Mathematics of Surfaces XIII
Title | Mathematics of Surfaces XIII PDF eBook |
Author | Edwin R. Hancock |
Publisher | Springer Science & Business Media |
Pages | 418 |
Release | 2009-08-06 |
Genre | Computers |
ISBN | 3642035957 |
This book constitutes the refereed proceedings of the 13th IMA International Conference on the Mathematics of Surfaces held in York, UK in September 2009. The papers in the present volume include seven invited papers, as well as 16 submitted papers. The topics covered include subdivision schemes and their continuity, polar patchworks, compressive algorithms for PDEs, surface invariant functions, swept volume parameterization, Willmore flow, computational conformal geometry, heat kernel embeddings, and self-organizing maps on manifolds, mesh and manifold construction, editing, flattening, morphing and interrogation, dissection of planar shapes, symmetry processing, morphable models, computation of isophotes, point membership classification and vertex blends. Surface types considered encompass polygon meshes as well as parametric and implicit surfaces.
Mostly Surfaces
Title | Mostly Surfaces PDF eBook |
Author | Richard Evan Schwartz |
Publisher | American Mathematical Soc. |
Pages | 330 |
Release | 2011 |
Genre | Mathematics |
ISBN | 0821853686 |
The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigorous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis. --from publisher description.
Real Enriques Surfaces
Title | Real Enriques Surfaces PDF eBook |
Author | Alexander Degtyarev |
Publisher | Springer |
Pages | 275 |
Release | 2007-05-06 |
Genre | Mathematics |
ISBN | 3540399488 |
This is the first attempt of a systematic study of real Enriques surfaces culminating in their classification up to deformation. Simple explicit topological invariants are elaborated for identifying the deformation classes of real Enriques surfaces. Some of theses are new and can be applied to other classes of surfaces or higher-dimensional varieties. Intended for researchers and graduate students in real algebraic geometry it may also interest others who want to become familiar with the field and its techniques. The study relies on topology of involutions, arithmetics of integral quadratic forms, algebraic geometry of surfaces, and the hyperkähler structure of K3-surfaces. A comprehensive summary of the necessary results and techniques from each of these fields is included. Some results are developed further, e.g., a detailed study of lattices with a pair of commuting involutions and a certain class of rational complex surfaces.
Enriques Surfaces I
Title | Enriques Surfaces I PDF eBook |
Author | F. Cossec |
Publisher | Springer Science & Business Media |
Pages | 409 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461236967 |
This is the first of two volumes representing the current state of knowledge about Enriques surfaces which occupy one of the classes in the classification of algebraic surfaces. Recent improvements in our understanding of algebraic surfaces over fields of positive characteristic allowed us to approach the subject from a completely geometric point of view although heavily relying on algebraic methods. Some of the techniques presented in this book can be applied to the study of algebraic surfaces of other types. We hope that it will make this book of particular interest to a wider range of research mathematicians and graduate students. Acknowledgements. The undertaking of this project was made possible by the support of several institutions. Our mutual cooperation began at the University of Warwick and the Max Planck Institute of Mathematics in 1982/83. Most of the work in this volume was done during the visit of the first author at the University of Michigan in 1984-1986. The second author was supported during all these years by grants from the National Science Foundation.
Surfaces in 4-Space
Title | Surfaces in 4-Space PDF eBook |
Author | Scott Carter |
Publisher | Springer Science & Business Media |
Pages | 234 |
Release | 2004-04-05 |
Genre | Mathematics |
ISBN | 9783540210405 |
This book discusses knotted surfaces in 4-dimensional space and surveys many of the known results, including knotted surface diagrams, constructions of knotted surfaces, classically defined invariants, and new invariants defined via quandle homology theory.
Mathematics of Surfaces
Title | Mathematics of Surfaces PDF eBook |
Author | |
Publisher | |
Pages | 0 |
Release | 1986 |
Genre | |
ISBN |
Kummer's Quartic Surface
Title | Kummer's Quartic Surface PDF eBook |
Author | Ronald William Henry Turnbull Hudson |
Publisher | |
Pages | 56 |
Release | 1905 |
Genre | Functions, Theta |
ISBN |