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Curved Spaces by
Call Number: 30 Wi
Publication Date: 2007-12-13
This self-contained 2007 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.
Algebraic Geometry by
Call Number: 34 Ha
An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology.
Algebraic Varieties by
Call Number: ONLINE and 34 Ke
In this book, Professor Kempf gives an introduction to the theory of algebraic varieties from a sheaf theoretic standpoint. By taking this view he is able to give a clean and lucid account of the subject, which will be easily accessible to all newcomers to algebraic varieties.
Differential Geometry of Curves and Surfaces by
Call Number: 36 Ca
One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects.
מיון הנושאים 30-39
31 Foundations. Synthetic geometry. Non-Euclidean geometry. Finite geometries. Hyperbolic geometry
32 Trigonometry. Geodesy. Spherical geometry. Cartography
33 Analytic geometry. n-dimensional Euclidean geometry
34 Algebraic geometry. Algebraic groups. Varieties. Differential forms (see 79). Quantum groups. Tropical geometry
35 Projective geometry. Descriptive geometry
36 Differential geometry. Riemann spaces. Super-geometry. Symplectic geometry
37 Vector and tensor analysis. Tensorial sets. Quaternions. Spinors. Clifford algebras
38 Integral geometry
39 Convex and discrete geometry. Convex sets. Distance geometry. Polytopes and polyhedra