geometries, and axiomatic plane geometry. 1974 edition.
Advanced Euclidean Geometry by Roger A. Johnson This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.
Foundations of Geometry by C. R. Wylie, Jr. Geared toward students preparing to teach high school mathematics, this text explores the principles of Euclidean and non-Euclidean geometry and covers both generalities and specifics of the axiomatic method. 1964 edition.
Projective Geometry by T. Ewan Faulkner Highlighted by numerous examples, this book explores methods of the projective geometry of the plane. Examines the conic, the general equation of the 2nd degree, and the relationship between Euclidean and projective geometry. 1960 edition.
Geometry of Classical Fields by Ernst Binz, Jedrzej Sniatycki, Hans Fischer A canonical quantization approach to classical field theory, this text includes an introduction to differential geometry, the theory of Lie groups, and covariant Hamiltonian formulation of field theory. 1988 edition.
Projective Geometry and Projective Metrics by Herbert Busemann, Paul J. Kelly This text examines the 3 classical geometries and their relationship to general geometric structures, with particular focus on affine geometry, projective metrics, non-Euclidean geometry, and spatial geometry. 1953 edition.
The Elements of Non-Euclidean Geometry by D. M.Y. Sommerville Renowned for its lucid yet meticulous exposition, this classic allows students to follow the development of non-Euclidean geometry from a fundamental analysis of the concept of parallelism to more advanced topics. 1914 edition. Includes 133 figures.
The Axioms of Descriptive Geometry by A. N. Whitehead Starting with the formulations of axioms, this text examines associated projective space, ideal points, general theory of correspondence, axioms of congruence, infinitesimal rotations, the absolute, and metrical geometry. 1907 edition.
A Course in the Geometry of n Dimensions by M. G. Kendall This text provides a foundation for resolving proofs dependent on n-dimensional systems. The author takes a concise approach, setting out that part of the subject with statistical applications and briefly sketching them. 1961 edition.
Flatland: A Romance of Many Dimensions by Edwin A. Abbott Classic of science (and mathematical) fiction — charmingly illustrated by the author — describes the adventures of A. Square, a resident of Flatland, in Spaceland (three dimensions), Lineland (one dimension), and Pointland (no dimensions).
