Edición de la obra Geometric methods and optimization problems
| Autor | V. G. Bolti͡anskiĭ |
|---|---|
| Editorial | Kluwer Academic Publishers |
| Fecha de publicación | 1999 |
| Lugar | Dordrecht, Boston |
| Idioma | inglés |
| Páginas | 429 |
| ISBN-10 | 0792354540 |
| OCLC | 39923684 |
| LCCN | 98045185 |
| Serie | Combinatorial optimization ; · v. 4 |
| Número de Cutter | B694g |
This book focuses on three disciplines of applied mathematics: control theory, location science and computational geometry. The authors show how methods and tools from convex geometry in a wider sense can help solve various problems from these disciplines. More precisely they consider mainly the tent method (as an application of a generalized separation theory of convex cones) in nonclassical variational calculus, various median problems in Euclidean and other Minkowski spaces (including a detailed discussion of the Fermat-Torricelli problem) and different types of partitionings of topologically complicated polygonal domains into a minimum number of convex pieces. Figures are used extensively throughout the book and there is also a large collection of exercises. Audience: Graduate students, teachers and researchers.