Lectures on convex sets
Material type:
TextPublication details: New Jersey : World Scientific Publishing, 2015. Description: x, 405 pages ; 24 cmISBN: 9789814656696Subject(s): Convex sets | Convex geometryDDC classification: 514.17 Online resources: Table of content | Reviews Summary: This book provides a systematic treatment of algebraic and topological properties of convex sets (possibly non-closed or unbounded) in the n-dimensional Euclidean space. Topics under consideration include general properties of convex sets and convex hulls, cones and conic hulls, polyhedral sets, the extreme structure, support and separation properties of convex sets.
Lectures on Convex Sets is self-contained and unified in presentation. The book grew up out of various courses on geometry and convexity, taught by the author for more than a decade. It can be used as a textbook for graduate students and even ambitious undergraduates in mathematics, optimization, and operations research. It may also be viewed as a supplementary book for a course on convex geometry or convex analysis, or as a source for independent study of the subject, suitable for non-geometers.
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Book
|
NISER LIBRARY | 514.17 SOL-L (Browse shelf(Opens below)) | Available | 25607 |
Browsing NISER LIBRARY shelves Close shelf browser (Hides shelf browser)
| 514.17 BUE-D Diagram geometry: related to classical groups and buildings | 514.17 BUE-D Diagram geometry: related to classical groups and buildings | 514.17 KAL-G Geometric aspects of functional analysis | 514.17 SOL-L Lectures on convex sets | 514.172 SIM-C Convexity : | 514.172.4 GUI-M Moment maps and combinatorial invariants of hamiltonian T n-spaces | 514.172.4 ODA-C Convex bodies and algebraic geometry: an introduction to the theory of toric varieties |
Includes bibliographical references and index.
This book provides a systematic treatment of algebraic and topological properties of convex sets (possibly non-closed or unbounded) in the n-dimensional Euclidean space. Topics under consideration include general properties of convex sets and convex hulls, cones and conic hulls, polyhedral sets, the extreme structure, support and separation properties of convex sets.
Lectures on Convex Sets is self-contained and unified in presentation. The book grew up out of various courses on geometry and convexity, taught by the author for more than a decade. It can be used as a textbook for graduate students and even ambitious undergraduates in mathematics, optimization, and operations research. It may also be viewed as a supplementary book for a course on convex geometry or convex analysis, or as a source for independent study of the subject, suitable for non-geometers.
There are no comments on this title.