Principles of Geometry
Title | Principles of Geometry PDF eBook |
Author | Henry Frederick Baker |
Publisher | |
Pages | 204 |
Release | 1922 |
Genre | Geometry |
ISBN |
Principles of Geometry
Title | Principles of Geometry PDF eBook |
Author | H. F. Baker |
Publisher | Cambridge University Press |
Pages | 204 |
Release | 2010-10-31 |
Genre | Mathematics |
ISBN | 1108017770 |
A benchmark study of projective geometry and the birational theory of surfaces, first published between 1922 and 1925.
Principles of Geometry
Title | Principles of Geometry PDF eBook |
Author | Henry Frederick Baker |
Publisher | |
Pages | 224 |
Release | 1929 |
Genre | Geometry |
ISBN |
Principles of Geometry
Title | Principles of Geometry PDF eBook |
Author | Henry Frederick Baker |
Publisher | |
Pages | 208 |
Release | 1922 |
Genre | Geometry |
ISBN |
$h$-Principles and Flexibility in Geometry
Title | $h$-Principles and Flexibility in Geometry PDF eBook |
Author | Hansjörg Geiges |
Publisher | American Mathematical Soc. |
Pages | 74 |
Release | 2003 |
Genre | Mathematics |
ISBN | 0821833154 |
The notion of homotopy principle or $h$-principle is one of the key concepts in an elegant language developed by Gromov to deal with a host of questions in geometry and topology. Roughly speaking, for a certain differential geometric problem to satisfy the $h$-principle is equivalent to saying that a solution to the problem exists whenever certain obvious topological obstructions vanish. The foundational examples for applications of Gromov's ideas include (i) Hirsch-Smale immersion theory, (ii) Nash-Kuiper $C^1$-isometric immersion theory, (iii) existence of symplectic and contact structures on open manifolds. Gromov has developed several powerful methods that allow one to prove $h$-principles. These notes, based on lectures given in the Graduiertenkolleg of Leipzig University, present two such methods which are strong enough to deal with applications (i) and (iii).
A Treatise of Geometry, Containing the First Six Books of Euclid's Elements
Title | A Treatise of Geometry, Containing the First Six Books of Euclid's Elements PDF eBook |
Author | Daniel Cresswell |
Publisher | |
Pages | 540 |
Release | 1819 |
Genre | Geometry |
ISBN |
Principles of Algebraic Geometry
Title | Principles of Algebraic Geometry PDF eBook |
Author | Phillip Griffiths |
Publisher | John Wiley & Sons |
Pages | 837 |
Release | 2014-08-21 |
Genre | Mathematics |
ISBN | 111862632X |
A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds.