Lectures on Convex Geometry (Record no. 60510)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01849nam a22002537a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240708b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783030501792 (PB) |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 514 |
| Item number | HUG |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Hug, Daniel |
| 245 ## - TITLE STATEMENT | |
| Title | Lectures on Convex Geometry |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Cham |
| Name of publisher | Springer |
| Year of publication | 2020 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xviii, 287p. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Graduate Texts in Mathematics |
| Volume number/sequential designation | 286 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes References (281-284) and Index |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Convex Sets <br/> 2. Convex Functions<br/> 3. Brunn-Minkowski Theory<br/> 4. From Area Measures to Valuations <br/> 5. Integral-Geometric Formulas <br/> 6. Solutions of Selected Exercises |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book provides a self-contained introduction to convex geometry in Euclidean space. After covering the basic concepts and results, it develops Brunn–Minkowski theory, with an exposition of mixed volumes, the Brunn–Minkowski inequality, and some of its consequences, including the isoperimetric inequality. Further central topics are then treated, such as surface area measures, projection functions, zonoids, and geometric valuations. Finally, an introduction to integral-geometric formulas in Euclidean space is provided. The numerous exercises and the supplementary material at the end of each section form an essential part of the book. Convexity is an elementary and natural concept. It plays a key role in many mathematical fields, including functional analysis, optimization, probability theory, and stochastic geometry. Paving the way to the more advanced and specialized literature, the material will be accessible to students in the third year and can be covered in one semester. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Convexity |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Convex and Discrete Geometry |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Measure and Integration |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Weil, Wolfgang |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Full call number | Accession Number | Koha item type | Owner (If the Item is Gratis) |
|---|---|---|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | First Floor, Rack No: 30, Shelf No: 33 | 514 HUG | 78074 | BOOKS | Gratis by NBHM |