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Lectures on Convex Geometry, Paperback by Hug, Daniel; Weil, Wolfgang, Like N...
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- Buy It NowLectures on Convex Geometry, Paperback by Hug, Daniel; Weil, Wolfgang, Like N...
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eBay item number:354976915600
Item specifics
- Condition
- Book Title
- Lectures on Convex Geometry
- ISBN
- 9783030501822
- EAN
- 9783030501822
- Series
- Graduate Texts in Mathematics Ser.
- Publication Year
- 2021
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Publication Name
- Lectures on Convex Geometry
- Item Length
- 9.3in
- Publisher
- Springer International Publishing A&G
- Item Width
- 6.1in
- Item Weight
- 16.7 Oz
- Number of Pages
- Xviii, 287 Pages
About this product
Product Information
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.
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
3030501825
ISBN-13
9783030501822
eBay Product ID (ePID)
25050398281
Product Key Features
Publication Name
Lectures on Convex Geometry
Format
Trade Paperback
Language
English
Series
Graduate Texts in Mathematics Ser.
Publication Year
2021
Type
Textbook
Number of Pages
Xviii, 287 Pages
Dimensions
Item Length
9.3in
Item Width
6.1in
Item Weight
16.7 Oz
Additional Product Features
Series Volume Number
286
Number of Volumes
1 Vol.
Lc Classification Number
Qa639.5-640.7
Reviews
"'Lectures on convex geometry' is an excellent graduate book about convex geometry. ... The book is very well-organized. ... The presentation is clear, well-composed and illustrated. The problems at the end of each subchapter are carefully selected and revised. The whole text is readable, interesting and easy to learn from. ... the book is excellent and it can serve the studies of the future generation students in convex geometry." (Gergely Kiss, zbMATH 1487.52001, 2022) "The book is informative, very interesting, and mathematically accessible, and the authors have achieved the purpose that they outline above. As the title suggests, Lectures on convex geometry is well suited to be used as the prescribed textbook for graduate courses in convex geometry; this is because of its pedagogical style and the quality of the exercises. It will also be useful to students intending to pursue a research career in the area ... ." (Daniel John Fresen, Mathematical Reviews, June, 2022), "The book is informative, very interesting, and mathematically accessible, and the authors have achieved the purpose that they outline above. As the title suggests, Lectures on convex geometry is well suited to be used as the prescribed textbook for graduate courses in convex geometry; this is because of its pedagogical style and the quality of the exercises. It will also be useful to students intending to pursue a research career in the area ... ." (Daniel John Fresen, Mathematical Reviews, June, 2022)
Table of Content
Preface.- Preliminaries and Notation.- 1. Convex Sets.- 2. Convex Functions.- 3. Brunn-Minkowski Theory.- 4. From Area Measures to Valuations.- 5. Integral Geometric Formulas.-6. Solutions of Selected Exercises.- References.- Index.
Copyright Date
2020
Topic
Geometry / Analytic, Geometry / General, Discrete Mathematics
Dewey Decimal
516.08
Dewey Edition
23
Illustrated
Yes
Genre
Mathematics
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eBay item number:354976915600
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