A work on tensor analysis and differential geometry, published as Volume 1 of the Mathematics in Science and Engineering series by Academic Press in 1965.
A widely used calculus textbook covering differential and integral calculus with analytic geometry, authored by Thomas and Finney; fifth edition with a fifth printing in June 1981.
This book introduces the fundamentals of projective plane geometry, covering key concepts such as points at infinity, projective transformations, and invariants. It is intended for undergraduate mathematics students.
A comprehensive treatment of Geometry, covering classical and modern topics with rigorous exposition, intended for advanced students.
This volume contains selected papers from a conference held at the University of Toronto (1974), focusing on foundational issues in Geometry, including axiomatic systems and logical structures.
This book presents the fundamental principles of both projective and Euclidean geometry, highlighting their relationships and differences. It is suitable for students seeking a solid foundation in Geometry, with emphasis on structure, proofs, and geometric reasoning.
This book provides a rigorous introduction to the foundations of both Euclidean and non-Euclidean geometry. Richard L. Faber develops the axiomatic structure of geometric systems and examines the differences between classical Euclidean geometry and alternative geometries. The text is suitable for advanced students and focuses on logical reasoning, proofs, and the theoretical basis of Geometry.
This volume is part of a comprehensive series on modern geometry, focusing on the geometry and topology of manifolds. The authors develop fundamental concepts of Differential Geometry and Topology, including smooth manifolds, vector fields, and global geometric structures. The book combines rigorous theory with applications, making it an important resource for advanced students and researchers …
This book introduces geometry through the concept of transformations, focusing on distortion as a fundamental idea. Z. P. Dienes and E. W. Golding present geometric concepts using movement, mapping, and transformation rather than traditional static methods. It is particularly useful for students and teachers seeking a modern and intuitive approach to Geometry, emphasizing understanding through …
This book provides a comprehensive introduction to non-Euclidean geometry, exploring geometrical systems that differ from classical Euclidean assumptions. H. S. M. Coxeter presents the foundations of hyperbolic and elliptic geometries, along with their historical development and mathematical significance. The text is known for its clear exposition and rich geometric insight, making it valuable …