A classic and rigorous treatment of Ordinary Differential Equations, covering existence theory, stability, and qualitative behavior of solutions. Widely used by advanced students and researchers.
This volume contains research papers presented at a conference honoring T. G. Ostrom, focusing on developments in Finite Geometry. Topics include combinatorial structures, projective planes, and applications of finite geometric methods.
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 textbook provides a comprehensive introduction to trigonometry, covering fundamental concepts such as angles, trigonometric functions, identities, equations, and their applications. Cameron B. Douthitt and Joe A. McMillan present the material in a clear and structured manner, with numerous examples and exercises to support learning. The book is suitable for students seeking a solid foundat…
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 classic work explores the geometry and symmetry of the icosahedron by presenting all fifty-nine distinct stellations of this regular polyhedron. The authors provide detailed constructions, diagrams, and mathematical analysis of these complex forms. The book is a significant contribution to the study of Geometry, particularly in the areas of polyhedral theory and spatial symmetry, making it…
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 …
This classic book offers a deeper exploration of elementary geometry, emphasizing elegant proofs and geometric insight. The authors revisit fundamental topics such as triangles, circles, and polyhedra, presenting them in a more sophisticated and enriching way. It is designed to bridge the gap between elementary and advanced mathematics, making it valuable for students, teachers, and anyone inte…