Curved Spaces - From Classical Geometry to Elementary Differential Geometry

Curved Spaces: From Classical Geometries

📁 Curved Spaces: From Classical Geometries to Elementary Differential Geometry

✍ P. M. H. Wilson 📂 Library 🏛 Cambridge University Press 🌐 English

This self-contained textbook presents an exposition of the well-known classical two-dimensional geometries, such as Euclidean, spherical, hyperbolic, and the locally Euclidean torus, and introduces the basic concepts of Euler numbers for topological triangulations, and Riemannian metrics. The carefu

Curved Spaces: From Classical Geometries

📁 Curved Spaces: From Classical Geometries to Elementary Differential Geometry

✍ P. M. H. Wilson 📂 Library 📅 2008 🏛 Cambridge University Press 🌐 English

This self-contained textbook presents an exposition of the well-known classical two-dimensional geometries, such as Euclidean, spherical, hyperbolic, and the locally Euclidean torus, and introduces the basic concepts of Euler numbers for topological triangulations, and Riemannian metrics. The carefu

Curved Spaces: From Classical Geometries

📁 Curved Spaces: From Classical Geometries to Elementary Differential Geometry

✍ P. M. H. Wilson 📂 Library 📅 2008 🏛 Cambridge University Press 🌐 English

This self-contained textbook presents an exposition of the well-known classical two-dimensional geometries, such as Euclidean, spherical, hyperbolic, and the locally Euclidean torus, and introduces the basic concepts of Euler numbers for topological triangulations, and Riemannian metrics. The carefu

Elementary Differential Geometry of Plan

📁 Elementary Differential Geometry of Plane Curves

✍ R H. Fowler 📂 Library 📅 2010 🏛 Nabu Press 🌐 English

This precise account of elementary differential properties of plane curves provides a link between analysis and more complicated geometrical theorems, offering background and practice to geometry and analysis students.

A Differential Approach to Geometry: Geo

📁 A Differential Approach to Geometry: Geometric Trilogy III

✍ Francis Borceux 📂 Library 📅 2014 🏛 Springer International Publishing 🌐 English

<p><p>This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometr

A Differential Approach to Geometry: Geo

📁 A Differential Approach to Geometry: Geometric Trilogy III

✍ Borceux F. 📂 Library 📅 2014 🏛 Springer International Publishing 🌐 English

<p><p>This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometr