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 …
This book presents an informal and insightful exploration of complex algebraic curves and their geometric properties. C. Herbert Clemens introduces key concepts such as theta functions and Jacobi varieties through a collection of notes and examples rather than a strictly formal textbook approach. It is particularly useful for graduate students and researchers interested in Algebraic Geometry, o…
This book presents a systematic and rigorous approach to transformation geometry using deductive methods. It explores geometric transformations such as translations, rotations, reflections, and dilations, emphasizing logical development and proof-based learning. The book is designed for students to develop a deep understanding of geometric structures through transformations.
This book provides an accessible introduction to singularity theory from a geometric perspective. It studies curves and their singular points, explaining how geometric shapes change under deformation. The text combines intuitive geometric ideas with rigorous mathematical methods, making it suitable for undergraduate and graduate students interested in differential geometry and singularity theory.
This book presents key results and challenging problems in combinatorial geometry. It is intended for advanced students and researchers interested in geometric structures and combinatorial methods.
This book studies analytic functions through polynomial expansions, presenting classical results in complex analysis. It is suitable for advanced undergraduate and graduate mathematics students.
A comprehensive academic text on the study of opaque minerals using reflected light microscopy, focusing on identification, textures, and relationships of ore minerals.